Browse Analyze problems Studdy Solved!

Problem 2701

Directions: Determine whether each relation is a function.
6. $\{(5,12),(-4,9),(-2,-7),(-4,0),(3,2)\}$
7. $\{(-1,1),(-2,3),(-3,5),(-4,7),(-5,9)\}$ $N \sqrt{N}$ $\checkmark$ $\square$ 8. \begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & -8 & -4 & 0 & 4 & 8 \\ \hline $y$ & 5 & 1 & -2 & 1 & 5 \\ \hline \end{tabular} 9. \begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & 7 & 7 & 7 & 7 & 7 \\ \hline $y$ & 0 & -5 & -8 & 4 & 3 \\ \hline \end{tabular} 10. 11. 12. Q Gina Wilson (All Things Algebra*， LLC), 2016

See Solution

Problem 2702

55° 30° b C 30°

See Solution

Problem 2703

Cost Flow Methods
The following three identical units of Item Alpha are purchased during April:
Assume that one unit is sold on April 30 for $\$ 132$ . Determine the gross profit for April and ending inventory on April 30 using the (a) first-in, first-out (FIFO); (b) last-in, first-out (LIFO); and (c) weighted average cost methods. \begin{tabular}{lll} & Gross Profit & Ending Inventory \\ \hline a. First-in, first-out (FIFO) & $\$ \square$ \\ b. Last-in, first-out (LIFO) & $\$ \square$ \\ c. Weighted average cost & $\$ \square$ \end{tabular}

See Solution

Problem 2704

Zeichnen Sie die Punkte und den Vektor $\overrightarrow{P Q}$ in ein Koordinatensystem. Berechnen Sie die Koordinaten des Vektors $\overrightarrow{\mathrm{PQ}}$ und vergleichen Sie mit der Skizze. a) $P(0 \mid 0), Q(5 \mid-2)$ b) $P(2 \mid 3), Q(7 \mid 4)$ c) $P(-4|-3|-1), Q(0|4|-2)$ d) $P(-1|4|-2), Q(2|-3|-4)$ e) $P(4|6| 5), Q(0|0| 0)$ f) $P(7|3| 1), Q(7|3| 1)$

See Solution

Problem 2705

Basisaufgaben
1. Zeichnen Sie zum Vektor drei Vektorpfeile in ein Koordinatensystem. Geben Sie jeweils die Anfangs- und Endpunkte der Pfeile an. a) $\binom{1}{2}$ b) $\binom{0}{-1}$ c) $\binom{2}{0}$ d) $\binom{-1}{-3}$ e) $\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right)$ f) $\left(\begin{array}{r}1 \\ 0 \\ -1\end{array}\right)$ g) $\left(\begin{array}{r}1 \\ 3 \\ -2\end{array}\right)$ h) $\left(\begin{array}{r}-2 \\ -1 \\ 3\end{array}\right)$

See Solution

Problem 2706

Perpetual Inventory Using FIFO Beginning inventory, purchases, and sales for Item Doodad are as follows: \begin{tabular}{r|l|l} July 1 & Inventory & 90 units at \21 \\ \hline 7 & Sale & 79 units \\ \hline 15 & Purchase & 160 units at \ $24$ \\ \hline 24 & Sale & 70 units \end{tabular}
Assuming a perpetual inventory system and using the first-in, first-out (FIFO) method, determine (a) the cost of merchandise sold on July 24 and (b) the inventory on July 31. a. Cost of merchandise sold on July 24 $\$$ $\square$ b. Inventory on July 31 \$

See Solution

Problem 2707

Ten workers of equal efficiency are working on manufacturing 7 industrial widgets of different sizes. If all ten work together, it will take 13 days to make the $1^{\text {st }}$ widget, 12 days to make the $2^{\text {nd }}$ widget, 11 days to make the $3^{\text {rd }}$ widget, and so on. The factory manager decides to engage 4 workers on the $1^{\text {st }}$ widget and one worker on each of the remaining 6 widgets. No worker is removed from the work on a specific widget before it is finished. The moment the $1^{\text {st }}$ widget is complete, he assigns those 4 workers on the $2^{\text {nd }}$ widget. Once the $2^{\text {nd }}$ widget is complete, he assigns 5 workers working the $2^{\text {nd }}$ widget on the $3^{\text {rd }}$ widget, and so on. What percentage of the seventh widget was completed by the worker who started the work on that widget?
Enter your response (as an integer) using the virtual keyboard in the box provided below.

See Solution

Problem 2708

Ventes mensuelles d'un produit (Mentionnez le titre dans la feuille de réponse) Données: $150,160,170,180,200,210,220,250,300,350,150,160,170,180,160,170,180,290,370$ Questions :
1. Calculez la moyenne des ventes mensuelles.
2. Calculez l'écart type des ventes.
3. Calculez la médiane des ventes.
4. Calculez les quartiles Q1 et Q3 des ventes.
5. Dessinez le diagramme en boîte.

See Solution

Problem 2709

A rectangular piece of dimensions $3 \mathrm{~cm} \times 2 \mathrm{~cm}$ was cut from a rectangular sheet of paper of divension $8 \mathrm{~cm} \times 5 \mathrm{~cm}(\mathrm{Fgg} \cdot 14)$
Area of rectangle sheet of paper is

See Solution

Problem 2710

Exercice 7. Étudier la dérivabilité des fonctions suivantes aux points indiqués : $f(x)=\left\{\begin{array}{lll} \left|x^{2}-4\right| & \text { si } & x \leq 2 \\ \frac{x^{2}-x-2}{x^{2}+1} & \text { si } & x>2 . \end{array} \quad x_{0}=2, \quad g(x)=\left\{\begin{array}{ll} \frac{2^{x+2}-16}{4^{x}-16} & \text { si } x \neq 2 \\ \frac{1}{2} & \text { si } x=2 . \end{array}\right.\right.$

See Solution

Problem 2711

SFBM A

See Solution

Problem 2712

3. 21. Supozojmë se $X$ ka densitet $f(x)=e^{-x}, \quad x>0$ (a) Llogaritni funksionin prodhues të momenteve të $X$ dhe gjeni pritjen matematike, mesataren dhe dispersionin. (b) Gjeni pritjen matematike drejtpërsëdrejti nga përkufizimi.

See Solution

Problem 2713

2 Desenați cubul $A B C D A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ și stabiliți poziția dreptei: a $A B$ față de planul ( $A D D^{\prime}$ ); b $A^{\prime} C$ față de planul $(A B C)$ ; c $B C^{\prime}$ față de planul (CBB'); d $C C^{\prime}$ față de planul ( $\left.A B B^{\prime}\right)$ ; e $B^{\prime} C^{\prime}$ față de planul $\left(A D D^{\prime}\right)$ ; f $A D^{\prime}$ față de planul $\left(B B^{\prime} C^{\prime}\right)$ .

See Solution

Problem 2714

Find the common difference $d$ of each arithmetic sequence. 1) $\{5,8,11,14,17, \ldots\}$ $\square$ Check Show answer 2) $\{4,0,-4,-8,-12, \ldots\}$ $\square$ Check
Show answer

See Solution

Problem 2715

Consider the arrangement of all letters of word MOTALE. Then
One/More correct answer(s) A. Number of arrangements in which vowels and consonants are alternate is $2.3!3$ ! B. Number of arrangements in which vowels are alternate is $3!3$ ! C. Number of arrangements in which consonants come before vowels is 3 ! 3 ! D. Number of arrangements in which vowels are in alphabetical order is $\frac{6!}{3!}$

See Solution

Problem 2716

10 Are 15 2/2

See Solution

Problem 2717

The table on the right gives the popular and electoral votes for the two major candidates for a presidential election. The total popular vote count including votes that went to other candidates is also given. All electoral votes are shown. Complete parts (a) and (b) below. \begin{tabular}{|lcc|} \hline Candidate & \begin{tabular}{c} Electoral \\ Votes \end{tabular} & \begin{tabular}{c} Popular \\ Votes \end{tabular} \\ \hline A & 183 & $4,273,071$ \\ B & 184 & $4,028,816$ \\ \hline Total popular vote & & $8,398,044$ \\ \hline \end{tabular} a. Compute each candidate's percentage of the total popular vote. Did either candidate receive a popular majority?
Candidate A received $5088 \%$ of the total popular vote. (Round to two decimal places as needed.) Candidate B received $47.97 \%$ of the total popular vote (Round to two decimal places as needed.) Which candidate, if either, received a popular majority? A. Candidate B received a popular majority. B. Neither candidate received a popular majority C. Candidate A received a popular majority. b Compute each candidate's percentage of the electoral vote. Was the electoral winner also the winner of the popular vote? Candidate A received $\square$ $\%$ of the electoral vote (Round to two decimal places as needed.)

See Solution

Problem 2718

5 Determina, em graus, 0 valor arredondado às décimas da inclinação de cada uma das retas de equação: 5.1. $(x, y)=(1,1)+k(2,3)$ ; $k \in \mathbb{R}$ 5.2. $y=-2 x+1$ 5.3. $2 y-x+3=0$ 5.4. $(x, y)=(0,3)+k(-2, \pi)$ ; $k \in \mathbb{R}$ 5.5. $y=\pi x-2$

See Solution

Problem 2719

5 Determina, em graus, 0 valor arredondado às décimas da inclinação de cada uma das retas de equação: 5.1. $(x, y)=(1,1)+k(2,3)$ ; $k \in \mathbb{R}$ 5.2. $y=-2 x+1$ 5.3. $2 y-x+3=0$ 5.4. $(x, y)=(0,3)+k(-2, \pi)$ ; $k \in \mathbb{R}$ 5.5. $y=\pi x-2$

See Solution

Problem 2720

72-78 Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?
72. $a_{n}=\cos n$

See Solution

Problem 2721

\begin{tabular}{|c|c|c|c|c|c|c|} \hline $x$ & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline $\sum_{n=0}^{\infty} a_{n}(x-b)^{n}$ & diverges & \begin{tabular}{c} converges \\ conditionally \end{tabular} & \begin{tabular}{c} converges \\ absolutely \end{tabular} & \begin{tabular}{c} converges \\ absolutely \end{tabular} & \begin{tabular}{c} converges \\ absolutely \end{tabular} & diverges \\ \hline \end{tabular}
Consider the power series $\sum_{n=0}^{\infty} a_{n}(x-b)^{n}$ , where $b$ is an integer. The convergence or divergence of the series at various values of $x$ is shown in the table above. What is the interval of convergence for the power series? (A) $(-2,2)$ (B) $(-2,3)$ (C) $[-1,2]$ (D) $[-1,3)$

See Solution

Problem 2722

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 2723

8 Mark for Review 40
The radius of convergence of the power series $\sum_{n=0}^{\infty} \frac{n!(n+1)!}{(2 n)!} x^{n}$ is (A) 0
B 1 (C) 2 (D) 4

See Solution

Problem 2724

Use the ratio or root test to determine if the following series are convergent or divergent. If the ratio or the root test fails, indicate why.
1. $\sum_{n=1}^{\infty} \frac{1}{n!}$
5. $\sum_{n=1}^{\infty} \frac{3}{4^{n}}$
2. $\sum_{n=1}^{\infty}\left(\frac{4}{3}\right)^{n}$
6. $\sum_{n=2}^{\infty} \frac{3^{n}}{(2 n)!}$
3. $\sum_{n=1}^{\infty} \frac{1}{n+1}$
7. $\sum_{n=2}^{\infty} \frac{n}{4^{n}}$
4. $\sum_{n=1}^{\infty} \frac{(3 n)!}{n!}$
8. $\sum_{n=2}^{\infty} \frac{1}{\sqrt{n}}$

See Solution

Problem 2725

The Taylor series for $\sin x$ about $x=0$ is given by $\sum_{n=1}^{\infty}(-1)^{n+1} \frac{x^{2 n-1}}{(2 n-1)!}$ and converges to $\sin x$ for all $x$ . If the ninth-degree Taylor polynomial for $\sin x$ about $x=0$ is used to approximate $\sin 2$ , what is the alternating series error bound? (A) $\frac{2^{9}}{9!}$ (B) $\frac{2^{10}}{10!}$ (C) $\frac{2^{11}}{11!}$ (D) $\frac{2^{10}}{19!}$

See Solution

Problem 2726

Find the radius and interval of convergence for each of the following series.
9. $\sum_{n=2}^{\infty} \frac{(3 x-1)^{n}}{\ln (n)}$
13. $\sum_{n=1}^{\infty}(x-3)^{n}(2 n)$ !
10. $\sum_{n=1}^{\infty} \frac{(2 x-1)^{n}}{n+4}$
14. $\sum_{n=1}^{\infty}(4 x+1)^{n} n$
11. $\sum_{n=1}^{\infty} \frac{x^{n}}{(2 n)!}$
15. $\sum_{n=1}^{\infty} \frac{(x-4)^{n}}{\sqrt{n+3}}$
12. $\sum_{n=1}^{\infty} \frac{(2 x-1)^{n}}{n^{2}+1}$
16. $\sum_{n=1}^{\infty} \frac{x^{n}}{n^{\pi}}$

See Solution

Problem 2727

Find the degree and the leading coefficient for the given polynomial function. $f(x)=-5 x^{2}+5 x+2$

See Solution

Problem 2728

-6 3. Given $f(x)=\frac{x+3}{x-5}$ and $g(x)=\sqrt{5 x}$ find the following: $X$ (a) Does $(f \circ g)(5)$ exist? If so, find its' value. If not, explain why it does not exist. b) $(f \circ g)(x)$ $\frac{\sqrt{5(5)}+3}{\sqrt{5(5)}-5}=1.78$ $f(g(x))$ $\frac{\sqrt{5 x}+3}{\sqrt{5 x}-5}$ c) $(g \circ f)(x)$ $\sqrt{5\left(\frac{x+3}{x-5}\right)}$ d) The domain of part $b$ E e) The domain of part c 12

See Solution

Problem 2729

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

See Solution

Problem 2730

$\lim _{x \rightarrow 0} \cos x=1$

See Solution

Problem 2731

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 2732

Authe Engine MyLab Home Quiz (5 Week com/Student/PlayerTest. aspx?testld=264918870 iam Berech) FA24 Question 1 of 14
Find or approximate all points at which the given function equals its average value on the given interval. $f(x)=-\frac{\pi}{8} \sin x \text { on }[-\pi, 0]$
The function is equal to its average value at $x=$ $\square$ (Round to one decimal place as needed. Use a comma to separate answers as needed.) ureld=\&theme=math\&style=highered\&disableStandbylndicator=true\&assignmentHandlesLocale=true\&enablelesSession

See Solution

Problem 2733

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 2734

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 2735

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 2736

Weight loss: In a study to determine whether counseling could help people lose weight, a sample of people experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 14 people. Assume the population is approximately normal. Perform a hypothesis test to determine whether the mean weight loss is greater than 14 pounds. Use the $\alpha=0.10$ level of significance and the $P$ -value method with the TI-84 Plus calculator. \begin{tabular}{ccccccc} \hline 19.6 & 25.8 & 4.9 & 21.0 & 18 & 9.6 & 14.4 \\ 18.0 & 34.7 & 30.6 & 9.4 & 32.5 & 20.8 & 16.4 \\ \hline \end{tabular} Send data to Excel
Part: $0 / 5$
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$
This hypothesis test is a (Choose one) $\boldsymbol{\nabla}$ test. $\square$

See Solution

Problem 2737

$3^{2}-2 \cdot 3+u=\left(3^{3}-3 \cdot 8\right)(2)+u$

See Solution

Problem 2738

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 2739

Exploring... $\sin (B)=\frac{\text { opposite }}{\text { hypotenuse }}$ $\cos (B)=\frac{\text { adjacent }}{\text { hypotenuse }}$ $\tan (B)=\frac{\text { opposite }}{\text { adjacent }}$ 1) Which ratio represents $\cos A$ in the accompanying diagram of $\triangle A B C$ ? (1) $\frac{5}{13}$ (3) $\frac{12}{5}$ (2) $\frac{12}{13}$ (4) $\frac{13}{5}$

See Solution

Problem 2740

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 2741

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 2742

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 2743

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

See Solution

Problem 2744

Find and sketch the domain of the function. $g(x, y)=\frac{x-y}{x+y}$

See Solution

Problem 2745

Fill in the blank so that the resulting statement is true. The theoretical probability of event $E$ , denoted by $\qquad$ is the $\qquad$ divided by $\qquad$ $\qquad$
The theoretical probability of event $E$ , denoted by $\square$ is the $\square$ divided by $\square$

See Solution

Problem 2746

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 2747

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 2748

The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, expressed in millions, to find the probability that a randomly selected citizen, aged 25 or over, was a man with less than 4 years of high school. \begin{tabular}{|l|c|c|c|c|c|} \hline & \begin{tabular}{c} Less Than \\ 4 Years \end{tabular} & \begin{tabular}{c} 4 Years \\ High School \\ Only \end{tabular} & \begin{tabular}{c} Some College \\ (Less Than \\ 4 Years) \end{tabular} & \begin{tabular}{c} 4 Years \\ College \\ (or More) \end{tabular} & \begin{tabular}{c} Total \end{tabular} \\ \hline Male & 14 & 22 & 20 & 25 & 81 \\ \hline Female & 17 & 28 & 23 & 18 & 86 \\ \hline Total & 31 & 50 & 43 & 43 & 167 \\ \hline \end{tabular}
The probability that a randomly selected citizen, aged 25 or over, was a man with less than 4 years of high school is $\square$ (Type an integer or a simplified fraction.)

See Solution

Problem 2749

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 2750

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 2751

Sketch $\theta=-\frac{2 \pi}{3}$ in standard position.

See Solution

Problem 2752

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 2753

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 2754

(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 2755

Exercice 1: Calculer le domaine de définition des fonctions définies par: 1) $\begin{array}{l} \left.f(x)=\frac{x^{2}+3}{1-|x|}, 2\right) g(x)=\sqrt{\frac{x-3}{x+5}} \\ \left.k(x)=\frac{1}{1+\sin 2 x^{2}} 5\right) \ln \frac{\left(x^{2}+3 x+2\right)}{\left(x^{2}+3 x-4\right)} \end{array}$ 3) $h(x)=\frac{\sin n x}{\cos n x}, n \in N^{*}$ 4)

See Solution

Problem 2756

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 2757

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 2758

7 a) Explain the concepts of regression and correlation analyses. [2 marks] b) The following data refer to the ages and prices of various bus models on the market: \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline Age (In Years) & 5 & 6 & 3 & 2 & 4 & 7 & 8 & 9 \\ \hline Bus Price (\000) & 16 & 14 & 22 & 25 & 18 & 12 & 10 & 8 \\ \hline \end{tabular} b.1) Determine the independent and dependent variables of the data. [2 marks] b.2) Show the data on a scatter plot and comment on the distribution. [3 marks] b.3) Estimate the Ordinary Least Squares (OLS) model connecting the two variables. Interpret your estimated linear regression coefficients. [5 marks] b.4) Estimate the price of a bus that is 12 years old. [2 marks] b.5) Calculate Pearson's product moment correlation coefficient and the coefficient of determination. Appraise your findings. [6 marks] b.6) Test the claim that the age has no effect on the price of a bus at 5 \%$ level. [ 5 marks]

See Solution

Problem 2759

7 a) Explain the concepts of regression and correlation analyses. [2 marks] b) The following data refer to the ages and prices of various bus models on the market: \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline Age (In Years) & 5 & 6 & 3 & 2 & 4 & 7 & 8 & 9 \\ \hline Bus Price (\000) & 16 & 14 & 22 & 25 & 18 & 12 & 10 & 8 \\ \hline \end{tabular} b.1) Determine the independent and dependent variables of the data. [2 marks] b.2) Show the data on a scatter plot and comment on the distribution. [3 marks] b.3) Estimate the Ordinary Least Squares (OLS) model connecting the two variables. Interpret your estimated linear regression coefficients. [5 marks] b.4) Estimate the price of a bus that is 12 years old. [2 marks] b.5) Calculate Pearson's product moment correlation coefficient and the coefficient of determination. Appraise your findings. [6 marks] b.6) Test the claim that the age has no effect on the price of a bus at 5 \%$ level. [ 5 marks]

See Solution

Problem 2760

Find the domain of the function defined by the set of points below. F answer as a set of numbers. $(-3,9),(4,-5),(-5,4)$
Answer Attempt 1 out of 3

See Solution

Problem 2761

(9) Point of symmetry of the function $f(x)=\frac{1}{x+3}+2$ is $\qquad$ (a) $(3,-2)$ (b) $(-3,-2)$ (c) $(3,2)$ (d) $(-3,2)$

See Solution

Problem 2762

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 2763

Use the intercepts to graph the equation. $5 x-3 y=15$

See Solution

Problem 2764

19. $3(2-b)<10-3(b-6)$

See Solution

Problem 2765

In a random sample of 29 residents living in major cities on the West Coast (Group 1) and 29 reaults can be seen in the table below. The population standard deviation of the age in Weat Coast cities is known to be 10.95 years and in East Coast cities is known to be 9.67 years. Assume the populations are normally distributed. Run a test at a 0.05 level of aignificence to test if west coast cities are, on average, older. \begin{tabular}{|c|c|} \hline \begin{tabular}{l} West Const \\ (Group 1) \end{tabular} & \begin{tabular}{l} East Coast \\ (Group 2) \end{tabular} \\ \hline 25 & 35 \\ \hline 47 & 45 \\ \hline 18 & 37 \\ \hline 38 & 20 \\ \hline 30 & 19 \\ \hline 52 & 26 \\ \hline 52 & 79 \\ \hline 61 & 46 \\ \hline 43 & 29 \\ \hline 22 & 55 \\ \hline 34 & 25 \\ \hline 35 & 35 \\ \hline 55 & 36 \\ \hline 60 & 53 \\ \hline 68 & 41 \\ \hline 20 & 50 \\ \hline 34 & 32 \\ \hline 36 & 38 \\ \hline 37 & 26 \\ \hline 42 & 44 \\ \hline 60 & 19 \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline 71 & 28 \\ \hline 54 & 27 \\ \hline 20 & 18 \\ \hline 45 & 30 \\ \hline 52 & 21 \\ \hline 34 & 22 \\ \hline 58 & 43 \\ \hline 64 & 61 \\ \hline \end{tabular}
Enter the test atatistic - round to ecimal places.
Test Statistic $z=$

See Solution

Problem 2766

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 2767

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

See Solution

Problem 2768

(1)) 新, How many solutions does this equation have? $-8 u-7(-2 u+2)=6 u-14$ 1)）㸚 $\square$ one solution infinitely many solutions

See Solution

Problem 2769

6. Find the value of the 30 th percentile of the data. $18,9,7,5,11,7,17,20,19,2,17,12,5,1,13,12,11,15,16,20$

See Solution

Problem 2770

(26) If $f(x)=\left\{\begin{array}{ll}\mathrm{a} x^{2}-3, & x \neq 2 \\ 2 \mathrm{a} & , x=2\end{array}\right.$ is continuous at $x=2$ , then $\mathrm{a}=$ (a) $\frac{1}{2}$ (b) $\frac{2}{3}$ (c) $\frac{3}{2}$ (d) 6

See Solution

Problem 2771

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 2772

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 2773

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 2774

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 2775

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 2776

For each ordered pair, determine whether it is a solution to the system of equations. $\left\{\begin{array}{l} 6 x+7 y=-5 \\ 3 x-2 y=-8 \end{array}\right.$ \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{ $(x, y)$ } & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 } & Yes & No \\ \hline $(5,-5)$ & $\bigcirc$ & $\bigcirc$ \\ \hline $(-1,2)$ & $\bigcirc$ & $\bigcirc$ \\ \hline $(-4,-2)$ & $\bigcirc$ & $\bigcirc$ \\ \hline $(7,3)$ & $\bigcirc$ & $\bigcirc$ \\ \hline \end{tabular}

See Solution

Problem 2777

Let $f(x)=3 x+2$ and $g(x)=5 x^{2}+2 x$ . Then $(f \circ g)(-3)=$ $\square$ $(f \circ g)(x)=$ $\square$

See Solution

Problem 2778

The prices of the 19 top-rated all-season tires for a specific tire size, are as follows. Answer parts (a) - (c). \begin{tabular}{llllllllll} $\$ 88$ & $\$ 114$ & $\$ 98$ & $\$ 79$ & $\$ 82$ & $\$ 90$ & $\$ 92$ & $\$ 89$ & $\$ 92$ & $\$ 81$ \\ $\$ 106$ & $\$ 112$ & $\$ 100$ & $\$ 96$ & $\$ 86$ & $\$ 90$ & $\$ 74$ & $\$ 99$ & $\$ 90$ & \end{tabular} a) Determine $Q_{2}$ . $Q_{2}=90$ b) Determine $Q_{1}$ . $\mathrm{Q}_{1}=\square$ $\square$

See Solution

Problem 2779

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 2780

9 ( 8 points). A hot cup of coffee is placed outside on a cold day. The temperature of the coffee (in degrees Fahrenheit) after $t$ minutes is given by the function $f(t)=\left(36+90 e^{-t} .\right.$ (a) What is $\lim _{t \rightarrow \infty} f(t)$ ?

See Solution

Problem 2781

Save he graph shows the probability of cardiovascular disease by age nd gender. Use the graph to find the probability that a randomly elected man between the ages of 45 and 54
Probability of Cardiovascular Disease . has cardiovascular disease. does not have cardiovascular disease. a. Use the graph to estimate the probability that a randomly selected man between the ages of 45 and 54 has cardiovascular disease. This probability is approximately $\square$ (Type a decimal to two places.)

See Solution

Problem 2782

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 2783

Baby weights: Following are weights in pounds for random samples of 20 newborn baby boys and baby girls born in Denver in 2011. Box plots indicate that the samples come from populations that are approximately normal. Let $\mu_{1}$ denote the mean weight of boys. Can you conclude that the mean weights differ between boys and girls? Use the $\alpha=0.05$ level and the $P$ -value method with the TI-84 Plus calculator. \begin{tabular}{lllllllll} \hline \multicolumn{1}{c}{ Boys } \\ \hline 8.1 & 7.9 & 8.3 & 7.3 & 6.4 & 8.4 & 8.5 & 6.9 & 6.3 \\ 7.4 & 7.8 & 7.5 & 6.9 & 7.8 & 8.6 & 7.7 & 7.4 & 7.7 \\ 8.1 & 6.4 & & & & & & & \\ \hline \end{tabular} \begin{tabular}{lllllllll} \hline \multicolumn{1}{c}{ Girls } \\ \hline 7.4 & 6.0 & 6.7 & 8.2 & 7.5 & 5.7 & 6.6 & 6.4 & 8.5 \\ 7.2 & 6.9 & 8.2 & 6.5 & 6.7 & 7.2 & 6.3 & 5.9 & 8.1 \\ 8.2 & 6.7 & & & & & & & \\ \hline \end{tabular} Send data to Excel
Part: $0 / 4$
Part 1 of 4 State the null and alternate hypotheses. $\mathrm{H}_{0}$ : $\square$ $\square$ $=\square$ $\square=$ 1

See Solution

Problem 2784

For each ordered pair $(x, y)$ , determine whether it is a solution to the inequality $6 x-3 y>-9$ \begin{tabular}{|c|cc|} \hline \multirow{2}{*}{ $(x, y)$ } & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 } & Yes & No \\ \hline $(-7,-8)$ & 0 & 0 \\ \hline $(3,-4)$ & 0 & 0 \\ \hline $(0,-9)$ & 0 & 0 \\ \hline $(2,7)$ & 0 & 0 \\ \hline \end{tabular}

See Solution

Problem 2785

The following statistics represent weekly salaries at a construction company. \begin{tabular}{llll} Mean & $\$ 510$ & First quartile & $\$ 410$ \\ Median & $\$ 470$ & Third quartile & $\$ 530$ \\ Mode & $\$ 440$ & 89th percentile & $\$ 895$ \\ \hline \end{tabular}
The most common salary is $\$ 440$ The salary that half the employees' salaries surpass is $\$ 470$ . The percent of employees' salaries that surpassed $\$ 530$ is $25 \%$ . The percent of employees' salaries that were less than $\$ 410$ is $\square \%$ .

See Solution

Problem 2786

2. (a) Find the $x$ -coordinate of the stationary point on the curve with the equation $y=18 x-4 \sqrt{x^{3}}$ (b) Hence, determine the greatest and least values of $y$ in the interval

See Solution

Problem 2787

Given the following functions: - $f(x)=x^{2}-2 x$ - $g(x)=\sqrt{x}+3$
Determine $f \circ g(x)$ .

See Solution

Problem 2788

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 2789

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

Problem 2790

Question 4, 8.5.C5 Points: 0 of 1 Save
Fill in each blank so the resulting statement is true.
A listing of all the investments that a person holds is called a financial $\square$ To minimize risk, it should be $\square$ containing a mixture of low-risk and high-risk investments.

See Solution

Problem 2791

Decide whether the following statement is true or false. The graph of $y=-f(x)$ is the reflection about the $x$ -axis of the graph of $y=f(x)$ .
Choose the correct answer below. False True

See Solution

Problem 2792

Decide whether the following statement is true or false. The cube function is odd and is increasing on the interval $(-\infty, \infty)$ .
Choose the correct answer below. True False

See Solution

Problem 2793

Points: 0 of 30
Use the five numbers 12, 19, 16, 15, and 13 to complete parts a) through e) below. a) Compute the mean and standard deviation of the given set of data.
The mean is $\bar{x}=$ $\square$ and the standard deviation is $\mathrm{s}=$ $\square$ . (Round to two decimal places as needed.)

See Solution

Problem 2794

Graph the following function by moving the green and blue dots (if necessary). $y=\frac{1}{3} \sqrt{x}$

See Solution

Problem 2795

If $(-3,2)$ is a point on the graph of $y=f(x)$ , which of the following must be on the graph of $y=-f(x)$ ?
Choose the correct answer below. $(2,3)$ $(-2,-3)$ $(-3,-2)$ $(3,2)$

See Solution

Problem 2796

Graph the function $\mathrm{g}(\mathrm{x})=19 \sqrt{\mathrm{x}}$ using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, $\mathrm{y}=\mathrm{x}^{2}$ ), and show all the steps. Be sure to show at least three key points. Find the domain and the range of the function.
Choose the correct graph below. A. B. c. D.
Find the domain of g . The domain of $g$ is $\square$ (Type your answer in interval notation.) Find the range of g . The range of $g$ is $\square$ $\square$ . (Type your answer in interval notation.)

See Solution

Problem 2797

Which of the following functions has a graph that is symmetric about the $y$ -axis?
Select all that apply. A. $y=\frac{1}{x}$ B. $y=x^{3}$ C. $y=\sqrt{x}$ D. $y=|x|$

See Solution

Problem 2798

Show Examples
Graph the equation shown below by transforming the given graph of the parent function. $y=\frac{1}{3}|x|$ Start Over

See Solution

Problem 2799

Save
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 25 subjects had a mean wake time of 105.0 min . After treatment, the 25 subjects had a mean wake time of 100.7 min and a standard deviation of 20.8 min . Assume that the 25 sample values appear to be from a normally distributed population and construct a $90 \%$ confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 105.0 min before the treatment? Does the drug appear to be effective?
Construct the 90\% confidence interval estimate of the mean wake time for a population with the treatment. $\square$ $\square$ $\min <\mu<$ min (Round to one decimal place as needed.)

See Solution

Problem 2800

MotoWin Auto Superstore is thinking about offering a two-year limited warranty for $\$ 952$ on all new cars of a certain model. The terms of the warranty would be that MotoWin would replace the car free of charge under certain, specified conditions. Replacing the car in this way would cost MotoWin $\$ 13,600$ . Suppose that under the warranty, there is a $7 \%$ chance that MotoWin would have to replace the car one time and a $93 \%$ chance they wouldn't have to replace the car. (If necessary, consult a list of formulas.)
If MotoWin knows that it will sell many of these warranties, should it expect to make or lose money from offering them? How much?
To answer, take into account the price of the warranty and the expected value of the cost from replacing the car. MotoWin can expect to make money from offering these warranties. In the long run, they should expect to make $\square$ dollars on each warranty sold. MotoWin can expect to lose money from offering these warranties. In the long run, they should expect to lose $\square$ dollars on each warranty sold. MotoWin should expect to neither make nor lose money from offering these warranties.

See Solution

Analyze

Problem 2701

Problem 2702

55° 30° b C 30°

Problem 2703

Problem 2704

Problem 2705

Problem 2706

Problem 2707

Problem 2708

Problem 2709

A rectangular piece of dimensions 3 cm×2 cm3 \mathrm{~cm} \times 2 \mathrm{~cm}3 cm×2 cm was cut from a rectangular sheet of paper of divension 8 cm×5 cm(Fgg⋅14)8 \mathrm{~cm} \times 5 \mathrm{~cm}(\mathrm{Fgg} \cdot 14)8 cm×5 cm(Fgg⋅14)Area of rectangle sheet of paper is

Problem 2710

Problem 2711

SFBM A

Problem 2712

3. 21. Supozojmë se XXX ka densitet f(x)=e−x,x>0f(x)=e^{-x}, \quad x>0f(x)=e−x,x>0 (a) Llogaritni funksionin prodhues të momenteve të XXX dhe gjeni pritjen matematike, mesataren dhe dispersionin. (b) Gjeni pritjen matematike drejtpërsëdrejti nga përkufizimi.

Problem 2713

Problem 2714

Find the common difference ddd of each arithmetic sequence. 1) {5,8,11,14,17,…}\{5,8,11,14,17, \ldots\}{5,8,11,14,17,…} □\square□ Check Show answer 2) {4,0,−4,−8,−12,…}\{4,0,-4,-8,-12, \ldots\}{4,0,−4,−8,−12,…} □\square□ CheckShow answer

Problem 2715

Problem 2716

10 Are 15 2/2

Problem 2717

Problem 2718

Problem 2719

Problem 2720

72-78 Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?72. an=cos⁡na_{n}=\cos nan​=cosn

Problem 2721

Problem 2722

Problem 2723

8 Mark for Review 40The radius of convergence of the power series ∑n=0∞n!(n+1)!(2n)!xn\sum_{n=0}^{\infty} \frac{n!(n+1)!}{(2 n)!} x^{n}∑n=0∞​(2n)!n!(n+1)!​xn is (A) 0B 1 (C) 2 (D) 4

Problem 2724

Problem 2725

Problem 2726

Problem 2727

Find the degree and the leading coefficient for the given polynomial function. f(x)=−5x2+5x+2f(x)=-5 x^{2}+5 x+2f(x)=−5x2+5x+2

Problem 2728

Problem 2729

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 2730

lim⁡x→0cos⁡x=1\lim _{x \rightarrow 0} \cos x=1limx→0​cosx=1

Problem 2731

Problem 2732

Problem 2733

Problem 2734

Problem 2735

Problem 2736

Problem 2737

32−2⋅3+u=(33−3⋅8)(2)+u3^{2}-2 \cdot 3+u=\left(3^{3}-3 \cdot 8\right)(2)+u32−2⋅3+u=(33−3⋅8)(2)+u

Problem 2738

Problem 2739

Problem 2740

Problem 2741

Problem 2742

Problem 2743

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

Problem 2744

Find and sketch the domain of the function. g(x,y)=x−yx+yg(x, y)=\frac{x-y}{x+y}g(x,y)=x+yx−y​

Problem 2745

Fill in the blank so that the resulting statement is true. The theoretical probability of event EEE, denoted by \qquad is the \qquad divided by \qquad \qquadThe theoretical probability of event EEE, denoted by □\square□ is the □\square□ divided by □\square□

Problem 2746

Problem 2747

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 2748

Problem 2749

Problem 2750

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 2751

Sketch θ=−2π3\theta=-\frac{2 \pi}{3}θ=−32π​ in standard position.

Problem 2752

Problem 2753

Problem 2754

Problem 2755

Problem 2756

Problem 2757

Problem 2758

Problem 2759

Problem 2760

Find the domain of the function defined by the set of points below. F answer as a set of numbers. (−3,9),(4,−5),(−5,4)(-3,9),(4,-5),(-5,4)(−3,9),(4,−5),(−5,4)Answer Attempt 1 out of 3

A rectangular piece of dimensions $3 \mathrm{~cm} \times 2 \mathrm{~cm}$ was cut from a rectangular sheet of paper of divension $8 \mathrm{~cm} \times 5 \mathrm{~cm}(\mathrm{Fgg} \cdot 14)$
Area of rectangle sheet of paper is

3. 21. Supozojmë se $X$ ka densitet $f(x)=e^{-x}, \quad x>0$ (a) Llogaritni funksionin prodhues të momenteve të $X$ dhe gjeni pritjen matematike, mesataren dhe dispersionin. (b) Gjeni pritjen matematike drejtpërsëdrejti nga përkufizimi.

Find the common difference $d$ of each arithmetic sequence. 1) $\{5,8,11,14,17, \ldots\}$ $\square$ Check Show answer 2) $\{4,0,-4,-8,-12, \ldots\}$ $\square$ Check
Show answer

72-78 Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?
72. $a_{n}=\cos n$

8 Mark for Review 40
The radius of convergence of the power series $\sum_{n=0}^{\infty} \frac{n!(n+1)!}{(2 n)!} x^{n}$ is (A) 0
B 1 (C) 2 (D) 4

Find the degree and the leading coefficient for the given polynomial function. $f(x)=-5 x^{2}+5 x+2$

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

$\lim _{x \rightarrow 0} \cos x=1$

$3^{2}-2 \cdot 3+u=\left(3^{3}-3 \cdot 8\right)(2)+u$

Find and sketch the domain of the function. $g(x, y)=\frac{x-y}{x+y}$

Fill in the blank so that the resulting statement is true. The theoretical probability of event $E$ , denoted by $\qquad$ is the $\qquad$ divided by $\qquad$ $\qquad$
The theoretical probability of event $E$ , denoted by $\square$ is the $\square$ divided by $\square$

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. $(5,8)$

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

Sketch $\theta=-\frac{2 \pi}{3}$ in standard position.

Find the domain of the function defined by the set of points below. F answer as a set of numbers. $(-3,9),(4,-5),(-5,4)$
Answer Attempt 1 out of 3

(9) Point of symmetry of the function $f(x)=\frac{1}{x+3}+2$ is $\qquad$ (a) $(3,-2)$ (b) $(-3,-2)$ (c) $(3,2)$ (d) $(-3,2)$

Use the intercepts to graph the equation. $5 x-3 y=15$

19. $3(2-b)<10-3(b-6)$

(1)) 新, How many solutions does this equation have? $-8 u-7(-2 u+2)=6 u-14$ 1)）㸚 $\square$ one solution infinitely many solutions

6. Find the value of the 30 th percentile of the data. $18,9,7,5,11,7,17,20,19,2,17,12,5,1,13,12,11,15,16,20$

(26) If $f(x)=\left\{\begin{array}{ll}\mathrm{a} x^{2}-3, & x \neq 2 \\ 2 \mathrm{a} & , x=2\end{array}\right.$ is continuous at $x=2$ , then $\mathrm{a}=$ (a) $\frac{1}{2}$ (b) $\frac{2}{3}$ (c) $\frac{3}{2}$ (d) 6