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Problem 2601

Crime rates: A governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four categories. A simple random sample of 500 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. \begin{tabular}{lcc} \hline \multicolumn{1}{c}{ Category } & \begin{tabular}{c} U.S. \\ Proportion \end{tabular} & \begin{tabular}{c} California \\ Frequency \end{tabular} \\ \hline Murder & 0.018 & 4 \\ Forcible Rape & 0.07 & 35 \\ Robbery & 0.390 & 218 \\ Aggravated Assault & 0.522 & 243 \\ \hline \end{tabular} Send data to Excel
Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole? Use the 0.05 level of significance and the $P$ -value method with the TI-84 Plus calculator.
Part: 0 / 4 $\square$
Part 1 of 4 (a) State the null and alternate hypotheses. $H_{0}$ : The proportions of crimes in the various categories in California (Choose one) $\boldsymbol{\nabla}$ the same as those in the United States as a whole. $\square$ $H_{1}$ : The proportions of crimes in the various categories in California (Choose one) $\boldsymbol{\nabla}$ the same as those in the United States as a whole.

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Problem 2602

What is the ratio of syllables to vowels?
ANCILLARY

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Problem 2603

Put these numbers in order from least to greatest. 0.79 $\frac{3}{4}$ $\frac{7}{8}$ Submit

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Problem 2604

A convenience sample differs from a voluntary sample in that a convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest. convenience samples survey each participant once, and voluntary samples survey each participant numerous times. convenience sampling is a method of random sampling, and a voluntary sample is not. convenience sampling is not a probability-based method, and voluntary sampling is.

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Problem 2605

The following problem refers to the stock table for KIRED, Inc. (a computer company) given below. Use the stock table to answer the following questions. Where necessary, round the dollar amounts to the nearest cent. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 52-Week & & & SYM & Div & YId & PE & $\begin{array}{c} \mathrm{Vol} \\ 100 \mathrm{~s} \end{array}$ & Hi & Lo & Close & \begin{tabular}{l} Net \\ Chg \end{tabular} \\ \hline High & L & & & 222 & 50 & 22 & 7473 & 56.90 & 54.52 & 55.12 & -1.32 \\ \hline 72.31 & 44.15 & KIRED, Inc. & KIR & 2.22 & 5.0 & 22 & 7473 & 56.30 & & & \\ \hline \end{tabular} a. What were the high and low prices for a share for the past 52 weeks?
High price: $\$$ $\square$ Low price: $\$$ $\square$ b. If you owned 700 shares of this stock last year, what dividend did you receive? $\$$ $\square$ c. What is the annual return for the dividends alone? How does this compare to a bank offering a $3 \%$ interest rate? \% A. The \%yield is lower, than the bank rate. B. The bank rate is lower than the \%yield. Next

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Problem 2606

. Which expression can be used to find how many cubes with edge length of $\frac{1}{3}$ unit fit in a prism that is 5 units by 5 units by 8 units? Explain or show your reasoning. A. $\left(5 \cdot \frac{1}{3}\right) \cdot\left(5 \cdot \frac{1}{3}\right) \cdot\left(8 \cdot \frac{1}{3}\right)$ B. $5 \cdot 5 \cdot 8$ C. $(5 \cdot 3) \cdot(5 \cdot 3) \cdot(8 \cdot 3)$ D. $(5 \cdot 5 \cdot 8) \cdot\left(\frac{1}{3}\right)$

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Problem 2607

The mean test scores with standard deviations of four English classes are given below. \begin{tabular}{|c|c|c|} \hline Class & Mean & Standard Deviation \\ \hline Mrs. Jones & 89 & 1.9 \\ \hline Mrs. Rijo & 82 & 1.4 \\ \hline Mr. Phan & 73 & 3.4 \\ \hline Mrs. Scott & 90 & 6.1 \\ \hline \hline \end{tabular}
Which statement is most likely to be true? The scores of Mrs. Scott's class are the closest to the class mean. The scores of Mr. Phan's class are the closest to the class mean. The scores of Mrs. Jones's class are the closest to the class mean. The scores of Mrs. Rijo's class are the closest to the class mean.

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Problem 2608

The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider.
How could the graph be redrawn so that the difference in monthly electric cost does not appear as great? The scale on the $y$ -axis could be changed to $0-150$ . The scale on the $y$ -axis could be changed to 100-120. The interval on the $y$ -axis could be changed to count by 1 s .

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Problem 2609

For a standard normal distribution, which of the following expressions must always be equal to 1? $P(z \leq-a)-P(-a \leq z \leq a)-P(z \geq a)$ $P(z \leq-a)-P(-a \leq z \leq a)+P(z \geq a)$ $P(z \leq-a)+P(-a \leq z \leq a)-P(z \geq a)$ $P(z \leq-a)+P(-a \leq z \leq a)+P(z \geq a)$

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Problem 2610

Exercise 2. Say whether the following arguments are correct, and give there negation.
1. 30 is a multiple of 5 and 2 divides 25.
2. 30 is a multiple of 5 or $2+3=1$
3. $\forall x \in \mathbb{R}, \forall y \in \mathbb{R}, x+y>0$
4. $\exists x \in \mathbb{R}, \forall y \in \mathbb{R}, x+y>0$
5. $\forall x \in \mathbb{R}, \exists y \in \mathbb{R}, x+y>0$
6. $\exists x \in \mathbb{R}, \forall y \in \mathbb{R}, y^{2}>x$
7. $\exists x \in \mathbb{R}, \exists y \in \mathbb{R}: x^{2}+y^{2} \geq 9$

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Problem 2611

Which of the below data sets has the lowest sample standard deviation? You do not need to calculate the exact sample standard deviations to answer this question. $0,1,2,3,4,5,6$ $0,0,0,100,200,200,200$ $0,1,3,3,3,5,6$ $0,25,50,100,125,150,1000$

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Problem 2612

For each pair of functions $f$ and $g$ below, find $f(g(x))$ and $g(f(x))$ . Then, determine whether $f$ and $g$ are inverses of each other.
Simplify your answers as much as possible. (Assume that your expressions are defined for all $x$ in the domain of the composition. You do not have to indicate the domain.) (a) $f(x)=\frac{1}{2 x}, x \neq 0$ (b) $f(x)=x+6$ $\begin{array}{l} g(x)=\frac{1}{2 x}, x \neq 0 \\ f(g(x))=\square \\ g(f(x))=\square \end{array}$ $f$ and $g$ are inverses of each other $f$ and $g$ are not inverses of each other $\begin{array}{l} g(x)=x+6 \\ f(g(x))=\square \\ g(f(x))=\square \end{array}$ $f$ and $g$ are inverses of each other $f$ and $g$ are not inverses of each other

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Problem 2613

Choose the statement(s) that correctly describe the system. $\left\{\begin{array}{rr} 2 x+z= & 0 \\ 6 x+y-z= & -6 \\ 4 x+y+z= & 0 \end{array}\right.$
Select all that apply. The system's complete solutian can be written as $\left(\frac{5+3 a}{3}, \frac{3-a}{3}, a\right)$ , where $a$ is any real number. The system has a unique solution. The system has no solution. The system has infinitely many solutions. The system is consistent. One solution is $(-1,2,2)$ . The system is dependent. The system's complete solution can be written as $(2+6 a, 2-a, a)$ where $a$ is any real number.

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Problem 2614

Which expression represents the determinant of $A=\left[\begin{array}{cc}-6 & -7 \\ -4 & -2\end{array}\right]$ ? $\operatorname{det}(A)=(-4)(-7)-(-6)(-2)$ $\operatorname{det}(A)=(-4)(-7)+(-6)(-2)$ $\operatorname{det}(A)=(-6)(-2)-(-4)(-7)$ $\operatorname{det}(A)=(-6)(-2)+(-4)(-7)^{5}$

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Problem 2615

Choose the statement(s) that correctly describe the system. $\left\{\begin{array}{rr} 3 x+z= & 2 \\ 12 x+y-z= & 19 \\ 12 x+y+z= & 17 \end{array}\right.$

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Problem 2616

What is the domain and range of $\arccos (x)$ and $\arcsin (x) ?$
Edit View Insert Format Tools Table
12pt • Paragraph

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Problem 2617

1. [-/1 Points] DETAILS MY NOTES
Fill in the blank. For the function $y=a \sin (b x-c), \frac{c}{b}$ represents the $\qquad$ ---Select one cycle of the graph of the function. Need Help? Read It Watch It

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Problem 2618

$14 x+3>5 x+21 \text { OR }-13+6 x \geq 13 x-6$
Clear All Draw: $\square$

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Problem 2619

If $f(x)=x \cos ^{-1}(3 x+2)-\sqrt{6-3 x^{2}}$ , find $f^{\prime}(x)$

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Problem 2620

Find the period and amplitude. $y=6 \cos 4 x$ period $\square$ amplitude $\square$

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Problem 2621

The function $g(t)$ models the number of books sold in a store on day $t$ , where $t$ is the number of days after January 1,2020 . Which of the following is the best interpretation of the statement $g^{\prime}(7)=-11$ ? (A) On January 8, 2020, approximately 11 books were sold. (B) On January 8,2020 , the number of books sold was decreasing at a rate of 11 books per day.
C On January 8,2020 , the rate at which books were sold was decreasing at a rate of 11 books per day per day. (D) From January 1, 2020, to January 8,2020 , the number of books sold was decreasing at an average rate of 11 books per day.

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Problem 2622

Look at this graph:
What is the $y$ -intercept? $\square$ Submit

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Problem 2623

College student spends studying each week. They take a simple random sample of 91 students and compute a sample mean of 5.4 hours per week with a standard deviation of 1.2 hours. Find the $95 \%$ confidence interval for the population mean. Follow the PANIC acronym and answer each part.

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Problem 2624

g) $\frac{x}{x-2}+\frac{1}{x+4}=\frac{2}{x^{2}-6 x+8}$

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Problem 2625

Look at this graph:
What is the equation of the axis of symmetry? $\square$ Submit

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Problem 2626

A rocket is launched in the air. The graph b shows the height of the rocket $h$ in meters seconds. How long is the rocket in the air?

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Problem 2627

Describe what is misleading in the visual display of data below. World Population, in Billions
Choose the correct answer below. A. The bars on the vertical axis curve around the globe instead of being on a straight line. B. Time intervals on the horizontal axis do not represent equal amounts of time. C. Part of the time frame on the horizontal axis of the graph has been cut off. D. The title does not explain what is being displayed.

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Problem 2628

Let $a, h$ , and $k$ be arbitrary real numbers with $a \neq 0$ , and let $f$ be the function given by the rule $f(x)=a(x-h)^{2}+k$ .
Which of the following statements are true about $f$ ? Select all that apply.
A. The graph of $y=f(x)$ is a line.
B. If $a>0$ , then $f$ has a global maximum. C. The graph of $y=f(x)$ is a parabola. D. An extreme value occurs at the point $(h, k)$ . E. If $a>0$ , then $f$ has a global minimum. F. The maximum value of $f(x)$ is $h$ . G. None of the above
Next we use some calculus to develop familiar ideas from a different perspective. To start, treat $a, h$ , and $k$ as constants and compute $f^{\prime}(x)$ . $f^{\prime}(x)=\square$
Find a critical value of $f$ . (This will depend on at least one of $a, h$ , and $k$ .) Critical value $=$ $\square$ Assume that $a<0$ . Make a derivative sign chart for $f$ . Based on this information, classify the critical value of $f$ as a maximum or minimum. A. maximum B. minimum C. neither

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Problem 2629

The domain of the function $h$ graphed below is all real numbers, and all of its extreme values occur when $-3<x<3$ . Use the graph to answer the following questions.
Identify all of the values of $c$ for which $h(c)$ is a local maximum of $h$ . If there is more than one value, enter the values as a comma-separated list. If there are none, enter DNE. values: $\square$
Identify all of the values of $c$ for which $h(c)$ is a local minimum of $h$ . If there is more than one value, enter the values as a comma-separated list. If there are none, enter DNE. values: $\square$

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Problem 2630

```latex The domain of the function $h$ graphed below is all real numbers, and all of its extreme values occur when $-3<x<3$ . Use the graph to answer the following questions.
Identify all of the values of $c$ for which $h^{\prime}(c)=0$ . If there is more than one value, enter the values as a comma-separated list. If there are none, enter DNE. values: $\square$
Identify all of the values of $c$ for which $h^{\prime}(c)$ does not exist. If there is more than one value, enter the values as a comma-separated list. If there are none, enter DNE. values: $\square$ ```

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Problem 2631

$f(x)=\frac{4+6 x}{4-7 x}$
For each of the following, enter DNE if no such answer exist. Enter multiple values in a comma-separated list. Enter intervals using interval notation, including the union symbol when entering multiple intervals if necesary.
2. Determine all critical $x$ -value $(s)$ of $f(x)$ .
Critical value(s): $\square$ b. Determine the interval(s) where $f(x)$ is increasing.
Increasing: $\square$ c. Deternine the interval(s) where $f(x)$ is decreasing.
Decreasing: $\square$ d. Deremine the $x$ -coordinate(s) of all local maxima of $f(x)$ . z-value(s) of local maximas: $\square$ e. Detertmine the $x$ -coordinate of all local minima of $f(x)$ .
I valuer(s) of local minimas $\square$ f. Determine che interval(s) where $f(x)$ is concave up.
Concave up $\square$ g. Deermine the interval(s) where $f(x)$ is concave down.
Concave down: $\square$ h. Deernine the $x$ -value(s) of all inflection point(s) of $f(x)$ . z-value(s) of inflection point(s): $\square$ i. Deternine all horizonal asymptote(s) of $f(x)$ . $y=$ $\square$ j. Decermine all vertical asymprote( $(x)$ of $f(x)$ . $\square$
1. Use all of the preceding information to shecth a graph of $f(x)$ on your own paper. Change the following to Yes when you're done.
Graph complete: $\square$ 1

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Problem 2632

Consider the function $f(x)=2 x^{3}+6 x^{2}-90 x+7, \quad-5 \leq x \leq 4$ .
Find the absolute minimum value of this function. Answer: $\square$ Find the absolute maximum value of this function. Answer: $\square$
Note: You can earn partial credit on this problem.

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Problem 2633

Find the critical points and determine if the function is increasing or decreasing on the given intervals. $y=3 x^{4}+6 x^{3}$
Left critical point: $c_{1}=$ $\square$ Right critical point: $c_{2}=$ $\square$ The function is: ? on $\left(-\infty, c_{1}\right)$ . ? on $\left(c_{1}, c_{2}\right)$ . ? on $\left(c_{2}, \infty\right)$ .

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Problem 2634

Find the critical point and determine if the function is increasing or decreasing on the given intervals. $y=-x^{2}+2 x+7$
Critical point: $c=$ $\square$ The function is: ? on $(-\infty, c)$ . ? on $(c, \infty)$ .

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Problem 2635

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Click twice to plot each segment. Click a segment to delete it.

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Problem 2636

Find all critical points of the function $f(x)=x^{2}-3 x+3$ $x=$
Preview My Answers Submit Answers
You have attempted this problem 0 times.

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Problem 2637

Find the critical numbers of the function $f(x)=12 x^{5}-15 x^{4}-20 x^{3}+9$ and classify them using a graph. $x=$ $\square$ $x=$ $\square$ is a Select an answer $x=$ $\square$ is a Select an answer is a Select an answer

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Problem 2638

3. Find the absolute maximum and absolute minimum of the functions on the given intervals. (a) $\qquad$ $3-6 x^{2}+5$ (d) $f(x)=x+\frac{1}{x}$ , $[1 / 4,4]$ (C)

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Problem 2639

Question Show Examples
Which of the relationships below represents a function with a greater slope than the function $y=-2 x-2$ ?
A
C \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & -3 \\ \hline 2 & -9 \\ \hline 5 & -15 \\ \hline 8 & -21 \\ \hline \end{tabular}
B
D \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-4 & -13 \\ \hline 0 & -5 \\ \hline 4 & 3 \\ \hline 8 & 11 \\ \hline \end{tabular}
Answer A B Submit Answer C D

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Problem 2640

In a survey of 2084 adults in a recent year, 750 made a New Year's resolution to eat healthier. Construct $90 \%$ and $95 \%$ confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.
The $90 \%$ confidence interval for the population proportion $p$ is ( $0.343,0.377$ ). (Round to three decimal places as needed.) The 95\% confidence interval for the population proportion p is ( $0.339,0.381$ ). (Round to three decimal places as needed.) With the given confidence, it can be said that the $\square$ of adults who say they have made a New Year's resolution to eat healthier is $\square$ Iof the given confidence interval.

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Problem 2641

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Problem 2642

2. a) Sketch the graph of $f(x)=x^{2}+x-6$ and $g(x)=1 f(x)$ on the same axes. b) State the domain and range for each function. c) Using the $\mathrm{g}(\mathrm{x})$ state the following: * The coordinates of any intercepts for $g(x)$ * Positive and negative intervals for $g(x)$ - Intervals of increase and decrease of $g(x)$ .

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Problem 2643

Determine whether the relation $y = 6x + 12$ defines $y$ as a function of $x$ . Also, provide the domain of the function.

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Problem 2644

Begin by graphing $f(x)=3^{x}$ . Then use transformations of this graph to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. $h(x)=3^{x+2}+2$

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Problem 2645

Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for $m$ , the grea integer? $m(m-3)=108$ $m(m+3)=108$ $(m+3)(m-3)=108$ $(m-12)(m-9)=108$

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Problem 2646

InIs question: 1 point(S) possible
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 39 of the 45 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 89 of the 105 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rinovirus infections. Complete parts (a) through (c) below.
Identify the P -value. P -value $=0.764$ (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P -value is $\square$ greater than the significance level of $\alpha=0.01$ , so reject $\square$ the null hypothesis. There is not sufficient evidence to support the claim that echinacea treatment has an effect. b. Test the claim by constructing an appropriate confidence interval.
The $99 \%$ confidence interval is $-0.143<\left(p_{1}-p_{2}\right)<0.181$ . (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits $\square$ 0 , there $\square$ appear to be a significant difference between the two proportions. There $\square$ evidence to support the claim that echinacea treatment has an effect. c. Based on the results, does echinacea appear to have any effect on the infection rate? A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. B. Echinacea does not appear to have a significant effect on the infection rate. C. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. D. The results are inconclusive. Submit quiz

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Problem 2647

ASKYOUR TEACHER $V(t)=75\left(1-\frac{t}{32}\right)^{2} \quad 0 \leq t \leq 32$ . (a) Find $V(0)$ and $V(32)$ . $\begin{array}{l} V(0)=\square \mathrm{gal} \\ V(32)=\square \mathrm{gal} \end{array}$ (b) What do your answers to part (a) represent? $V(32)$ represents the the time when the tank is empty, and $V(0)$ represents the time when it is full. $V(0)$ represents the time when the tank is empty, and $V(32)$ represents the time when it is full. $V(0)$ represents the initial rate at which the water is leaking, and $V(32)$ represents the rate at which it is leaking when 32 gallons have drained. $V(0)$ represents the initial volume, and $V(32)$ represents the final volume. $V(32)$ represents the initial volume, and $V(0)$ represents the final volume. (c) Make a table of values of $V(t)$ for $t=0,8,16,24,32$ . (Round your answer to three decimal places.) \begin{tabular}{|c|c|} \hline $t$ (in minutes) & $V(t)$ (in gallons) \\ \hline 0 & $\square$ \\ 8 & $\square$ \\ 16 & $\square$ \\ 24 & \\ 32 & \\ \hline \end{tabular} (d) Find the net change in the volume $V$ as $t$ changes from 0 min to 32 min .

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Problem 2648

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. What does this "Top 10" list tell us about the population of all of that country's college tuitions? \begin{tabular}{lllll} $\$ 53,629$ & $\$ 52,706$ & $\$ 53,184$ & $\$ 54,114$ & $\$ 51,064$ \\ $\$ 50,558$ & $\$ 53,629$ & $\$ 52,958$ & $\$ 51,270$ & $\$ 53,455$ \end{tabular}
Find the mean, midrange, median, and mode of the data set. The mean of the data set is $\$$ $\square$ (Round to two decimal places as needed.) The midrange of the data set is $\$$ $\square$ (Round to two decimal places as needed.) The median of the data set is $\$$ $\square$ . (Round to two decimal places as needed.) What is (are) the mode(s) of the data set? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode(s) of the data set is (are) $\$$ $\square$ . (Use a comma to separate answers as needed. Round to two decimal places as needed.) B. There is no mode.
What does this "Top 10" list tell us about the population of all the country's college tuitions? A. All colleges have tuitions around the median. B. All colleges have tuitions around the mode. C. All colleges have tuitions around the midrange. D. All colleges have tuitions around the mean. E. Nothing meaningful can be concluded from this information except that these are the largest tuitions of colleges in the country for a recent year.

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Problem 2649

A company that makes cola drinks states that the mean caffeine content per 12 -ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 37.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.6 milligrams. At $\alpha=0.05$ , can you reject the company's claim? Complete parts (a) through (e). (d) Decide whether to reject or fail to reject the null hypothesis. A. Since $z$ is in the rejection region, fail to reject the null hypothesis. B. Since $z$ is not in the rejection region, reject the null hypothesis. C. Since $z$ is in the rejection region, reject the null hypothesis. D. Since $z$ is not in the rejection region, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim.
At the $5 \%$ significance level, there $\square$ enough evidence to $\square$ the company's claim that the mean caffeine content per 12-ounce bottle of cola $\square$ $\square$ milligrams.

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Problem 2650

A high school student volunteers to present a report to the administration about the types of lunches students prefer. He surveys members of his class and records their choices. What type of sampling did the student use? systematic random sampling voluntary sampling convenience sampling stratified sampling

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Problem 2651

Function $A$ and Function B are linear functions. Function $A$ Function B $y=2 x-1$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-7 & -21 \\ \hline 4 & 12 \\ \hline 6 & 18 \\ \hline \end{tabular}
Which statement is true?
The slope of Function A is greater than the slope of Function B.
The slope of Function $A$ is less than the slope of Function B.

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Problem 2652

Find the inverse of the function and differentiate the inverse in two ways. (i) Differentiate the inverse function directly. (ii) Use $\frac{d}{d x} f^{-1}(x)=\frac{1}{f^{\prime}\left[f^{-1}(x)\right]}$ to find the derivative of the inverse. $f(x)=\sqrt{4 x+9}, x \geq-\frac{9}{4}$
The inverse of $f(x)$ is $f^{-1}(x)=\frac{y^{2}-9}{4}$ , $\square$ $x \geq 0 \text {. }$ for all $x$ . $x \geq 90$

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Problem 2653

Function $A$ and Function $B$ are linear functions.
Function A
Function B \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-4 & -9 \\ \hline 4 & 7 \\ \hline 8 & 15 \\ \hline \end{tabular}
Which statement is true?
The slope of Function $A$ is greater than the slope of Function B.
The slope of Function $A$ is less than the slope of Function B.

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Problem 2654

Which expression represents the inverse of the matrix below? $\left[\begin{array}{cc} 1 & 3 \\ -1 & 2 \end{array}\right]$ $\frac{1}{5}\left[\begin{array}{cc}-2 & -3 \\ 1 & -1\end{array}\right]$ $\frac{1}{-1}\left[\begin{array}{cc}-2 & -3 \\ 1 & -1\end{array}\right]$ $\frac{1}{-1}\left[\begin{array}{cc}2 & -3 \\ 1 & 1\end{array}\right]$ $\frac{1}{5}\left[\begin{array}{cc}2 & -3 \\ 1 & 1\end{array}\right]$

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Problem 2655

Function $A$ and Function $B$ are linear functions.
Function A
Function B $y=5 x-2$
Which statement is true?
The $y$ -intercept of Function A is greater than the $y$ -intercept of Function B.
The $y$ -intercept of Function A is less than the $y$ -intercept of Function B .

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Problem 2656

Function $A$ and Function $B$ are linear functions. Function A Function B \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-4 & -25 \\ \hline 3 & 10 \\ \hline 4 & 15 \\ \hline \end{tabular} $y=x-1$
Which statement is true?
The $y$ -intercept of Function A is greater than the $y$ -intercept of Function B .
The $y$ -intercept of Function A is less than the $y$ -intercept of Function B.

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Problem 2657

Find the domain of the function. (Enter your answer using interval notation.) $f(x)=\frac{1}{x-5}$ $\square$

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Problem 2658

BOOKMARK T4HWi QUESTIONS
19 Which equations represent linear functions? Select all that apply. Item 1 (A) $-x=y$ Item 2 Item 3 Item 4 B $y=\frac{1}{4} x^{2}+4$ Item 5 c. $6 x-3 y=12$ Item 6 Item 7 Item 8 Item 9

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Problem 2659

The tallest living man at one time had a height of 248 cm. The shortest living man at that time had a height of 86.2 cm. Heights of men at that time had a mean of 175.57 cm and a standard deviation of 6.92 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z = and the z score for the shortest man is z = the man had the height that was more extreme. (Round to two decimal places.) Use z scores to compare the given values. K- L L 880 X

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Problem 2660

What is the slope of the line?

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Problem 2661

Consider the following expression. $2 b+6 a+5+7 a$
Select all of the true statements below. $2 b$ is a factor. $6 a$ and $7 a$ are like terms. $2 b$ is a coefficient. 5 is a constant. $2 b$ is a term.
Try again f these are true.

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Problem 2662

$8(1+6)(9 v+4)$ lect all of the true statements below. In $(9 v+4), 9 v$ is a constant. 8 is a factor. $(9 v+4)$ is written as a sum of three terms. In $9 v, 9$ is a coefficient. 1 and 6 are like terms.

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Problem 2663

For Questions 2-4, determine which option is less expensive Explain your thinking.
2. 7.items for, $\$ 1,1$ , or 10 items for $\$ 20$

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Problem 2664

6. Why might you want to determine the price of 3 items, instead of the price of one, to compare $\frac{\text { bitems }}{\$ 32}$ versus $\frac{9 \text { items }}{\$ 50}$ ?

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Problem 2665

Give the domain and range for the rational function. Use interval notation. $f(x)=\frac{1}{(x-7)^{2}}+5$

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Problem 2666

Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below.
Reduction in Pain Level After Magnet Treatment $\left(\mu_{1}\right): n=22, \bar{x}=0.52, s=0.95$ Reduction in Pain Level After Sham Treatment $\left(\mu_{2}\right): n=22, \bar{x}=0.48, s=1.24$ $\pi_{1} \cdot \mu_{1}=\mu_{2} \quad \Pi_{1} \cdot \mu_{1}+\mu_{2}$
The test statistic, t , is 0.12 . (Round to two decimal places as needed.) The P -value is 0.453 . (Round to three decimal places as needed.) State the conclusion for the test. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a). $\square<\mu_{1}-\mu_{2}<\square$ (Round to two decimal places as needed.)

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Problem 2667

Sketch the function. $p(x)=-x^{4}+12 x^{2}-27$
Part: 0 / 4
Part 1 of 4
The end behavior of the function is (Choose one) $\boldsymbol{\nabla}$ to the left and (Choose one) $\boldsymbol{\nabla}$ to the right.

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Problem 2668

The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.8, $21.4,20.9$ , and 21.2 pounds. $\square$ Assume Normality. Answer parts (a) and (b) below. a. Find a $95 \%$ confidence interval for the mean weight of all bags of potatoes. $(20.64$ , 21.51) (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20.0 pounds? A. The interval captures 20.0 pounds, su there is not enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. B. The interval does not capture 20.0 pounds, so there not is enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. C. The interval captures 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. D. The interval does not capture 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. E. There is insufficient information to make a decision regarding the rejection of 20.0 pounds. The sample size of 4 bags is less than the required 25.

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Problem 2669

In a previous poil, $42 \%$ of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1198 adults with children under the age of 18 were selected at random, and 481 of those 1198 adults reported that their family ate dinner together seven nights a wook. Is there sufficient ovidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the $\alpha=0.05$ significance level.
Because $n p_{0}\left(1-p_{0}\right)=$ $\square$ $\square$ 10 and the sample size is $\square$ $5 \%$ of the population size, and the adults in the sample $\square$ selected at random, all of the requirements for testing the hypothesis (Round to one decimal place as needed.)

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Problem 2670

In a previous poll, $42 \%$ of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1198 adults with children under the age of 18 were selected at random, and 481 of those 1198 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the $\alpha=0.05$ significance level.
Because $\mathrm{np}_{0}\left(1-\mathrm{p}_{0}\right)=291.8>10$ and the sample size is less than $5 \%$ of the population size, and the adults in the sample were selected at random, all of the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? $\mathrm{H}_{0}$ : $\square$ $\square$ versus $\mathrm{H}_{1}$ : $\square$ $\square$ $\square$ (Type integers or decimals. Do not round.)

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Problem 2671

If there is more than one answer, separate them with comn Click on "None" if applicable. (a) $y$ -intercept(s): $\square$ ㅁ.... None (b) $x$ -intercept(s): $\square$

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Problem 2672

2. Use the pattern rules to write out the first 5 numbers in the pattern ( 4 marks) a. Start at 175 and subtract 4 each time. b. Start at 88 and add 30 each time.

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Problem 2673

The pregnancy durations (in days) for a population of new mothers can be approximated by a normal distribution, with a mean of 272 days and a standard deviation of 9 days. (a) What is the minimum pregnancy durations that can be in the top $8 \%$ of pregnancy durations? (b) What pregnancy durations would be considered unusual?

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Problem 2674

Find the values of $x$ that give critical points at $y=a x^{2}+b x+c$ , where $a, b, c$ are constants. Under what conditions on $a, b, c$ is the critical value a maximum? A minimum? $x=$
Use the drop-down menus to indicate whether the critical value is a maximum or a minimum under certain conditions.
The critical value is a Choose one $\square$ if $a<0$ and a Choose one if $a>0$ .

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Problem 2675

Question 1, 12.2.1 HW Score: $0 \%, 0$ of 6 points Points: 0 of 1 Save
Fill in the blank with an appropriate word or phrase. A listing of observed values and the corresponding frequency of occurrence of each value is called a $\qquad$ distribution.
A listing of observed values and the corresponding frequency of occurrence of each value is called a distribution. $\square$

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Problem 2676

Consider the following function. $h(z)=\frac{1}{z}+5 z^{2} \text { for } z>0$
Select the exact global maximum and minimum values of the function. The global maximum of $h(z)$ on $z>0$ is $\frac{1}{10}+125$ , the global minimum is $\sqrt[3]{10}+\sqrt[3]{\frac{5}{4}}$ The global maximum of $h(z)$ on $z>0$ does not exist, the global minimum is $\sqrt[3]{10}+\sqrt[3]{\frac{5}{2}}$ The global maximum of $h(z)$ on $z>0$ is $\frac{1}{10}+125$ , the global minimum is $\sqrt[3]{5}+\sqrt[3]{\frac{5}{4}}$ The global maximum of $h(z)$ on $z>0$ does not exist, the global minimum is $\sqrt[3]{10}+\sqrt[3]{\frac{5}{4}}$

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Problem 2677

The domain of the function $h$ graphed below is all real numbers, and all of its extreme values occur when $-3<x<3$ . Use the graph to answer the following questions.
Does $h$ hava a global maximum? If so, enter the value of its global maximum. If there is no global maximum, enter DNE.
Global maximum value: $\square$ Does $h$ hava a global minimum? If so, enter the value of its global minimum. If there is no global minimum, enter DNE. Global maximum value: $\square$

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Problem 2678

Points: 0 of 1 Save
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be $95 \%$ confident that his estimate is within seven percentage points of the true population percentage? Complete parts (a) through (c) below. a) Assume that nothing is known about the percentage of adults who have heard of the brand. $n=196$ (Round up to the nearest integer.) b) Assume that a recent survey suggests that about $81 \%$ of adults have heard of the brand. $n=121$ (Round up to the nearest integer.) c) Given that the required sample size is relatively small, could he simply survey the adults at the nearest college? A. No, a sample of students at the nearest college is a convenience sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. B. No, a sample of students at the nearest college is a cluster sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. C. No, a sample of students at the nearest college is a stratified sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. D. Yes, a sample of studerts at the nearest college is a simple random sample, so the results should be representative of the population of adults. Clear all Final check

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Problem 2679

Find $\mathrm{f}+\mathrm{g}, \mathrm{f}-\mathrm{g}, \mathrm{fg}$ , and $\frac{\mathrm{f}}{\mathrm{g}}$ . Determine the domain for each function. $f(x)=\sqrt{x} ; g(x)=x-20$ $(f+g)(x)=$ $\square$ (Simplify your aniswer.)

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Problem 2680

$(12-6) \cdot 5^{2}$

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Problem 2681

1. The sequence $a_{n}=\frac{3 n^{2}+1}{1-n^{3}}$ (A) converges to 0 . (B) converges to -1 . (C) converges to -2 . (D) is divergent.
2. The sequence $a_{n}=(-1)^{n} \frac{5^{n} 3^{n}}{7^{2 n}}$ (A) converges to 1 . (B) converges to 0 . (C) converges to 2 . (D) is divergent.
3. The sequence $a_{n}=\frac{3^{n}+1}{n+1}$ (A) converges to 1 . (B) converges to 0 . (C) converges to 2 . (D) is divergent.

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Problem 2682

Part 3 of 4 HW Score: $76.59 \%, 16.08$ of 21 points Points: 0 of 1
Use the sample data and confidence level given below to complete parts (a) through (d). Save
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, $n=1068$ and $x=517$ who said "yes." Use a $99 \%$ confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion $p$ . 0.484 (Round to three decimal places as needed.) b) Identify the value of the margin of error $E$ . $E=0.039$ (Round to three decimal places as needed.) c) Construct the confidence interval. $\square$ $\square$ < p < (Round to three decimal places as needed.)

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Problem 2683

Part 4 of 4 st
Use the sample data and confidence level given below to complete parts (a) through (d). HW Score: $76.59 \%, 16.08$ of 21 points Points: 0 of 1 Save
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, $n=1068$ and $x=517$ who said "yes." Use a $99 \%$ confidence level. Click the icon to view a table of $z$ scores. (Round to three decimal places as needed.) b) Identify the value of the margin of error E . $E=0.039$ (Round to three decimal places as needed.) c) Construct the confidence interval. $0.445<p<0.523$ (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has $99 \%$ confidence that the sample proportion is equal to the population proportion. B. There is a $99 \%$ chance that the true value of the population proportion will fall between the lower bound and the upper bound. C. $99 \%$ of sample proportions will fall between the lower bound and the upper bound. D. One has $99 \%$ confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. Clear all Final chect

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Problem 2684

Find $\mathrm{f}+\mathrm{g}, \mathrm{f}-\mathrm{g}, \mathrm{fg}$ and $\frac{\mathrm{f}}{\mathrm{g}}$ . Determine the domain for each function. $f(x)=6 x+1, g(x)=x+6$ $(\mathrm{f}+\mathrm{g})(\mathrm{x})=7 \mathrm{x}+7$ (Simplify your answer.) What is the domain of $f+g$ ? A. The domain of $f+g$ is $\{\quad$ . (Use a comma to separate answers as needed.) B. The domain of $f+g$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) C. The domain of $f+g$ is $\varnothing$ . $(f-g)(x)=$ $\square$ (Simylify your answer.)

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Problem 2685

Classify each figure as a line, ray, or line segment. Then, show how to write it.

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Problem 2686

Consider the following relation. $-5 y+\sqrt{x}=2 x+(x-3)^{2}$
Step 3 of 3 : Determine the implied domain of the function found in the first step. Express your answer in interval inotation.
Answer

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Problem 2687

Determine the mean, median, mode and midrange of the set of data. $7,9,22,9,20,9,21,19 \square$
What is the mean? $\square$ (Round to the nearest tenth as needed.)

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Problem 2688

Are the ratios 20:10 and $4: 2$ equivalent? yes no

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Problem 2689

The salaries of 10 employees of a small company are listed. Complete parts (a) through (f) below. \begin{tabular}{cc} $\$ 28000$ & $\$ 64000$ \\ 26000 & 31000 \\ 30000 & 29000 \\ 25000 & 79000 \\ 25000 & 27000 \end{tabular} b) Determine the median.
The median salary is $\$ 28500$ (Simplify your answer.) c) Determine the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode salary/salaries is/are $\$ 25000$ . (Use a comma to separate answers, but do not use commas in any individual numbers.) B. There is no mode. d) Determine the midrange.
The midrange of the data set is $\$$ $\square$ (Simplify your answer.)

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Problem 2690

23. If $f(1)=10$ and $f^{\prime}(x) \geqslant 2$ for $1 \leqslant x \leqslant 4$ , how small can $f(4)$ possibly be?
24. Suppose that $3 \leqslant f^{\prime}(x) \leqslant 5$ for all values of $x$ . Show that $18 \leqslant f(8)-f(2) \leqslant 30$ .
25. Does there exist a function $f$ such that $f(0)=-1, f(2)=4$ , and $f^{\prime}(x) \leqslant 2$ for all $x$ ?

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Problem 2691

3. Өөр өөр насны хэдэн охид цэцэг түүцгээжээ. Түүсэн цэцгүүдээ тэд хуваахдаа хамгийн багадаа 20 цэцэг ба үлдсэний 0.04-ийг, түүний дараагийнхад 21 ба 0.04-ийг, гуравдахид 22 цэцэг ба үлдсэний 0.04-ийг гэх мэтээр хуваасаар бүгд тэнцүү авцгаав. Хэдэн охин байсан бэ? Хэчнээн цэцэг түүсэн бэ?

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Problem 2692

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 67 inches and a standard deviation of 2.3 inches. Suppose one Martian adult male is randomly chosen. Let $X=$ height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? $\mathrm{X} \sim \mathrm{N}($ , $\square$ $\square$ b. Find the probability that the person is between 63.2 and 65.3 inches. $\square$ c. The middle $40 \%$ of Martian heights lie between what two numbers?
Low: $\square$ inches
High: $\square$ inches

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Problem 2693

Three identical units of merchandise were purchased during March, as shown: \begin{tabular}{rrrr} & & \multicolumn{2}{c}{ Units } \\ \hline Mar. Cost & 3 & Purchase & 1 \\ 10 & Purchase & 1 & 840 \\ 19 & Purchase & 1 & 880 \\ \cline { 2 - 3 } Total & & 3 & $\$ 2,550$ \\ \hline \hline \end{tabular}
Assume that one unit is sold on March 23 for \$1, 125. Determine the gross profit for March and ending inventory on March 31 using (a) FIFO, (b) LIFO, and (c) weighted average cost methods
Gross Profit Ending Inventory a. First-in, first-out (FIFO) b. Last-in, first-out (LIFO) c. Weighted average cost $\square$ $\$$ $\square$ $\square$ $\$$ $\square$

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Problem 2694

السؤال 9 $y=\tan \left(4 x^{2}+1\right) \quad$ اذا كان لدينا الداله $\begin{aligned} y^{\prime}=\sec ^{2}(8 x) & \text {.a } \bigcirc \\ y^{\prime}=(8 x+1) \sec ^{2}\left(4 x^{2}+1\right) & \text {.b } \bigcirc \\ y^{\prime}=(8 x) \sec ^{2}\left(4 x^{2}+1\right) & . c \bigcirc \end{aligned}$

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Problem 2695

السؤال 1
ازا كان لدينا الدالة y=3x5 فإن : $\begin{array}{rr} y^{\prime \prime \prime}=15 x^{4}-2 x-4 & . \mathrm{a} \bigcirc \\ y^{\prime \prime \prime}=180 x^{2} & . \mathrm{b} \bigcirc \\ y^{\prime \prime \prime}=60 x^{3}-2 & . c \bigcirc \end{array}$

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Problem 2696

السؤال 8 y=3x5 -x²-4x+2 اذا كان لدينا الدالة فإن : $\begin{array}{r} y^{\prime \prime \prime}=15 x^{4}-2 x-4 \quad \text {.a } \bigcirc \\ y^{\prime \prime \prime}=180 x^{2} \quad . \mathrm{b} \bigcirc \\ y^{\prime \prime \prime}=60 x^{3}-2 \quad . c \bigcirc \end{array}$

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Problem 2697

السؤال 6
اذا كان لاينا الداله $y=\tan \left(4 x^{2}+1\right)$ فإن : $y^{\prime}=(8 x) \sec ^{2}\left(4 x^{2}+1\right)$ .a $y^{\prime}=(8 x+1) \sec ^{2}\left(4 x^{2}+1\right)$ $y^{\prime}=\sec ^{2}(8 x)$ .c
1 درجات حفظ الإجا

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Problem 2698

السؤال 5 $y=\sin \left(x^{3}+x-4\right) \quad$ اذا كان لدينا الدالة فإن : $\begin{aligned} y^{\prime}=\left(3 x^{2}+1\right) \cos \left(x^{3}+x-4\right) & . \mathrm{a} \bigcirc \\ y^{\prime}=\cos \left(3 x^{2}+1\right) & \text {.b } \bigcirc \\ y^{\prime}=\left(3 x^{2}\right) \cos \left(x^{3}+x-4\right) & \text {.c } \bigcirc \end{aligned}$

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Problem 2699

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} $\$ 87$ & $\$ 114$ & $\$ 97$ & $\$ 79$ & $\$ 81$ & $\$ 92$ & $\$ 94$ & $\$ 89$ & $\$ 94$ & $\$ 80$ \\ $\$ 107$ & $\$ 112$ & $\$ 102$ & $\$ 95$ & $\$ 86$ & $\$ 92$ & $\$ 76$ & $\$ 99$ & $\$ 90$ & \end{tabular} a) Determine $Q_{2}$ . $\mathrm{Q}_{2}=$

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Problem 2700

Directions: For questions 2 and 3, complete the table and graph for each relation. Then give the domain and range. For questions 4 and 5, give the ordered pairs and complete the table for the relation shown on the graph. Then give the domain and range. 2. $\begin{array}{c} \{(4,-1),(6,2),(-7,-6) \\ (-5,2),(-1,-8)\} \end{array}$ \begin{tabular}{|l|l|} \multicolumn{2}{|c|}{ TABLE } \\ \hline $x$ & $y$ \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}
GRAPH
Domain: Range: (c) Gina Wilson (All Things Algebra ${ }^{\circ}$ , LLC), 2016

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Analyze

Problem 2601

Problem 2602

What is the ratio of syllables to vowels?ANCILLARY

Problem 2603

Put these numbers in order from least to greatest. 0.79 34\frac{3}{4}43​ 78\frac{7}{8}87​ Submit

Problem 2604

Problem 2605

Problem 2606

Problem 2607

Problem 2608

Problem 2609

Problem 2610

Problem 2611

Problem 2612

Problem 2613

Problem 2614

Problem 2615

Choose the statement(s) that correctly describe the system. {3x+z=212x+y−z=1912x+y+z=17\left\{\begin{array}{rr} 3 x+z= & 2 \\ 12 x+y-z= & 19 \\ 12 x+y+z= & 17 \end{array}\right.⎩⎨⎧​3x+z=12x+y−z=12x+y+z=​21917​

Problem 2616

What is the domain and range of arccos⁡(x)\arccos (x)arccos(x) and arcsin⁡(x)?\arcsin (x) ?arcsin(x)?Edit View Insert Format Tools Table12pt • Paragraph

Problem 2617

1. [-/1 Points] DETAILS MY NOTESFill in the blank. For the function y=asin⁡(bx−c),cby=a \sin (b x-c), \frac{c}{b}y=asin(bx−c),bc​ represents the \qquad ---Select one cycle of the graph of the function. Need Help? Read It Watch It

Problem 2618

14x+3>5x+21 OR −13+6x≥13x−614 x+3>5 x+21 \text { OR }-13+6 x \geq 13 x-614x+3>5x+21 OR −13+6x≥13x−6Clear All Draw: □\square□

Problem 2619

If f(x)=xcos⁡−1(3x+2)−6−3x2f(x)=x \cos ^{-1}(3 x+2)-\sqrt{6-3 x^{2}}f(x)=xcos−1(3x+2)−6−3x2​, find f′(x)f^{\prime}(x)f′(x)

Problem 2620

Find the period and amplitude. y=6cos⁡4xy=6 \cos 4 xy=6cos4x period □\square□ amplitude □\square□

Problem 2621

Problem 2622

Look at this graph:What is the yyy-intercept? □\square□ Submit

Problem 2623

College student spends studying each week. They take a simple random sample of 91 students and compute a sample mean of 5.4 hours per week with a standard deviation of 1.2 hours. Find the 95%95 \%95% confidence interval for the population mean. Follow the PANIC acronym and answer each part.

Problem 2624

g) xx−2+1x+4=2x2−6x+8\frac{x}{x-2}+\frac{1}{x+4}=\frac{2}{x^{2}-6 x+8}x−2x​+x+41​=x2−6x+82​

Problem 2625

Look at this graph:What is the equation of the axis of symmetry? □\square□ Submit

Problem 2626

A rocket is launched in the air. The graph b shows the height of the rocket hhh in meters seconds. How long is the rocket in the air?

Problem 2627

Problem 2628

Problem 2629

Problem 2630

Problem 2631

Problem 2632

Problem 2633

Problem 2634

Find the critical point and determine if the function is increasing or decreasing on the given intervals. y=−x2+2x+7y=-x^{2}+2 x+7y=−x2+2x+7Critical point: c=c=c= □\square□ The function is: ? on (−∞,c)(-\infty, c)(−∞,c). ? on (c,∞)(c, \infty)(c,∞).

Problem 2635

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.Click twice to plot each segment. Click a segment to delete it.

Problem 2636

Find all critical points of the function f(x)=x2−3x+3f(x)=x^{2}-3 x+3f(x)=x2−3x+3 x=x=x=Preview My Answers Submit AnswersYou have attempted this problem 0 times.

Problem 2637

Find the critical numbers of the function f(x)=12x5−15x4−20x3+9f(x)=12 x^{5}-15 x^{4}-20 x^{3}+9f(x)=12x5−15x4−20x3+9 and classify them using a graph. x=x=x= □\square□ x=x=x= □\square□ is a Select an answer x=x=x= □\square□ is a Select an answer is a Select an answer

Problem 2638

3. Find the absolute maximum and absolute minimum of the functions on the given intervals. (a) \qquad 3−6x2+53-6 x^{2}+53−6x2+5 (d) f(x)=x+1xf(x)=x+\frac{1}{x}f(x)=x+x1​, [1/4,4][1 / 4,4][1/4,4] (C)

Problem 2639

Problem 2640

Problem 2641

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

Problem 2642

Problem 2643

Determine whether the relation y=6x+12 y = 6x + 12 y=6x+12 defines y y y as a function of x x x. Also, provide the domain of the function.

Problem 2644

Problem 2645

Problem 2646

Problem 2647

Problem 2648

Problem 2649

Problem 2650

Problem 2651

Problem 2652

Problem 2653

Problem 2654

Problem 2655

Function AAA and Function BBB are linear functions.Function AFunction B y=5x−2y=5 x-2y=5x−2Which statement is true?The yyy-intercept of Function A is greater than the yyy-intercept of Function B.The yyy-intercept of Function A is less than the yyy-intercept of Function B .

Problem 2656

Problem 2657

Find the domain of the function. (Enter your answer using interval notation.) f(x)=1x−5f(x)=\frac{1}{x-5}f(x)=x−51​ □\square□

What is the ratio of syllables to vowels?
ANCILLARY

Put these numbers in order from least to greatest. 0.79 $\frac{3}{4}$ $\frac{7}{8}$ Submit

Choose the statement(s) that correctly describe the system. $\left\{\begin{array}{rr} 3 x+z= & 2 \\ 12 x+y-z= & 19 \\ 12 x+y+z= & 17 \end{array}\right.$

What is the domain and range of $\arccos (x)$ and $\arcsin (x) ?$
Edit View Insert Format Tools Table
12pt • Paragraph

1. [-/1 Points] DETAILS MY NOTES
Fill in the blank. For the function $y=a \sin (b x-c), \frac{c}{b}$ represents the $\qquad$ ---Select one cycle of the graph of the function. Need Help? Read It Watch It

$14 x+3>5 x+21 \text { OR }-13+6 x \geq 13 x-6$
Clear All Draw: $\square$

If $f(x)=x \cos ^{-1}(3 x+2)-\sqrt{6-3 x^{2}}$ , find $f^{\prime}(x)$

Find the period and amplitude. $y=6 \cos 4 x$ period $\square$ amplitude $\square$

Look at this graph:
What is the $y$ -intercept? $\square$ Submit

College student spends studying each week. They take a simple random sample of 91 students and compute a sample mean of 5.4 hours per week with a standard deviation of 1.2 hours. Find the $95 \%$ confidence interval for the population mean. Follow the PANIC acronym and answer each part.

g) $\frac{x}{x-2}+\frac{1}{x+4}=\frac{2}{x^{2}-6 x+8}$

Look at this graph:
What is the equation of the axis of symmetry? $\square$ Submit

A rocket is launched in the air. The graph b shows the height of the rocket $h$ in meters seconds. How long is the rocket in the air?

Find the critical point and determine if the function is increasing or decreasing on the given intervals. $y=-x^{2}+2 x+7$
Critical point: $c=$ $\square$ The function is: ? on $(-\infty, c)$ . ? on $(c, \infty)$ .

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Click twice to plot each segment. Click a segment to delete it.

Find all critical points of the function $f(x)=x^{2}-3 x+3$ $x=$
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Find the critical numbers of the function $f(x)=12 x^{5}-15 x^{4}-20 x^{3}+9$ and classify them using a graph. $x=$ $\square$ $x=$ $\square$ is a Select an answer $x=$ $\square$ is a Select an answer is a Select an answer

3. Find the absolute maximum and absolute minimum of the functions on the given intervals. (a) $\qquad$ $3-6 x^{2}+5$ (d) $f(x)=x+\frac{1}{x}$ , $[1 / 4,4]$ (C)

Determine whether the relation $y = 6x + 12$ defines $y$ as a function of $x$ . Also, provide the domain of the function.

Function $A$ and Function $B$ are linear functions.
Function A
Function B $y=5 x-2$
Which statement is true?
The $y$ -intercept of Function A is greater than the $y$ -intercept of Function B.
The $y$ -intercept of Function A is less than the $y$ -intercept of Function B .

Find the domain of the function. (Enter your answer using interval notation.) $f(x)=\frac{1}{x-5}$ $\square$

BOOKMARK T4HWi QUESTIONS
19 Which equations represent linear functions? Select all that apply. Item 1 (A) $-x=y$ Item 2 Item 3 Item 4 B $y=\frac{1}{4} x^{2}+4$ Item 5 c. $6 x-3 y=12$ Item 6 Item 7 Item 8 Item 9

Consider the following expression. $2 b+6 a+5+7 a$
Select all of the true statements below. $2 b$ is a factor. $6 a$ and $7 a$ are like terms. $2 b$ is a coefficient. 5 is a constant. $2 b$ is a term.
Try again f these are true.

$8(1+6)(9 v+4)$ lect all of the true statements below. In $(9 v+4), 9 v$ is a constant. 8 is a factor. $(9 v+4)$ is written as a sum of three terms. In $9 v, 9$ is a coefficient. 1 and 6 are like terms.

For Questions 2-4, determine which option is less expensive Explain your thinking.
2. 7.items for, $\$ 1,1$ , or 10 items for $\$ 20$

6. Why might you want to determine the price of 3 items, instead of the price of one, to compare $\frac{\text { bitems }}{\$ 32}$ versus $\frac{9 \text { items }}{\$ 50}$ ?

Give the domain and range for the rational function. Use interval notation. $f(x)=\frac{1}{(x-7)^{2}}+5$

Sketch the function. $p(x)=-x^{4}+12 x^{2}-27$
Part: 0 / 4
Part 1 of 4
The end behavior of the function is (Choose one) $\boldsymbol{\nabla}$ to the left and (Choose one) $\boldsymbol{\nabla}$ to the right.

If there is more than one answer, separate them with comn Click on "None" if applicable. (a) $y$ -intercept(s): $\square$ ㅁ.... None (b) $x$ -intercept(s): $\square$