Word Problem

Problem 8201

2. $2 \%$ of newly manufactured processors have damaged cores. A laptop with a damaged core overheats; overheating also appears in $0.002 \%$ of laptops with fully functional cores. We assume that malfunctions in different laptops are independent. a) A laptop overheats. What is the chance that it has a damaged core? b) A client bought two laptops, and both of them overheated. What is the probability that at least one of them has a damaged core? c) Using the Poisson theorem, approximate the probability that among 200 overheating laptops which were serviced in a repair shop, at most 2 were equipped with a fully functional processor.

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Problem 8202

Число, яке дорівнює (балів: 0.5) $(-1)^{i+j} M_{i j}$ називаеться алгебрачїним доповненням елемента $a_{i j}$ визначника $\triangle$ мінором елемента $a_{i j}$ визначника $\triangle$

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Problem 8203

Question 5
Consider a triangle $A B C$ like the one below. Suppose that $A=127^{\circ}, b=37$ , and $c=22$ . (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

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Problem 8204

21 22 23 24 25
If $x=-3$ is the only $x$ -intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is negative. The discriminant is -3 . The discriminant is 0 . The discriminant is positive. Mark this and return Save and Exit Next Submit

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Problem 8205

21 22 23 24 25 areg is in a car at the top of a roller-coaster ride. The distance, $d$ , of the car from the ground as the car descends is letermined by the equation $d=144-16 t^{2}$ , where $t$ is the number of seconds it takes the car to travel down to each oint on the ride. For which interval of time is Greg's car moving in the air? $0<t \leq 3$ $-3<t \leq 3$ $t>3$ $0<t<3$ hark this and return Save and Exit Next Submit

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Problem 8206

The distribution of weights of 9-ounce bags of a particular brand of potato chips is approximately normal. The mean is 9.06 ounces and the standard deviation is 0.09 ounces.
Use the Empirical Rule (68-95-99.7 Rule) to answer the questions below. The percentage of bags weighing between 8.97 and 9.15 ounces is 68 $\square$ $0 \%$
The percentage of bags weighing between 8.97 and 9.06 ounces is 34 $\square$ $0 \%$ .
The percentage of bags weighing less than 8.97 ounces is $\square$ 16 $0 \%$ .
The percentage of bags weighing more than 9.24 ounces is $\square$ \%. Enter an integer or decimal number [more..]

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Problem 8207

3. When going to lunch, a student chooses randomly one of three cafeterias $C_{1}, C_{2}, C_{3}$ , with probabilities $2 p, p$ and $1-3 p$ , respectively $(p \in(0,1 / 3)$ is a fixed parameter). We assume that students choose cafeterias independently of each other and that choices on different days are also independent. a) In order to approximate $p, 10$ students were asked how many times they chose cafeteria $C_{1}$ during the previous 5 days. The answers were: $0,0,0,1,1,1,1,2,2,4$ . For which $p$ will the empirical mean connected with the sample be equal to the expected value of the number of choices of cafeteria $C_{1}$ ? b) Let us assume that the queueing times in cafeterias $C_{1}, C_{2}$ and $C_{3}$ (measured in minutes) are random variables from exponential distributions with parameters $1,1 / 2$ and $1 / 3$ , respectively. During the next 30 days, a student plans to visit cafeteria $C_{1} 15$ times, cafeteria $C_{2} 10$ times, and cafeteria $C_{3} 5$ times. Calculate the expected value of the total amount of time (in minutes) which will be spent on queueing during those 30 days.

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Problem 8208

26 Een onbekende verbinding heeft een molaire massa $\operatorname{van} 90,1 \mathrm{~g} \mathrm{~mol}^{-1}$ . De samenstelling van deze verbinding wordt in een laboratorium bepaald. De stof blijkt voor 40,0 massa\% uit koolstof te bestaan, voor 6,7 massa\% uit waterstof en voor 53,3 massa\% uit zuurstof. a Bereken hoeveel gram koolstof, waterstof en zuurstof in een mol van de onbekende stof zit.

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Problem 8209

EXAMPLE: Determine the total number of ions that will be present in the precipitate formed when a solution with 20.00 grams of barium nitrate reacts with a solution containing excess potassium phosphate.

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Problem 8210

1. Two dice are rolls simultaneously. Determine the probability that: a) the number 6 will come out at least once. b) the sum of two numbers greater than 8.

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Problem 8211

Click on the word/phrase that would correctly complete the sentence.
You $\qquad$ take the log of a negative number. can cannot will Should not

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Problem 8212

Which of these shows the phrase "x multiplied by 4 " written as an algebraic expression? (a) $4 x$ (b) $4+x$ (C) $4-x$ (d) $4+x$

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Problem 8213

Jrag the four numbers into the boxes to show a correct comparison of the numbers. ? 1.222 $\square$ $\square$ $\square$ $\square$ 1.205 1.335 1.35

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Problem 8214

Lupe's bedroom floor is a rectangle with an area of 195 square feet. The floor is 15 feet long. What is the width of Lupe's bedroom floor? (a) 12 feet (b) 13 feet (C) 14 feet (d) 15 feet

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Problem 8215

السؤال: تعمل شركة "النور" في بيع الأجهزة الإلكترونية، وقد أنهت سنتها المالية في ال ديسمبر. وطلب منك إعداد التسويات الجردية التالية بناءً على المعلومات المتوفرة. صبانة لبعض العملاء بقبمة . . , , د دينار، ولم يتم إصدار فو انثر بها أو تحصبلها حتى الآن.
المصروفات المستحقة: الشركة لديها مصروفات كهرباء وماء متر اكمة لم يتم دفعها حتى نهاية العام بقيمة • ٢, • دينار .
الإبر ادات المقدمة: كانت الشركة قد حصلت على دفعة مقدمة من أحد العملاء بقيمة . . , , . د دينار مقابل نوريد أجهزة سينم تسليمها في العام المقبل.
المصروفات المدفو عة مقدماً: في ابوليو، قامت الشركة بدفع إيجار مقدم لمدة سنة كاملة بقيمة . . . 7, دينار.
اهلاك الأصول الثابتة: تمنالك الشركة معدات تبلغ فيمتها . . ., . 0 دينار، ويقدر العمر الإنتاجي لهذه المعدات بـ • ( سنوات بدون فيمة متبقية.
المطلوب: إعداد قيود النسويات الجردية اللازمة لكل حالة.

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Problem 8216

courses Chapter 12: Homework
Question 1 of 10
ViewPolicies
Current Attempt in Progress Each of these items must be considered in preparing a statement of cash flows for Irvin Co. for the year ended December 31, 2027. For each item, state how it should be shown in the statement of cash flows for 2027. (a) Issued bonds for $\$ 200,000$ cash. (b) Purchased equipment for $\$ 180,000$ cash. (c) Sold land costing $\$ 20,000$ for $\$ 20,000$ cash. (d) Declared and paid a $\$ 50,000$ cash dividend.

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Problem 8217

Current Attempt in Progress Classify each item as an operating, investing, or financing activity. Assume all items involve cash unless there is information to the contrary. (a) Purchase of equipment. (b) Proceeds from sale of building. (c) Redemption of bonds payable. (d) Cash received from sale of goods. (e) Payment of dividends. (f) Issuance of common stock. Attempts: 0 of 3 used Submit Answer

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Problem 8218

A particle moves along the $x$ -axis with velocity given by $v(t)=4 \pi \cos (\pi t)$ for time $t \geq 0$ . If the particle is at position $x=1$ at time $t=2$ , what is the position of the particle at time $t=\frac{5}{6}$ ?

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Problem 8219

Provide an appropriate response. A medical researcher is interested in determining if there is a relationship between adults over 50 who walk regularly and low, moderate, and high blood pressure. A random sample of 236 adults over 50 is selected and the results are given below. Find the critical value $x_{0}^{2}$ to test the claim that walking and low, moderate, and high blood pressure are not related. Use $\alpha=0.01$ . \begin{tabular}{l|ccc} Blood Pressure & Low & Moderate & High \\ \hline Walkers & 35 & 62 & 25 \\ Non-walkers & 21 & 65 & 28 \end{tabular} 9.348 9.210 6.251 0.584

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Problem 8220

11. Provide a trigonometric equation. Considering only the space between $x=0$ and $2 \pi$ , the equation must only have solutions at $x=1$ and $x=2$ . Explain your thought process and the work you did to create the equation. You may round decimal values to 3 places. [ 6 marks]

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Problem 8221

You estimate that you can afford a monthly mortgage payment of $\$ 354.31$ . If you choose a 25 -year mortgage at $11.9 \%$ interest compounded monthly, what is the price of the house you can afford?
The price of the you can afford is $\$$ $\square$ (Do not round until the final answer. Then round to the nearest dollar as needed.)

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Problem 8222

Using the pencil, plot the point $(6,-6)$ .

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Problem 8223

mylab.pearson.com Course: 24/FA College Algebra (... My Courses Pearson MyLab and Mastering Homework, and Quizzes Chapter 1 Quiz Fatima Alhindawy \& | 11/30/24 1:10 PM Question 1 of 11 This quiz: 11 point(s) possible This question: 1 point(s) possible Submit quiz
Write the set $\{x \mid x<4\}$ using interval notation, then graph the set on a number line.
Choose the correct interval notation for the set. $(4, \infty)$ $[4, \infty)$ $(-\infty, 4]$ $(-\infty, 4)$ Choose the correct graph below. A. B. c. D.

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Problem 8224

This question: 1 point(s) possible Submit quiz
For the linear function $f(x)=2-\frac{1}{6} x$ ; (a) evaluate $f(-6)$ and $f(12)$ ; (b) find the zero of $f$ ; and $(c)$ graph $f$ . How can the graph of $f$ be used to determine the zero of $f$ ? (a) $f(-6)=$ $\square$ (Type an integer or a simplified fraction.) $f(12)=$ $\square$ (Type an integer or a simplified fraction.) (b) The zero of $f$ is $\square$ . (Type an integer or a simplified fraction.) (c) Choose the correct graph below. A. B. c. D.
How can the graph of $f$ be used to determine the zero of $f$ ? A. Determine the zero of $f$ by finding the $y$ -coordinate of the point where the line intersects the $y$ -axis. B. Determine the zero of $f$ by finding the $x$ -coordinate of the point where the line intersects the $y$ -axis. C. Determine the zero of $f$ by finding the $y$ -coordinate of the point where the line intersects the $x$ -axis. D. Determine the zero of $f$ by finding the $x$ -coordinate of the point where the line intersects the $x$ -axis.

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Problem 8225

Suppose that $\$ 2000$ is loaned at a rate of $10.5 \%$ , compounded monthly. Assuming that no payments are made, find the amount owed after 3 years. Do not round any intermediate computations, and round your answer to the nearest cent. $\$ \square$ $\square$

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Problem 8226

Question 10
A population numbers 14,000 organisms initially and decreases by $9 \%$ each year. A) Suppose $P$ represents population, and $t$ the number of years of decrease. Write an exponential model to represent this situation. $P=$ B) What will the population $P$ be in 13 years? Round to two decimal places. $P=$ Question Help: Video 1 Video 2 Message instructor Post to forum Submit Question

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Problem 8227

Which of the given sentences about stating hypotheses is true? Both $H_{a}$ or $H_{0}$ could contain the equality. $H_{a}$ can contain the equality. $H_{0}$ always contains the equality.

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Problem 8228

Suppose the weights of seventh-graders at a certain school vary according to a Normal distribution, with a mean of 100 pounds and a standard deviation of 7.5 pounds. A researcher believes the average weight has decreased since the implementation of a new breakfast and lunch program at the school. She finds, in a random sample of 35 students, an average weight of 98 pounds.
What is the $P$ -value for an appropriate hypothesis test of the researcher's claim? $-1.578$ 0.057 0.115 0.943

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Problem 8229

(I) How much work is done by the gravitational force when a $280-\mathrm{kg}$ pile driver falls 3.80 m ?

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Problem 8230

(I) How high will a $1.85-\mathrm{kg}$ rock go if thrown straight up by someone who does 70.0 J of work on it? Neglect air resistance.

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Problem 8231

(I) A 55.0-kg firefighter climbs a flight of stairs 28.0 m high at constant speed. How much work does she do?

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Problem 8232

(I) The head of a hammer with a mass of 1.2 kg is allowed to fall onto a nail from a height of 0.65 m . What is the maximum amount of work it could do on the nail? Why do people not just "let it fall" but add their own force to the hammer as it falls?

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Problem 8233

(II) How much work would movers do pushing a $46.0-\mathrm{kg}$ crate 10.3 m horizontally across a rough floor without acceleration, if the effective coefficient of friction was 0.40 ?

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Problem 8234

(II) A $1200-\mathrm{N}$ crate rests on the floor. How much work is required to move it at constant speed (a) 6.0 m along the floor against a friction force of 230 N , and (b) 6.0 m vertically?

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Problem 8235

7. (II) (a) What magnitude force is required to give a helicopter of mass $M$ an acceleration of 0.10 g upward? (b) What work is done by this force as the helicopter moves a distance $h$ upward?

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Problem 8236

(II) What is the minimum work needed to push a $950-\mathrm{kg}$ car 510 m up along a $9.0^{\circ}$ incline? Ignore friction.

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Problem 8237

9. (II) Estimate the work you do to mow a lawn 10 m by 20 m with a $50-\mathrm{cm}$ -wide mower. Assume you push with a horizontal force of about 15 N .

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Problem 8238

Question 9 of 11 This quiz: 11 point(s) possible This question: 1 point(s) possible
Write the set $\{x \mid x<4\}$ using interval notation, then graph the set on a number line.
Choose the correct interval notation for the set. $[4, \infty)$ $(-\infty, 4)$ $(4, \infty)$ $(-\infty, 4]$ Choose the correct graph below. A. B. C. D.

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Problem 8239

10. (II) In a certain library the first shelf is 15.0 cm off the ground, and the remaining four shelves are each spaced 38.0 cm above the previous one. If the average book has a mass of 1.25 kg with a height of 22.0 cm , and an average shelf holds 28 books (standing vertically), how much work is required to fill all the shelves, assuming the books are all laying flat on the floor to start?

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Problem 8240

If you wanted a more accurate way to fit the trend line to the data, a method called least squares could be used. This method finds the largest distance between the data points and the trend line.
Select one: a. TRUE b. FALSE

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Problem 8241

(II) A lever such as that shown in Fig. 7-20 can be used to lift objects we might not otherwise be able to lift. Show that the ratio of output force, $F_{\mathrm{O}}$ , to input force, $F_{\mathrm{I}}$ , is related to the lengths $\ell_{\mathrm{I}}$ and $\ell_{\mathrm{O}}$ from the pivot by $F_{\mathrm{O}} / F_{\mathrm{I}}=\ell_{\mathrm{I}} / \ell_{\mathrm{O}}$ . Ignore friction and the mass of the lever, and assume the work output equals the work input. (a)
FIGURE 7-20 A lever. Problem 11. (b)

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Problem 8242

(II) A box of mass 4.0 kg is accelerated from rest by a force across a floor at a rate of $2.0 \mathrm{~m} / \mathrm{s}^{2}$ for 8.0 s . Find the net work done on the box.

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Problem 8243

(II) Eight books, each 4.0 cm thick with mass 1.6 kg , lie flat on a table. How much work is required to stack them one on top of another?

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Problem 8244

(II) A gondola can carry 20 skiers, with a total mass of up to 2250 kg . The gondola ascends at a constant speed from the base of a mountain, at 2150 m , to the summit at 3625 m . (a) How much work does the motor do in moving a full gondola up the mountain? (b) How much work does gravity do on the gondola? (c) If the motor could generate $10 \%$ more work than found in $(a)$ , what is the acceleration of the gondola?

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Problem 8245

(II) A grocery cart with mass of 16 kg is pushed at constant speed up a $12^{\circ}$ ramp by a force $F_{\mathrm{P}}$ which acts at an angle of $17^{\circ}$ below the horizontal. Find the work done by each of the forces $\left(m \overrightarrow{\mathbf{g}}, \overrightarrow{\mathbf{F}}_{\mathrm{N}}, \overrightarrow{\mathbf{F}}_{\mathrm{P}}\right)$ on the cart if the ramp is 7.5 m long.

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Problem 8246

(II) A 380-kg piano slides 4.6 m down a $30^{\circ}$ incline and is kept from accelerating by a man who is pushing back on it parallel to the incline (Fig. 7-21). Determine: (a) the force exerted by the man, (b) the work done on the piano by the man, (c) the work done on the piano by the force of gravity, and $(d)$ the net work done on the piano, Ignore friction.
FIGURE 7-21 Problem 16.

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Problem 8247

A researcher believes, among other things, the town one lives in within the state influences the likelihood of contracting cancer. He has data from three towns and has decided to code the towns as follows $X=$ Town, where: $X=0$ if C'burg, $X=1$ if B'burg; $X=2$ if L'burg. This is an appropriate means for including qualitative data into his analysis.
Select one: a. TRUE b. FALSE

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Problem 8248

Briefly summarize each of the four fairness criteria. For each one, give an example that describes why an election would be unfair if the criterion were violated.
Describe the first of the four criteria. Fill in the correct answer below. If a candidate receives a majority of the first-place votes, that candidate should be the winner. Give an example that describes why an election would be unfair if this criterion were violated Choose the correct answer below. A. Under this criterion, an election would be unfair if no candidate received a majority vote. B. Under this criterion, an election would be unfair if a candidate other than the one who receives a majority of the first-place votes wins. C. Under this criterion, all elections would be fair.
Describe the second of the four criteria. Fill in the correct answer below. If a candidate is favored over every other candidate in pairwise races, that candidate $\square$ should be declared the winner.
Give an example that describes why an election would be unfair if this criterion were violated. Choose the correct answer below. A. Under this criterion, an election would be unfair if no candidate was favored over every other candidate in pairwise races. B. Under this criterion, an election would be unfair if a candidate other than the one who is favored over every other candidate in pairwise races wins. C. Under this criterion, all elections would be fair

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Problem 8249

Question 6 Not yet answered Marked out of 2.00 Which of the following is not a business transaction? Answer a. Purchase of goods for business. b. Payment of house tax belonging to owner c. Sale of goods. $\bigcirc$ d. Payment of sales tax

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Problem 8250

Complete the sentence below. If every horizontal line intersects the graph of a function at no more than one point, $f$ is $a(n)$ $\qquad$ function.
If every horizontal line intersects the graph of a function at no more than one point, $f$ is $a(n)$ $\square$ function. composite inverse one-to-one

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Problem 8251

1. The pH of a $6.81 \times 10^{-2} \mathrm{M}$ solution of a weak monoprotic acid is 5.28 . Calculate the percent dissociation of the acid to 3 significant figures. \% Submit Answer Tries 0/99

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Problem 8252

A person is standing 40 ft away from a street light that is 30 ft tall and casts a shadow that is 50 feet long. How tall is the person if his shadow is $10 . \mathrm{ft}$ long?

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Problem 8253

María Victoria planted two tree saplings in her garden on the same day. One tree sapling started out 25 inches tall and grew at a rate of 0.75 inches per week. Another tree sapling started out 30 inches tall and grew at a rate of 0.5 inches per week.
After how many weeks were the two tree saplings the same height? $\qquad$ weeks
How tall were the saplings at this time? $\qquad$ inches Question Help: Message instructor

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Problem 8254

horizontal 1.10 A stunt rider is propelled upward from his motorbike by a spring loaded ejector seat. The rider was travelling horizontally at $60 \mathrm{~km} \mathrm{~h}^{-1}$ when the ejector seat was triggered, and as they leave the seat they are travelling with a vertical velocity of $15 \mathrm{~m} \mathrm{~s}^{-1}$ . The seat is 1.0 m off the ground. (a) What is the initial velocity of the stunt rider (in $\mathrm{km} \mathrm{h}^{-1}$ )? (b) How high does the stunt rider reach? (c) How far along the track does the stunt rider land on the ground? (d) What is the velocity of the stunt rider when they hit the ground (in $\mathrm{km} \mathrm{h}^{-1}$ )?

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Problem 8255

a ball is drawn randomly from a jar that contains 13 ed balls, 16 green balls, and 9 blue balls, find the probability of the following events.
You may answer using a fraction or decimal rounded to three places. (a) A red ball is drawn: $\square$ (b) A green ball is drawn: $\square$ (c) A blue ball is drawn: $\square$ (d) A black ball is drawn: $\square$ (e) A red or green ball is drawn: $\square$

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Problem 8256

3. Steel expands 11 parts in a million for each 1 degree Celsius change. Think about the 1.3 km main span of steel for the Golden Gate Bridge. If the span had no expansion joints, show that the span would be 0.21 m longer for a 15 degree Celsius increase in temperature. (Use the formula: change in $L=($ "coefficient of expansion")( initial $L$ )( change in $T$ ) ).

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Problem 8257

RIANGLE SUM CONJECTURE The sum of the measures of the angles of every triangle is $\qquad$ .
ISOSCELES TRIANGLE CONJECTURE If a triangle is isosceles then the base angles are $\qquad$

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Problem 8258

Practice: GCF and LCM - Quiz - Level F
Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item.
How many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time? $\square$ minutes

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Problem 8259

4. At a certain location, the solar power per unit area reaching Earth's surface is 200 W/ $\mathrm{m}^{\wedge} 2$ , averaged over a 24 -hour day. If the average power requirement in your home is 3 kW and you can convert solar power to electric power with $10 \%$ efficiency, how large a collector area will you need to meet all your household energy requirements from solar energy? (Will a collector fit in your yard or on your roof? ).

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Problem 8260

Translate each graph as specified below. (a) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=x^{2}+1$ . (b) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=(x+5)^{2}$ .

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Problem 8261

Example. $A$ sinusoidal function has an amplitude of 2 units, a period of $180^{\circ}$ and a maximum at $(0,3)$ . Write a possible equation for this function.

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Problem 8262

Depth A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. Water is flowing into the tank at a rate of 10 cubic feet per minute. Find the rate of change of the depth of the water when the water is 8 feet deep.

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Problem 8263

Price
Quantity
1. Will the country import or export wheat if they decide to trade?
Import
2. How much will this country import/export if they decide to trade? $\square$
3. Calculate the gains from trade if the country decides to trade. $\square$
4. What is autarky price in this case? $\square$

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Problem 8264

Monica is a manufacturer of handcrafted wooden signs. The variable cost of each wooden sign Monica produces is $\$ 40$ . Monica sells her wooden signs to a wholesaler at a 50\% margin, who then sells the wooden signs to the retailer at an undisclosed markup(\%). The retailer then adds a 30\% margin and sells the product to the consumer at \$160. Based on this information, what is the markup (\%) of the wholesaler?

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Problem 8265

The function $\mathrm{D}(\mathrm{h})=7 e^{-0.64 h}$ can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug has been administered. How many milligrams will be present after 1 hour? After 11 hours?
After 1 hour, there will be $\square$ milligrams. (Round to two decimal places as needed.)

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Problem 8266

5. Returns from stocks in a certain market are modeled by variables with a Laplace distribution.

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Problem 8267

Eric has been producing and selling specialized sports gears for hockey through Amazon. The variable costs of his "Supreme Hockey Skates" is $\$ 700$ , which he sells at a $40 \%$ markup. This month, he is interested in clearing his inventory of the Supreme Hockey Skates to make space for a new product he wants to sell. So, he went on the Amazon website and reduced the price of the Supreme Hockey Skates by $40 \%$ . Before he noticed his mistake, he had already sold 20 units. What is the total amount of margin(\ $) he made from these transactions?$ \ $2240$ $-\$ 2240$ -\ $5600$ \ $5600$

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Problem 8268

Peter buys a campervan costing $£ 55000+20 \%$ VAT. He pays a $50 \%$ deposit and then arranges to pay the remaining balance in 20 equal monthly installments.
Calculate the amount paid each month by Peter. Optional working

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Problem 8269

Complete the statement if $\triangle B I G \cong \triangle T O P$ .
9. $\overline{I G} \cong$ $\qquad$ 10. $\qquad$ $\cong$ TO
11. $\angle I \cong$ $\qquad$
12. $\qquad$ $\cong m \angle P$
13. $\triangle \mathrm{IBG} \cong$ $\qquad$ 14. $\qquad$ $\cong \triangle \mathrm{OPT}$

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Problem 8270

Find the margin of error for the given values of $\mathrm{c}, \mathrm{s}$ , and n . $c=0.99, s=6, n=23$
Click the icon to view the t-distribution table.
The margin of error is $\square$ (Round to three decimal places as needed.)

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Problem 8271

You have just turned 23 years of age and accepted your first job. However, you would like to retire at 59 years of age Having paid attention in your business courses, you have calculated that you will need to save $\$ 2$ million dollars by a 59 to retire comfortably. How much must you put into your retirement savings account each year (at the end of the year) between now and age 59 (assume an interest rate of $5 \%$ annually)?
You must put \\square$ into your retirement savings account each year. (Round the final answer to cent as needed. Keep all decimal places as you work through the problem.)

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Problem 8272

(1 point) Find the volume of the solid that results when the region bounded by $y=\sqrt{x}, y=0$ and $x=9$ is revolved about the line $x=9$ . Volume $=$ $\square$

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Problem 8273

Find the volume of the solid obtained by rotating the region bounded by the curves $y=x^{2}, \quad y=1$ about the line $y=2$ .
Answer: $\square$

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Problem 8274

5-On dilue 5 fois une solutiun aqueuse d'acide chlorhycrique de pH-4,7 Quel est le pH de la solution fimale?
6-Quel est le pil d'une solution de $\mathrm{Ba}(\mathrm{OH})_{2}$ ant 0.01 M ? $7-\mathrm{On}$ introduit 5 ml de NaOH (a4) 0.1 ml dans 20 ml d'une solution aqueuse conteriant du $\mathrm{Ba}(\mathrm{OH})_{2} 0,01 \mathrm{M}$ ct du $\mathrm{KOH} 0,01 \mathrm{M}$ . Quel et le pH de la solution finale? 8-Une solution qqueuse de trialkylammonium, a la concentration de 10 mmol ${ }^{-1}$ a un pH de 6,5 . Quel est le pKa de fa trialkylamine? 9.sline solution aqueuse d'acide R-COOH a 100 mmol Fi donne un pH de 2,35. Quelle est la constante d'acidite de R-COOH?

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Problem 8275

mutant gene is $8 \%$ in the population. If the probability that a randomly chosen woman will develop breast cancer is 0.1 , then what is the probability that a randomly chosen breast cancer patient in this population will carry the mutant BRCA1 gene? $\square$
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8. [-/1 Points]
DETAILS MY NOTES SCALCLS1 12.3.060. ASK YOUR TEACHER PRACTICE ANOTHER
DNA evidence is often used in criminal trials. Suppose a murder has been committed and the perpetrator's blood is found at the crime scene. DNA from the blood is analyzed and it is found that the probability of an innocent person having DNA that matches is $10^{-9}$ . Let $M$ be the event 'DNA match' and $I$ be the event 'innocent'. Therefore, we have $P(M \mid I)=10^{-9}$ . What is really of interest is the quantity $P(I \mid M)$ , the probability that a person whose DNA matches is innocent. Calculate this quantity if the community has 1000 people, and therefore the probability that a randomly chosen person is innocent is $P(I)=999 / 1000$ . You can assume that the probability of a match for the guilty person is 1 (that is, $P\left(M \mid I^{\prime}\right)=1$ ). (Round your answer to three decimal places.) $\square$ $\times 10^{-7}$
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Problem 8276

Which equation gives the value of the circumference, $C$ , of a circle with a diameter of 48 feet? CLEAR CHECK $C=\pi \cdot 48^{2}$ $C=48 \cdot \pi$
$C=\frac{48}{\pi}$ $C=24 \cdot \pi$

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Problem 8277

(1 point)
A $1000-\mathrm{lb}$ wrecking ball hangs from a 50 - ft cable of density $10 \mathrm{lb} / \mathrm{ft}$ attached to a crane. Calculate the work done if the crane lifts the ball from ground level to 50 ft in the air by drawing in the cable. $W=$ $\square$ ft-lbs.

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Problem 8278

(1 point) A force of 1 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 1 feet beyond its natural length? $\square$ Preview My Answers Submit Answers
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Problem 8279

A chain 63 meters long whose mass is 27 kilograms is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the top 5 meters of the chain to the top of the building? Use that the acceleration due to gravity is 9.8 meters per second squared. Your answer must include the correct units.
Work = $\square$

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Problem 8280

The ratios of corresponding sides in the two triangles are equal.
What other information is needed to prove that $\triangle F G E$ $\sim \triangle \mathrm{IJH}$ by the SAS similarity theorem? $\angle F \cong \angle J$ $\angle I \cong \angle F$ $\angle E \cong \angle H$ $\angle G \cong \angle I$

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Problem 8281

Which would prove that $\triangle A B C-\triangle X Y Z$ ? Select two options. $\frac{B A}{Y X}=\frac{B C}{Y Z}=\frac{A C}{X Z}$ $\frac{B A}{Y X}=\frac{B C}{Y Z}, \angle C \geq \angle Z$ $\frac{A C}{x z}=\frac{B A}{y x}, \angle A \cong \angle x$ $\frac{B A}{Y X}=\frac{A C}{Y Z}=\frac{B C}{X Z}$ $\frac{B C}{X Y}=\frac{B A}{Z X}, \angle C \approx \angle X$

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Problem 8282

Score: 1/2 Penalty: none Linear Functions Complete: 50\%
Question Show Examples near Graph in Context (MC)
Nora needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee of $\$ 100$ plus an hourly fee of $\$ 50$ . Write an equation for $P$ , in terms of $t$ , ation Given Linear Situation representing the amount of money Nora would have to pay to use the studio for $t$ hours. inear Function Coefficients Iation)

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Problem 8283

Determine the number of triangles $A B C$ possible with the given parts. $A=42.8^{\circ} \quad a=8.9 \quad b=10.1$
How many possible solutions does this triangle have? $\square$

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Problem 8284

\begin{problem} A plane flying at an altitude of 4 miles travels on a path directly over a radar tower.
(a) Express the distance $d(t)$ (in miles) between the plane and the tower as a function of the angle $t$ in standard position from the tower to the plane.
$d(t) = \square \csc \square \square \sin [$ \end{problem}

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Problem 8285

A 0.750 kg object vibrates at the end of a horizontal spring ( k $=995 \mathrm{~N} / \mathrm{m}$ ) along a frictionless surface. The speed of the object is $2.50 \mathrm{~m} / \mathrm{s}$ when its displacement is 0.145 m . What is the maximum displacement of the object?

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Problem 8286

Use the following information to complete steps (a) through (d) below. A random sample of $n_{1}=125$ individuals results in $x_{1}=40$ successes. An independent sample of $n_{2}=150$ individuals results in $x_{2}=60$ successes Does this represent sufficient evidence to conclude that $p_{1}<p_{2}$ at the $\alpha=0.05$ level of significance? c. $H_{0}: p_{1}>p_{2} ; H_{1}: p_{1}<p_{2}$ D. $H_{0}: p_{1}=p_{2} ; H_{1}: p_{1}<p_{2}$ (c) Use technology to calculate the P -value. 0.085 (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below.
A. There is not sufficient evidence to reject the null hypothesis because the $P$ -value $>\alpha$ .
B. There is sufficient evidence to reject the null hypothesis because the $P$ -value $<\alpha$ . C. There is not sufficient evidence to reject the null hypothesis because the $P$ -value $<\alpha$ . D. There is sufficient evidence to reject the null hypothesis because the $P$ -value $>\alpha$ .

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Problem 8287

rg
4 Put the numbers below in ascending order. 43172 42893 39703 42561 $\square$ $\square$ $\square$ $\square$

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Problem 8288

Mixed Practice in these questions. (6) Make each of the following calculations correct using either + or -. $-2$ $\square$ $8=-10$ $-6=-11$ $\square$ 5 $\qquad$ 2 marice

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Problem 8289

Assume that life insurance covers a period of $n$ years from the moment the contract is signed. If the insured person dies during this period, the so-called sum insmed is paid. If death does not occur during this time, the contract ends without any payout. Suppose that the premium for this msurance is calculated as $101 \%$ of the expected value of the payout. Find the formula for the preminm if the insured person's lifetime is a random variable with an exponential distribution with parameter $\lambda>0$ , and the sum insured is $․$

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Problem 8290

here are 6 red marbles and 8 blue marbles in a bag. (a) What is the ratio of all marbles in the bag to red marbles? (b) What is the ratio of all marbles in the bag to blue marbles?

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Problem 8291

๓ |x|.com/math/grade-5/place-values-in-decimal-numbers oldadobe.org bookmarks Seesaw Race Now - 100\% Fr... Login Failed I Prodi.. The Great Ghoul Du. uc DN My IXL Learning Fifth grade W. 4 Place values in decimal numbers X8U Assessment Analytics
部? In $8,264.73$ , in which place is the 2 ? Video () thousands hundreds hundredths tens Submit Work it out Not feeling ready yet? These can help: Understanding decimals expressed in words Lesson: Decimal place value

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Problem 8292

Find the final amount of money in an account if $\$ 3,800$ is deposited at $7 \%$ interest compounded weekly and the money is left for 9 years. Use $A=P\left(1+\frac{r}{n}\right)^{n t}$ . (Hint: There are 52 weeks in a year.)
The final amount is $\$$ $\square$ - Round answer to 2 decimal places

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Problem 8293

What is $40 \%$ of $27 ?$

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Problem 8294

Level 1 Question 1 Use what you know about Pythagoras' Theorem to write an equation which describes the relationship between the sides of this triangle. Simplify and solve your equation.
Question 2 A triangle has a base length of $(x-1) \mathrm{cm}$ and a height of $(x+1) \mathrm{cm}$ . Find its height if it has an area of $7 \mathrm{~cm}^{2}$ 。
Question 3 A rectangle has perimeter 20 cm and area $21 \mathrm{~cm}^{2}$ . What are its dimensions, in centimetres? (A) 1 and 20 (B) 4 and 6 (C) 9 and 2 (D) 3 and 7 (E) 6 and $3 \frac{1}{2}$
Question 4 The formula for the number of diagonals, $N$ , of a polygon with $n$ sides is $N=\frac{n(n-3)}{2}$ . How many diagonals would a polygon with 23 sides have?

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Problem 8295

The half-life of Radium-226 is 1590 years. If a sample contains 100 mg , how many mg will remain after 1000 years?

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Problem 8296

D 4 Q My IXL Learning Assessment Analytics Fifth grade W. 4 Place values in decimal numbers XBU [a. In 274.85, which digit is in the hundreds place? $\square$ Submit

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Problem 8297

(x) In 389.17, which digit is in the tens place?

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Problem 8298

th grade $>$ W. 4 Place values in decimal numbers X8u Analytics a Ra [豨] In 43.078 , in which place is the $7 ?$ Video (1) Questions answered ones hundredths tenths tens 28 SmartScore out of 100 ? 65 Work it out
Not feeling ready yet? These can help: Understanding decimals expressed in words Lesson: Decimal place value

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Problem 8299

9 At practice, Cadesia swims 2 laps every 5 minutes. If she continues to swim at a constant rate, which method could be used to determine the number of minutes it takes her to swim 12 laps?
A Multiply 12 by 2.5
B Multiply 12 by 5
C Divide 12 by 2.5
D Divide 12 by 10

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Problem 8300

Place the following in order of increasing radius. $\mathrm{Ca}^{2+}$ $s^{2-}$ $\mathrm{Cl}^{-}$ $\mathrm{Cl}^{-}<\mathrm{S}^{2-}<\mathrm{Ca}^{2+}$ $\mathrm{S}^{2-}<\mathrm{Cl}^{-}<\mathrm{Ca}^{2+}$ $\mathrm{Cl}^{-}<\mathrm{Ca}^{2+}<\mathrm{S}^{2-}$ $\mathrm{Ca}^{2+}<\mathrm{S}^{2-}<\mathrm{Cl}^{-}$ $\mathrm{Ca}^{2+}<\mathrm{Cl}^{-}<\mathrm{S}^{2-}$ Submit Request Answer

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1 ...80 81 82 83 84 85 86 ...122

Word Problem

Problem 8201

Problem 8202

Problem 8203

Problem 8204

Problem 8205

Problem 8206

Problem 8207

Problem 8208

Problem 8209

EXAMPLE: Determine the total number of ions that will be present in the precipitate formed when a solution with 20.00 grams of barium nitrate reacts with a solution containing excess potassium phosphate.

Problem 8210

1. Two dice are rolls simultaneously. Determine the probability that: a) the number 6 will come out at least once. b) the sum of two numbers greater than 8.

Problem 8211

Click on the word/phrase that would correctly complete the sentence.You \qquad take the log of a negative number. can cannot will Should not

Problem 8212

Which of these shows the phrase "x multiplied by 4 " written as an algebraic expression? (a) 4x4 x4x (b) 4+x4+x4+x (C) 4−x4-x4−x (d) 4+x4+x4+x

Problem 8213

Jrag the four numbers into the boxes to show a correct comparison of the numbers. ? 1.222 □\square□ □\square□ □\square□ □\square□ 1.205 1.335 1.35

Problem 8214

Lupe's bedroom floor is a rectangle with an area of 195 square feet. The floor is 15 feet long. What is the width of Lupe's bedroom floor? (a) 12 feet (b) 13 feet (C) 14 feet (d) 15 feet

Problem 8215

Problem 8216

Problem 8217

Problem 8218

A particle moves along the xxx-axis with velocity given by v(t)=4πcos⁡(πt)v(t)=4 \pi \cos (\pi t)v(t)=4πcos(πt) for time t≥0t \geq 0t≥0. If the particle is at position x=1x=1x=1 at time t=2t=2t=2, what is the position of the particle at time t=56t=\frac{5}{6}t=65​ ?

Problem 8219

Problem 8220

11. Provide a trigonometric equation. Considering only the space between x=0x=0x=0 and 2π2 \pi2π, the equation must only have solutions at x=1x=1x=1 and x=2x=2x=2. Explain your thought process and the work you did to create the equation. You may round decimal values to 3 places. [ 6 marks]

Problem 8221

Problem 8222

Using the pencil, plot the point (6,−6)(6,-6)(6,−6).

Problem 8223

Problem 8224

Problem 8225

Suppose that $2000\$ 2000$2000 is loaned at a rate of 10.5%10.5 \%10.5%, compounded monthly. Assuming that no payments are made, find the amount owed after 3 years. Do not round any intermediate computations, and round your answer to the nearest cent. $□\$ \square$□ □\square□

Problem 8226

Problem 8227

Which of the given sentences about stating hypotheses is true? Both HaH_{a}Ha​ or H0H_{0}H0​ could contain the equality. HaH_{a}Ha​ can contain the equality. H0H_{0}H0​ always contains the equality.

Problem 8228

Problem 8229

(I) How much work is done by the gravitational force when a 280−kg280-\mathrm{kg}280−kg pile driver falls 3.80 m ?

Problem 8230

(I) How high will a 1.85−kg1.85-\mathrm{kg}1.85−kg rock go if thrown straight up by someone who does 70.0 J of work on it? Neglect air resistance.

Problem 8231

(I) A 55.0-kg firefighter climbs a flight of stairs 28.0 m high at constant speed. How much work does she do?

Problem 8232

(I) The head of a hammer with a mass of 1.2 kg is allowed to fall onto a nail from a height of 0.65 m . What is the maximum amount of work it could do on the nail? Why do people not just "let it fall" but add their own force to the hammer as it falls?

Problem 8233

(II) How much work would movers do pushing a 46.0−kg46.0-\mathrm{kg}46.0−kg crate 10.3 m horizontally across a rough floor without acceleration, if the effective coefficient of friction was 0.40 ?

Problem 8234

(II) A 1200−N1200-\mathrm{N}1200−N crate rests on the floor. How much work is required to move it at constant speed (a) 6.0 m along the floor against a friction force of 230 N , and (b) 6.0 m vertically?

Problem 8235

7. (II) (a) What magnitude force is required to give a helicopter of mass MMM an acceleration of 0.10 g upward? (b) What work is done by this force as the helicopter moves a distance hhh upward?

Problem 8236

(II) What is the minimum work needed to push a 950−kg950-\mathrm{kg}950−kg car 510 m up along a 9.0∘9.0^{\circ}9.0∘ incline? Ignore friction.

Problem 8237

9. (II) Estimate the work you do to mow a lawn 10 m by 20 m with a 50−cm50-\mathrm{cm}50−cm-wide mower. Assume you push with a horizontal force of about 15 N .

Problem 8238

Problem 8239

Problem 8240

If you wanted a more accurate way to fit the trend line to the data, a method called least squares could be used. This method finds the largest distance between the data points and the trend line.Select one: a. TRUE b. FALSE

Problem 8241

Problem 8242

(II) A box of mass 4.0 kg is accelerated from rest by a force across a floor at a rate of 2.0 m/s22.0 \mathrm{~m} / \mathrm{s}^{2}2.0 m/s2 for 8.0 s . Find the net work done on the box.

Problem 8243

(II) Eight books, each 4.0 cm thick with mass 1.6 kg , lie flat on a table. How much work is required to stack them one on top of another?

Problem 8244

Problem 8245

Problem 8246

Problem 8247

Problem 8248

Problem 8249

Question 6 Not yet answered Marked out of 2.00 Which of the following is not a business transaction? Answer a. Purchase of goods for business. b. Payment of house tax belonging to owner c. Sale of goods. ◯\bigcirc◯ d. Payment of sales tax

Problem 8250

Problem 8251

1. The pH of a 6.81×10−2M6.81 \times 10^{-2} \mathrm{M}6.81×10−2M solution of a weak monoprotic acid is 5.28 . Calculate the percent dissociation of the acid to 3 significant figures. \% Submit Answer Tries 0/99

Problem 8252

A person is standing 40 ft away from a street light that is 30 ft tall and casts a shadow that is 50 feet long. How tall is the person if his shadow is 10.ft10 . \mathrm{ft}10.ft long?

Problem 8253

Click on the word/phrase that would correctly complete the sentence.
You $\qquad$ take the log of a negative number. can cannot will Should not

Which of these shows the phrase "x multiplied by 4 " written as an algebraic expression? (a) $4 x$ (b) $4+x$ (C) $4-x$ (d) $4+x$

Jrag the four numbers into the boxes to show a correct comparison of the numbers. ? 1.222 $\square$ $\square$ $\square$ $\square$ 1.205 1.335 1.35

A particle moves along the $x$ -axis with velocity given by $v(t)=4 \pi \cos (\pi t)$ for time $t \geq 0$ . If the particle is at position $x=1$ at time $t=2$ , what is the position of the particle at time $t=\frac{5}{6}$ ?

11. Provide a trigonometric equation. Considering only the space between $x=0$ and $2 \pi$ , the equation must only have solutions at $x=1$ and $x=2$ . Explain your thought process and the work you did to create the equation. You may round decimal values to 3 places. [ 6 marks]

Using the pencil, plot the point $(6,-6)$ .

Suppose that $\$ 2000$ is loaned at a rate of $10.5 \%$ , compounded monthly. Assuming that no payments are made, find the amount owed after 3 years. Do not round any intermediate computations, and round your answer to the nearest cent. $\$ \square$ $\square$

Which of the given sentences about stating hypotheses is true? Both $H_{a}$ or $H_{0}$ could contain the equality. $H_{a}$ can contain the equality. $H_{0}$ always contains the equality.

(I) How much work is done by the gravitational force when a $280-\mathrm{kg}$ pile driver falls 3.80 m ?

(I) How high will a $1.85-\mathrm{kg}$ rock go if thrown straight up by someone who does 70.0 J of work on it? Neglect air resistance.

(II) How much work would movers do pushing a $46.0-\mathrm{kg}$ crate 10.3 m horizontally across a rough floor without acceleration, if the effective coefficient of friction was 0.40 ?

(II) A $1200-\mathrm{N}$ crate rests on the floor. How much work is required to move it at constant speed (a) 6.0 m along the floor against a friction force of 230 N , and (b) 6.0 m vertically?

7. (II) (a) What magnitude force is required to give a helicopter of mass $M$ an acceleration of 0.10 g upward? (b) What work is done by this force as the helicopter moves a distance $h$ upward?

(II) What is the minimum work needed to push a $950-\mathrm{kg}$ car 510 m up along a $9.0^{\circ}$ incline? Ignore friction.

9. (II) Estimate the work you do to mow a lawn 10 m by 20 m with a $50-\mathrm{cm}$ -wide mower. Assume you push with a horizontal force of about 15 N .

If you wanted a more accurate way to fit the trend line to the data, a method called least squares could be used. This method finds the largest distance between the data points and the trend line.
Select one: a. TRUE b. FALSE

(II) A box of mass 4.0 kg is accelerated from rest by a force across a floor at a rate of $2.0 \mathrm{~m} / \mathrm{s}^{2}$ for 8.0 s . Find the net work done on the box.

Question 6 Not yet answered Marked out of 2.00 Which of the following is not a business transaction? Answer a. Purchase of goods for business. b. Payment of house tax belonging to owner c. Sale of goods. $\bigcirc$ d. Payment of sales tax

1. The pH of a $6.81 \times 10^{-2} \mathrm{M}$ solution of a weak monoprotic acid is 5.28 . Calculate the percent dissociation of the acid to 3 significant figures. \% Submit Answer Tries 0/99

A person is standing 40 ft away from a street light that is 30 ft tall and casts a shadow that is 50 feet long. How tall is the person if his shadow is $10 . \mathrm{ft}$ long?

RIANGLE SUM CONJECTURE The sum of the measures of the angles of every triangle is $\qquad$ .
ISOSCELES TRIANGLE CONJECTURE If a triangle is isosceles then the base angles are $\qquad$

Translate each graph as specified below. (a) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=x^{2}+1$ . (b) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=(x+5)^{2}$ .

Example. $A$ sinusoidal function has an amplitude of 2 units, a period of $180^{\circ}$ and a maximum at $(0,3)$ . Write a possible equation for this function.

Peter buys a campervan costing $£ 55000+20 \%$ VAT. He pays a $50 \%$ deposit and then arranges to pay the remaining balance in 20 equal monthly installments.
Calculate the amount paid each month by Peter. Optional working

Find the margin of error for the given values of $\mathrm{c}, \mathrm{s}$ , and n . $c=0.99, s=6, n=23$
Click the icon to view the t-distribution table.
The margin of error is $\square$ (Round to three decimal places as needed.)

(1 point) Find the volume of the solid that results when the region bounded by $y=\sqrt{x}, y=0$ and $x=9$ is revolved about the line $x=9$ . Volume $=$ $\square$

Find the volume of the solid obtained by rotating the region bounded by the curves $y=x^{2}, \quad y=1$ about the line $y=2$ .
Answer: $\square$