Word Problem

Problem 6601

Suppose the nutrition information on the package of Matilde's favorite brand of chips states that a serving size of 26 g equals about 12 chips. That means, on average, each chip should weigh 2.17 g . Matilde decides to test the accuracy of this serving size information. She plans to conduct a one-sample $t$ -test with a significance level of $\alpha=0.05$ to test the null hypothesis, $H_{0}: \mu=2.17$ , against the alternative hypothesis, $H_{1}: \mu \neq 2.17$ , where $\mu$ is the average weight of a chip. Matilde selects a random sample of unbroken chips to weigh. She does not know the population standard deviation nor the distribution of chip weights, but she has confirmed that her sample does not contain any outliers. The summary statistics for her test are shown in the following table. \begin{tabular}{ccccc} Sample size & Sample mean & Sample standard deviation & Test statistic & Probability value \\ \hline $n$ & $\bar{x}$ & $s$ & $t$ & $P$ -value \\ 50 & 2.19 & 0.11 & 1.500 & 0.140 \end{tabular}
Based on these results, complete the following sentences to state the decision and conclusion of the test.
Matilde's decision is to $\qquad$ the $\qquad$ ( $P=0.140$ ). There is $\qquad$ evidence to $\square$ the claim that the average weight

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Problem 6602

8. FUNDRAISING The cheerleading squad is raising money for new uniforms by selling popcorn balls and calendars. Tanya raised $\$ 70$ by selling 25 popcorn balls and 30 calendars. Nichole raised $\$ 53$ by selling 20 popcorn balls and 22 calendars. What is the cost of one calendar?
A \ $1 B$ \ $1.25$ C \ $1.50 D$ \ $1.75$
9. Solve the following system of equations using an inverse matrix. $\begin{array}{ccc} -4 x-2 y+z=6 & -x-y-2 z=-3 & 2 x+3 y-z=-4 \\ \text { A }(1,0,-2) & \text { B }(-1,0,-2) & \text { C }(-1,0,2) \\ (1,0,2) & \end{array}$ D
10. If $\mathrm{A}=$ , find the determinant of matrix A .
11. What is the determinant of?
A-8 B 8 C 12

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Problem 6603

2.22 Forscher gehen daBC von aus, dass zwei Drittel aller Personen unter 50 Jahren das Herpes-Simplex-Virus HSV-1 in sich tragen. Dieses Virus verursacht vor allem Lippenbläschen. Mit dem Ausdruck $\binom{25}{15} \cdot\left(\frac{2}{3}\right)^{15} \cdot\left(\frac{1}{3}\right)^{10}$ wird die Wahrscheinlichkeit eines bestimmten Ereignisses berechnet. a) Beschreiben Sie, um welches Ereignis es sich handelt. b) Berechnen Sie diese Wahrscheinlichkeit. c) Beschreiben Sie, was der Binomialkoeffizient $\binom{25}{15}$ in Bezug auf ein zum Sachzusammenhang passendes Baumdiagramm angibt.
Aus allen unter 50-Jährigen werden zufällig 36 Personen ausgewählt. d) Berechnen Sie den Erwartungswert $\mu$ und die Standardabweichung $\sigma$ für die Anzahl der Personen in dieser Gruppe, die HSV-1 in sich tragen. e) Berechnen Sie die Wahrscheinlichkeit, dass von diesen 36 Personen genau $\mu$ Personen HSV-1 in sich tragen.

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Problem 6604

4) A rectangle has a length of 2 yards and a width of 7 yards. Find the (a) perimeter and (b) area of the rectangle. $\begin{array}{ll} P=2 L+2 \omega & 18 \\ A=L \omega & 14 y d^{2} \end{array}$ $\square$

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Problem 6605

```latex \text{Consider the bowstring truss shown below.}
\text{This truss is subject to the following orthogonal force pairs:} \begin{tabular}{cccc} & \text{Node force applied to} & F_{x}(\mathrm{~N}) & F_{y}(\mathrm{~N}) \\ \hline \text{Force pair 1} & \text{Node 3} & 0 & -100 \\ \text{Force pair 2} & \text{Node 8} & -140 & 45 \end{tabular}
\text{Both force pairs are applied simultaneously and are measured with respect to a global } x \text{ and } y \text{ axis system.}
\text{Calculate the value of the force between node 6 and 7.} ```

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Problem 6606

* An a-particle moving at a speed of $1.0 \times 10^{6} \mathrm{~ms}^{-1}$ collides with a stationary proton. After willitin The proton travels with a speed of $1.88 \times 10^{6} \mathrm{ir}$ in the divectuon in which the $G$ -particle. war travelling. Calculate the boed of the $x$ -partels offer collim. [Marie of $\alpha$ -partido $=6.64 \times 10^{-23} 9$ Nas of prite $=166 \times 10^{-64} \mathrm{~kg}$

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Problem 6607

Aufgabe 1 Wandern a) Lukas unternimmt eine Wanderung.
Zu Beginn wandert er für 1 h 15 min mit einer konstanten Geschwindigkeit von $4 \mathrm{~km} / \mathrm{h}$ . Dann wandert er mit einer konstanten Geschwindigkeit von $2 \mathrm{~km} / \mathrm{h}$ weiter. Er benötigt für die gesamte Wanderung 3 h 45 min . 1) Berechnen Sie die mittlere Geschwindigkeit für die gesamte Wanderung. $[0 / 1$ P. $]$ b) Lena unternimmt eine Wanderung.
Der von ihr zurückgelegte Weg kann dabei in Abhängigkeit von der Zeit näherungsweise durch die Funktion s beschrieben werden. $s(t)=0,32 \cdot t^{3}-2,32 \cdot t^{2}+7,08 \cdot t \text { mit } 0 \leq t \leq 4,5$ $t$ ... Zeit seit Beginn der Wanderung in h $s(t)$ ... zurückgelegter Weg zur Zeit $t$ in km
In der nebenstehenden Abbildung ist der Graph der Funktion s dargestellt. 1) Bestimmen Sie die Durchschnittsgeschwindigkeit von Lena in den ersten 2 Stunden ihrer Wanderung. $[0 / 1 \mathrm{P}$ . 2) Ermitteln Sie, nach welcher Zeit Lena mit der geringsten Geschwindigkeit wandert. [0 / 1 P.

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Problem 6608

16. In western Canada, helicopter "bombing" tal is used for avalanche control. In high-risk areas, explosives are dropped onto the mountainside to safely start an avalanche. The function $h(x)=-\frac{5}{1600} x^{2}+200$ represents the height, $h$ , in metres, of the explosive once it has been thrown from the helicopter, where $x$ is the horizontal distance, in metres, from the base of the mountain. The mountainside is modelled by the function $h(x)=1.19 x$ . a) How can the following system of equations be used for this scenario? $\begin{array}{l} h=-\frac{5}{1600} x^{2}+200 \\ h=1.19 x \end{array}$ b) At what height up the mountain does the explosive charge land?

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Problem 6609

6. Aşağıdaki sorulardan kaçı aynı yanıta sahiptir? I. $y=\cos (2 t), x=\sin t \Rightarrow \frac{d y}{d x}=$ ? II. $f(t)=\cos t, \lim _{h \rightarrow \infty} h\left[f\left(t+\frac{4}{h}\right)-f(t)\right]=$ ? III. $y=4 \sin t, x=t^{2} \Rightarrow \frac{d^{2} y}{d x^{2}}=$ ? IV. $f(x)=\cos x$ ve $t \in \mathbb{R}^{+}$ . $\lim _{x \rightarrow t} 2\left[\frac{f(x)-f(t)}{\sqrt{x t}-t}\right]=?$ V. $y=\cos ^{2} t$ eğrisine $(t, y)=\left(-\frac{\pi}{4}, \frac{1}{2}\right)$ noktasında teğet olan doğrunun denklemi $y=b t-\frac{\pi}{a}+\frac{1}{2}$ ise $a \sin (b t)=$ ? (a) 2 (b) 3 (c) 4 (d) 5 (e) Hiç

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Problem 6610

Use the first derivative test and the second derivative test to determine where each function is increasing, decreasing, concave up, and concave down. $y=\sqrt{2 x+8}, x \geq-4$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The function is increasing on $\square$ (Type your answer in interval ntation. Use integers or fractions for any numbers in the expression. Simplify your answer.) B. The function is not increasing on any interval.

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Problem 6611

Part 1 of 5
The height of a ball thrown in the air can be modeled by the function $h(x)=-16 x^{2}+32 x+6$ , where $h(x)$ represents the height in feet of the ball after $x$ seconds. The graph of this function is shown to the right. a. What do the vertex, $y$ -intercept, and $x$ -intercept represent? b. If the ball is thrown from a height of 10 ft , how will this transform the graph? c. About how much longer will the ball be in the air when it is thrown from 10 ft compared to when it is thrown from 6 ft ? (Hint: You may want to use a graphing calculator to compare the two graphs.)

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Problem 6612

A radio tower is located 275 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is $37^{\circ}$ and that the angle of depression to the bottom of the tower is $20^{\circ}$ . How tall is the tower? $\square$ feet
Give your answer rounded to the nearest foot.

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Problem 6613

Question 5, 11.1.13-SC HW Score: 5 Points:
Construct a confidence interval for $p_{1}-p_{2}$ at the given level of confidence. $x_{1}=388, n_{1}=504, x_{2}=449, n_{2}=586,99 \% \text { confidence }$
The confidence interval is ( $\square$ , $\square$ ). (Round to three decimal places as needed.)

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Problem 6614

Gaseous ethane $\left(\mathrm{CH}_{3} \mathrm{CH}_{3}\right)$ will react with gaseous oxygen $\left(\mathrm{O}_{2}\right)$ to produce gaseous carbon dioxide $\left(\mathrm{CO}_{2}\right)$ and gaseous water $\left(\mathrm{H}_{2} \mathrm{O}\right)$ . Suppose 21. g of ethane is mixed with 124. g of oxygen. Calculate the minimum mass of ethane that could be left over by the chemical reaction. Be sure your answer has the correct number of significant digits. $\square$ g

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Problem 6615

Prehistoric cave paintings were discovered in a cave in France. The paint contained 19% of the original carbon-14. Use the exponential decay model for carbon-14, A-A000012 to estimate the age of the paintings The paintings are approximately years old. (Round to the nearest integer.)

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Problem 6616

Suppose $\$ 14,000$ is invested with $3.5 \%$ interest for 9 years compounded quarterly. What is the resulting value? \$19,157.36 19,182.75 \$20,005.98 \$21,233.65

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Problem 6617

QUESTION ${ }^{\circ}$ ANSWER
In the process of nuclear or radioactive decay, an unstable nucleus spontaneously emits a particle. When this occurs, the nucleus of one element can change into the nucleus of a different element. The resulting change of one element to another is called transmutation. The nuclear decay can be represented by a nuclear equation using atomic symbols for the nuclei and the emitted particles.
Radioactive decay: radioactive nucleus $\rightarrow$ new nucleus + emitted particle
In a nuclear equation, the sum of the mass numbers and the sum of the atomic numbers on one side of the equation must equal the sum of the mass numbers and the sum of the atomic numbers, respectively, on the other side of the equation. ${ }_{19}^{85} \mathrm{~K} \rightarrow-{ }_{-1}^{0} e+{ }_{20}^{38} \mathrm{Ca}$ ${ }_{10}^{3} \mathrm{~K} \rightarrow{ }_{1}^{0} e+{ }_{B}^{3} \mathrm{Ar}$ ${ }_{18}^{3} \mathrm{~K} \rightarrow{ }_{\{ }^{4} \mathrm{He}+{ }_{17}^{4} \mathrm{Cl}$ ${ }_{19}^{38} \mathrm{~K}+{ }_{1}^{0} e \rightarrow{ }_{21}^{38} \mathrm{Ca}$ IDON'T KNOWYET
Identify the balanced nuclear equation for the positron emission of ${ }^{38} \mathbf{K}$ .

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Problem 6618

QUESTION
Give the complete symbol, with superscript and subscript, for an alpha particle. ANSWER
${ }_{1}^{0} \mathrm{e}$
${ }_{2}^{4} \mathrm{He}$ ${ }_{-1}^{0} e$ IDON'T KNOWYET

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Problem 6619

ple 12 study the local extreme points of $f(x, y, z)=x y z$ on the surface of the unit sphere $x^{2}+y^{2}+z^{2}=1$ using the second-derivative test
Iution Setting the partial derivatives of the auxiliary function $h(x, y, z, \lambda)=x y z-\lambda\left(x^{2}+\right.$ $\left.y^{2}+z^{2}-1\right)$ equal to zero gives $\begin{aligned} y z & =2 \lambda x \\ x z & =2 \lambda y \\ x y & =2 \lambda z \\ x^{2}+y^{2}+z^{2} & =1 . \end{aligned}$
Thus, $3 x y z=2 \lambda\left(x^{2}+y^{2}+z^{2}\right)=2 \lambda$ . If $\lambda=0$ , the solutions are $(x, y, z, \lambda)=$ $( \pm 1,0,0,0),(0, \pm 1,0,0)$ , and $(0,0, \pm 1,0)$ . If $\lambda \neq 0$ , then we have $2 \lambda=3 x y z=6 \lambda z^{2}$ , and so $z^{2}=\frac{1}{3}$ . Similarly, $x^{2}=y^{2}=\frac{1}{3}$ . Thus, the solutions are given by $\lambda=\frac{3}{2} x y z=$ $\pm \sqrt{3} / 6$ . The critical points of $h$ and the corresponding values of $f$ are given in Table 3.1. From it, we see that points E, F, G, and K are minima. Points D, H, I, and J are maxima. To see whether this is in accord with the second-derivative test, we need to consider two determinants. First, we look at the following:

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Problem 6620

Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6178 patients treated with this drug, 155 developed the adverse reaction of nausea. Use a 0.01 significance level to test the claim that $3 \%$ of users develop nausea. Does nausea appear to be a problematic adverse reaction?
Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. $\mathrm{H}_{0}: p=0.03$ $H_{1}: p \neq 0.03$ B. $H_{0}: p=0.03$ $H_{1}: p<0.03$ C. $H_{0}: p=0.03$ $H_{1}: p>0.03$ D. $H_{0}: p \neq 0.03$ $H_{1}: p=0.03$ Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is $\square$ . (Round to two decimal places as needed.)

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Problem 6621

Evaluate the following. Click on "Not a real number" if applicable. (a) $\sqrt{(-3)^{4}}=$ $\square$ Not a real number (b) $\sqrt{(-10)^{2}}=$ $\square$

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Problem 6622

Heart Rates For a certain group of individuals, the average heart rate is 71 beats per minute. Assume the variable is normally distributed and the standard deviation is 3 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use
The Standard Normal Distribution Table. Round the final answers to at least four decimal places and intermediate $z$ -value calculations to two decimal places.
Part: $0 / 3$
Part 1 of 3 (a) Between 67 and 73 beats per minute $P(67<X<73)=$ $\square$

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Problem 6623

Question 7 $0 / 1$ pt 5 99 Details
You intend to conduct a test of independence for a contingency table with 6 categories in the column variable and 6 categories in the row variable. You collect data from 654 subjects.
What are the degrees of freedom for the $\chi^{2}$ distribution for this test? d.f. = $\square$ Question Help: Written Example
Post to forum Submit Question

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Problem 6624

Sheila is ordering stickers for the front of her. interactive notebook. Sheila's math teacher is only allowing students to decorate in the green area of their interactive notebook. Sheila doesn't want to buy more stickers than she needs. The area for the space that must stay bare is represented by 9 stickers only allow book She $\left(2 x^{2}-x+3\right)$ . The entire area of the front of her notebook is represented by Por thes pe entire a farts the $\left(x^{2}+5 x-4\right)$ .What is the area of allowed space for decorations? Answer Area for stickers a

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Problem 6625

Suppose you are 5 feet 3 inches tall. Give your height in meters and centimeters. Round to the nearest centimeter.
For example, 9 feet 2 inches $=2.794$ meters $\approx 2$ meters and 79 centimeters. Use the buttons below to find the necessary unit conversion.
Length Conversions \begin{tabular}{|c|c|} \hline US & Netric \\ \hline 1 in & 2.54 cm \\ \hline 3.28 ft & 1 m \\ \hline 1 mi & 1.61 km \\ \hline \end{tabular}
Area Conversions \begin{tabular}{|c|c|} \hline US & Metric \\ \hline $1 \mathrm{in}^{2}$ & $6.45 \mathrm{~cm}^{2}$ \\ \hline $1.196 \mathrm{yd}^{2}$ & $1 \mathrm{~m}^{2}$ \\ \hline 2.47 acres & 1 ha \\ \hline \end{tabular}
Volume Conversions \begin{tabular}{|c|c|} \hline US & Metric \\ \hline $1 \mathrm{in}^{3}$ & 16.39 mL \\ \hline 1.06 qt & 1 L \\ \hline 1 gal & 3.79 L \\ \hline \end{tabular}
Weight Conversions \begin{tabular}{|c|c|} \hline US & Metric \\ \hline 1 oz & 28.3 g \\ \hline 2.20 lb & 1 kg \\ \hline \end{tabular}
You height is $\square$ meter(s) and $\square$ centimeter(s).

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Problem 6626

Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 489 were in favor, 398 were opposed, and 122 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 122 subjects who said that they were unsure, and use a 0.10 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5 . What does the result suggest about the politician's claim? A. $\mathrm{H}_{0}: p=0.5$ $H_{1}: p<0.5$ B. $H_{0}: p=0.5$ $H_{1}: p \neq 0.5$ C. $\begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p>0.5 \end{array}$ D. $\begin{array}{l} H_{0}: p \neq 0.5 \\ H_{1}: p=0.5 \end{array}$
Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 3.04 . (Round to two decimal places as needed.) Identify the P -value for this hypothesis test. The P-value for this hypothesis test is $\square$ (Round to three decimal places as needed.)

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Problem 6627

Find the F-test statistic to test the claim that the variances of the two populations are equal. Both distributions are normal. The populations are independent. The standard deviation of the first sample is 11.4423 11.3598 is the standard deviation of the second sample. $\square$ Question Help: Written Example 0 Post to forum Submit Question

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Problem 6628

Air Temperature: If the temperature outside is $30^{\circ}$ ', is it a better day for water skiing or for snow skiing? Water skiing Snow skiing

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Problem 6629

A high jumper jumps 6 ft 5 in . How many meters is this? Round your answer to 2 decimal places. Use the buttons below to find the necessary unit conversion.
Length Conversions \begin{tabular}{|c|c|} \hline US & Metric \\ \hline 1 in & 2.54 cm \\ \hline 3.28 ft & 1 m \\ \hline 1 mi & 1.61 km \\ \hline \end{tabular}
Area Conversions \begin{tabular}{|c|c|} \hline US & Metric \\ \hline $1 \mathrm{in}^{2}$ & $6.45 \mathrm{~cm}^{2}$ \\ \hline $1.196 \mathrm{yd}^{2}$ & $1 \mathrm{~m}^{2}$ \\ \hline 2.47 acres & 1 ha \\ \hline \end{tabular}
Volume Conversions \begin{tabular}{|c|c|} \hline US & Metric \\ \hline $1 \mathrm{in}^{3}$ & 16.39 mL \\ \hline 1.06 qt & 1 L \\ \hline 1 gal & 3.79 L \\ \hline \end{tabular}
Weight Conversions \begin{tabular}{|c|c|} \hline US & Metric \\ \hline 1 oz & 28.3 g \\ \hline 2.20 lb & 1 kg \\ \hline \end{tabular}
The high jumper can jump $\square$ meters high.

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Problem 6630

The triangle below has a height of $4 x^{2}+2 x$ shorter than its base. What is the area of this triangle? A. $20 x^{3}-11 x^{2}-72 x+36$ B. $10 x^{3}-5.5 x^{2}-36 x+18$ C. $20 x^{3}+31 x^{2}+36$ D. $10 x^{3}+18$

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Problem 6631

3. A block is released from rest at the top of a rough ramp. There is significant friction between the block and the ramp, but the block's speed increases as the block slides down the ramp. Which of the following correctly indicates whether the total mechanical energy of the block-Earth system decreases or remains the same, and provides a valid justification? (A) Decreases, because a force external to the system is dissipating energy (B) Decreases, because the gravitational potential energy of the system decreases (C) Stays the same because energy is always conserved (D) Stays the same because gravitational potential energy is converted into kinetic energy

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Problem 6632

Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 489 were in favor, 398 were opposed, and 122 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 122 subjects who said that they were unsure, and use a 0.10 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5 . What does the result suggest about the politician's claim?
The test statistic for this hypothesis test is 3.04 (Round to two decimal places as needed.) Identify the P -value for this hypothesis test. The P-value for this hypothesis test is 0.002 . (Round to three decimal places as needed.) Identify the conclusion for this hyporitesis test. A. Fail to reject $\mathrm{H}_{0}$ . There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. B. Fail to reject $\mathrm{H}_{0}$ . There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. C. Reject $\mathrm{H}_{0}$ . There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. D. Reject $\mathrm{H}_{0}$ . There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.

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Problem 6633

.4-4.6)
Graph the function $y=\frac{x^{2}-63}{x-8}$ by identifying the domain and any where the curve is increasing and where it is decreasing, finding as intercepts, critical points, and inflection points. Then find coord

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Problem 6634

Make the following conversions. Round your answers to 2 decimal places, if necessary.
6 feet 6 inches to a. Inches: $\square$ in. b. Feet: $\square$ ft Question Help: 用 eBook
Post to forum

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Problem 6635

Assume for a competitive firm that $M C=A V C$ at $\$ 12, M C=A T C$ at $\$ 20$ , and $M C=M R$ at $\$ 11$ . This firm will A) maximize its profit by producing in the short run.
B shut down in the short run. (C) minimize its losses by producing in the short run. (D) realize a profit of $\$ 4$ per unit of output.

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Problem 6636

Netflix ENG evalua Evaluation p atlas-query Dashboard ALEKS - Mo Untitled for (370 -- www-awu.aleks.com/alekscgi/X/Isl.exe/10_u-IgNslkr7j8P3jH-lis1WHQv7rHh0j2icTeSIC4QOKrKwOC-WYA3XiX_GKyS_7HdaDkbChlvJtY-wEXTV6q...
Exponential and Logarithmic Functions $0 / 3$ Finding the initial amount in a word problem on continuous compound..."
Susan wants to buy a bond that will mature to $\$ 6500$ in eight years. How much should she pay for the bond now if it earns interest at a rate of $3.5 \%$ per year, compounded continuously? Do not round any intermediate computations, and round your answer to the nearest cent. $\$ \square$

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Problem 6637

Suppose that in a random selection of 100 colored candies, $26 \%$ of them are blue. The candy company claims that the percentage of blue candies is equal to $27 \%$ . Use a 0.05 significance level to test that claim.
Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. $\mathrm{H}_{0}: \mathrm{p}=0.27$ $H_{1}: p<0.27$ B. $H_{0}: p \neq 0.27$ $H_{1}: p=0.27$ C. $H_{0}: p=0.27$ $H_{1}: p \neq 0.27$ D. $\begin{array}{l} H_{0}: p=0.27 \\ H_{1}: p>0.27 \end{array}$
Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is $\square$ $\square$ . (Round to two decimal places as needed.)

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Problem 6638

Suppose 234 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.01 significance level to test the claim that more than $20 \%$ of users develop nausea.
Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. $H_{0}: p=0.20$ $H_{1}: p>0.20$ B. $H_{0}: p>0.20$ $H_{1}: p=0.20$ c. $H_{0}: P=0.20$ $\mathrm{H}_{1}: \mathrm{p}<0.20$ D. $H_{0}: p=0.20$ $H_{1}: p \neq 0.20$
Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is $\square$ $\square$ . (Round to two decimal places as needed.).

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Problem 6639

stion list uestion 5 uestion 6
Which of the following is a true statement? A. A probability can never be 0. B. A probability is never less than 1 . C. A probability is never greater than 0 . D. A probability can never be negative.

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Problem 6640

What is the equation of the line that passes through the point $(-6,-8)$ and has a slope of $\frac{1}{2}$ ?
Answer Attempt 1 out of 2

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Problem 6641

Exponential and Logarithmic Functions Finding the initial amount in a word problem on continuous compound...
Mr. and Mrs. Scott hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of $8.5 \%$ per year, compounded continuously, in order to be able to contribute $\$ 9000$ to her education?
Do not round any intermediate computations, and round your answer to the nearest cent. \\square$

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Problem 6642

webassign.net/web/Student/Assignment-Responses/submit?dep=34868574\&tags=autosave\#Q3 B Relaunch to update
3. [-/3.57 Points]
DETAILS MY NOTES TANAPMATH7 3.3.005. PRACTICE ANOTHER population (in billions) as a function of time $t$ (in years), with $t=0$ corresponding to the beginning of 1990. (Round your answers to two decimal places.) (a) If the world population continues to grow at approximately $2 \% / y e a r$ , find the length of time $t_{4}$ (in yr) required for the population to quadruple in size. $t_{4}=$ $\square$ yr (b) Using the time $t_{4}$ found in part (a), what would be the world population (in billions of people) if the growth rate were reduced to $1.7 \% / y r$ ? $\square$ billion people Need Help? Read it Watch it

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Problem 6643

Graph the line that passes through the points $(-7,-9)$ and $(-7,-1)$ and determine the equation of the line.

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Problem 6644

How many groups of 20 are in 80 ? Record that in the quotient, multiply, and subtract. Multiply on paper if you need to. (4)

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Problem 6645

Compare $\sqrt{42}$ and $\sqrt{58}$ plotted on the number line. What is the approximate difference in tenths between the two values? $\sqrt{58}$ is about $\square$ greater than $\sqrt{42}$ .

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Problem 6646

a) Find the prime factor decomposition of 225 . Give your answer in index form.
The lowest common multiple (LCM) of two numbers is 225 . The highest common factor (HCF) of the two numbers is 15 . Neither of the numbers are 15 . b) Use your answer to part a) to work out the values of the two numbers.

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Problem 6647

HA is a weak acid. A buffer containing 0.25 M HA and 0.50 MA - has a pH of 6.12. What is the Ka of the acid? $1.52 \times 10^{-6}$ 5.82 $7.59 \times 10^{-7}$ 6.12 $3.79 \times 10^{-7}$ $7.59 \times 10^{-5}$ none of the above

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Problem 6648

Choose the correct contrapositive. A. Mexico is not an island or Australia is not an island. B. If Australia is not an island, then Mexico is an island. C. If Australia is an island, then Mexico is not an island. D. If Mexico is not an island, then Australia is an island

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Problem 6649

Write the converse, inverse, and contrapositive of the statement below. If the band does not play rock music, then the band does not have a guitarist.
Choose the correct converse. A. The band plays rock music or the band does not have a guitarist. B. If the band plays rock music, then the band has a guitarist. C. If the band has a guitarist, then the band plays rock music. D. If the band does not have a guitarist, then the band does not play rock music.

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Problem 6650

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?
You can afford to download Select an answerv $\square$ games.

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Problem 6651

In which of the following aqueous solutions would you expect AgBr to have the highest solubility? A) 0.15 M KBr B) 0.10 M LiBr C) pure water D) $0.10 \mathrm{M} \mathrm{AgNO}_{3}$ E) 0.20 M NaBr

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Problem 6652

An olive farmer has 8,155 olives to put into jars. It takes 35 olives to fill each jar. How many jars will the farmer be able to fill with olives? $\square$ jars Submit

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Problem 6653

\text{Calculate the heat (in kJ) associated with the cooling of } 392 \, \text{g of mercury from } 74.5^{\circ} \text{C to } 12.0^{\circ} \text{C}. \text{ Be sure your answer has the correct number of significant digits.} \\ \text{Note: Reference the Phase change properties of pure substances table for additional information.} \\ \text{Specific heat capacity of mercury: } 0.139 \, \text{J/gK} \\ \Box \, \text{kJ} \, \Box \times 10 \\

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Problem 6654

A photographer wants to arrange all of his photographs into albums. Each album can hold 77 photographs. If the photographer has 9,354 photographs in all, how many photographs will be in the partially filled album? $\square$ photographs Submit

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Problem 6655

Question Enter the equation of the function $\sin (x)$ that has a vertical shift 4 units down and a phase shift of $\frac{\pi}{3}$ units left.
Provide your answer below:

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Problem 6656

16. 0.5625
17. 0.90625
Convert the following fractions to decimals. Use a line over the repeating sequence.
20. $\frac{11}{9}$
21. $-\frac{4}{9}$
22. $\frac{7}{11}$
23. $\frac{7}{12}$
24. $\frac{8}{15}$

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Problem 6657

Given a set $\mathrm{A}=\{m, p, I, 6, H, G, 5, n\}$ , answer the follc a. Find the number of subsets of $A$ $\square$ b. Find the number of proper subsets of $A$ $\square$

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Problem 6658

According to the New York State Board of Law Examiners, approximately $63 \%$ of people taking the New York Bar Exam passed the exam.
1. If 20 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least $76 \%$ have passed? Round your answer to 4 decimal places. $\square$
2. If 44 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least $76 \%$ have passed? Round your answer to 4 decimal places. $\square$
3. Why did the probability decrease? The probability decreased since the sample size decreased resulting in a wider distribution which increased the area of the right tail. The probability decreased since the sample size increased resulting in a narrower distribution which reduced the area of the right tail.

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Problem 6659

${ }_{4}{ }^{c^{b}}{ }^{\text {ba }}$ diver descends from the surface of the ocean at a constant $\mathrm{ra}^{2} \mathrm{te}^{2} 5 \mathrm{feet}$ per minute to a maximum depth of 130 feet. The diver's depth in feet $y$ is a function of the number of the diver began descending. What do you know about the function?

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Problem 6660

2. For each quotient, fill in the boxes to write three division statements that are true. (Knowledge and Understanding) a) $\square$ $\square$ $=+5$ $\square$ $\square$ $=+5$ $\square$ $\square$ $=+5$ b) $\begin{array}{l} \square \div \square=-3 \\ \square \div \square=-3 \\ \square \div \square=-3 \end{array}$ Matholonu 8 Onerations The rinht to renradure or madifu thic nane is rectricted to nurel

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Problem 6661

Assume that the differences for the given data are normally distributed. Complete parts (a) through (d). Click here to view the sample data. Click here to view the table of critical t-values. A. $H_{0}: \mu_{d}=0$ $H_{1}: \mu_{d}<0$
Sample Data C. $H_{0}: \mu_{d}>0$ $H_{1}: \mu_{d}<0$
Determine the test statistic. \begin{tabular}{|llccccccc|} \hline & Observation & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline $\boldsymbol{X}_{\mathbf{i}}$ & 7.7 & 7.6 & 7.4 & 5.7 & 8.3 & 6.6 & 5.7 \\ \hline $Y_{i}$ & 8.2 & 6.5 & 10.7 & 9.5 & 7.8 & 8.9 & 8.6 \\ \hline \end{tabular}
The test statistic is -2.17 . (Round to two decimal places as needed.) Determine the critical value(s). Print Done
The critical value(s) is/are -1.94 . (Round to two decimal places as needed. Use a comma to separate Determine the proper conclusion. Reject $\square$ the null hypothesis. There is $\square$ sufficient evidence that $\mu_{\mathrm{d}}$ $\square$ 0 at the $\alpha=0.05$ level of significance. (d) Construct a 95\% confidence interval about the population mean difference $\mu_{\mathrm{d}}$ .
The lower bound is $\square$ The upper bound is $\square$ (Round to two decimal places as needed.)

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Problem 6662

What is the domain of the function $f(x)=\sqrt{x^{2}-81}$ ?
The domain is $\square$ (Type your answer in interval notation.)

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Problem 6663

It is believed that $11 \%$ of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 310 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random yariable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem. a) The symbol for the random variable involved in this problem is ?
The wording for the random variable in context is as follows: Select an answer b) The symbol for the parameter involved in this problem is $\square$ ? 0
The wording for the parameter in context is as follows: Select an answer c) Fill in the correct null and alternative hypotheses: $\begin{array}{l} H_{0} \text { : ? 주웅 } \\ H_{A}: \text { ? ? } \end{array}$ d) A Type I error in the context of this problem would be: $\checkmark$ Select an answer Rejecting that the \% of all students from that college that are left-handed is $11 \%$ when the $\%$ is really $11 \%$ . Rejecting that the \% of all students from that college that are left-handed is $11 \%$ when the $\%$ is really lower than that. Rejecting that the $\%$ of all students from that college that are left-handed is $11 \%$ when the $\%$ is really higher than that. Rejecting that the $\%$ of all students from that college that are left-handed is $11 \%$ when the $\%$ is really different from that. Rejecting that the \% of all students from that college that are left-handed is lower than $11 \%$ when the \% is really $11 \%$ . Rejecting that the $\%$ of all students from that college that are left-handed is higher than $11 \%$ when the \% is really $11 \%$ . Rejecting that the \% of all students from that college that are left-handed is different from $11 \%$ when the \% is really $11 \%$ . Failing to reject that the $\%$ of all students from that college that are left-handed is $11 \%$ when the $\%$ is really $11 \%$ . Failing to reject that the $\%$ of all students from that college that are left-handed is $11 \%$ when the $\%$ is really lower than that. Failing to reject that the $\%$ of all students from that college that are left-handed is $11 \%$ when the $\%$ is really higher than that.

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Problem 6664

Cool Down Lin's job pays $\$ 8.25$ an hour plus $\$ 10$ of transportation allowance each week. She has to work at least 5 hou week to keep the job, and can earn up to $\$ 175$ per week (including the allowance).
1. Represent this situation mathematically. If you use variables, specify what each one means.
2. How many hours per week can Lin work? Explain or show your reasoning.

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Problem 6665

According to the Federal Trade Commission report on consumer fraud and identity theft, $23 \%$ of all complaints in 2007 were for identity theft. This year, a certain state kept track of how many of its 1300 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a higher proportion of identity theft than $23 \%$ ? State the random variable, population parameter, and hypotheses. a) The symbol for the random variable involved in this problem is ? $\square$ The wording for the random variable in context is as follows: Select an answer b) The symbol for the parameter involved in this problem is ? 0
The wording for the parameter in context is as follows: Select an answer c) Fill in the correct null and alternative hypotheses: $H_{0}$ : $\square$ ? $\square$ $H_{A}$ : ? $\square$ ? $\square$

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Problem 6666

A recent broadcast of a television show had a 10 share, meaning that among 6000 monitored households with TV sets in use, 10\% of them were tuned to this program. Use a 0.01 significance level to test the claim of an advertiser that among the households with TV sets in use, less than 20\% were tuned into the program. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P -value method. Use the normal distribution as an approximation of the binomial distribution.
Identify the null and alternative hypotheses. Choose the correct answer below. A. $H_{0}: p=0.80$ B. $H_{0}: p=0.80$ $H_{1}: p<0.80$ $H_{1}: p>0.80$ C. $H_{0}: p=0.20$ D. $H_{0}: p=0.20$ $H_{1}: p \neq 0.20$ $H_{1}: p<0.20$ E. $H_{0}: p=0.80$ F. $H_{0}: p=0.20$ $H_{1}: p \neq 0.80$ $H_{1}: p>0.20$
The test statistic is $\mathrm{z}=$ $\square$ . (Round to two decimal places as needed.) Clear all Check answer Help me solve this Get more help -

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Problem 6667

Complete the sentence below. The graph of a quadratic function is called a(n) $\qquad$ .
The graph of a quadratic function is called $a(n)$ $\square$ (m. line. vertex. square. parabola.

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Problem 6668

27. $y=6$
28. $x=-3$
29. $y=-2$
30. $x=7$
Write each equation in standard form using integers.
31. $y=2 x+5$
32. $y+3=4(x-1)$ See Problem 4.
34. $y=\frac{1}{4} x-2$
35. $y=-\frac{2}{3} x-1$
33. $y-4=-2(x-3)$
36. $y+2=\frac{2}{3}(x+4)$
37. Video Games In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. Write and graph an equation that represents - See Problem 5. the numbers of jewels and stars you must find to earn 250 points. What are three combinations of jewels and stars you can find that will earn you 250 points?
38. Clothing A store sells T-shirts for $\$ 12$ each and sweatshirts for $\$ 15$ each. You

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Problem 6669

A share price was 300 pence at the start of the year and it is 285 pence today.
Calculate the percentage decrease.
Type your answer here

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Problem 6670

Find two numbers $a$ and $b$ whose sum $a+b$ is -4 and whose difference $a-b$ is -2 . Your answer is $a=$ $b=$ $\square$ $\square$

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Problem 6671

9. Convert each measure using the indicated units. a) 320 km miles b) 56 gal litres c) 120 mL tablespoons d) 16 lb grams

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Problem 6672

Does the average Presbyterian donate more than the average Catholic in church on Sundays? The 58 randomly observed members of the Presbyterian church donated an average of $\$ 27$ with a standard deviation of \ $13. The 55 randomly observed members of the Catholic church donated an average of \$26 with a standard deviation of$ \ $7$ . What can be concluded at the $\alpha=0.10$ level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: $H_{0}$ : Select an answer Select an answer Select an answer (2) (please enter a decimal) $H_{1}$ : Select an answer Select an answer Select an answer (Please enter a decimal) c. The test statistic ? : = $\square$ (please show your answer to 3 decimal places.) d. The $p$ -value $=$ $\square$ (Please show your answer to 4 decimal places.) e. The $p$ -value is ? $\alpha$ f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically significant at $\alpha=0.10$ , so there is sufficient evidence to conclude that the mean donation for the 58 Presbyterians that were observed is more than the mean donation for the 55 Catholics that were observed. The results are statistically significant at $\alpha=0.10$ , so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is more than the population mean amount of money that Catholics donate. The results are statistically insignificant at $\alpha=0.10$ , so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is more than the population mean amount of money that Catholics donate. The results are statistically insignificant at $\alpha=0.10$ , so there is statistically significant evidence to conclude that the population mean amount of money that Presbyterians donate is equal to the population mean amount of money that Catholics donate.

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Problem 6673

You are choosing between two different cell phone plans. The first plan charges a rate of 19 cents per minute. The second plan charges a monthly fee of $\$ 49.95$ plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the neare whole minute.

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Problem 6674

9. Two forest fire stations, $P$ and $Q$ , are 20.0 km apart. A ranger at station $Q$ sees a fire 15.0 km away. If the angle between the line $P Q$ and the line from $P$ to the fire is $25^{\circ}$ , how far, to the nearest tenth of a kilometre, is station $P$ from the fire?

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Problem 6675

For the polynomial function $f(x)=3(x-9)(x+6)^{2}$ answer the following questions. (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x -axis at each x -intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of $f$ resembles for large values of $|x|$ . (a) Find any real zeros of f . Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The real zero of $f$ is $\square$ with multiplicity $\square$ . (Type an exact answer, $u$ The smallest zero of $f$ is B. The smallest zero of $f$ is $\square$ with multiplicity $\square$ . The largest zero of $f$ is $\square$ with multiplicity $\square$ . (Type an exact answer, using radicals as needed. Type integers or fractions.) C. The smallest zero of $f$ is $\square$ with multiplicity $\square$ . The middle zero of $f$ is $\square$ with multiplicity $\square$ . The largest zero of $f$ is (Type an exact answer, using radicals as needed. Type integers or fractions.) $\square$ with multiplicity $\qquad$ . D. There are no real zeros. (b) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The graph crosses the $x$ -axis at $\square$ . B. The graph touches the $x$ -axis at
$\square$ . (Type an exact answer, using radic The graph touches the $x$ -axis at
$\square$ C. The graph touches the $x$ -axis at $\square$ and crosses at $\square$ . (Type an exact answer, using radicals as needed. Type integers or simplified fractions. Use a comma to separate answers as needed.) D. The graph neither crosses nor touches the $x$ -axis.

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Problem 6676

want you to use a calculator program to find a p-value when you already have the Test Statistic. If you have not already accessed it, you need to open the Technology Guide to find P-values (with Examples) Handout found in Content for detailed steps and examples. There is also a video that works through examples of these. You will use the Normalcdf program for this example because the test statistic you will be given is a $z$ test statistic. You get to the program using 2ND VARS. Follow the directions for a left tailed test for this problem provided on the handout. The bounds you need to enter in your calculator for a left tailed test are specified on the handout. Do not guess. Read and follow the directions. Use Technology to find the p -value for the claim H1: $\mathrm{p}<0.75$ , if the test statistic is known to be $z=-1.74$ . Will the test statistic, $z=-1.74$ , be the upper or lower bound for a left tail test? A. Upper bound, since we want the area to the left of this value for a left tail. B. Lower bound, since we want the area to the right of this value for a left tail.
What is the $p$ -value? $\square$ Round your answer to 4 decimal places.
Ask my instructor Clear all Check answer 6:11 PM 11/24/2024

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Problem 6677

Determine the quadratic function whose graph is given below.
The quadratic function which describes the given graph is $f(x)=$ $\square$ $\square$ . (Type an expression.)

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Problem 6678

Journalize period payroll The payroll register of Heritage Co. indicates $\$ 4,800$ of social security withheld and $\$ 1,200$ of Medicare tax withheld on total salaries of $\$ 80,000$ for the period. Federal withholding for the period totaled $\$ 17,540$ . Retirement savings withheld from employee paychecks were $\$ 3,200$ for the period.
Journalize the entry to record the period's payroll. If an amount box does not require an entry, leave it blank. $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 6679

Question 7 5 pts
Solve. 7) Timothy has $41 / 5$ yards of fabric. It takes $3 / 5$ of a yard to make a tie. How many ties can he make from the fabric? 7 ties 6 ties 10 ties 8 ties

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Problem 6680

webassign.net/web/Student/Assignment-Rosponses/submit?dep=348685768tags=autosave\#question5304511_0 Relsunch to update ： PRACTICE ANOTHER
4. [-/3.57 Points] DETAILS MY NOTES
TANAPMATH7 4.3.025. The Taylors have purchased a $\$ 340,000$ house. They made an initial down payment of $\$ 30,000$ and secured a mortgage with interest charged at the rate of $6 \% /$ year on the unpaid balance. Interest computations are made at the end of each month. If the loan is to be amortized over 30 years, what monthly payment will the Taylors be required to make? (Round your answer to the nearest cent.) \\square $What is their equity (disregarding appreciation) after 5 years? After 10 years? After 20 years? (Round your answers to the nearest cent.) 5 years \$$ \square $10 years \$$ \square $20 years \$$ \square$ Need Help? Readit Watch II

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Problem 6681

Question 20 A pseudocode to estimate the solution of $h(x)=x^{2}-3$ using Newton's method is shown below. $\begin{array}{l} \text { define } h(x) \\ \text { return } x^{2}-3 \\ \text { define } h^{\prime}(x) \\ \text { return } 2 x \\ x \leftarrow 2 \\ \text { while } h(x)<-0.0001 \text { or } h(x)>0.0001 \\ \qquad x \leftarrow x-\frac{h(x)}{h^{\prime}(x)} \\ \text { print } x, h(x) \\ \text { end while } \end{array}$
The program will stop after how many iterations?

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Problem 6682

ing a Claim about a Question 20, Question HW Score: 27.58\%, 5.19 of 21 points Points: 0 of 1 Save
This is the second problem where we want you to use the tcdf calculator program to find a p-value when you already have the Test Statistic. If you have not already accessed it, you need to open the Technology Guide to find P-values (with Examples) Handout found in Content for detailed steps and examples. There is also a video that works through examples of these. Follow the directions for a right tailed test for this problem provided on the handout. The bounds you need to enter in your calculator for a right tailed test are specified on the handout. Do not guess. Read and follow the directions. Use Technology to find the p -value for the claim H1: $\mu>44.6$ , if the test statistic is known to be $\mathrm{t}=1.67$ and $\mathrm{n}=151$ . Will the test statistic, $\mathrm{t}=\mathbf{1 . 6 7}$ , be the upper or lower bound for a right tail test? A. Lower bound, since we want the area to the right of this value for a right tail. B. Upper bound, since we want the area to the left of this value for a right tail.
What is the p-value? $\square$ Round your answer to 4 decimal places. Clear all Check answer

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Problem 6683

Let the Universal set be the letters a through $j: U=\{a, b, \ldots, i, j\}$ . Let $A=\{c, d, i, j\}, B=\{c, d, e, h\}$ , and $C=\{a, d, h, j\}$ List the elements of the set $(A \cap B) \cup C$ $\square$

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Problem 6684

5. A wheel has a diameter of 80 cm and completes a revolution in 0.5 seconds at top speed.[4 marks] a) Determine the angular velocity, $\omega$ , in radians per second. $\omega=\frac{2 \pi}{5.5 s}=4 \pi r o \rho^{\circ}$ b) How far does the wheel travel in one minute?

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Problem 6685

Give a vector parametric equation for the line through the point $(4,5,5)$ that is parallel to the line $\langle-2,-4-4 t, 5+5 t\rangle$ : $L(t)=$ $\square$ Preview Mv Answers Submit Answere

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Problem 6686

Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why. $9,12,13,14,16,20$ $17,18,18,19,19,20$
Choose the correct answer below. A. The second set will have the greater standard deviation because the data have a greater spread about the mean. B. The standard deviations would be the same since the spread of data about each mean is the same. C. The first set will have the greater standard deviation because the data have a greater spread about the mean. D. The first set will have the greater standard deviation because the data have a smaller spread about the mean.

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Problem 6687

A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 245 cents, how many dimes and how many quarters does he have? Your answer is number of dimes equals $\square$ number of quarters equals $\square$ Question Help: Video Submit Question

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Problem 6688

Thirty-nine percent of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number who have very little confidence in newspapers is (a) exactly six and (b) exactly two. (a) The probability that the number who have very little confidence in newspapers is exactly six is $\square$ (Round to three decimal places as needed.)

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Problem 6689

Over 8-2 \& 8-3) Question 3 or 12 This questioni:
Suppose a principal claims that the mean test score at her school is greater than the national average. She performs a hypothesis test and finds the test statistic to be $t=1.77$ and she knows the critical value for this test to be $t=1.98$ . What can she conclude? A. There is not sufficient evidence to support her claim since the test statistic does not fall in the critical region. B. There is not sufficient evidence to support her claim since the test statistic falls in the critical region. C. There is sufficient evidence to support her claim since the test statistic falls in the critical region. D. There is sufficient evidence to support her claim since the test statistic does not fall in the critical region.

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Problem 6690

$49 \%$ of U.S. adults have very little confidence in newspapers. You randomly select $10 \mathrm{U} . \mathrm{S}$ . adults. Find the probability that the number of $\mathrm{U} . \mathrm{S}$ . adults who have very little confiden in newspapers is (a) exactly five, (b) at least six, and (c) less than four. (a) $P(5)=0.246$ (Round to three decimal places as needed.) (b) $P(x \geq 6)^{-}=$ $\square$ (Round to three decimal places as needed.)

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Problem 6691

this sinuatione
43. Error Gnatyeis Describe and corrsect the earor in finding the solurion of the equmation $2 x=$ Eix 4a. Staing A subier lis tryingto decide whether or mor to buy a conts s350. The sikier survild hane to ment sibis with either pass shing in o-der to rnake the seasom pass less expentine tham daily passes?
45. Health Clubs Orieheallo club charges a sisosign-up fee and sias per mouth Amofher club charges a s90 sige-up fee and sesper month For vathat mumber of moneftas is the cost of the cinbs eqpal?
45. Geometry The perimeters of the triangles shonumare equall Find the shide lenghas of each triangle
47. Business Asmall juice company spends $\$ 1200$ per dey on business expenses plus $\$ 110$ per boule of juice they make. They charge $\$ 2.50$ for each bortle of juice they produce. Hiow many bortles of juice wust the company sell in one cay im onder tho equal its daily costs?
48. Spreadsheet You set up a spreadsheet to solue $7(x+1)=3(x-1)$ . a. Does your spreadsheet shone the solution of the equation? b. Between withich two values of $x$ is the solution of the equation? How do you loson? C. For what spreadsheet values of $x$ is $7(x+1)$ less than $3(x-1)$ ? \begin{tabular}{|c|c|c|c|} \hline & $A$ & $B$ & $C$ \\ \hline 1 & $x$ & $7(x+1)$ & $3(x-1)$ \\ \hline 2 & -5 & -28 & -13 \\ \hline 3 & -3 & -14 & -12 \\ \hline 4 & -1 & 0 & -6 \\ \hline 5 & 1 & 14 & 0 \\ \hline 6 & 3 & 28 & 6 \\ \hline \end{tabular}

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Problem 6692

A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the ground had tilted so that measurements of 3 points on the ground gave coordinates of $(0,0,0),(1,1,0)$ , and $(0,2,3)$ . By what angle does the tower now deviate from the vertical? $\square$ radians.

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Problem 6693

Solve the system of equations by graphing: $\left\{\begin{array}{l}y-5 x=11 \\ -3 y=-15 x-33\end{array}\right.$ Enter the solution set in the boxes below. If the lines are parallel, enter DYE (for "does not exist") into each box. If the lines are coincident (infinite number of solutions), enter oo into each box. (Note: Use double letter o's, not zeros, for infinity.) $(x, y)=($ $\square$ $\square$

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Problem 6694

Question 3, 8.4.63 HW Score: 20\%, 2 of 10 points Part 1 of 6 Points: 0 of 1 Save mework
A study for the treatment of patients with HIV-1 was a randomized, controlled, double-blind study that compared the effectiveness of ritonavir-boosted darunavir (rb the drug currently used to treat HIV-1, with dorovirine, a newly developed drug. Of the 376 subjects taking ritonavir-boosted darunavir, 305 achieved a positive resu Of the 376 subjects taking dorovirine, 326 achieved a positive result. Complete parts (a) and (b). a. Find the sample percentage of subjects who achieved a positive outcome in each group.
The sample percentage of subjects who achieve a positive outcome with ritonavir-boosted darunavir is $\square$ $\%$ . The sample percentage of subjects who achieve a positive outcome with dorovirine is $\square$ \%. (Round to two decimal places as needed.)

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Problem 6695

T4.7 The sales force for a publishing company is constantly on the road trying to sell books. As a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. To prevent fraud, management hires an outside company to audit a sample of these expenses. For each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on. Which type of sampling method is the auditor using for each salesperson? a. Convenience sampling b. Simple random sampling c. Stratified random sampling d. Cluster sampling e. Systematic random sampling

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Problem 6696

\begin{align} \text{The new equipment will have a cost of } & \$9,000,000, \text{ and it is eligible for } 100\% \text{ bonus depreciation so it will be fully depreciated at } t=0. \\ \text{- The old machine was purchased before the new tax law, so it is being depreciated on a straight-line basis.} & \text{ It has a book value of } \$200,000 \text{ (at year 0) and four more years of depreciation left (} \$50,000 \text{ per year).} \\ \text{- The new equipment will have a salvage value of } & \$50,000 \text{ at the end of the project's life (year 6).} \\ \text{- The old machine has a current salvage value (at year 0) of } & \$300,000. \\ \text{- Replacing the old machine will require an investment in net operating working capital (NOWC) of } & \$20,000 \text{ that will be recovered at the end of the project's life (year 6).} \\ \text{- The new machine is more efficient, so the firm's incremental earnings before interest and taxes (EBIT) will increase by a total of } & \$600,000 \text{ in each of the next six years (years 1-6).} \\ \text{Hint: This value represents the difference between the revenues and operating costs including depreciation expense} & \text{ generated using the new equipment and that earned using the old equipment.} \\ \text{- The project's cost of capital is } & 13\%. \\ \text{- The company's annual tax rate is } & 25\%. \\ \end{align}

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Problem 6697

4 Homework Question 3, 8.4.63 Part 4 of 6 HW Score: 20\%, 2 of 10 points Points: 0 of 1 Save
A study for the treatment of patients with HIV-1 was a randomized, controlled, double-blind study that compared the effectiveness of ritonavir-boosted darunavir (rbd), the drug currently used to treat HIV-1, with dorovirine, a newly developed drug. Of the 376 subjects taking ritonavir-boosted darunavir, 305 achieved a positive result. Of the 376 subjects taking dorovirine, 326 achieved a positive result. Comp parts (a) and (b). D. $\begin{array}{l} H_{0}: p_{1}=p_{2} \\ H_{a}: p_{1}<p_{2} \end{array}$ E. $H_{0}: p_{1}=p_{2}$ $H_{a}: p_{1} \neq p_{2}$ F. $H_{0}: p_{1}>p_{2}$ $H_{a}: p_{1}=p_{2}$
Identify the test statistic. $z=-2.08^{\top}$ (Round to two decimal places as needed.) Identify the p-value. $p$ -value $=$ $\square$ (Round to three decimal places as needed.) example Get more help - Clear all Check an

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Problem 6698

2. Numerical, Graphical, and Analytic Analysis An open box of maximum volume is to be made from a square piece of material, 24 inches on a side. by cutting equal squares from the corners and turning up the sides (see figure). (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Use the table to guess the maximum volume. \begin{tabular}{|c|c|c|} \hline Height, $x$ & \begin{tabular}{c} Length and \\ Width \end{tabular} & Volume, $V$ \\ \hline 1 & $24-2(1)$ & $1[24-2(1)]^{2}=484$ \\ \hline 2 & $24-2(2)$ & $2[24-2(2)]^{2}=800$ \\ \hline \end{tabular} (b) Write the volume $V$ as a function of $x$ . (c) Use calculus to find the critical number of the function in part (b) and find the maximum value. (d) Use a graphing utility to graph the function in part (b) and verify the maximum volume from the graph.

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Problem 6699

all 2024 Nathalie Sanchez Question 3, 8.4.63 HW Score: $21 \%, 2.1$ of 10 points Homework Part 1 of 6 Points: 0.1 of 1 Save
A study for the treatment of patients with HIV-1 was a randomized, controlled, double-blind study that compared the effectiveness of ritonavir-boosted darunavir (rbd), the drug currently used to treat HIV-1, with dorovirine, a newly developed drug. Of the 389 subjects taking ritonavir-boosted darunavir, 309 achieved a positive result. Of the 389 subjects taking dorovirine, 319 achieved a positive result. Complete parts (a) and (b). a. Find the sample percentage of subjects who achieved a positive outcome in each group.
The sample percentage of subjects who achieve a positive outcome with ritonavir-boosted darunavir is $\%$ . The sample percentage of subjects who achieve a positive outcome with dorovirine is \%. (Round to two decimal places as needed.)

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Problem 6700

47. Business A small juice company spends $\$ 1200$ per day on business expenses plus $\$ 1.10$ per bottle of juice they make. They charge $\$ 2.50$ for each bottle of juice they produce. How many bottles of juice must the company sell in one day in order to equal its daily costs?
48. Spreadsheet You set up a spreadsheet to solve $7(x+1)=3(x-1)$ . a. Does your spreadsheet show the solution of the equation? b. Between which two values of $x$ is the solution of the equation? How do you know? c. For what spreadsheet values of $x$ is $7(x+1)$ less than $3(x-1)$ ? \begin{tabular}{|c|c|c|} \hline & $A$ & $B$ \\ \hline 1 & $x$ & $7(x+$ \\ \hline 2 & -5 & -28 \\ \hline 3 & -3 & -14 \\ \hline 4 & -1 & \\ \hline 5 & 1 & \\ \hline 6 & 3 & \\ \hline \end{tabular}

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1 ...64 65 66 67 68 69 70 ...122

Word Problem

Problem 6601

Problem 6602

Problem 6603

Problem 6604

4) A rectangle has a length of 2 yards and a width of 7 yards. Find the (a) perimeter and (b) area of the rectangle. P=2L+2ω18A=Lω14yd2\begin{array}{ll} P=2 L+2 \omega & 18 \\ A=L \omega & 14 y d^{2} \end{array}P=2L+2ωA=Lω​1814yd2​ □\square□

Problem 6605

Problem 6606

Problem 6607

Problem 6608

Problem 6609

Problem 6610

Problem 6611

Problem 6612

Problem 6613

Problem 6614

Problem 6615

Prehistoric cave paintings were discovered in a cave in France. The paint contained 19% of the original carbon-14. Use the exponential decay model for carbon-14, A-A000012 to estimate the age of the paintings The paintings are approximately years old. (Round to the nearest integer.)

Problem 6616

Suppose $14,000\$ 14,000$14,000 is invested with 3.5%3.5 \%3.5% interest for 9 years compounded quarterly. What is the resulting value? \$19,157.36 19,182.75 \$20,005.98 \$21,233.65

Problem 6617

Problem 6618

QUESTIONGive the complete symbol, with superscript and subscript, for an alpha particle. ANSWER10e{ }_{1}^{0} \mathrm{e}10​e24He{ }_{2}^{4} \mathrm{He}24​He −10e{ }_{-1}^{0} e−10​e IDON'T KNOWYET

Problem 6619

Problem 6620

Problem 6621

Evaluate the following. Click on "Not a real number" if applicable. (a) (−3)4=\sqrt{(-3)^{4}}=(−3)4​= □\square□ Not a real number (b) (−10)2=\sqrt{(-10)^{2}}=(−10)2​= □\square□

Problem 6622

Problem 6623

Problem 6624

Problem 6625

Problem 6626

Problem 6627

Problem 6628

Air Temperature: If the temperature outside is 30∘30^{\circ}30∘ ', is it a better day for water skiing or for snow skiing? Water skiing Snow skiing

Problem 6629

Problem 6630

Problem 6631

Problem 6632

Problem 6633

.4-4.6)Graph the function y=x2−63x−8y=\frac{x^{2}-63}{x-8}y=x−8x2−63​ by identifying the domain and any where the curve is increasing and where it is decreasing, finding as intercepts, critical points, and inflection points. Then find coord

Problem 6634

Make the following conversions. Round your answers to 2 decimal places, if necessary.6 feet 6 inches to a. Inches: □\square□ in. b. Feet: □\square□ ft Question Help: 用 eBookPost to forum

Problem 6635

Problem 6636

Problem 6637

Problem 6638

Problem 6639

stion list uestion 5 uestion 6Which of the following is a true statement? A. A probability can never be 0. B. A probability is never less than 1 . C. A probability is never greater than 0 . D. A probability can never be negative.

Problem 6640

What is the equation of the line that passes through the point (−6,−8)(-6,-8)(−6,−8) and has a slope of 12\frac{1}{2}21​ ?Answer Attempt 1 out of 2

Problem 6641

Problem 6642

Problem 6643

Graph the line that passes through the points (−7,−9)(-7,-9)(−7,−9) and (−7,−1)(-7,-1)(−7,−1) and determine the equation of the line.

Problem 6644

How many groups of 20 are in 80 ? Record that in the quotient, multiply, and subtract. Multiply on paper if you need to. (4)

Problem 6645

Compare 42\sqrt{42}42​ and 58\sqrt{58}58​ plotted on the number line. What is the approximate difference in tenths between the two values? 58\sqrt{58}58​ is about □\square□ greater than 42\sqrt{42}42​.

Problem 6646

a) Find the prime factor decomposition of 225 . Give your answer in index form.The lowest common multiple (LCM) of two numbers is 225 . The highest common factor (HCF) of the two numbers is 15 . Neither of the numbers are 15 . b) Use your answer to part a) to work out the values of the two numbers.

Problem 6647

Problem 6648

Choose the correct contrapositive. A. Mexico is not an island or Australia is not an island. B. If Australia is not an island, then Mexico is an island. C. If Australia is an island, then Mexico is not an island. D. If Mexico is not an island, then Australia is an island

Problem 6649

Problem 6650

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?You can afford to download Select an answerv □\square□ games.

Problem 6651

In which of the following aqueous solutions would you expect AgBr to have the highest solubility? A) 0.15 M KBr B) 0.10 M LiBr C) pure water D) 0.10MAgNO30.10 \mathrm{M} \mathrm{AgNO}_{3}0.10MAgNO3​ E) 0.20 M NaBr

Problem 6652

An olive farmer has 8,155 olives to put into jars. It takes 35 olives to fill each jar. How many jars will the farmer be able to fill with olives? □\square□ jars Submit

Problem 6653

Problem 6654

A photographer wants to arrange all of his photographs into albums. Each album can hold 77 photographs. If the photographer has 9,354 photographs in all, how many photographs will be in the partially filled album? □\square□ photographs Submit

Problem 6655

Question Enter the equation of the function sin⁡(x)\sin (x)sin(x) that has a vertical shift 4 units down and a phase shift of π3\frac{\pi}{3}3π​ units left.Provide your answer below:

Problem 6656

16. 0.562517. 0.90625Convert the following fractions to decimals. Use a line over the repeating sequence.20. 119\frac{11}{9}911​21. −49-\frac{4}{9}−94​22. 711\frac{7}{11}117​23. 712\frac{7}{12}127​24. 815\frac{8}{15}158​

Problem 6657

Given a set A={m,p,I,6,H,G,5,n}\mathrm{A}=\{m, p, I, 6, H, G, 5, n\}A={m,p,I,6,H,G,5,n}, answer the follc a. Find the number of subsets of AAA □\square□ b. Find the number of proper subsets of AAA □\square□

4) A rectangle has a length of 2 yards and a width of 7 yards. Find the (a) perimeter and (b) area of the rectangle. $\begin{array}{ll} P=2 L+2 \omega & 18 \\ A=L \omega & 14 y d^{2} \end{array}$ $\square$

Suppose $\$ 14,000$ is invested with $3.5 \%$ interest for 9 years compounded quarterly. What is the resulting value? \$19,157.36 19,182.75 \$20,005.98 \$21,233.65

QUESTION
Give the complete symbol, with superscript and subscript, for an alpha particle. ANSWER
${ }_{1}^{0} \mathrm{e}$
${ }_{2}^{4} \mathrm{He}$ ${ }_{-1}^{0} e$ IDON'T KNOWYET

Evaluate the following. Click on "Not a real number" if applicable. (a) $\sqrt{(-3)^{4}}=$ $\square$ Not a real number (b) $\sqrt{(-10)^{2}}=$ $\square$

Air Temperature: If the temperature outside is $30^{\circ}$ ', is it a better day for water skiing or for snow skiing? Water skiing Snow skiing

.4-4.6)
Graph the function $y=\frac{x^{2}-63}{x-8}$ by identifying the domain and any where the curve is increasing and where it is decreasing, finding as intercepts, critical points, and inflection points. Then find coord

Make the following conversions. Round your answers to 2 decimal places, if necessary.
6 feet 6 inches to a. Inches: $\square$ in. b. Feet: $\square$ ft Question Help: 用 eBook
Post to forum

stion list uestion 5 uestion 6
Which of the following is a true statement? A. A probability can never be 0. B. A probability is never less than 1 . C. A probability is never greater than 0 . D. A probability can never be negative.

What is the equation of the line that passes through the point $(-6,-8)$ and has a slope of $\frac{1}{2}$ ?
Answer Attempt 1 out of 2

Graph the line that passes through the points $(-7,-9)$ and $(-7,-1)$ and determine the equation of the line.

Compare $\sqrt{42}$ and $\sqrt{58}$ plotted on the number line. What is the approximate difference in tenths between the two values? $\sqrt{58}$ is about $\square$ greater than $\sqrt{42}$ .

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?
You can afford to download Select an answerv $\square$ games.

In which of the following aqueous solutions would you expect AgBr to have the highest solubility? A) 0.15 M KBr B) 0.10 M LiBr C) pure water D) $0.10 \mathrm{M} \mathrm{AgNO}_{3}$ E) 0.20 M NaBr

An olive farmer has 8,155 olives to put into jars. It takes 35 olives to fill each jar. How many jars will the farmer be able to fill with olives? $\square$ jars Submit

A photographer wants to arrange all of his photographs into albums. Each album can hold 77 photographs. If the photographer has 9,354 photographs in all, how many photographs will be in the partially filled album? $\square$ photographs Submit

Question Enter the equation of the function $\sin (x)$ that has a vertical shift 4 units down and a phase shift of $\frac{\pi}{3}$ units left.
Provide your answer below:

16. 0.5625
17. 0.90625
Convert the following fractions to decimals. Use a line over the repeating sequence.
20. $\frac{11}{9}$
21. $-\frac{4}{9}$
22. $\frac{7}{11}$
23. $\frac{7}{12}$
24. $\frac{8}{15}$

Given a set $\mathrm{A}=\{m, p, I, 6, H, G, 5, n\}$ , answer the follc a. Find the number of subsets of $A$ $\square$ b. Find the number of proper subsets of $A$ $\square$

What is the domain of the function $f(x)=\sqrt{x^{2}-81}$ ?
The domain is $\square$ (Type your answer in interval notation.)

Complete the sentence below. The graph of a quadratic function is called a(n) $\qquad$ .
The graph of a quadratic function is called $a(n)$ $\square$ (m. line. vertex. square. parabola.

A share price was 300 pence at the start of the year and it is 285 pence today.
Calculate the percentage decrease.
Type your answer here

Find two numbers $a$ and $b$ whose sum $a+b$ is -4 and whose difference $a-b$ is -2 . Your answer is $a=$ $b=$ $\square$ $\square$

9. Two forest fire stations, $P$ and $Q$ , are 20.0 km apart. A ranger at station $Q$ sees a fire 15.0 km away. If the angle between the line $P Q$ and the line from $P$ to the fire is $25^{\circ}$ , how far, to the nearest tenth of a kilometre, is station $P$ from the fire?