Analyze

Problem 2901

\begin{enumerate} \item Creativity and neatness of the artwork. TAKES TIME TO COMPLETE!!!!! \item Reflection about your tessellation \begin{enumerate} \item Explain why the tessellation is a translation/rotation. Use the correct terminology in your answer: describe movement, relationship to the coordinate plane, etc. Your answer needs to be in complete sentences. \end{enumerate} \end{enumerate}

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Problem 2902

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You have 2 attempts to take this quiz (highest score will be taken). (3) Question 6 Community Panopto Video
You will not be able to see correct/incorrect answers between quiz attempts. (3) Question 7 Canvas Library Research Help You might not get the exact same quiz for both attempts, but they will be similar. (?) Question 8 Time Elapsed: Hide Time Attempt due: Nov 17 at 11:59pm 3 Minutes, 20 Seconds
From a sample of 16 students in our class, the mean resting heart rate was 68 bpm with a standard deviation of 12 bpm . Assuming a normal distribution, use the erripirical rule to calculate the following. What is the 95%95 \% confidence interval for the average heart rate of all students in our class? (66,70)(66,70) (60,72)(60,72) (62,74)(62,74) (58,76)(58,76) Question 2 1 pts Accessibility Resources
For a group of normally distributed scores with a mean of 200 and a standard deviation of 10,

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Problem 2903

Consider the following three systems of linear equations.
System A System B System C {9x5y=7[A1]7x2y=13[A2]{12x+y=32[B1]7x2y=13[B2]{12x+y=32[C1]17x=51\left\{\begin{array} { l } { 9 x - 5 y = - 7 [ \mathrm { A } 1 ] } \\ { 7 x - 2 y = - 1 3 [ \mathrm { A } 2 ] } \end{array} \left\{\begin{array} { l } { - 1 2 x + y = 3 2 [ \mathrm { B } 1 ] } \\ { 7 x - 2 y = - 1 3 [ \mathrm { B } 2 ] } \end{array} \left\{\begin{array}{c} -12 x+y=32[\mathrm{C} 1] \\ -17 x=51 \end{array}\right.\right.\right.
Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow ()(\rightarrow) means the expression on the left becomes the expression on the right. (a) How do we transform System A into System B?
×\times Equation [A1][\mathrm{A} 1] \rightarrow Equation [B1][\mathrm{B} 1]
×\times Equation [A2] \rightarrow Equation [B2]
×\times Equation [A1]+[\mathrm{A} 1]+ Equation [A2][\mathrm{A} 2] \rightarrow Equation [B2][\mathrm{B} 2]
\square Equation [A2]+[\mathrm{A} 2]+ Equation [A1][\mathrm{A} 1] \rightarrow Equation [B1][\mathrm{B} 1] (b) How do we transform System B into System C? Check

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Problem 2904

3. Each side of a square is increasing at a rate of 6 cm/s6 \mathrm{~cm} / \mathrm{s}. At what rate is the area of the square increasing when the area of the square is 16 cm216 \mathrm{~cm}^{2} ?

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Problem 2905

Homework Part 1 of 4 Points: 0 of 1
According to a poll, 718 out of 1072 randomly selected adults living in a certain country felt the laws covering the sale of firearms should be more strict. a. What is the value of p^\hat{p}, the sample proportion who favor stricter gun laws? b. Check the conditions to determine whether the CLT can be used to find a confidence interval. c. Find a 95%95 \% confidence interval for the population proportion who favor stricter gun laws. d. Based on your confidence interval, do a majority of adults in the country favor stricter gun laws? a. The value of p^\hat{p}, the sample proportion who favor stricter gun laws, is \square (Round to two decimal places as needed.)

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Problem 2906

Researchers measure the heart rate from 100 students after taking a Human Physiology exam, and find a mean of 120 beats per minute (bpm), with a standard deviation of 20 bpm . Assuming a normal distribution, the middle 95%95 \% of the scores will be between: (100,140)bpm(100,140) \mathrm{bpm} (110,130)(110,130) bpm (80,160)(80,160) bpm (114,124)bpm(114,124) \mathrm{bpm} (118,122)bpm(118,122) \mathrm{bpm}

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Problem 2907

A box is pulled to the right with constant speed across a rough forizontal surface. The box is subject to the gravitational force FF_{\text {. }}. Which of the following par of these torces, if any, represents an interacting force pain described by Newtor's third lav? (A) FN and FfF_{N \text { and }} F_{f} (B) FTF_{T} and FfF_{f} (c) Fy and PxP_{x} (D) None of the four forces are an interecting force pairbecause all four forces are exent th on the stine object. Question 13 of 30

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Problem 2908

Untitled document -... www-awu.aleks.com Traditional / Stats | N... Defense | Stats | NBA... Utah vs LA Stats \& P... Ivica Zubac /// Stats /... Home - Northern Ess... Migterm Exam: Ch 1(1,2)2(1,2,3)3(1,2,3)4(1,2)5(1,2,3)6(1,2)1(1,2) 2(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2) Question 12 of 30 (1 point) I Question Attempt: 1 of 1 Time Remain 1\equiv 1 2 3 4\equiv 4 5 6 8 9 10
Hamburgers: A news story reported the number of calories in hamburgers from six fast-food restaurants. The results are: 280310290330260340\begin{array}{llllll} 280 & 310 & 290 & 330 & 260 & 340 \end{array}
Part: 0/30 / 3
Part 1 of 3 (a) Find the mean number of calories. Round the answer to one decimal place as needed.
The mean number of calories is 301.7 .
Part: 1/31 / 3
Part 2 of 3 (b) Find the median number of calories. Round the answer to one decimal place as needed.
The median number of calories is \square Next Part

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Problem 2909

According to a poll, 651 out of 1026 randomly selected smokers polled believed they are discriminated against in public life or in employment because of their smoking. a. What percentage of the smokers polled believed they are discriminated against because of their smoking? b. Check the conditions to determine whether the CLT can be used to find a confidence interval. c. Find a 95%95 \% confidence interval for the population proportion of smokers who believe they are discriminated against because of their smoking. d. Can this confidence interval be used to conclude that the majority of smokers believe they are discriminated against because of their smoking? Why or why not? a. The percentage of those taking the poll believed they are discriminated against because of their smoking is \square \%. (Round to one decimal place as needed.)

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Problem 2910

12x+4=+24x412 x+4=+24 x-4

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Problem 2911

19. Dans le polynôme 6x256 x^{2}-5, donne: a) le nombre de termes; b) le coefficient du premier terme; c) le nombre de variables; d) le degré du polynôme; e) le terme constant.

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Problem 2912

1\checkmark 1 2\checkmark 2
An augmented matrix is given. Determine the number of solutions to the corresponding systen [100401060010]\left[\begin{array}{ccc|c} 1 & 0 & 0 & -4 \\ 0 & 1 & 0 & 6 \\ 0 & 0 & 1 & 0 \end{array}\right] The system has one solution. The system has no solution. The system has infinitely many solutions.

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Problem 2913

a) [101201150000]\left[\begin{array}{ccc:c} 1 & 0 & -1 & 2 \\ 0 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 \end{array}\right] The system has no solution. The system has a unique solution. (x,y,z)=(,,)(x, y, z)=(\square, \square, \square) The system has infinitely many solutions. (x,y,z)=(x,,)(x, y, z)=(x, \square, \square) (x,y,z)=(,y,)(x, y, z)=(\square, y, \square) (x,y,z)=(,,z)(x, y, z)=(\square, \square, z)

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Problem 2914

\begin{problem} The graph shows the amount of savings over time in Eliana's account. Lana, meanwhile, puts \$50 each week into her savings account. If they both begin with \$0, who is saving at the greater rate? \end{problem}

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Problem 2915

9 Mark for Review 40
The function ff is defined by f(x)=x2ex2f(x)=x^{2} e^{-x^{2}}. At what values of xx does ff have a relative maximum? (A) -2 (B) 0 (C) 1 only (D) -1 and 1

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Problem 2916

DEL - Ap pre-calc: Calculator licbits
Instructions: For each function, find all (1) G(x)=(x1)2G(x)=(x-1)^{2}
Zeroes: -1.41 \1.41ReliMax:NoneRelimin:2 1.41 Reli Max: None Reli min: -2 F(1.2):-.56(2) (2) A(x)=-\frac{(x+5)^{3}}{4}$
Zeroes: Relimax Reli min: f(1.2)f(1.2) : (3) R(x)=x4x34x2+1R(x)=x^{4}-x^{3}-4 x^{2}+1
Zeroes: Reli Max: Reli Min: F(1.2)F(1.2) : (4) 6(x)=6x2+2x1x29106(x)=\frac{6 x^{2}+2 x-1}{x^{2}-9}-10 zeroes: Reli Max: Reli Min: f(12):f(12):

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Problem 2917

(b) [100201010013]\left[\begin{array}{ccc:c} 1 & 0 & 0 & -2 \\ 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 3 \end{array}\right] The system has no solution. The system has a unique solution. (x,y,z)=(,,)(x, y, z)=(\square, \square, \square) The system has infinitely many solutions. (x,y,z)=(x,,)(x, y, z)=(x, \square, \square) (x,y,z)=(x, y, z)= \square \square , yy, ) (x,y,z)=(x, y, z)= \square , 7.z)

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Problem 2918

Question 15 of 30 (1 point) I Question Attempt: 1 of 1 1\equiv 1 =2=2 3 4 5 6 7 8 9
Following are final exam scores, arranged in increasing order, for students in an introductory statistics course. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 56 & 58 & 59 & 60 & 61 & 63 & 66 & 67 & 67 & 70 & 73 & 74 & 75 & 75 & 76 \\ \hline 82 & 85 & 86 & 86 & 90 & 91 & 91 & 92 & 92 & 93 & 96 & 96 & 97 & 97 & 98 \\ \hline \end{tabular}
Part: 0/20 / 2
Part 1 of 2 (a) Find the first quartile of the scores.
The first quartile of the scores is \square .

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Problem 2919

[100501180006]\left[\begin{array}{ccc:c} 1 & 0 & 0 & -5 \\ 0 & 1 & -1 & 8 \\ 0 & 0 & 0 & -6 \end{array}\right]
The system has no solution. The system has a unique solution. (x,y,z)=(,,)(x, y, z)=(\square, \square, \square)
The system has infinitely many solutions. (x,y,z)=(x,,)(x, y, z)=(x, \square, \square) (x,y,z)=(,y,)(x, y, z)=(\square, y, \square) (x,y,z)=(,,z)(x, y, z)=(\square, \square, z)

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Problem 2920

Problem 3: Using the tabular data, determine the order of the reaction and the reaction rate. Graph the data to support your answer. The reaction is peroxide to water and oxygen as shown in stoichiometric equilibrium as below. 2H2O22H2O+O22 \mathrm{H}_{2} \mathrm{O}_{2} \Leftrightarrow 2 \mathrm{H}_{2} \mathrm{O}+\mathrm{O}_{2}
The initial concentration of the hydrogen peroxide is 1.0 M and decreases according to the collected data shown in the table: \begin{tabular}{|c|c|} \hline Time (s)(\mathbf{s}) & {[H2O2](M)\left[\mathrm{H}_{2} \mathrm{O}_{2}\right] \mathbf{( M )}} \\ \hline 0 & 1.0 \\ \hline 10 & 0.8 \\ \hline 20 & 0.6 \\ \hline 30 & 0.4 \\ \hline 40 & 0.2 \\ \hline \end{tabular}
This dataset shows how the concentration of hydrogen peroxide decreases linearly over time in a zero-order reaction. If you have any questions or need further details, feel free to ask!

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Problem 2921

x3y+15z=4x2y+7z=22x8y+46z=7\begin{array}{r} x-3 y+15 z=-4 \\ x-2 y+7 z=-2 \\ 2 x-8 y+46 z=-7 \end{array} The system has no'solution, \{\}. The system has one solution. The solution set is {\{ \square )})\}. The system has infinitely many solutions. The solution set is {()z\{(\square) \mid z is any real number }\}.

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Problem 2922

1. The graph shows the distance that an athlete runs. Find the slope of the line. (Example 1)
Running Distance

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Problem 2923

2. The graph shows the amount of water in a pool as water is added over time. Find the slope of the line. (Example 1)
Water in a Pool

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Problem 2924

9. Using hundreds, tens, and ones, what are three different ways the number 352 can be represented other than the way shown at the right?

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Problem 2925

I'm sorry, but I can't assist with that request.

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Problem 2926

Consider the function f(x)=5x+5x1f(x)=5 x+5 x^{-1}. For this function there are four important intervals: (,A],[A,B),(B,C](-\infty, A],[A, B),(B, C], and [C,)[C, \infty) where AA, and CC are the critical numbers and the function is not defined at BB. Find AA \square and BB \square and CC \square For each of the following open intervals, tell whether f(x)f(x) is increasing or decreasing. (,A)(-\infty, A) : Select an answer \checkmark (A,B)(A, B) : Select an answer (B,C)(B, C) : Select an answer (C,)(C, \infty) Select an answer \vee Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(x)f(x) is concave up or concave down. (,B):(-\infty, B): Select an answer \vee (B,)(B, \infty) : Select an answer \vee

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Problem 2927

=4=4 =5=5 =6=6 7\equiv 7 =8=8
For the data set \begin{tabular}{rrrrrrrrrrrr} \hline 3 & 24 & 5 & 9 & 6 & 3 & 4 & 10 & 3 & 5 & 3 & 9 \\ 4 & 7 & 5 & 5 & 11 & 6 & 3 & 4 & 14 & 5 & 8 & 15 \\ \hline \end{tabular}
Send data to Excel
Part: 0/40 / 4
Part 1 of 4 (a) Find the first and third quartiles.
The first quartile is \square .
The third quartile is \square . Next Part (c) 2024 N

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Problem 2928

For a sample of 41 New England cities, a sociologist studies the crime rate in each city as a function of its poverty rate and its median income. He finds that SSE=4,182,663\operatorname{SSE}=4,182,663 and SST=7,732,451S S T=7,732,451. a. Calculate the standard error of the estimate.
Note: Round your answer to 4 decimal places. Standard Error 331.7681\quad 331.7681 b-1. What proportion of the sample variation in crime rate is explained by the variability in the predictor variables? Note: Round your answer to 4 decimal places. Explained proportion 0.4593\quad 0.4593 b-2. What proportion is unexplained? Note: Round your answer to 4 decimal places.

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Problem 2929

```latex Three systems of linear equations.
System B{5x+2y=4[B1]13x=26[B2]System C{5x+2y=4[C1]x=2[C2] \begin{array}{c} \text{System B} \\ \left\{ \begin{array}{c} -5x + 2y = 4 \quad [\mathrm{B}1] \\ -13x = 26 \quad [\mathrm{B}2] \end{array} \right. \end{array} \quad \begin{array}{c} \text{System C} \\ \left\{ \begin{array}{c} -5x + 2y = 4 \quad [\mathrm{C}1] \\ x = -2 \quad [\mathrm{C}2] \end{array} \right. \end{array}
Below, transformation and then fill in the
How do we transform System B into System C?
×\times Equation [B1][B 1] \rightarrow Equation [C1]
Equation [B2][B 2] \rightarrow Equation [C2]
Equation [B1]+[B 1]+ Equation [B2][B 2] \rightarrow Equation [C2][C 2]
Equation [B2]+[B 2]+ Equation [B1][B 1] \rightarrow Equation [C1]

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Problem 2930

Part 2 of 4 Points: 0 of 1
In a simple random sample of 1600 people age 20 and over in a certain country, the proportion with a certain disease was found to be 0.090 (or 9.0%9.0 \% ). Complete parts (a) through (d) below. a. What is the standard error of the estimate of the proportion of all people in the country age 20 and over with the disease? SEest =0.0072S E_{\text {est }}=0.0072 (Round to four decimal places as needed.) b. Find the margin of error, using a 95%95 \% confidence level, for estimating this proportion. m=\mathrm{m}= \square (Round to three decimal places as needed.)

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Problem 2931

For the data set
3245963410475341035397551163439 data to  Excel 55815\begin{array}{llllllllllllll} 3 & 24 & 5 & 9 & 6 & 3 & 4 & 10 & & & & \\ 4 & 7 & 5 & & & 3 & 4 & 10 & 3 & 5 & 3 & 9 \\ \hline & 7 & 5 & 5 & 11 & 6 & 3 & 4 & & & 3 & 9 \\ \hline \text { data to } & & \text { Excel } & & & & & & & & 5 & 5 & 8 & 15 \end{array}
List the outliers. If there is more than one outlier, separate them by a comma.
Use "None", if applicable.
Outlier(s): \square None

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Problem 2932

What is the perimeter, in units, of polygon EFGHJK?

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Problem 2933

30. For the two functions y=2(x+5)2+qy=-2(x+5)^{2}+q and y=2(x+5)2q,q>0y=2(x+5)^{2}-q, q>0, How many times do they intersect?

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Problem 2934

14. f(x)=3x3+8x2+3x2;(x+2)f(x)=3 x^{3}+8 x^{2}+3 x-2 ;(x+2)
16. f(x)=8x424x3x+3;(x3)f(x)=8 x^{4}-24 x^{3}-x+3 ;(x-3)

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Problem 2935

Attempt: 1 of 1 =1=1 2 =3=3 =4=4 =5=5 =6=6 =7=7 =8=8
Compute the correlation coefficient. \begin{tabular}{c|ccccccc} xx & 40 & 26 & -1 & 15 & 13 & 11 & -2 \\ \hlineyy & 0 & -10 & -7 & 19 & 26 & 5 & 35 \end{tabular}
The correlation coefficient is r=r=. Round the answer to three decimal places as needed.

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Problem 2936

What is the range of the sine function?
The range of the sine function is \square (Type your answer in interval notation.)

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Problem 2937

1 Mark for Review If xy2+x2y=5x y^{2}+\frac{x^{2}}{y}=5, then dydx=\frac{d y}{d x}= (A) 2xyx(2y3x)\frac{-2 x y}{x\left(2 y^{3}-x\right)}
B y(y3+2x)x(2y3x)\frac{-y\left(y^{3}+2 x\right)}{x\left(2 y^{3}-x\right)} (C) y4x(2y3x)\frac{-y^{4}}{x\left(2 y^{3}-x\right)} (D) 5y2y42xyx(2y3+x)\frac{5 y^{2}-y^{4}-2 x y}{x\left(2 y^{3}+x\right)}

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Problem 2938

A poll in 2017 reported that 697 out of 1034 adults in a certain country believe that marijuana should be legalized. When this poll about the same subject was first conducted in 196 only 12%12 \% of the adults of the country supported legalization. Assume the conditions for using the CLT are met. Complete parts (a) through (d) below. a. Find and interpret a 99%99 \% confidence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized.
The 99%99 \% confidence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized is ( 0.636 ; 0.712 ). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) A. There is a \square \% chance that the sample proportion of adults who believe marijuana should be legalized is between \square and \square . B. We are \square \% confident that every sample proportion of adults who believe marijuana should be legalized is between \square and d c. We are 99%99 \% confident that the population proportion of adults who believe marijuana should be legalized is between 0.636 and 0.712 . D. There is a \square \% chance that the population proportion of adults who believe marijuana should be legalized is between \square and \square b. Find and interpret a 95\% confidence interval for this population parameter.
The 95%95 \% confidence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized is ( \square , ). (Round to three decimal places as needed.)

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Problem 2939

Perform the elementary row operation 12R2+R1R1\frac{1}{2} R_{2}+R_{1} \rightarrow R_{1} on the given matrix. [325264]\left[\begin{array}{ll:l} 3 & 2 & 5 \\ 2 & 6 & 4 \end{array}\right]
Resulting matrix: \square \square \square \square \square \square \square

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Problem 2940

(D) State the Mypotheses - Example Suppose you want to see it there is an association between gender (mater, femate) and Preference for a new product (ilke, dislike) - Null Hypothesis (HO): There is no association between gender and product preference. - Alternative Hypothesis (H1): There is an association between gender and product preference.
Step 2: Collect and Summarize the Data Example: Survey 200 people and record their gender and product preference. \begin{tabular}{|l|l|l|l|l|} \hline & Like & Dislike & Total \\ \hline Male & 50 & 30 & 80 & \\ \hline Total & 70 & 50 & 120 \\ \hline \end{tabular}
Step 3: Calculate the Expected Frequencies - Example: For each cell in the table, calculate the expected frequency under the assumption that HO is true. - Expected frequency for males who like the product: 80120200=4880 * 120200=48 - Expected frequency for females who like the product: 120120200=72120 * 120200=72
Step 4: Calculate the Chi-Square Statistic - Example: Use the formula: χ2=(OE)2E\chi 2=\sum(O-E) 2 E, where OO is the observed frequency and EE is the expecte d frequency. - Chi-Square calculation: χ2=(5048)248+(3032)232+(7072)272+(5048)248\chi 2=(50-48) 248+(30-32) 232+(70-72) 272+(50-48) 248
Step 5: Determine the p-value and Conclusion - Example: With degrees of freedom (df)=((\mathrm{df})=( rows -1)() *( columns -1)=1)=1, you can find the pp value using a Chi-Square distribution table or software. - Compare the p-value to your significance level (typically 0.05). If the pvalue is less than 0.05 , reject HO and conclude there is an association.

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Problem 2941

Identify the xx-intercept and yy-intercept of the line 2x5y=102 x-5 y=10. The xx-intercept is (2,0)(2,0) and the yy-intercept is (0,5)(0,-5). The xx-intercept is (0,5)(0,5) and the yy-intercept is (2,0)(-2,0). The xx-intercept is (0,2)(0,-2) and the yy-intercept is (5,0)(5,0). The xx-intercept is (5,0)(5,0) and the yy-intercept is (0,2)(0,-2).

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Problem 2942

[14762862]undefinedR1+R2R2[1470420]\left[\begin{array}{cc:c} 1 & -4 & 7 \\ -6 & 28 & -62 \end{array}\right] \xrightarrow{\square \cdot R_{1}+R_{2} \rightarrow R_{2}}\left[\begin{array}{cc:c} 1 & -4 & 7 \\ 0 & 4 & -20 \end{array}\right]
Step 3:

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Problem 2943

Determine whether the given series is convergent or divergent. n=1n2n2+1\sum_{n=1}^{\infty} \frac{n}{\sqrt{2 n^{2}+1}} convergent divergent

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Problem 2944

4 Mark for Review APS
Which of the following functions of xx is guaranteed by the Extreme Value Theorem to have an absolute maximum on the interval [0,2π][0,2 \pi] ? (A) y=11+sinxy=\frac{1}{1+\sin x} (B) y=1x2+πy=\frac{1}{x^{2}+\pi} (C) y=x22πx+π2xπy=\frac{x^{2}-2 \pi x+\pi^{2}}{x-\pi} (D) y=xπxπy=\frac{|x-\pi|}{x-\pi}

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Problem 2945

1. Identify the parent function. Then describe the transformations that produce the graph of ff. a. f(x)=x+9f(x)=|x+9| b. f(x)=5x38f(x)=5 x^{3}-8

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Problem 2946

The population in a certain city was 57,000 in 2000 , and its future size is predicted to be P(t)=57,000e0.018t\mathrm{P}(\mathrm{t})=57,000 e^{0.018 t}, where t is the number of years after 2000.
Complete parts a through d below. a. Does this model indicate that the population is increasing or decreasing? increasing decreasing b. Use this function to estimate the population of the city in 2009. \square (Round to the nearest whole number as needed.)

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Problem 2947

10. Find (hg)(x)(h-g)(x) * 6 points g(x)=3x+1h(x)=x32\begin{array}{l} g(x)=3 x+1 \\ h(x)=x^{3}-2 \end{array} 2x412 x^{4}-1 2x4+32 x^{4}+3 Option 1 Option 2 x3+3x+3-x^{3}+3 x+3 x3+3x1-x^{3}+3 x-1

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Problem 2948

\begin{tabular}{|c|c|c|c|} \hline \text{reaction} & \text{observations} & \multicolumn{2}{|r|}{\text{conclusions}} \\ \hline \text{A} & \text{This reaction is spontaneous except above } 110^\circ \text{C}. & \begin{tabular}{l} \Delta H \text{ is} \\ \Delta S \text{ is} \end{tabular} & \begin{tabular}{l} \text{(pick one) positive/negative/unknown} \\ \text{(pick one) positive/negative/unknown} \end{tabular} \\ \hline \text{B} & \text{This reaction is spontaneous only above } 118^\circ \text{C} \text{ but proceeds at a slower rate below } 196^\circ \text{C}. & \begin{tabular}{l} \Delta H \text{ is} \\ \Delta S \text{ is} \end{tabular} & \begin{tabular}{l} \text{(pick one) positive/negative/unknown} \\ \text{(pick one) positive/negative/unknown} \end{tabular} \\ \hline \text{C} & \text{This reaction is always spontaneous, but proceeds slower at temperatures below } -50^\circ \text{C}. & \Delta S \text{ is} & \begin{tabular}{l} \text{(pick one) positive/negative/unknown} \\ \text{(pick one) positive/negative/unknown} \end{tabular} \\ \hline \end{tabular}

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Problem 2949

A poll reported that 70.1%70.1 \% of adults in a certain country believe that organic produce is better for health than conventionally grown varieties. Assume the sample size was 1000 and that the conditions for using the CLT are met. Complete parts (a) through (d) below. a. Find and interpret a 95%95 \% confidence interval for the proportion of adults in the country who believe organic produce is better for health.
The 95%95 \% confidence interval for the proportion of adults in the country who believe organic produce is better for health is ( 0.673,0.7290.673,0.729 ). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) A. We are \square \% confident that every sample proportion of adults in the country who believe organic produce is better for health is between \square and \square I. B. There is a \square \% chance that the sample proportion of adults in the country who believe organic produce is better for health is between \square and \square C. We are 95%95 \% confident that the population proportion of adults in the country who believe organic produce is better for health is between 0.673 and 0.729 . D. There is a \square \% chance that the population proportion of adults in the country who believe organic produce is better for health is between \square and \square . b. Find and interpret an 80%80 \% confidence interval for this population parameter.
The 80%80 \% confidence interval for the proportion of adults in the country who believe organic produce is better for health is ( 0.682,0.7200.682,0.720 ). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) A. There is an \square \% chance that the population proportion of adults in the country who believe organic produce is better for health is between \square and \square . B. We are \square \% confident that every sample proportion of adults in the country who believe organic produce is better for health is between \square \square C. There is an \square \% chance that the sample proportion of adults in the country who believe organic produce is better for health is between \square and \square D. We are %\% confident that the population proportion of adults in the country who believe organic produce is better for health is between \square and

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Problem 2950

6 Mark for Review AP
The function ff is defined by f(x)=ex(x2+2x)f(x)=e^{-x}\left(x^{2}+2 x\right). At what values of xx does ff have a relative maximum?
A x=2+2x=-2+\sqrt{2} and x=22x=-2-\sqrt{2}
B x=2x=-\sqrt{2} only (C) x=2x=-2 and x=0x=0 (D) x=2x=\sqrt{2} only

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Problem 2951

On July 1, 2027, Dylan Company purchased a patent from Roy Orbison for $1,050,000\$ 1,050,000. It is estimated that the patent has a remaining useful life of 5 years. Use the following tabular analysis to make the adjustment for amortization expense for the year 2027. increase Expenses and decrease Cash \$105,000 increase Expenses and decrease Cash \$210,000 increase Expenses and decrease Patents \$105,000 increase Expenses and decrease Patents \$210,000

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Problem 2952

Part 4 of 4 (d) Which of the following is the best interpretation of the correlation coefficient? When the price of eggs rises, it causes the price of milk to rise. When the price of milk rises, it causes the price of eggs to rise. Changes in the price of eggs or milk do not cause changes in the price of the other; the correlation indicates that the prices of milk and eggs tend to go up and down together. Continue (c) 2024 McGraw Hill L

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Problem 2953

Getting a job on ... another planet (Y-Planet to be exact!) is a big deal but... YOU GOT IT! (your license \# is 865998180 ... Hooray!) Getting used to such new environment is also a huge challenge. For example, the 3D space around you is curved and shaped in a weird way, it might be hard to just fit into a big door opening until you learn the tricks of "Y-Planet" geometry. The Y-Planet inhabitants are... funny and friendly creatures... but we don't have time right now to chat about that.
Here is the problem: A cylinder shaped can needs to be constructed for Y-Planet environment. This can is supposed to hold 550 cubic centimeters of... soup (how the aliens eat soup... that's something... but don't laugh at them... you'll be fired). The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.08 cents per square centimeter.
Find the dimensions for the can that will minimize production cost. Helpful YP information: hh : height of can, rr : radius of can V=πr5h(V=πr2h on Earth, don’t forget "Mother Land") V=\sqrt{\pi r^{5} h} \quad\left(V=\pi r^{2} h\right. \text { on Earth, don't forget "Mother Land") }
Area of the sides: A=2πrhA=2 \pi r h (same as on Earth) Area of the top/bottom: A=πr2A=\pi r^{2} (same as on Earth) To minimize the cost of the can: Radius of the can, r=r= \square Height of the can, h=h= \square and Minimum Cost is: \square cents

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Problem 2954

7 ■ Mark for Review
Let ff be a differentiable function with a domain of (0,10)(0,10). It is known that f(x)f^{\prime}(x), the derivative of f(x)f(x), is negative on the intervals (0,2)(0,2) and (4,6)(4,6) and positive on the intervals (2,4)(2,4) and (6,10)(6,10). Which of the following statements is true? A) ff has no relative minima and three relative maxima. (B) ff has one relative minimum and two relative maxima. (C) ff has two relative minima and one relative maximum.
D ff has three relative minima and no relative maxima.

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Problem 2955

Q4. Calcium sulfide reacts with calcium sulfate as shown. CaS+3CaSO44CaO+4SO2\mathrm{CaS}+3 \mathrm{CaSO}_{4} \rightarrow 4 \mathrm{CaO}+4 \mathrm{SO}_{2} 2.50 g of calcium sulfide are heated with 9.85 g of calcium sulfate until there is no further reaction.
Show that calcium sulfate is the limiting reagent in this reaction. Calculate the mass, in g , of sulfur dioxide formed. Mr(CaS)=72.2Mr(CaSO4)=136.2\begin{array}{l} M_{r}(\mathrm{CaS})=72.2 \\ M_{r}\left(\mathrm{CaSO}_{4}\right)=136.2 \end{array}

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Problem 2956

8 Mark for Review
Let ff be the function with derivative f(x)=x33x2f^{\prime}(x)=x^{3}-3 x-2. Which of the following statements is true?
A ff has no relative minima and one relative maximum. (B) ff has one relative minimum and no relative maxima. (C) ff has one relative minimum and one relative maximum. (D) ff has two relative minima and one relative maximum.

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Problem 2957

At the point shown on the function above, which of the following is true? f<0,f>0f^{\prime}<0, f^{\prime \prime}>0 f>0,f>0f^{\prime}>0, f^{\prime \prime}>0 f<0,f<0f^{\prime}<0, f^{\prime \prime}<0 f>0,f<0f^{\prime}>0, f^{\prime \prime}<0

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Problem 2958

to conclude that the fund has moderate risk return for a certain fund. The standard deviation of the rate of return is computed to be 3.98%3.98 \%. Is there suffic distributed.
What are the correct hypotheses for this test? The null hypothesis is H0:σ=0.06\mathrm{H}_{0}: \sigma=0.06. The alternative hypothesis is H1:σ<0.06\mathrm{H}_{1}: \sigma<0.06. Calculate the value of the test statistic. χ2=11.880\chi^{2}=11.880 (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The PP-value is \square \square. (Round to three decimal places as needed.) Clear all

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Problem 2959

For each triangle, check all that apply. \begin{tabular}{|c|c|c|c|} \hline Triangle A & Triangle B & Triangle C & Triangle D \\ \hline Scalene Isosceles Equilateral & Scalene Isosceles Equilateral & Scalene Isosceles Equilateral & Scalene Isosceles Equilateral \\ \hline \end{tabular}

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Problem 2960

Weights of animals which are modeled by N(420lbs,50lbs\mathrm{N}(420 \mathrm{lbs}, 50 \mathrm{lbs}.)
6. There is a 94.52%94.52 \% chance of having the same weight as Jerry the Giraffe. How many standard deviations from the mean is he? a. 1.60 standard deviations b. 1.65 standard deviations light green c. 2.00 standard deviations black d. -1.50 standard deviations yellow grey
7. How much does Jerry weigh? a. 502 lbs purple b. 500 lbs dark red c. 520 lbs dark green d. 345 lbs light brown

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Problem 2961

homework5.1: Problem 2 (1 point)
For time, tt, in hours, 0t10 \leq t \leq 1, a bug is crawling at a velocity, vv, in meters/hour given by v=22+tv=\frac{2}{2+t}
Use Δt=0.2\Delta t=0.2 to estimate the distance that the bug crawls during this hour. Use left-and right-hand Riemann sums to find an overestimate and an underestimate. Then average the two to get a new estimate. underestimate == \square overestimate == \square average = \square (for each, include help (units)
Note: You can earn partial credit on this problem.

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Problem 2962

Midterm Exam: Ch 1(1,2)2(1,2,3)3(1,2,3)4(1,2)5(1,2,3)6(1,2)1(1,2) 2(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2) Question 27 of 30 (1 point) I Question Attempt: 1 of 1 Home - Northern Ess... A Content Ivica Zubac /// Stats/... <13<13 14\equiv 14 =15=15 16 =17=17 18 19 =20=20 21 22 =23=23 Jonath: Time Remaining: 57:32
Pain: The General Social Survey asked 835 people how many days they would wait to seek medical treatment if they were suffering pain that interfered with their ability to work. The results are presented in the following table. \begin{tabular}{cc} Number of Days & Frequency \\ \hline 0 & 26 \\ 1 & 432 \\ 2 & 266 \\ 3 & 79 \\ 4 & 18 \\ 5 & 14 \\ \hline Total & 835 \end{tabular}
Part: 0/20 / 2 \square
Part 1 of 2 (a) Compute the mean μX\mu_{X}. Round the answer to three decimal places as needed. μX=\mu_{X}=\square \square

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Problem 2963

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the fx\boldsymbol{f}_{\mathbf{x}} button to type out math expressions, fractions, and symbols more easily.

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Problem 2964

Uniticed document - -.. Traditional| Stats I N... Defense IStats | NBA... Utah vs LA Stats \& P... Time Remaining: 56:18 Jonathan Midterm Exam: Ch 1(1,2)2(1,2,3)3(1,2,3)4(1,2)5(1,2,3)6(1,2)1(1,2) 2(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2) Question 27 of 30 (1 point) I Guestion Attempt: 1 of 1 Españ
Pain: The General Social Survey asked 835 people how many days they would wait to seek medical treatment if they were suffering pain that interfered with their ability to work. The results are presented in the following table. \begin{tabular}{cc} Number of Days & Frequency \\ \hline 0 & 26 \\ 1 & 432 \\ 2 & 266 \\ 3 & 79 \\ 4 & 18 \\ 5 & 14 \\ \hline Total & 835 \end{tabular}
Part: 0/20 / 2
Part 1 of 2 (a) Compute the mean μX\mu_{X}. Round the answer to three decimal places as needed. μX=1.607\mu_{X}=1.607
Part: 1/21 / 2
Part 2 of 2 (b) Compute the standard deviation σX\sigma_{X}. Round the answer to three decimal places as needed. σX=\sigma_{X}=\square \square Subm Guntinue - 2024 McGraw HIII LLC. All Rights Resenved. Terms of Use I Privacy C

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Problem 2965

A chemist measures the enthalpy change ΔH\Delta H during the following reaction: C6H12O6( s)3CH4(g)+3CO2(g)ΔH=132.kJ\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(\mathrm{~s}) \rightarrow 3 \mathrm{CH}_{4}(g)+3 \mathrm{CO}_{2}(g) \quad \Delta H=-132 . \mathrm{kJ}
Use this information to complete the table below. Round each of your answers to the nearest kJ. \begin{tabular}{|c|c|} \hline reaction & ΔH\Delta H \\ \hline16C6H12O6(s)12CH4(g)+12CO2(g)\frac{1}{6} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s) \rightarrow \frac{1}{2} \mathrm{CH}_{-4}(g)+\frac{1}{2} \mathrm{CO}_{2}(g) & kJ\square \mathrm{kJ} \\ \hline 3CH4(g)+3CO2(g)C6H12O6(s)3 \mathrm{CH}_{4}(g)+3 \mathrm{CO}_{2}(g) \rightarrow \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s) & kJ\square \mathrm{kJ} \\ \hline 9CH4(g)+9CO2(g)3C6H12O6(s)9 \mathrm{CH}_{4}(g)+9 \mathrm{CO}_{2}(g) \rightarrow 3 \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s) & kJ\square \mathrm{kJ} \\ \hline \end{tabular}

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Problem 2966

3. Ben was asked to determine if the function f(x)=x34x24x+19f(x)=x^{3}-4 x^{2}-4 x+19 was even, odd, or neither. His work is shown below. f(2)=234(22)4(2)+19=3f(2)=(2)34(2)24(2)+19=3\begin{array}{l} f(2)=2^{3}-4\left(2^{2}\right)-4(2)+19=3 \\ f(-2)=(-2)^{3}-4(-2)^{2}-4(-2)+19=3 \end{array}
Because f(2)=f(2),f(x)f(2)=f(-2), f(x) is even. Imagine you were Ben's teacher. What feedback would you give him?

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Problem 2967

1
The amount of heat absorbed by the solution can be found using the equation q=m×SH×ΔT\mathrm{q}=\mathrm{m} \times \mathrm{SH} \times \Delta \mathrm{T}. It can also be written as qsolution =\mathrm{q}_{\text {solution }}= msolution ×SHsolution ×ΔTsolution \mathrm{m}_{\text {solution }} \times \mathrm{SH}_{\text {solution }} \times \Delta \mathrm{T}_{\text {solution }}. We can assume that the specific heat of the solution is the same as the specific heat of water which is 1.00cal/(gC)1.00 \mathrm{cal} /\left(\mathrm{g}^{\circ} \mathrm{C}\right). Data Table \begin{tabular}{|c|c|c|c|} \hline Mass of Zn & HCl Volume & Tinitial \mathrm{T}_{\text {initial }} & Tfinal \mathrm{T}_{\text {final }} \\ \hline 0.55 g & 100.0 mL & 20.0C20.0^{\circ} \mathrm{C} & 23.1C23.1^{\circ} \mathrm{C} \\ \hline \end{tabular}
Which of the following shows the correct calculation of qsolution \mathrm{q}_{\text {solution }} ? a. 0.55 grams ×1.00calgC×3.1C\times 1.00 \frac{\mathrm{cal}}{\mathrm{g}^{\circ} \mathrm{C}} \times 3.1^{\circ} \mathrm{C} b. 100.0 mL×1.00calgC×3.1C\quad 100.0 \mathrm{~mL} \times 1.00 \frac{\mathrm{cal}}{\mathrm{g}} \mathrm{C} \times 3.1^{\circ} \mathrm{C} c. 107 grams ×1.00calgC×23.1C\times 1.00 \frac{\mathrm{cal}}{\mathrm{g}^{\circ} \mathrm{C}} \times 23.1^{\circ} \mathrm{C} d. 107 grams ×1.00calgC×3.1C\times 1.00 \frac{\mathrm{cal}}{\mathrm{g}{ }^{\circ} \mathrm{C}} \times 3.1^{\circ} \mathrm{C}

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Problem 2968

The tape diagrams below represent fraction multiplication. 1/51 / 5 skink
Which expression represents the image? Choose 1 answer: (A) 56×32\frac{5}{6} \times \frac{3}{2} (B) 14×34\frac{1}{4} \times \frac{3}{4} (c) 56×34\frac{5}{6} \times \frac{3}{4}

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Problem 2969

Consider the following relation. x=2y5x=-2|y|-5
Step 1 of 2: Find four points contained in the inverse. Express your values as an integer or simplified fraction.
Answer

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Problem 2970

x=a5b13c3d23 x = \frac{\sqrt{a^{5}} b^{-\frac{1}{3}}}{c^{3} \cdot d^{-\frac{2}{3}}}

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Problem 2971

Consider the following relation. x=2y5x=-2|y|-5
Step 2 of 2: Find the domain and range of the inverse. Express your answer in interval notation.
Answer

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Problem 2972

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the fxf_{x} button to type out math expressions, fractions, and symbols more easily

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Problem 2973

We are having cake and it is Ashley's birthday. gation: We aren't having cake or It Isn't Ashley's birthday. one of DeMorgan's Laws to choose a statement equivalent to the following.
Jupiter isn't one of our planets and Earth isn't at the center of our solar system.
Ivalent: \square pour \square It is not the case that "Jupiter is one of our planets and Earth is at the center of our solar system". Jupiter is one of our planets or Earth is at the center of our solar system. Earth is at the center of our solar system and Jupiter is one of our planets. It is not the case that "Jupiter is one of our planets or Earth is at the center of our solar system".

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Problem 2974

14 Mark for Review Aps \begin{tabular}{|l|l|l|l|} \hline & & & \\ \hline & & & \\ \hline & & & \\ \hlinexx & & & \\ \hline \end{tabular}
The figure above represents a square sheet of cardboard with side length 20 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length xx and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume VV of a rectangular box is given by V=lwhV=l w h.) (A) When x=10x=10 inches, the box has a minimum possible volume.
B When x=10x=10 inches, the box has a maximum possible volume. C) When x=103x=\frac{10}{3} inches, the box has a minimum possible volume.
D When x=103x=\frac{10}{3} inches, the box has a maximum possible volume.

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Problem 2975

Identify the vertex of the parabola: \square Remember that the vertex is a point! Identify the yy-intercept of the parabola: \square Remember that the yy-intercept is a point! Identify the xx-intercepts: \square and \square Remember tllat the xx-intercepts represent points on the graph! Given the xx-intercepts above, write an equation for the parabola in factored for y=y= \square Hint: Think about the zero-product property. Write an equation for the axis of symmetry: \square

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Problem 2976

15 Mark for Review 4%4 \% \begin{tabular}{|c||c|c|c|c|} \hlinexx & 0 & 1 & 2 & 3 \\ \hlinef(x)f(x) & 15 & 14 & 12 & 9 \\ \hline \end{tabular}
Let ff be a function with selected values given in the table above. Which of the following statements must be true? I. By the Intermediate Value Theorem, there is a value cc in the interval (0,3)(0,3) such that f(c)=10f(c)=10. II. By the Mean Value Theorem, there is a value cc in the interval (0,3)(0,3) such that f(c)=2f^{\prime}(c)=-2. III. By the Extreme Value Theorem, there is a value cc in the interval [0,3][0,3] such that f(c)f(x)f(c) \leq f(x) for all xx in the interval [0,3][0,3]. (A) None (B) Ionly (C) 11 only (D) 1,II1, I I, and III

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Problem 2977

A ladder 30 ft long-rests against a vertical wall. If the top of the ladder is being pulled up the wall at a rate of 4ft/s4 \mathrm{ft} / \mathrm{s}, at what rate is the bottom of the ladder moving towards the wall when the top of the ladder is 6 ft from the ground?
Do not include units in your answer. Your answer can be exact or approximate. If it is approximate, round to three decimal places.

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Problem 2978

28. An engineer wants to find out whether to pave a particular section of road. To help with the decision, he finds out how many cars use the road each day. For 35 consecutive days, the number of cars is counted daily.A. Create 10 intervals and tally the raw data and fill in the missing values of the frequency chart. (5 marks)892912894879809926804908918913814872903893899879892907869874903898928859914902895938864884877880814803912IntervalTallyFrequency803816817830831844845858859872873886887900901914915928B. What percentage of days are there less than 900 cars on the road? Round your answer to the nearest percentage. (2 marks)\begin{array}{l} \text{28. An engineer wants to find out whether to pave a particular section of road. To help with the decision, he finds out how many cars use the road each day. For 35 consecutive days, the number of cars is counted daily.} \\ \text{A. Create 10 intervals and tally the raw data and fill in the missing values of the frequency chart. (5 marks)} \\ \begin{array}{llllllllllll} 892 & 912 & 894 & 879 & 809 & 926 & 804 & 908 & 918 & 913 & 814 & 872 \\ 903 & 893 & 899 & 879 & 892 & 907 & 869 & 874 & 903 & 898 & 928 & 859 \\ 914 & 902 & 895 & 938 & 864 & 884 & 877 & 880 & 814 & 803 & 912 & \\ \end{array} \\ \hline \\ \begin{array}{|c|c|c|} \hline \text{Interval} & \text{Tally} & \text{Frequency} \\ \hline 803-816 & & \\ \hline 817-830 & & \\ \hline 831-844 & & \\ \hline 845-858 & & \\ \hline 859-872 & & \\ \hline 873-886 & & \\ \hline 887-900 & & \\ \hline 901-914 & & \\ \hline 915-928 & & \\ \hline \end{array} \\ \text{B. What percentage of days are there less than 900 cars on the road? Round your answer to the nearest percentage. (2 marks)} \\ \end{array}

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Problem 2979

17 Mark for Review Aps.
Let ff be a twice-differentiable function. Which of the following statements are individually sufficient to conclude that x=2x=2 is the location of the absolute maximum of ff on the interval [5,5][-5,5] ? I. f(2)=0f^{\prime}(2)=0 II. x=2x=2 is the only critical point of ff on the interval [5,5][-5,5], and f(2)<0f^{\prime \prime}(2)<0. III. x=2x=2 is the only critical point of ff on the interval [5,5][-5,5], and f(5)<f(5)<f(2)f(-5)<f(5)<f(2). (A) II only (B) Ill only (C) I and II only
D DI and III only

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Problem 2980

[-/0.5 Points] DETAILS MY NOTES TANAPMATH7 10.2.058.
Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.) g(x)=4x48x3+6g(x)=4 x^{4}-8 x^{3}+6 smaller xx-value (x,y)=(x, y)= \square ) larger xx-value (x,y)=(x, y)= \square ) Need Help? Read it

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Problem 2981

6 5/5 points Let X1,X2,,XnX_{1}, X_{2}, \ldots, X_{n} be independent and identically distributed random variables from a uniform distribution on the interval (0,a)(0, a). The value of a is unknown. Derive the method of moments estimate of the parameter a. 2(X1++Xn)/n2\left(X_{1}+\ldots+X_{n}\right) / n 2* median( X1,,Xn\mathrm{X} 1, \ldots, \mathrm{Xn} ) Max(X1,X2,,Xn)\operatorname{Max}\left(X_{1}, X_{2}, \ldots, X_{n}\right)

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Problem 2982

Find a formula for the inverse of the following function, if possible. s(x)=4x53s(x)=\sqrt[3]{4 x-5}
Answer How to enter your answer (opens in new window)
Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. s1(x)=s^{-1}(x)= does not have an inverse function

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Problem 2983

You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 18 containers. Estimate the population standard deviation at a 98%98 \% level of confidence. \begin{tabular}{|r|r|r|r|r|r|} \hline 11.99 & 12.13 & 11.86 & 12.01 & 11.95 & 12.11 \\ \hline 11.88 & 11.91 & 12 & 11.98 & 12.09 & 12.13 \\ \hline 11.98 & 11.93 & 12.14 & 12.08 & 11.98 & 12.07 \\ \hline \end{tabular} (Data checksum: 216.22) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: 0.0836×0.0836 \times \square b) Find the lower and upper χ2\chi^{2} critical values at 98%98 \% confidence:
Lower: 6.4077 No66.4077 \mathrm{~N} \mathrm{o}^{6} Upper: 30.1911 x c) Report your confidence interval for σ:(0.0569×,0.1152×)\sigma:(0.0569 \times, 0.1152 \times)

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Problem 2984

7(n+8)=7(n+8)= \square \square

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Problem 2985

Use difference quotients with Δx=0.1\Delta x=0.1 and Δy=0.1\Delta y=0.1 to estimate fx(4,2)f_{x}(4,2) and fy(4,2)f_{y}(4,2) where f(x,y)=exsin(y).f(x, y)=e^{-x} \sin (y) . fx(4,2)fy(4,2)\begin{array}{l} f_{x}(4,2) \approx \\ f_{y}(4,2) \approx \end{array} \square \square Then give better estimates by using Δx=0.01\Delta x=0.01 and Δy=0.01\Delta y=0.01. fx(4,2)fy(4,2)\begin{array}{l} f_{x}(4,2) \approx \square \\ f_{y}(4,2) \approx \square \end{array} Submit answer Next item

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Problem 2986

Graph the solution set of the inequality on a number line and then write it in interval notation. {x8x>2}\{x \mid 8 \geq x>-2\}

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Problem 2987

Follow the steps for graphing a rational function to graph the function R(x)=x+3x(x+9)R(x)=\frac{x+3}{x(x+9)}.
Determine the behavior of the graph of R at any x -intercepts. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The graph will cross the xx-axis at x=x= \square and touch but not cross the xx-axis at x=x= \square . (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) B. The graph will touch but not cross the xx-axis at x=x= \square (Type integers or simplified fractions. Use a comma to separate answers as needed Type each answer only once.) C. The graph will cross the xx-axis at x=x= \square . (Type integers or simplified.fractions. Use a comma to separate answers as needed. Type each answer only once.) D. The function has no xx-intercept.
Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has three vertical asymptotes. The leftmost asymptote is \square , the middle asymptote is \square , and the rightmost asymptote is \square . (Type equations. Use integers or fractions for any numbers in the equations.) B. The function has two vertical asymptotes. The leftmost asymptote is \square , and the rightmost asymptote is \square . (Type equations. Use integers or fractions for any numbers in the equations.) C. The function has one vertical asymptote, \square . (Type an equation. Use integers or fractions for any numbers in the equation.) D. The function has no vertical asymptote.

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Problem 2988

limx1f(x)f(x)={x2+3,x12,x=1\begin{array}{l}\lim _{x \rightarrow 1} f(x) \\ f(x)=\left\{\begin{array}{ll}x^{2}+3, & x \neq 1 \\ 2, & x=1\end{array}\right.\end{array}

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Problem 2989

Which angle is vertical to 2\angle 2 ? 4\angle 4 1\angle 1 3\angle 3 5\angle 5

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Problem 2990

12. Identify the graph of the system of linear inequalities. y<1x>4\begin{array}{l} y<-1 \\ x>4 \end{array}
No solution
Identify a solution. (4,6)(4,-6) (6,4)(6,4) (4,6)(4,6) No solution (6,4)(6,-4) (4,4)(-4,-4)

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Problem 2991

A proton is roughly 1800 times more massive than an electron. If a proton and an electron are traveling at the same speed, the wavelength of the photon will be about (1800)1/2(1800)^{1 / 2} times longer than the wavelength of the electron. the wavelength of the photon will be about 1800 times longer than the wavelength of the electron. the wavelength of the photon will be roughly equal to the wavelength of the electron. the wavelength of the electron will be about (1800)1/2(1800)^{1 / 2} times longer than the wavelength of the photon. the wavelength of the electron will be about 1800 times longer than the wavelength of the photon.

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Problem 2992

18 Mark for Review \begin{tabular}{|c|c|c|c|c|c|c|} \hlinexx & 0 & 2 & 4 & 6 & 8 & 10 \\ \hlinef(x)f^{\prime}(x) & -1 & 0 & -2 & 3 & 0 & -1 \\ \hlinef(x)f^{\prime \prime}(x) & 8.333 & -1.900 & 0.971 & -0.304 & 0.400 & -4.167 \\ \hline \end{tabular}
Let ff be a twice-differentiable function. Selected values of ff^{\prime} and ff^{\prime \prime} are shown in the table above. Which of the following statements are true? I. ff has neither a relative minimum nor a relative maximum at x=2x=2. II. ff has a relative maximum x=2x=2. III. ff has a relative maximum x=8x=8. (A) Ionly (B) II only (C) III only (D) I and III only

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Problem 2993

\begin{tabular}{|c|c|c|} \hline 0.3737370.373737 \ldots & O Yes O No \begin{array}{l} \mathrm{O} \text { Yes } \\ \mathrm{O} \text { No } \end{array} & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline 0.63758... &  Yes  No \begin{array}{l} \text { Yes } \\ \text { No } \end{array} & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline 0.222 &  O Yes  O No \begin{array}{l} \text { O Yes } \\ \text { O No } \end{array} & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline 0.230.2 \overline{3} &  O Yes  N No \begin{array}{l} \text { O Yes } \\ \text { N No } \end{array} & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline \end{tabular}

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Problem 2994

or Variance Question 5, 8.4.12-T Part 2 of 4 HW Score: 56.31\%, 3.94 of 7 points Points: 0 of 1 Save
A simple random sample of 29 filtered 100mm100-\mathrm{mm} cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.20 mg . Use a 0.05 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.30 mg , which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? A. H0:σ>0.30mg\mathrm{H}_{0}: \sigma>0.30 \mathrm{mg} B. H0:σ=0.30mgH_{0}: \sigma=0.30 \mathrm{mg} H1:σ0.30mgH_{1}: \sigma \leq 0.30 \mathrm{mg} H1:σ<0.30mgH_{1}: \sigma<0.30 \mathrm{mg} C. H0:σ=0.30mg\mathrm{H}_{0}: \sigma=0.30 \mathrm{mg} H1:σ0.30mg\mathrm{H}_{1}: \sigma \neq 0.30 \mathrm{mg}  D. H0:σ0.30mgH1:σ=0.30mg\text { D. } \begin{aligned} H_{0}: \sigma \neq 0.30 \mathrm{mg} \\ H_{1}: \sigma=0.30 \mathrm{mg} \end{aligned} b. Find the test statistic. χ2=\chi^{2}= \square (Round to three decimal places as needed.) Clear all Check answer Get more help 7:55 PM

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Problem 2995

I'm sorry, I cannot assist with that.

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Problem 2996

8x6y=572x+54y=45\begin{aligned} 8 x-6 y & =5 \\ -72 x+54 y & =-45\end{aligned} system or - equations 55 \quad (1) \qquad (2)
4. The solution to this system is c. There is no solution. which solution. solutions. \square the 0_{0} \qquad Choices \qquad nd fill \qquad \qquad present in 2^{2} Which of the statem ments ss below is \qquad
The graphs intersect at one point hever intersect. \square so the solution is unique.

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Problem 2997

Let ff be the function defined by f(x)=3x2x3f(x)=3 x^{2}-x^{3}. What is the absolute minimum value of ff on the closed interval [1,52]\left[1, \frac{5}{2}\right] ? (A) 0 (B) 2 (C) 258\frac{25}{8} (D) 4

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Problem 2998

竛, Which angles are vertical to each other?

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Problem 2999

20 Mark for Review
Let gg be the function given by g(x)=3x48x3g(x)=3 x^{4}-8 x^{3}. At what value of xx on the closed interval [2,2][-2,2] does gg have an absolute maximum? (A) -2 (B) 0 (C) 2 (D) 83\frac{8}{3}

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Problem 3000

Unit4 Quin3 Geometin A-2-Fall-PHS-Smiturick Robert/Unit 4-Introduction to Polygans and Triangles
What theorenterus orcorollay is represented by the picture? The bold lines in the plotures represent the hypothesis of the theorem or corollay. \qquad The sides are bold; the angles are not bold. लPलाC Corollary 2 of the isosceles Thiangle Theorem Isosceles Tiangle Theorem

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