Word Problem

Problem 3001

Length word problem (US customary) Olaf measured his arm and nose to see how long they were. The carrot for his nose measures 7 inches long. The branch for his arm measures 24 inches long.
How much longer is Olaf's arm than his nose? $\square$ inches

See Solution

Problem 3002

Suppose that the human body dissipates a drug at a rate proportional to the amount $y$ of drug present in the bloodstream at time f. At time $\mathrm{f}=0$ a first injection of $\mathrm{y}_{\mathrm{o}}$ grams of the drug is made into a body that was free from that drug prior to that time. Find the amount of residual drug in the bloodstream at the end of T hours.

See Solution

Problem 3003

a. Of the 100 senators in the U.S. Senate, 59 favor a new bill on health care reform. The opposing senators start a filibuster is the bill likely to pass?
No, it is unlikely the bill will pass because those in favor don't have the needed $3 / 5$ majority to end the fillbuster b A criminal conviction in a particular state requires a vote by $2 / 3$ of the jury members On an 16 -member jury, 12 jurors vote to convict Will the defendant be convicted? Yes, the defendant will be convicled because those voting to convict have $\square$ the required $2 / 3$ of the jury c. A proposed amendment to the U S Constitution has passed both the House and the Senate with more than the required $2 / 3$ super majority Each state holds a vote on the amendment, and it receives a majonty vote in all but 15 of the 50 states Is the Constitution amended? No, the Constitution is not amended because the amendment doesn't have the approval of the needed $3 / 4$ majority of the states d A tax increase bill has the support of 73 out of 100 senators and 289 out of 435 members of the House of Representatives. The President promises to veto the bill if it is passed is it likely to become law? Yes, the bill $\square$ likely to become law because it $\square$ the needed $2 / 3$ super majority in $\square$ the Senate

See Solution

Problem 3004

(ii) Find $p(x)$ . $f(x)$ is defined by $f(x)=x^{3}+5, x \in \mathbb{R}$ . Find the value of $x$ such that $f g(2 x)=13$ if $g(x)=3 x-10$ . [3 marks]

See Solution

Problem 3005

$\text{Find the interval on the number line that includes the numbers: } -3, -4, -6, -5, \text{ and } -2.$

See Solution

Problem 3006

\$7ow My Work (Optional) Submit Answer [-/14 Points] DETAILS MY NOTES TANFIN12 3.4.014. PRACTICE ANOTHER
Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type $\mathrm{A}, x$ , vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel, $y$ , has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with the Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15-day cruise in May. It costs $\$ 56,000$ to operate a type A vessel and \ $54,000 to operate a type B vessel for that period. (a) How many of each type of vessel should be used to keep the operating costs$ C $to a minimum?$ $\text { The minimum is } C=\square \text { at }(x, y)=(\square) \text {. }$ $(b) Suppose$ C=c x+54,000 y $. Find the range of values that the cost of operating a type A vessel, the coefficient$ c $of$ x $, can assume without changing the optimal solution.$ \square $\leq c \leq$ \square $(c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.)$ \square\leq( $Requirement 1$ ) \leq\square $(d) Find the shadow price for Requirement 1 for deluxe cabins. (Round your answer to the nearest cent.) \$$ \square$
S+ow My Work (Optional) $\square$

See Solution

Problem 3007

Find in each blank so that the resulting statement is true. The number of ways in which a series of successive things can occur is found by $\qquad$ the number of ways in which each thing can occur. This is called the $\qquad$ Principle.
The number of ways in which a series of successive things can occur is found by $\square$ the number of ways in which each thing can occur. This is called the $\square$ Principle.

See Solution

Problem 3008

Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1. $f(x)=5^{2 . \theta x}$
The graph exponentially grows. Find the second coordinates of the given first coordinates. $\begin{array}{ll} x & f(x)=5^{2.9 x} \\ 0 & f(0)=1 \\ 1 & f(1)=\square \end{array}$

See Solution

Problem 3009

27. Annie and Alvie have agreed to meet for lunch between noon (0:00 P.M.) and 1:00 P.M. Denote Annie's arrival time by $X$ . Alvie's by $Y$ , and suppose $X$ and $Y$ are independent with pdf's $\begin{array}{l} f_{X}(x)=\left\{\begin{array}{cl} 3 x^{2} & 0 \leq x \leq 1 \\ 0 & \text { otherwise } \end{array}\right. \\ f_{X}(y)=\left\{\begin{array}{rl} 2 y & 0 \leq y \leq 1 \\ 0 & \text { otherwise } \end{array}\right. \end{array}$
What is the expected amount of time that the one who arrives first must wait for the other person? [Hint: $\quad h(X, Y)=|X-Y|$ .

See Solution

Problem 3010

Consumers in Shelbyville have a choice of one of two fast food restaurants, Krusty's and McDonald's. Both have trouble keeping customers. Of those who last went to Krusty's, $56 \%$ will go to McDonald's next time, and of those who last went to McDonald's, $84 \%$ will go to Krusty's next time. (a) Find the transition matrix describing this situation. (Assume the components of the state vector are in this order [Krusty's customers, McDonald's customers]). $\left[\begin{array}{ll} 0.44 & 0.84 \\ 0.56 & 0.16 \end{array}\right]$ (b) A customer goes out for fast food every Sunday, and just went to Krusty's. i. What is the probability that two Sundays from now she will go to McDonald's? $0.336$ ii. What is the probability that three Sundays from now she will go to McDonald's? $0.4256$ (c) Suppose a consumer has just moved to Shelbyville, and there is a $45 \%$ chance that he will go to Krusty's for his first fast food outing. What is the probability that his third fast food experience will be at Krusty's? $\square$

See Solution

Problem 3011

Use Figure 7D. 2 and these facts to answer the following question. The death rate in 1917 (the year before the influenza pandemic) was 2300 deaths per 100,000 . The death rate in 1918 (the year of the influenza pandemic) was 2550 deaths per 100,000 . The U.S. population in 1917-1918 was approximately 105 million.
What was the percentage increase in the death rate over the previous year in 1918 and in 2020 ? By this measure, which pandemic was worse? Click on the icon to view figure 7D. 2.
The percentage increase in the death rate over the previous year in 1918 was $\square$ \%. (Round to the nearest whole number as needed.)

See Solution

Problem 3012

This exercise is on probabilities and coincidence of shared bithdays. Complete parts (a) through (e) below. a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is $\frac{365}{365} \cdot \frac{364}{365}$ . Explain why this is so. (Ignore leap years and assume 365 days in a year.)
The first person can have any birthday, so they can have a birthday on $\square$ of the 365 days. In order for the second person to not have the same birthday they must have one of the $\square$ remaining birthdays. (Type whole numbers.)

See Solution

Problem 3013

QUESTION 12 I metal block has dimensions $5 \mathrm{~cm} \times 5 \mathrm{~cm} \times 10 \mathrm{~cm}$ . A cylinder, with diameter 2 cm , is removed from the block akong its length as shown in the sketch: 12.1 Calculate to two decimal places: 12.1.1 The remaining volume. (4) 12.1.2 The total exposed surface area (5) 191 TOTAL: 150

See Solution

Problem 3014

Write a complete C++ program that prompts the user the string in the pigto input a string and then outputs Latin form. The rules for converting a string into Latin form are as follows:pig -"If the string begins with a vowel, add the string . 1 way" at the end of the string. For example, the pig Latin ."eye-way" is "eye" form of the string at "-" If the string does not begin with a vowel, first add .2 string. Then rotate the string onethe end of the character at a time; that is, move the first character of the string to the end of the string until the first character of the string becomes a vowel. Then add the string "ay" at the end. For example, the pig Latin form ."of the string "There" is "ere-Thay contain no vowels. In cases like "by" Strings such as . 3 can be considered a vowel. So, for thisthis, the letter $y$ program the vowels are $a, e, i, \mathrm{o}, \mathrm{u}, \mathrm{y}, \mathrm{A}, \mathrm{E}, \mathrm{I}, \mathrm{O}, \mathrm{U}$ , ."and Y. Therefore, the pig Latin form of "by" is "y-bay contain no vowels. The pig "1234" Strings such as string "1234" is "1234-way". That is,Latin form of the the pig Latin form of a string that has no vowels in it is ."-way" the string followed by the string Your program must store the characters of a string into a linked list and use the function rotate, as described in .Programming Exercise 17, to rotate the string

See Solution

Problem 3015

The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting a 4, given that a green disk is selected.
Find the probability of selecting a 4 , given that a green disk is selected. $\square$ (Type an integer or a simplified fraction.)

See Solution

Problem 3016

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 5 the second time.
Find the probability of rolling an even number the first time and a number greater than 5 the second time. $\square$ (Type an integer or a simplified fraction.)

See Solution

Problem 3017

Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Five are jelly-filled, 9 are lemon-filled, and 10 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a jelly-filled donut followed by a custard-filled donut. $\square$ (Type an integer or a simplified fraction.)

See Solution

Problem 3018

his exercise is on probabilities and coincidence of shared birthdays. Complete parts (a) through (e) bel a. If two people are selected at random, the probability that they do not have the same birthday (day and $n$ $\frac{365}{365} \cdot \frac{364}{365}$ . Explain why this is so. (Ignore leap years and assume 365 days in a year.) The first person can have any birthday, so they can have a birthday on $365^{\circ}$ of the 365 days. In order for the person to not have the same birthday they must have one of the 364 remaining birthdays. (Type whole numbers.) b. If six people are selected at random, find the probability that they all have different birthdays.
The probability that they all have different birthdays is $0.960^{\circ}$ . (Round to three decimal places as needed.) c. If six people are selected at random. find the probability that at least two of them have the same birthday.
The probability that at least two of them have the same birthday is $\square$ (Round to three decimal places as needed.)

See Solution

Problem 3019

Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A permutation occurs when the order of arrangement does not matter.
Choose the correct answer below. A. The statement is true because arrangement does not matter for permutations. B. The statement is false. It should read "A permutation only occurs when items are used more than once and the order of arrangement does not matter." C. The statement is false. It should read "A permutation occurs when the order of arrangement matters." D. The statement is false. It should read "A permutation can occur when the order of arrangement matters or does not matter."

See Solution

Problem 3020

a) Write $1 \frac{8}{9}$ as an improper fraction in its simplest form. b) Use your answer to part a) to work out $5 \div 1 \frac{8}{9}$ Give your answer as a fraction in its simplest form.

See Solution

Problem 3021

Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
Because all permutation problems are also Fundamental Counting problems, they can be solved using the formula for ${ }_{n} \mathrm{P}_{\mathrm{r}}$ or using the Fundamental Counting Principle.
Choose the correct answer below. A. The statement is false. It should read "Permutation problems are not Fundamental Counting problems. They cannot be solved using the formula for ${ }_{n} \mathrm{P}_{r}$ or by using the Fundamental Counting Principle." B. The statement is false. It should read "Not all permutation problems are Fundamental Counting problems. Only some can be solved using the formula for $\mathrm{P}_{\mathrm{r}}$ or using the Fundamental Counting Principle." C. The statement is true because all permutation problems are Fundamental Counting problems. D. The statement is false. It should read "Not all permutation problems are Fundamental Counting problems. Some can be solved using the Fundamental Counting Principle, but not by using the formula for ${ }_{n} P_{r}$ ."

See Solution

Problem 3022

In a large casino, the house wins on its blackjack tables with a probability of $50.8 \%$ . All bets at blackjack are 1 to 1 , which means that if you win, you gain the amount you bet, and if you lose, you lose the amount you bet. a. If you bet $\$ 1$ on each hand, what is the expected value to you of a single game? What is the house edge? b. If you played 450 games of blackjack in an evening, betting $\$ 1$ on each hand, how much should you expect to win or lose? c. If you played 450 games of blackjack in an evening, betting $\$ 10$ on each hand, how much should you expect to win or lose? d. If patrons bet $\$ 7,000,000$ on blackjack in one evening, how much should the casino expect to eam? a. The expected value to you of a single game is $\$-0.016$ . (Type an integer or a decimal) The house edge is $\$ 0.016$ (Type an integer or a decimal.) b. You should expect to lose $\$ \square$ . (Type an integer or a decimal.)

See Solution

Problem 3023

A club with eight members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled? $\square$ ways

See Solution

Problem 3024

Use the five sentences below to answer the question. Mark had told him about the foxes. John looked out of the window. Could it be a fox? However, nobody had seen one for months. He thought he saw a shape in the bushes. How many different five-sentence paragraphs can be formed if the paragraph begins with "He thought he saw a shape in the bushes" and ends with "John looked out of the window"?
There are $\square$ different five-sentence paragraphs that can be formed in this situation.

See Solution

Problem 3025

A restaurant offers the following limited lunch menu.
Main Courses Vegetables Beverages Desserts
Ham, Chicken, Fish Corn, Green Beans Coffee, Tea, Milk, Soda, Shakes Ice Cream, Brownies
If one item is selected from each of the four groups, in how many ways can a meal be ordered?
There are $\square$ ways a meal can be ordered.

See Solution

Problem 3026

Which of these are financing costs? Select all that apply. Repayment of bond principal Stock repurćhase Stock dividend Bond interest

See Solution

Problem 3027

a) Write $1 \frac{4}{7}$ as an improper fraction in its simplest form. b) Use your answer to part a) to work out $\frac{1}{3} \div 1 \frac{4}{7}$ Give your answer as a fraction in its simplest form.

See Solution

Problem 3028

4. A miniature golf course charges different prices for adults and children. On Saturday, 50 adults and 50 children played, and the golf course earned $\$ 800$ . On Sunday, 65 adults and 75 children played, and the golf course earned $\$ 1,100$ . How much does the golf course charge for adults? A. \$6

See Solution

Problem 3029

5. A line passes through points $(-3,-1)$ and $(0,5)$ . A second line passes through points $(1,-2)$ and $(-4,3)$ . At what point do the two lines intersect?
A $(-1,0)$ B. $(-2,1)$ C. $(-1,3)$ D. $(0,-1)$

See Solution

Problem 3030

7. Nolan is buying a season pass to a performing arts center. - One performing art center charges $\$ 100$ for the pass, plus $\$ 15.00$ to park each visit. - Another performing arts center charges $\$ 75$ for the pass, plus $\$ 20.00$ to park each visit. How many times would Nolan need to visit the two performing arts centers for the cost to be the same?
A 4 B. 5 C. 6 D. 7

See Solution

Problem 3031

Practice and Problem-Solving Exercises MATHEMATICAL PRACTICES See Problem 1. (A) Practice Tell whether each equation is true, false, or open. Explain.
7. $85+(-10)=95$
8. $225 \div t-4=6.4$
9. $29-34=-5$
10. $-8(-2)-7=14-5$
11. $4(-4) \div(-8) 6=-3+5(3)$
12. $91 \div(-7)-5=35 \div 7+3$
13. $4 a-3 b=21$
14. $14+7+(-1)=21$
15. $5 x+7=17$
Tell whether the given number is a solution of each equation.
16. $8 x+5=29 ; 3$
17. $5 b+1=16 ;-3$
18. $6=2 n-8 ; 7$
19. $2=10-4 y ; 2$
20. $9 a-(-72)=0 ;-8$
21. $-6 b+5=1 ; \frac{1}{2}$
22. $7+16 y=11 ; \frac{1}{4}$
23. $14=\frac{1}{3} x+5 ; 27$
24. $\frac{3}{2} t+2=4 ; \frac{2}{3}$
Write an equation for each sentence.
25. The sum of $4 x$ and -3 is 8 .
26. The product of 9 and the sum of 6 and $x$ is 1 .
27. Training An athlete trains for 115 min each day for as many days as possible. Write an equation that relates the number of days $d$ that the athlete spends training when the athlete trains for 690 min .
28. Salary The manager of a restaurant earns $\$ 2.25$ more each hour than the host of the restaurant. Write an equation that relates the amount $h$ that the host earns each hour when the manager earns $\$ 11.50$ each hour.
Use mental math to find the solution of each equation. See Problem 3.
29. $x-3=10$
30. $4=7-y$
31. $18+d=24$
32. $2-x=-5$
33. $\frac{m}{3}=4$
34. $\frac{x}{7}=5$
35. $6 t=36$
36. $20 a=100$
37. $13 c=26$

See Solution

Problem 3032

A line passes through the points $(1,4)$ and $(5,8)$ . A second line passes through the points $(2,10)$ and $(6,4)$ . At what point do the two lines intersect?
A $(2,10)$ B. $(3,6)$ c. $(4,7)$ D. $(5,8)$

See Solution

Problem 3033

Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent a healthy gene, and s the sickle cell gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. \begin{tabular}{|cc|cc|} \hline & & \multicolumn{2}{|c|}{ Second } \\ & Parent \\ S & s \\ \hline First & S & SS & Ss \\ Parent & s & sS & ss \\ \hline \end{tabular} $P($ child has sickle cell anemia $)=$ $\square$ (Simplify your answer.)

See Solution

Problem 3034

Original cost, $\$ 55,000$ , life, 10 years, annual rate of value lost, $14 \%$ $\mathrm{s}=\$$ (Round to the nearest cent.)

See Solution

Problem 3035

Nathan and Jackson are each saving money. - Nathan has $\$ 15$ saved and plans to save $\$ 5$ more each week. - Jackson has $\$ 25$ saved and plans to save $\$ 4$ more each week.
How many weeks will it be before both boys have saved the same amount of money?

See Solution

Problem 3036

Sparx Matis 4A 4B 4 C 4D 4 E Summary Bookwork code: 4A Cat allowe
Luke, Rory and Sara each own a vegetable patch.
Luke's vegetable patch has an area of $v$ . Rory's vegetable patch has an area of $3 v+5$ . Sara's vegetable patch has an area of $4 v$ . All areas are given in $\mathrm{m}^{2}$ . In total, their vegetable patches cover an area greater than $53 \mathrm{~m}^{2}$ .
Write and solve an inequality for the possible values of $v$ . Watch video Answer

See Solution

Problem 3037

a) Write $2 \frac{1}{4}$ as an improper fraction in its simplest form. b) Work out $2 \frac{1}{4} \times 5$ . Give your answer as a fraction in its simplest form.

See Solution

Problem 3038

Suppose that 1700 people are all playing a game for which the chance of winning is $46 \%$ . Complete parts (a) and (b) below. a. Assuming everyone plays exactly five games, what is the probability of one person winning five games in a row? $\mathrm{P}($ five wins in a row $)=$ $\square$ (Round to three decimal places as needed.)

See Solution

Problem 3039

Labour planning
Labour information
Standard rate $£ 17.00 / \mathrm{hr}$ Overtime rate $£ 22.50 / \mathrm{hr}$ Targeted labour cost £11,050/wk Labour hours needed 650/wk Any hour worked over 40 hrs/wk must be paid at the overtime rate
For a 12-person team, how many extra workers should be hired to meet the labour hours needed without overtime? 5 17 55 170 921

See Solution

Problem 3040

Previously, 5\% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than $5 \%$ today. She randomly selects 115 pregnant mothers and finds that 4 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the $\alpha=0.1$ level of significance.
What are the null and alternative hypotheses? $H_{0}: p=0.05$ versus $H_{1}: p<0.05$ (Type integers or decimals. Do not round.) Because $n p_{0}\left(1-p_{0}\right)=5.5<10$ , the normal model may not be used to approximate the $P$ -value. (Round to one decimal place as needed.) Find the P -value. P -value $=$ $\square$ (Round to three decimal places as needed.)

See Solution

Problem 3041

Josh rented a truck for one day. There was a base fee of $\$ 19.95$ , and there was an additional charge of 77 cents for each mile driven. Josh had to pay $\$ 133.14$ when he returned the truck. For how many miles did he drive the truck? $\square$ miles

See Solution

Problem 3042

David will spend at most $\$ 30$ on gifts. So far, he has spent $\$ 21$ . What are the possible additional amounts he will spend? Use $c$ for the additional amount (in dollars) David will spend. Write your answer as an inequality solved for $c$ .

See Solution

Problem 3043

Equations and Inequalities Solving a word problem using a one-step linear inequality
Bob runs each lap in 7 minutes. He will run at least 77 minutes today. What are the possible numbers of laps he will run today? Use $\boldsymbol{n}$ for the number of laps he will run today. Write your answer as an inequality solved for $n$ .

See Solution

Problem 3044

Translate the sentence into an equation. Twice the difference of a number and 6 equals 5 . Use the variable $x$ for the unknown number. $\square$

See Solution

Problem 3045

Translate the sentence into an equation. Two less than the product of 3 and a number is 5 . Use the variable $y$ for the unknown number.

See Solution

Problem 3046

Translate the sentence into an equation. Seven times the sum of a number and 9 equals 2. Use the variable $x$ for the unknown number. $\square$

See Solution

Problem 3047

3 Homework Question 5, 4.1.43-BE HW Score: 22.22\%, 12 of 54 points Points: 0 of 4
Original cost, $\$ 61,000 ;$ life, 7 years; annual rate of value lost, $11 \%$ $\mathrm{S}=\$$ $\square$ (Round to the nearest cent.)

See Solution

Problem 3048

(a) Convert $540^{\circ}$ to radian measure in terms of $\pi$ . $\square$ radians (b) Convert $-\frac{13 \pi}{6}$ radians to degree measure. $\square$

See Solution

Problem 3049

(a) Convert $300^{\circ}$ to radian measure in terms of $\pi$ . $\square$ radians (b) Convert $45^{\circ}$ to radian measure in terms of $\pi$ . $\square$ radians

See Solution

Problem 3050

What is the output of the following program: ``` int main() { bool m; m = 10<3; cout << m; return 0; } ``` a. true (1) b. false (0) c. $\quad 10<3$ d. 103

See Solution

Problem 3051

Suppose there is a list of ten jokes about books. In how many ways can these ten jokes be ranked from best to worst?
The ten jokes can be ranked from best to worst in $\square$ different ways. (Simplify your answer. Type a whole number.)

See Solution

Problem 3052

Keep cool: Following are prices, in dollars, of a random sample of ten 7.5-cubic-foot refrigerators. A consumer organization reports that the mean price of 7.5 -cubic-foot refrigerators is less than $\$ 370$ . Do the data provide convincing evidence of this claim? Use the $\alpha=0.01$ level of significance and the $P$ -method with the
Critical Values for the Student's t Distribution Table. \begin{tabular}{lllll} \hline 350 & 414 & 360 & 313 & 353 \\ 318 & 369 & 383 & 329 & 339 \\ \hline \end{tabular} Send data to Excel
Part 1 of 6
Following is a dotplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The dotplot shows that there are no $\quad$ outliers. The dotplot shows that there is no evidence of strong skewness.
We $\square$ can assume that the population is approximately normal.
It $\square$ is reasonable to assume that the conditions are satisfied.
Part: $1 / 6$
Part 2 of 6
State the appropriate null and alternate hypotheses. $H_{0}$ : $\square$ $\square$ < $\square$ $\square$ $\square$ $\square$ $\square$ $H_{1}$ : $\square$ 묵 $\square$ $\mu$

See Solution

Problem 3053

Keep cool: Following are prices, in dollars, of a random sample of ten 7.5 -cubic-foot refrigerators. A consumer organization reports that the mean price of 7.5 -cubicfoot refrigerators is less than $\$ 370.00$ the data provide convincing evidence of this claim? Use the $a=0.01$ level of significance and the $P$ -method with the - Critical Values for the Student's $t$ Distribution Table. \begin{tabular}{lllll} \hline 350 & 414 & 360 & 313 & 353 \\ 318 & 369 & 383 & 329 & 339 \\ \hline \end{tabular} Send data to Excel
Part 1 of 6
Following is a dotplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The dotplot shows that there are no outliers. The dotplot shows that there is no evidence of strong skewness. We $\square$ can $\square$ It is assume that the population is approximately normal, reasonable to assume that the conditions are satisfied.
Part: $1 / 6$
Part 2 of 6
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=370 \\ H_{1}=\mu<370 \end{array}$ $\square$
Part: $2 / 6$
Part 3 of 6
Compute the value of the test statistic. Round the answer to three decimal places. $t=-2.449$ $\square$
Part: $3 / 6$
Part 4 of 6
Select the correct interval for the $P$ -value. $P$ -value $>0.10$ $0.025<P$ -value $\leq 0.05$ $0.05<P$ -value $\leq 0.10$ $P$ -value $\leq 0.025$
Part: $4 / 6$
Part 5 of 6
Determine whether to reject $H_{0}$ . $\qquad$ the null hypothesis $H_{0}$ .

See Solution

Problem 3054

(Expafica)
Keep cool: Following are prices, in doilars, of a random sample of ten 7.5 -cubic-foot refrigerators. A consumer organization reports that the mean price of 7.5 -cubic-foot refrigerators is less than $\$ 370$ . Do the data provide convincing evidence of this claim? Use the $\alpha=0.01$ level of significance and the $P$ -method with the - Critical Values for the Student's t Distribution Table. \begin{tabular}{lllll} 350 & 414 & 360 & 313 & 353 \\ 318 & 369 & 383 & 329 & 339 \\ \hline \end{tabular} abo （ Send data to Excel
Part 1 of 6
Following is a dotplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The dotpiot shows that there are no outllers. The dotplot shows that there is no evidence of strong skewness. We $\square$ assume that the population is approximately normal,
It 1 $\square$ reasonable to assume that the conditions are satisfled
Part: $1 / 6$
Part 2 of 6
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=370 \\ H_{1}: \mu<370 \end{array}$ \begin{tabular}{|c|c|c|} \hline $\square<\square$ & $\square>\square$ & $\square=\square$ \\ $\square \neq \square$ & $\mu$ & \\ \hline $\times$ & 0 \\ \hline \end{tabular}
Part: $2 / 6$
Part 3 of 6
Compute the value of the test statistic. Round the answer to three decimal places. $t=-2.449$ $\square$ $\times$ 6 $\times$ 5 $\qquad$

See Solution

Problem 3055

Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Polya's four steps in problem solving make it possible to obtain answers to problems even if necessary pieces of information are missing.
Choose the correct answer below. A. False, Polya's four steps in problem solving make it possible to obtain answers to problems when all necessary pieces of information are given. B. True C. False: Polya's four steps in problem solving make it impossible to obtain answers to problems even if all necessary pieces of information are given. D. False; Polya's four steps in problem solving make it possible to obtain answers to problems when all necessary pieces of information are missing.

See Solution

Problem 3056

Review Question One group approached their investigation by dropping a mass so it fell vertically downward. They planned to measure the position of the mass as it descended using a motion detector. They checked whether the motion detector that they were using was sensitive enough to capture the motion during the fall, and they were satisfied. Given that they are measuring the motion (position, velocity, and acceleration) of the mass, the students can only measure gravitational potential energy and kinetic energy; any other form of energy is undetectable. If they hope to see that energy is conserved in this system, which of the following assumptions must be true (or approximately true)?
Air resistance is negligible. $\square$ [Select]
The initial vertical velocity of the mass is negligible. [ Select]

See Solution

Problem 3057

For each given value of $x$ , determine the value of $y$ that gives a solution to the given linear equations in two unknowns. $3 x-2 y=18 ; \quad x=4, x=-5$
If $x=4$ what is $y$ ? $\square$

See Solution

Problem 3058

(a) Find an angle between 0 and $2 \pi$ that is coterminal with $-\frac{5 \pi}{3}$ . (b) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $510^{\circ}$ . Give exact values for your answers.

See Solution

Problem 3059

Answer the following. (a) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $1260^{\circ}$ . (b) Find an angle between 0 and $2 \pi$ that is coterminal with $-\frac{23 \pi}{12}$ .
Give exact values for your answers.

See Solution

Problem 3060

Answer the following. (a) Find an angle between 0 and $2 \pi$ that is coterminal with $\frac{17 \pi}{4}$ . (b) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $-32^{\circ}$ . Give exact values for your answers.

See Solution

Problem 3061

13.The frictional force does -3000 J of work to completely stop a skier who slides on a horizontal surface with an initial speed of $10 \mathrm{~m} / \mathrm{s}$ . What would be the speed of the skier if the friction force had only done -1500 J of work? vhcc2.vhcc.edu/ph1 fall9/frames_pages/openstax_problems.htm 2024 Version 8 - Work 30

See Solution

Problem 3062

You are choosing between two health clubs. Club $A$ offers membership for a fee of $\$ 11$ plus a monthly fee of $\$ 20$ . Club B offers membership for a fee of $\$ 23$ plus a monthly fee of $\$ 18$ . After how many months will the total cost of each health club be the same? What will be the total cost for each club?
In $\square$ months the total cost of each health club will be the same.

See Solution

Problem 3063

$V$ is the midpoint of $\overline{R T}$ and $\overline{S U}$ . Complete the proof that $\triangle S T V \cong \triangle U R V$ . \begin{tabular}{|l|l|l|} \hline & Statement & Reason \\ \hline 1 & $V$ is the midpoint of $\overline{R T}$ & Given \\ 2 & $V$ is the midpoint of $\overline{S U}$ & Given \\ 3 & $\overline{R U} \cong \overline{S T}$ & Given \\ 4 & $\overline{R V} \cong \overline{T V}$ & \\ 5 & $\overline{S V} \cong \overline{U V}$ & \\ 6 & $\triangle S T V \cong \triangle U R V$ & \\ \hline \end{tabular}

See Solution

Problem 3064

The bus fare in a city is $\$ 1.50$ . People who use the bus have the option of purchasing a monthly coupon book for $\$ 25.00$ . With the coupon book, the fare is reduced to $\$ 0.50$ . Determine the number of times in a month the bus mus be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
The bus must be used $\square$ times.

See Solution

Problem 3065

The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, 220 - a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts (a) and (b).
Lower limit of range $\quad H=\frac{7}{10}(220-a)$ Upper limit of range $\quad H=\frac{4}{5}(220-a)$ a. What is the lower limit of the heart range, in beats per minute, for a 40 -year-old with this exercise goal?
The lower limit of the heart range is 126 beats per minute. (Round to the nearest integer as needed.) b. What is the upper limit of the heart range, in beats per minute, for a 40 -year-old with this exercise goal?
Thus, the upper limit of the heart range is $\square$ beats per minute. (Round to the nearest integer as needed.)

See Solution

Problem 3066

Round intermediate calculations and final answer to four decimal places. Find the point on the parabola $y=16-x^{2}$ closest to the point $(9,17)$ . Closest point is $\square$ , $\square$ ) with the distance of $\square$ .

See Solution

Problem 3067

According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, $23 \%$ of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints. Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than $23 \%$ ?
The hypotheses are: $\begin{array}{l} \mathrm{H}_{0}: p=23 \% \\ \mathrm{H}_{1}: p<23 \% \end{array}$
What is a type I error in the context of this problem?

See Solution

Problem 3068

Mathematical Literacy Gr 11 EN-Oct/Nov 2024
Study the information on the watch and answer the questions that follow. 1.2.1 Identify the type of time displayed on the watch. (2) 1.2.2 If the time displayed were in the moming, write the time in 12-hour format. (2) 1.2.3 The chance of rain is indicated as $8 \%$ , choose from the following words describing the probability of rain. a) Impossible b) Likely c) Unlikely d) Certain. 1.2.4 What does the pm stand for? (2) (2) 3
EASY SAVORY TART RECIPE: 2Eggs Salt 1cup of milk 3 tablespoons of Self raising flour One teaspoon of mustard Choose your own filling: 1cup Mushrooms/ham/cheese/tuna 1cup $=250 \mathrm{ml}$ The oven to be set on $105^{\circ} \mathrm{F}$ . Study the information above and answer the questions that follow: 1.3.1 How many eggs are there in a dozen? (2) 1.3.2 Determine the amount of milk needed for the savoury tart recipe in ml . (2) 1.3.3 Determine the probability of choosing ham as one of the fillings for the savoury tart. Write your answer as a percentage. (2)

See Solution

Problem 3069

Which units can be used to describe the perimeter of a shape? inches miles ounces square feet kilometers

See Solution

Problem 3070

Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
When working problems involving probability with permutations, the denominators of the probability fractions consist of the total number of possible permutations.
Choose the correct answer below. A. The statement is true B. The statement is false. When working problems involving probability with permutations, the numerators of the probability fractions consist of the total number of possible permutations. C. The statement is false. When working problems involving probability with combinations, the numerators of the probability fractions consist of the total number of possible permutations. D. The statement is false. When working problems involving probability with combinations, the denominators of the probability fractions consist of the total number of possible permutations.

See Solution

Problem 3071

A box contains 15 transistors, 4 of which are defective. If 4 are selected at random, find the probability of the statements below. a. All are defective b. None are defective a. The probability is $\square$ (Type a fraction. Simplify your answer.)

See Solution

Problem 3072

Dion makes and sells stained glass suncatchers in different shapes. For one of his designs, he attaches semicircles to each side of a square that has a side length of 4 centimeters. He builds a frame around the outside of each suncatcher to hold it together.
2020 StrongMind. Created using GeoGebra.
What is the approximate lenath of the frame that Dion used on this suncatcher?

See Solution

Problem 3073

A beaker contains 75 milliliters ( mL ) of liquid solution composed of water and borie aeid in the ratio 16:9. How much boric acid must be added to the beaker to make the ratio $1: 1$ ?

See Solution

Problem 3074

What units can be used to describe the area of a shape? Select all that apply. square feet inches square meters centimeters kilometers

See Solution

Problem 3075

Problem 1: During an investigation into the association between smoking and lung cancer, two populations of adults aged $30-60$ years were collected. The group was tracked over a 10-year period and divided into "smokers" and "non-smokers." Out the 1000 individual smokers, 150 developed lung cancer. Of the 1000 individual non-smokers, 30 developed lung cancer. (a) Create a risk data table and (b) calculate relative risk, (c) attributable risk, and (d) odds ratio.

See Solution

Problem 3076

Consider a Bernoulli scheme of 4000 trials, with the probability of success in a single trial equal to $1 / 4$ . Then
a. The probability that at least 2001 trials will end in success is the same as the probability that at most 1999 trials will end in success.
b. The most probable number of sucesses in this experiment amounts to 1000 c. The probability of not obtaining any successes can be approximated using the Poisson theorem with an appropriate expression for $\lambda=4000 / 4$ , and this will be a good approximation. d. Probability of not getting any successes amounts to (3/4)^4000

See Solution

Problem 3077

Suppose that you borrow $\$ 2000.00$ from a friend and promise to pay back $\$ 3170.00$ in 3 years. What simple interest rate will you pay?
The simple interest rate is $\square$ \% (Round to the nearest tenth as needed.)

See Solution

Problem 3078

The principal P is borrowed at a simple interest rate r for a period of time $t$ . Find the simple interest owed for the use of the money. Assume 360 days in a year. $P=\$ 7000, r=3 \%, t=1 \text { year }$ \\square$

See Solution

Problem 3079

HW 6 - Freefall
You've completed all of the work in this assignment. Question 10 of 10 $1 / 1$
View Policies Show Attempt History
Correct.
Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 5.74 m . The stones are thrown with the same speed of $9.34 \mathrm{~m} / \mathrm{s}$ . Find the location (above the base of the cliff) of the point where the stones cross paths. $D=2.40$ $\square$ $\mathrm{m}$ Attempts: 1 of 5 used Stone 1 Stone 2 $v=9.34 \mathrm{~m} / \mathrm{s}$ $v=9.34 \mathrm{~m} / \mathrm{s}$
1v? (1) $\Delta x=\frac{1}{2} t\left(V_{f}-V_{0}\right)$

See Solution

Problem 3080

9 AM Sun Nov 17 AA webassign.net HSCI130 Fall 2024 BURNABY - CI... Cengage Learning OA10 - MATH 154, [-/13 Points] DETAILS MY NOTES SBIOCALC1 5.1.005. (a) Estimate the area under the graph of $f(x)=1+4 x^{2}$ from $x=-1$ to $x=2$ using three rectangles and right endpoints. $R_{3}=$ $\square$ Then improve your estimate by using six rectangles. $R_{6}=$ $\square$ Sketch the curve and the approximating rectangles for $R_{3}$ . $\begin{array}{r} y \\ 15 \end{array}$

See Solution

Problem 3081

Which expression is equivalent to $4(4 p+9)+p$ ? $\begin{array}{c} 17 p+9 \\ 17 p+36 \\ 5 p+36 \\ 36 p+17 \end{array}$

See Solution

Problem 3082

15.A 200 g mass is attached to a spring whose constant is $50 \mathrm{~N} / \mathrm{m}$ . Originally, the spring is neither stretched nor compressed. Then the mass is released. What will the maximum stretching of the spring be?

See Solution

Problem 3083

Subtract. Write your answer as a fraction or $14 \frac{2}{3}-4 \frac{5}{9}=$ $\square$
Submit

See Solution

Problem 3084

2. Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL . The mercury used to fill the cylinder masses at 306.0 g . From this information, calculate the density of mercury.

See Solution

Problem 3085

One grain of this sand approximately weighs $7 \times 10^{-5} \mathrm{~g}$ . b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard from.

See Solution

Problem 3086

A single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5 .
The probability is $\square$ (Type an integer or a fraction. Simplify your answer.)

See Solution

Problem 3087

One card is randomly selected from a deck of cards. Find the odds against drawing a black ten.
The odds against drawing a black ten are $\square$ $\square$ (Simplify your answers.)

See Solution

Problem 3088

6. Find the mass of 250.0 mL of benzene. The density of benzene is $0.8765 \mathrm{~g} / \mathrm{mL}$ .

See Solution

Problem 3089

Jelani Leak 6 Question 11, 4.6.49 HW Score: $50 \%, 50$ of 100 points Points: 0 of 6 Save
Drug effectiveness decreases over time. If, each hour, a drug is only $85 \%$ as effective as the previous hour, at some point the patient will not be receiving enough medication and must receive another dose. If the initial dose was 150 mg and the drug was administered 3 hr ago, the expression $150(0.85)^{3}$ , which equals 92.1 , represents the amount of effective medication still in the system. (The exponent is equal to the number of hours since the drug was administered.) The amount of medication still available in the system is given by the function $f(t)=150(0.85)^{t}$ . In this model, $t$ is in hours and $f(t)$ is in milligrams. How long will it take for this initial dose to reach the dangerously low level of 60 mg ?

See Solution

Problem 3090

Elisa throws a six-sided dice and a four-sided dice numbered $1,3,5$ and 7 at the same time and adds up the scores.
The sample space diagram below shows all the possible outcomes. \begin{tabular}{|c|c|c|c|c|c|c|} \hline & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ & $\mathbf{4}$ & $\mathbf{5}$ & $\mathbf{6}$ \\ \hline $\mathbf{1}$ & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline $\mathbf{3}$ & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline $\mathbf{5}$ & 6 & 7 & 8 & 9 & 10 & 11 \\ \hline $\mathbf{7}$ & 8 & 9 & 10 & 11 & 12 & 13 \\ \hline \end{tabular}
Find the probability that Elisa gets a total which is 4 or less.

See Solution

Problem 3091

7. A block of lead has dimensions of 4.50 cm by 5.20 cm by 6.00 cm . The block weighs 1587 g. From this information, calculate the density of lead.

See Solution

Problem 3092

Word problem involing calculations from a normal distribution 0.5 Natasha
A ride-sharing company has computed its mean fare to be $\$ 33.00$ , with a standard deviation of $\$ 5.20$ . Suppose that the fares are normally distributed. Español
Complete the following statements. (a) Approximately $\square$ of the company's rides have fares between $\$ 17.40$ and $\$ 48.60$ . (b) Approximately $68 \%$ of the company's rides have fares between $\$$ $\square$ and \\square$ .

See Solution

Problem 3093

Writing Recursive Formulas to Model Sequence Situations CL MATHIA < Unit Overview Step-by-Step Sample Problem Hints 88 HT G Cell Analogy to a C... C Gould Linear Functio Home Audio Support 00 System Help Finish undate Alf Bookmans Glossary Karen Nolasco I'm Done I'm Danc Marvin's football league plays its own version of the game where every offensive penalty pushes a team back half the distance to its goal line. His team is not very good, often committing many consecutive penalties. Its first penalty pushes his team back to its own 16 yard line. Another penalty puts them at their own 8 yard line, and a 3rd penalty puts them 4 yards from the goal line. A 4th penalty sets them back to the 2 yard line, and a 5th penalty puts them at the 1 yard line.
1. Recognize and Describe The first term is
2. Classify
3. Write Recursive Formula Each term is equal to the previous term Assuming the team commits one more consecutive penalty, how many yards will it be from its goal line? A CARNEGIE © 2023 Carnegie Learning LEAN 1:20 PM 11/17/2024

See Solution

Problem 3094

A uniform stream of speed $U>0$ at an angle $\alpha$ to the positive $x$ -axis flows past a circular cylinder of radius $a$ . The circulation around the cylinder is $k>0$ . a) Write down the complex potential for the flow. $w=$ $\square$ b) Give conditions for the existence of just one stagnation point on the cylinder: $\theta=$ $\square$ and $\kappa=$ $\square$

See Solution

Problem 3095

Current Attempt in Progress Iverson Company purchased a delivery truck for $\$ 45,000$ on January 1, 2027. The truck was assigned an estimated useful life of five years and has a residual value of $\$ 10,000$ . Compute depreciation expense using the double-declining-balance method for the years 2027 and 2028.
Depreciation expense for 2027 \\square $Depreciation expense for 2028 \$$ \square$
Save for Later Attempts: 0 of 1 used Submit Answer

See Solution

Problem 3096

< Unit Overview Step-by-Step Sample Problem Hints
Norman discovers a new animal species that has a lifespan of one week and has 2 offspring just before dying. At the end of the 1 st week, Norman counts 3 such animals. A week later animals, and a week after that there are 12 animals. After the 4 th week, there are 24 animals, and a week later there are 48 animals.
1. Recognize and Describe
The first term is 3 . Each term is equal to the previous term $\square$ $\square$ .
2. Classify
3. Write Recursive Formula
How many animals would there be after another week? $\square$

See Solution

Problem 3097

USE YOUR KNOWLEDGE OF CIRCLES TO ANSWER EACH QUESTION BELOW. DRAG THE CORRECT SOLUTION TO THE WHITE BOX. NOT ALL CHOICES WILL BE USED.
1 Brad will put fencing around a circular area in his yard for some baby goats he purchased. If the circular area will have a radius of 10 feet, how many feet of fencing will Brad need? $\square$ ft
3 Kaitlin is choosing between iwo circular wall clocks. One has a radius of 5 inches while the other has a radius of 6 inches. How much more wall space will the clock with a radius of 6 inches cover? $\square$ $\mathrm{in}^{2}$
2 Pam ordered a circular hot tub cover with a diameter of 80 inches. Find the area of the hot tub cover. $\square$ $i n^{2}$
5024 251.2 31.4 34.54
37 18.5 62.8
DRAG THESE

See Solution

Problem 3098

IQ scores: Scores on an IQ test are normally distributed. A sample of 12 IQ scores had standard deviation $s=6$ . (a) Construct an $80 \%$ confidence interval for the population standard deviation $\sigma$ . Round the answers to at least two decimal places. (b) The developer of the test claims that the population standard deviation is $\sigma=6$ . Does this confidence interval contradict this claim? Explain.
Part: $0 / 2$
Part 1 of 2
An $80 \%$ confidence interval for the population standard deviation is $\square<\sigma<\square$ .

See Solution

Problem 3099

Fill in the blanks so that the resulting statement is true.
In the formula A = $A=\frac{P\left[\left(1+\frac{r}{n}\right)^{n t}-1\right]}{\left(\frac{r}{n}\right)}$ $\square$ is the deposit made at the End of each compounding period, $\square$ is the annual interest rate compounded $\square$ times per year, and $A$ is the $\square$ after $\square$ years.

See Solution

Problem 3100

Fill in each blank so the resulting statement is true.
Shares of ownership in a company are called $\square$ If you sell shares for more money than what you paid for them you have a/an $\square$ gain on the sale. Some companies distribute all or part of their profits to shareholders as $\square$

See Solution

1 ...28 29 30 31 32 33 34 ...122

Word Problem

Problem 3001

Length word problem (US customary) Olaf measured his arm and nose to see how long they were. The carrot for his nose measures 7 inches long. The branch for his arm measures 24 inches long.How much longer is Olaf's arm than his nose? □\square□ inches

Problem 3002

Problem 3003

Problem 3004

(ii) Find p(x)p(x)p(x). f(x)f(x)f(x) is defined by f(x)=x3+5,x∈Rf(x)=x^{3}+5, x \in \mathbb{R}f(x)=x3+5,x∈R. Find the value of xxx such that fg(2x)=13f g(2 x)=13fg(2x)=13 if g(x)=3x−10g(x)=3 x-10g(x)=3x−10. [3 marks]

Problem 3005

Find the interval on the number line that includes the numbers: −3,−4,−6,−5, and −2.\text{Find the interval on the number line that includes the numbers: } -3, -4, -6, -5, \text{ and } -2.Find the interval on the number line that includes the numbers: −3,−4,−6,−5, and −2.

Problem 3006

Problem 3007

Problem 3008

Problem 3009

Problem 3010

Problem 3011

Problem 3012

Problem 3013

Problem 3014

Problem 3015

The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting a 4, given that a green disk is selected.Find the probability of selecting a 4 , given that a green disk is selected. □\square□ (Type an integer or a simplified fraction.)

Problem 3016

Problem 3017

Problem 3018

Problem 3019

Problem 3020

a) Write 1891 \frac{8}{9}198​ as an improper fraction in its simplest form. b) Use your answer to part a) to work out 5÷1895 \div 1 \frac{8}{9}5÷198​ Give your answer as a fraction in its simplest form.

Problem 3021

Problem 3022

Problem 3023

A club with eight members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled? □\square□ ways

Problem 3024

Problem 3025

Problem 3026

Which of these are financing costs? Select all that apply. Repayment of bond principal Stock repurćhase Stock dividend Bond interest

Problem 3027

a) Write 1471 \frac{4}{7}174​ as an improper fraction in its simplest form. b) Use your answer to part a) to work out 13÷147\frac{1}{3} \div 1 \frac{4}{7}31​÷174​ Give your answer as a fraction in its simplest form.

Problem 3028

Problem 3029

Problem 3030

Problem 3031

Problem 3032

A line passes through the points (1,4)(1,4)(1,4) and (5,8)(5,8)(5,8). A second line passes through the points (2,10)(2,10)(2,10) and (6,4)(6,4)(6,4). At what point do the two lines intersect?A (2,10)(2,10)(2,10) B. (3,6)(3,6)(3,6) c. (4,7)(4,7)(4,7) D. (5,8)(5,8)(5,8)

Problem 3033

Problem 3034

Original cost, $55,000\$ 55,000$55,000, life, 10 years, annual rate of value lost, 14%14 \%14% s=$\mathrm{s}=\$s=$ (Round to the nearest cent.)

Problem 3035

Nathan and Jackson are each saving money. - Nathan has $15\$ 15$15 saved and plans to save $5\$ 5$5 more each week. - Jackson has $25\$ 25$25 saved and plans to save $4\$ 4$4 more each week.How many weeks will it be before both boys have saved the same amount of money?

Problem 3036

Problem 3037

a) Write 2142 \frac{1}{4}241​ as an improper fraction in its simplest form. b) Work out 214×52 \frac{1}{4} \times 5241​×5. Give your answer as a fraction in its simplest form.

Problem 3038

Problem 3039

Problem 3040

Problem 3041

Josh rented a truck for one day. There was a base fee of $19.95\$ 19.95$19.95, and there was an additional charge of 77 cents for each mile driven. Josh had to pay $133.14\$ 133.14$133.14 when he returned the truck. For how many miles did he drive the truck? □\square□ miles

Problem 3042

David will spend at most $30\$ 30$30 on gifts. So far, he has spent $21\$ 21$21. What are the possible additional amounts he will spend? Use ccc for the additional amount (in dollars) David will spend. Write your answer as an inequality solved for ccc.

Problem 3043

Problem 3044

Translate the sentence into an equation. Twice the difference of a number and 6 equals 5 . Use the variable xxx for the unknown number. □\square□

Problem 3045

Translate the sentence into an equation. Two less than the product of 3 and a number is 5 . Use the variable yyy for the unknown number.

Problem 3046

Translate the sentence into an equation. Seven times the sum of a number and 9 equals 2. Use the variable xxx for the unknown number. □\square□

Problem 3047

3 Homework Question 5, 4.1.43-BE HW Score: 22.22\%, 12 of 54 points Points: 0 of 4Original cost, $61,000;\$ 61,000 ;$61,000; life, 7 years; annual rate of value lost, 11%11 \%11% S=$\mathrm{S}=\$S=$ □\square□ (Round to the nearest cent.)

Problem 3048

(a) Convert 540∘540^{\circ}540∘ to radian measure in terms of π\piπ. □\square□ radians (b) Convert −13π6-\frac{13 \pi}{6}−613π​ radians to degree measure. □\square□

Problem 3049

(a) Convert 300∘300^{\circ}300∘ to radian measure in terms of π\piπ. □\square□ radians (b) Convert 45∘45^{\circ}45∘ to radian measure in terms of π\piπ. □\square□ radians

Problem 3050

What is the output of the following program: ``` int main() { bool m; m = 10<3; cout << m; return 0; } ``` a. true (1) b. false (0) c. 10<3\quad 10<310<3 d. 103

Problem 3051

Suppose there is a list of ten jokes about books. In how many ways can these ten jokes be ranked from best to worst?The ten jokes can be ranked from best to worst in □\square□ different ways. (Simplify your answer. Type a whole number.)

Problem 3052

Problem 3053

Problem 3054

Problem 3055

Problem 3056

Problem 3057

Length word problem (US customary) Olaf measured his arm and nose to see how long they were. The carrot for his nose measures 7 inches long. The branch for his arm measures 24 inches long.
How much longer is Olaf's arm than his nose? $\square$ inches

(ii) Find $p(x)$ . $f(x)$ is defined by $f(x)=x^{3}+5, x \in \mathbb{R}$ . Find the value of $x$ such that $f g(2 x)=13$ if $g(x)=3 x-10$ . [3 marks]

$\text{Find the interval on the number line that includes the numbers: } -3, -4, -6, -5, \text{ and } -2.$

The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting a 4, given that a green disk is selected.
Find the probability of selecting a 4 , given that a green disk is selected. $\square$ (Type an integer or a simplified fraction.)

a) Write $1 \frac{8}{9}$ as an improper fraction in its simplest form. b) Use your answer to part a) to work out $5 \div 1 \frac{8}{9}$ Give your answer as a fraction in its simplest form.

A club with eight members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled? $\square$ ways

a) Write $1 \frac{4}{7}$ as an improper fraction in its simplest form. b) Use your answer to part a) to work out $\frac{1}{3} \div 1 \frac{4}{7}$ Give your answer as a fraction in its simplest form.

A line passes through the points $(1,4)$ and $(5,8)$ . A second line passes through the points $(2,10)$ and $(6,4)$ . At what point do the two lines intersect?
A $(2,10)$ B. $(3,6)$ c. $(4,7)$ D. $(5,8)$

Original cost, $\$ 55,000$ , life, 10 years, annual rate of value lost, $14 \%$ $\mathrm{s}=\$$ (Round to the nearest cent.)

Nathan and Jackson are each saving money. - Nathan has $\$ 15$ saved and plans to save $\$ 5$ more each week. - Jackson has $\$ 25$ saved and plans to save $\$ 4$ more each week.
How many weeks will it be before both boys have saved the same amount of money?

a) Write $2 \frac{1}{4}$ as an improper fraction in its simplest form. b) Work out $2 \frac{1}{4} \times 5$ . Give your answer as a fraction in its simplest form.

Josh rented a truck for one day. There was a base fee of $\$ 19.95$ , and there was an additional charge of 77 cents for each mile driven. Josh had to pay $\$ 133.14$ when he returned the truck. For how many miles did he drive the truck? $\square$ miles

David will spend at most $\$ 30$ on gifts. So far, he has spent $\$ 21$ . What are the possible additional amounts he will spend? Use $c$ for the additional amount (in dollars) David will spend. Write your answer as an inequality solved for $c$ .

Translate the sentence into an equation. Twice the difference of a number and 6 equals 5 . Use the variable $x$ for the unknown number. $\square$

Translate the sentence into an equation. Two less than the product of 3 and a number is 5 . Use the variable $y$ for the unknown number.

Translate the sentence into an equation. Seven times the sum of a number and 9 equals 2. Use the variable $x$ for the unknown number. $\square$

3 Homework Question 5, 4.1.43-BE HW Score: 22.22\%, 12 of 54 points Points: 0 of 4
Original cost, $\$ 61,000 ;$ life, 7 years; annual rate of value lost, $11 \%$ $\mathrm{S}=\$$ $\square$ (Round to the nearest cent.)

(a) Convert $540^{\circ}$ to radian measure in terms of $\pi$ . $\square$ radians (b) Convert $-\frac{13 \pi}{6}$ radians to degree measure. $\square$

(a) Convert $300^{\circ}$ to radian measure in terms of $\pi$ . $\square$ radians (b) Convert $45^{\circ}$ to radian measure in terms of $\pi$ . $\square$ radians

What is the output of the following program: ``` int main() { bool m; m = 10<3; cout << m; return 0; } ``` a. true (1) b. false (0) c. $\quad 10<3$ d. 103

Suppose there is a list of ten jokes about books. In how many ways can these ten jokes be ranked from best to worst?
The ten jokes can be ranked from best to worst in $\square$ different ways. (Simplify your answer. Type a whole number.)

For each given value of $x$ , determine the value of $y$ that gives a solution to the given linear equations in two unknowns. $3 x-2 y=18 ; \quad x=4, x=-5$
If $x=4$ what is $y$ ? $\square$

(a) Find an angle between 0 and $2 \pi$ that is coterminal with $-\frac{5 \pi}{3}$ . (b) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $510^{\circ}$ . Give exact values for your answers.

Answer the following. (a) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $1260^{\circ}$ . (b) Find an angle between 0 and $2 \pi$ that is coterminal with $-\frac{23 \pi}{12}$ .
Give exact values for your answers.

Answer the following. (a) Find an angle between 0 and $2 \pi$ that is coterminal with $\frac{17 \pi}{4}$ . (b) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $-32^{\circ}$ . Give exact values for your answers.

Round intermediate calculations and final answer to four decimal places. Find the point on the parabola $y=16-x^{2}$ closest to the point $(9,17)$ . Closest point is $\square$ , $\square$ ) with the distance of $\square$ .

A box contains 15 transistors, 4 of which are defective. If 4 are selected at random, find the probability of the statements below. a. All are defective b. None are defective a. The probability is $\square$ (Type a fraction. Simplify your answer.)

A beaker contains 75 milliliters ( mL ) of liquid solution composed of water and borie aeid in the ratio 16:9. How much boric acid must be added to the beaker to make the ratio $1: 1$ ?