Word Problem

Problem 3101

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.

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Problem 3102

Question 12, 8.5.35 HW Score: $26.67 \%, 4$ of 15 Part 1 of 3 points
Points: 0 of 1 Save a. Suppose that between the ages of 22 and 32 , you contribute $\$ 5000$ per year to a $401(\mathrm{k})$ and your employer contributes $\$ 2500$ per year on your behalf. The interest rate is $8.1 \%$ compounded annually. What is the value of the $401(\mathrm{k})$ after 10 years? b. Suppose that after 10 years of working for this firm, you move on to a new job. Howe you keep your accumulated retirement funds in the $401(\mathrm{k})$ . How much money will you have in the plan when you reach age 65 ? c. What is the difference between the amount of money you will have accumulated in the $401(\mathrm{k})$ an the amount you contributed to the plan?
Click the icon to view some finance formulas. a. The value of the $401(\mathrm{k})$ after 10 years is $\$$ $\square$ (Do not round until the final answer. Then round to the nearest dollar as needed.)

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Problem 3103

Directions Divide. Round to the place indicated.
1. Tenth
5. Hundredth
9. Thousandth
13. Hundredth . 6 \longdiv { 5 } 1 . 9 \longdiv { 2 . 5 } . 0 3 \longdiv { 2 } 7 . 1 \longdiv { 6 . 3 }
2. Hundredth
6. Tenth
10. Hundredth
14. Tenth . 0 6 \longdiv { 7 . 1 } . 9 \longdiv { . 8 7 } 6 . 3 \longdiv { . 6 4 } 9 \longdiv { 1 0 }
3. Hundredth
7. Handredth
11. Hundredth
15. Thousandth 2 3 \longdiv { 1 } 1 . 3 \longdiv { . 1 4 } 5 . 1 \longdiv { 7 . 2 } 6 \longdiv { 2 }
4. Thousandth
8. Hundredth
12. One
16. Hundredth 5 . 8 \longdiv { 5 . 9 } . 6 2 \longdiv { 5 . 3 } . 0 2 4 \longdiv { 1 . 0 4 } 1 2 \longdiv { 1 . 4 5 }

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Problem 3104

The electric field intensity in polystyrene with $\epsilon_{r}=2.55$ , filling the space between the plates of a parallel capacitor is $10 \mathrm{KV} / \mathrm{m}$ . The distance between the plates is 1.55 mm . Calculate: - $\quad D$ and $P$ - The surface charge density of free charge on the plates. - The surface density of polarization charge. - The potential difference between the plates.

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Problem 3105

Write the decimal as a percent. $0.31$ $0.31=$ $\square$ \%

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Problem 3106

Write the function whose graph is the graph of $y=x^{2}$ , but is vertically stretched by a factor of 5 . $y=$ $\square$ (Use integers or fractions for any numbers in the expression.)

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Problem 3107

What angle (in radians) corresponds to 0.25 rotations around the unit circle? $\square$ radians (Give an exact answer as a fraction, not a decimal approximation.) help (angles)

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Problem 3108

(1 point)
What is the length of an arc cut off by an angle of 2.75 radians on a circle of radius 7 inches? $\square$ (include units: $\square$ )

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Problem 3109

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. $(2,3)$ $(-2,-3)$ $(-3,-2)$ $(3,2)$

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Problem 3110

Write the function whose graph is the graph of $y=\sqrt{x}+1$ , but is reflected about the $y$ -axis. $y=$ $\square$ (Simplify your answer.)

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Problem 3111

Watch the video and then solve the problem given below. Click here to watch the video. Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about one-sixth the amount found in living human beings. The amount of carbon-14 present in animal bones after $t$ years is given by $y=y_{0} e^{-0.0001216 t}$ , where $y_{0}$ is the amount of carbon-14 present in living human beings. About how long ago did the Egyplian die?
The Egyptian died about $\square$ years ago. (Round to the nearest integer as needed.)

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Problem 3112

The length of a rectangle is six inches more than two times the width. The perimeter is 30 inches. Find the length and width.
The length is $\square$ inches, and the width is $\square$ inches.

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Problem 3113

A number increased from 2,722 to 4,966 . Find the amount of increase.
The amount of increase is $\square$

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Problem 3114

A worker is getting a $6 \%$ raise. His current salary is $\$ 37,278$ . How much will his raise be?
His raise will be $\$$ $\square$ (Round to the nearest cent as needed.)

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Problem 3115

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.)

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Problem 3116

Solve the quadratic equation by completing the square. $x^{2}+6 x+4=0$
First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Simplify your answer as much as possible. If there is more than one solution, separate them with commas.
Form: $(x+\square)^{2}=$ $\square$ $(x-\square)^{2}=$ $\square$ Solution: $x=$ $\square$

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Problem 3117

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.

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Problem 3118

In a simple random sample of size 65 , there were 37 individuals in the category of interest.
Part: $0 / 4$ $\square$
Part 1 of 4 (a) Compute the sample proportion $\widehat{p}$ . Round the answer to at least three decimal places.
The sample proportion is $\square$

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Problem 3119

20. [-/2 Points]
DETAILS JMODD8 3.3.054.
Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.) (a) odd and doubles $\square$ (b) odd or doubles $\square$

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Problem 3120

Advanced Functions (MHF4U)
6. Use compound angles to evaluate the exact value for the following. (a) $\sin \frac{\pi}{12}$
6(a) $\qquad$ (b) $\cos \frac{17 \pi}{12}$
6(b) $\qquad$ (c) $\tan \left(-\frac{5 \pi}{12}\right)$
6(c) $\qquad$
7. Simplify and then evaluate each expression (no decimals). (a) $\cos \left(\frac{7 \pi}{12}\right) \cos \left(\frac{5 \pi}{12}\right)+\sin \left(\frac{7 \pi}{12}\right) \sin \left(\frac{5 \pi}{12}\right)$
7(a) simplified: $\qquad$ evaluate: $\qquad$ (b) $\sin 2 x \cos x-\cos 2 x \sin x$ , let: $x=\frac{4 \pi}{3}$
7(b) simplified: $\qquad$ evaluate: $\qquad$ (c) $2 \sin \frac{\pi}{8} \cos \frac{\pi}{8}$
7(b) simplified: $\qquad$ evaluate: $\qquad$
8. Express as a single trigonometric ratio (a) $\cos ^{2}\left(\frac{\beta}{4}\right)-\sin ^{2}\left(\frac{\beta}{4}\right)$
8(a) $\qquad$ (b) $1-2 \sin ^{2} 3 x$
8(b) $\qquad$
9. Find the exact value of $\frac{\tan \frac{\pi}{10}+\tan \frac{\pi}{15}}{1-\tan \frac{\pi}{10} \tan \frac{\pi}{15}}$ .
9. $\qquad$
10. Angles $A$ and $B$ are located in the first quadrant. If $\sin A=\frac{5}{13}$
10. $\qquad$ and $\cos B=\frac{3}{5}$ , determine the exact value of $\cos (A+B)$ .
11. Given $\sqrt{3} \cos \theta-2 \cos \theta \sin \theta=0$ , determine the exact angles of rotation
11. $\qquad$ $\qquad$ $\qquad$ $\qquad$
12. A child swings on a playground swing set. If the length of the
12. $\qquad$ swing is 3 m and the child swings through an angle of $\frac{\pi}{9}$ , determine the exact are length through which the child travels.

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Problem 3121

Approximate $f(x) = \ln x$ for the given values of $x$ . Round to 4 decimal places.
(e) $f\left(3.4 \times 10^{7}\right) \approx \square$
(f) $f\left(3.9 \times 10^{-7}\right) \approx \square$

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Problem 3122

Withdrawal symptoms may occur when a person using a painkiller stops using it. For a certain, widely taken painkiller, withdrawal symptoms occur in $16 \%$ of people who have stopped using the painkiller. Suppose that we will take a random sample of 10 people who have stopped using the painkiller. Let $\widehat{p}$ represent the proportion of people from the sample who experienced withdrawal symptoms. Consider the sampling distribution of the sample proportion $\hat{p}$ . Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed. (a) Find $\mu_{p}$ (the mean of the sampling distribution of the sample proportion). $\mu_{\hat{p}}=\square$ (b) Find $\sigma_{\hat{p}}$ (the standard deviation of the sampling distribution of the sample proportion). $\square$ $\sigma_{\hat{p}}=\amalg$

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Problem 3123

69. Consider the unbalanced equation for the combustion of hexane: $\mathrm{C}_{6} \mathrm{H}_{14}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \longrightarrow \mathrm{CO}_{2}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{~g})$
Balance the equation and determine how many moles of $\mathrm{O}_{2}$ are required to react completely with $7.2 \mathrm{~mol} \mathrm{C}_{6} \mathrm{H}_{14}$ .

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Problem 3124

Solve Problems with Percent - Instruction - Level F
At hockey practice, Coach Taylor always sets aside 20\% of the total time for players to warm up. The rest of the practice is spent on game play. Today's practice is 60 minutes. Coach Taylor needs to find out how much time players should spend warming up.
Complete the statement. The warm-up time is $\square$ \% of ? minutes.
Total Practice Time $\square$ \% $\square$ min

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Problem 3125

Find the area (in square inches) of the triangle. (Simplify your answer completely.) $b=10 \text { in., } h=8 \text { in. }$ $\square$ $\mathrm{in}^{2}$
Enter an exact number. Need Help? $\square$ Submit Answer

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Problem 3126

Calcium is essential to tree growth. In 1990 , the concentration of calcium in precipitation in Chautauqua, New York, was 0.11 milligram per liter $\left(\frac{\mathrm{mg}}{\mathrm{L}}\right)$ . A random sample of 8 precipitation dates in 2018 results in the following data: $\begin{array}{llllllll} 0.234 & 0.313 & 0.108 & 0.065 & 0.087 & 0.070 & 0.262 & 0.126 \end{array}$
A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot does not show any outliers. Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the $\mathrm{a}=0.1$ level of significance.
What are the null and alternative hypotheses? $\begin{array}{l} H_{0}: \mu=0.11 \\ H_{1}: \mu=0.11 \end{array}$ (Type integers or decimals. Do not round.) Find the test statistic. $t_{0}=1.40^{\circ}\left(R_{0} \quad \text { imal places as needed. }\right)$
Find the P -valt P -value $=$ $\square$ Is there suffici $\square$ three decimal places as needed.)
Since P -value $\square$ $\alpha$ , the null hypothesis and conclude that there $\square$ sufficient evidence that the calcium level in rainwater has changed. Clear all Check answer

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Problem 3127

(11) Calculate how many moles of $\mathrm{NO}_{2}$ form when each quantity of reactant completely reacts: $2 \mathrm{~N}_{2} \mathrm{O}_{3}(\mathrm{~g}) \longrightarrow 4 \mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(g)$ a. $2.5 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}$ c. $15.2 \mathrm{~g} \mathrm{~N}_{2} \mathrm{O}_{5}$ b. $6.8 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{3}$ d. $2.87 \mathrm{~kg} \mathrm{N,O}$

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Problem 3128

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the College Board, scores are normally distributed with $\mu=519$ . The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math' score of the 1800 students is 525 with a standard deviation of 112. Complete parts (a) through (d) below.
Click the icon to view the t-Distribution Area in the Right Tail. (b) Test the hypothesis at the $\alpha=0.10$ level of significance. Is a mean math score of 525 statistically significantly higher than 519 ? Conduct a hypothesis test using the P -value approach.
Find the test statistic. $t_{0}=2.27$ (Round to two decimal places as needed.) Approximate the P -value corresponding to the critical value of t . The P -value is between 0.02 and 0.01 . Is the sample mean statistically significantly higher? A. Yes, because the $P$ -value range is below $\alpha=0.10$ B. No, because the P -value range is below $\alpha=0.10$ . C. Yes, because the P -value range is above $\alpha=0.10$ . D. No, because the P -value range is above $\alpha=0.10$ .

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Problem 3129

Suppose the birth weights of full-term babies are normally distributed with mean 3250 grams and standard deviation $\sigma=480$ grams. Complete parts (a) through (c) below. (4) n 17 (c) Suppose the area under the normal curve to the riaht of $X=4210$ is 0.0228 . Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than $\square$ grams. B. The probability is 00228 that the birth weight of a randomly chosen full-term baby in this population is more than $\square$ grams. solve this View an example Get more help - Clear all Check answer

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Problem 3130

\begin{problem} A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the College Board, scores are normally distributed with $\mu=519$ . The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 525 with a standard deviation of 112. Complete parts (a) through (d) below.
(c) Do you think that a mean math score of 525 versus 519 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? \begin{enumerate} \item[A.] No, because the score became only $1.16\%$ greater. \item[B.] No, because every increase in score is practically significant. \item[C.] Yes, because the score became more than $116\%$ greater. \item[D.] Yes, because it is statistically significant. \end{enumerate}
(d) Test the hypothesis with $n=375$ students. Assume that the sample mean is still 525 and the sample standard deviation is still 112. Is a sample mean of 525 significantly more than 519 at the $\alpha=0.15$ significance level?
Find the test statistic $t_0 = 1.04$ (Round to two decimal places).
Approximate the P-value using the P-value approach.
The P-value is between: \begin{enumerate} \item[1.] 0.15 and 0.10 \item[2.] 0.005 and 0.0025 \item[3.] 0.001 and 0.0005 \item[4.] 0.20 and 0.15 \end{enumerate} \end{problem}

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Problem 3131

Find the sum of $12 \frac{3}{8}, 17 \frac{4}{5} \& 21 \frac{1}{4}$

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Problem 3132

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered? 1963.5 ft $1963.5 \mathrm{ft}^{2}$ 5890.5 ft $5890.5 \mathrm{ft}^{2}$

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Problem 3133

IQ scores: Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation $s=8$ . The developer of the test claims that the population standard deviation is greater than $\sigma=17$ . Do these data provide sufficient evidence to support this claim? Use the $\alpha=0.10$ level of significance.
Part: $0 / 5$ $\square$
Part 1 of 5
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \sigma(\text { Choose one) } \nabla \\ H_{1}: \sigma(\text { Choose one }) \nabla \end{array}$ Start over
This hypothesis test is a $\square$ (Choose one) test.

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Problem 3134

Translate the following argument into symbolic form. Then determine whether the argument is valid or invalid. The computer is thinking but the computer is not working. If the computer is working then the computer is thinking. Therefore, the computer is working.
Write the statement in symbolic form.

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Problem 3135

91. Earthquakes. On December 26, 2003, a major earthquake rocked southeastern Iran. In Bam, 30,000 people were killed, and 85\% of buildings were damaged or destroyed. The energy released measured $2 \times 10^{14}$ joules. Calculate the magnitude of the 2003 Iran earthquake with the Richter scale.

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Problem 3136

2 Eine ganzrationale Funktion $f$ dritten Grades beschreibt zu jedem Zeitpunkt die Gesamtmenge an Sauerstoff, die von einer Pflanze seit 6 Uhr produziert worden ist. Um 6 Uhr betragen die Produktion $0 \ell$ und die Produktionsrate $0 \mathrm{l} / \mathrm{h}$ . Um 14 Uhr wird mit $64 \mathrm{l} / \mathrm{h}$ die höchste Produktionsrate erreicht. a) Bestimmen Sie eine Funktionsgleichung der Funktion f. b) Berechnen Sie die Sauerstoffmenge, die im Zeitraum von 6 bis 20 Uhr insgesamt produziert wird. c) Berechnen Sie, in welchen Zeiträumen die Produktionsrate unter $10 \mathrm{l} / \mathrm{h}$ liegt.

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Problem 3137

What is the total payment required to pay off a promissory note issued for $\$ 400.00$ at $12 \%$ ordinary interest and a 90-day term? \$[?] Round to the nearest cent.

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Problem 3138

Solve Problems with Percent - Quiz - Level F
After a storm damages the community center, Shanika and her friends hold fundrais events to help pay for repairs. After the first event, they raise $\$ 240$ , which is $10 \%$ of total amount that they want to raise.
What is the total amount of money that Shanika and her friends want to raise?

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Problem 3139

Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the United States was $\$ 178,258$ . A random sample of 52 family practitioners in Los Angeles had mean earnings of $\bar{x}=\$ 193,130$ with a standard deviation of $\$ 42,047$ . Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? Use the $\alpha=0.10$ level of significance and the $P$ -value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=178,258 \\ H_{1}: \mu>178,258 \end{array}$
This hypothesis test is a $\square$ right-tailed test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. $t=2.55$
Part: $2 / 5$
Part 3 of 5 (c) Compute the $P$ -value. Round the answer to at least four decimal places. $P \text {-value }=$ $\square$ Start over

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Problem 3140

```latex State the conclusion. Choose the correct answer below.
A. Reject $\mathrm{H}_{0}$ . There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
B. Reject $\mathrm{H}_{0}$ . There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
C. Do not reject $\mathrm{H}_{0}$ . There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
D. Do not reject $\mathrm{H}_{0}$ . There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hello! It looks like you've captured a math problem related to hypothesis testing. However, the critical information needed to choose the correct conclusion is missing. Could you please provide the test statistic, p-value, or any significance level used for this hypothesis test? With that information, I can help determine the correct conclusion for the problem.
P value= 0.0000 ```

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Problem 3141

P-value $=0.0000$ (Round to three decimal places as needed.) What is the conclusion about the null hypothesis?
A. Fail to reject the null hypothesis because the $P$ -value is less than or equal to the significance level, $\alpha$ .
B. Reject the null hypothesis because the $P$ -value is greater than the significance level, $\alpha$ . C. Reject the null hypothesis because the $P$ -value is less than or equal to the significance level, $\alpha$ . D. Fail to reject the null hypothesis because the $P$ -value is greater than the significance level, $\alpha$ .

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Problem 3142

In circle G, $r=3$ units. Maria draws a circle with double the area of circle $G$ .
What is the area of Maria's circle? $6 \pi$ units $^{2}$ $9 \pi$ units $^{2}$ $12 \pi$ units $^{2}$ $18 \pi$ units $^{2}$

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Problem 3143

Zappos is an online retailer based in Nevada and employs 1,500 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set $a=0.025$ . The conclusion for this hypothesis test would be that because the test statistic is less than the critical value, we cannot conclude that the average age of Zappos employees is less than 36 years old. more than the critical value, we cannot conclude that the average age of Zappos employees is less than 36 years old. less than the critical value, we can conclude that the average age of Zappos employees is less than 36 years old. more than the critical value, we can conclude that the average age of Zappos employees is less than 36 years old.

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Problem 3144

Shingles is a painful, but not life-threatening, skin rash. A doctor has discovered a new ointment that he believes will be more effective in the treatment of shingles than the current medication. Eight patients are available to participate in the initial trials of this new ointment. It turns out that the new ointment does appear to be effective, but it is more effective for younger patients. A second study is planned, and many more patients are available. Based on the knowledge gained from the first study, which method is best to use in the second study? Use age as the response variable Decide which patients receive the new ointment using a multistage sample Use treatment and control groups and also ensure that the patients in the two groups are similar in terms of age Design the second study in the same way as the first

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Problem 3145

7. A person who was listening to a siren reported that the frequency of the sound fluctuated with time, measured in seconds. The minimum frequency that the person heard was 500 Hz , and the maximum frequency was 1000 Hz . The maximum frequency occurred at $t=0$ and $t=15$ . The person also reported that, in 15 s , she heard the maximum frequency 6 times (including the times at $t=0$ and $t=15$ ). What is the equation of the cosine function that describes the frequency of this siren?
8. A contestant on a game show spins a wheel that is located on a

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Problem 3146

The U.S. population in 1970 was $203,211,926$ . What was the approximate population written in scientific notation?

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Problem 3147

8. While forming a 1.50 kg aluminum statue, a metal smith heats the aluminum to $2700^{\circ} \mathrm{C}$ , pours it into a mould, and then cools it to a room temperature of $23.0^{\circ} \mathrm{C}$ . Calculate the thermal energy released by the aluminum during the process.

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Problem 3148

8) What is the pressure (in atm) of a 3.00 L gas vessel that has 18.0 grams of helium at $25^{\circ} \mathrm{C}$ ? A) 147 B) 36.7 C) 32.6 D) 1.81 9) Consider the reaction: $\mathrm{PCl}_{3}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{PCl}_{5}(\mathrm{~g})$ .
If $\left[\mathrm{PCl}_{3}\right]=0.78 \mathrm{M},\left[\mathrm{Cl}_{2}\right]=0.44 \mathrm{M}$ , and $\left[\mathrm{PCl}_{5}\right]=0.88$ at equilibrium, what is the value of K ? C) 2.6 D) 0.72 A) 0.39 B) 1.4

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Problem 3149

Anna Washburn 11/17/24 4:32 PM Question 8 of 8 This quiz: 8 point(s) possible This question: 1 point(s) possible Submit quiz
Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 milligrams claimed by the manufacturer. The mean acetaminophen content $f$ a random sample of 46 tablets is 603.3 milligrams. Test whether the claim that the mean amount of acetaminophen is different from 600 milligrams is supported or not supported. Assume that the population standard deviation is 4.9 milligrams. not supported supported

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Problem 3150

Déterminer les valeurs suivantes à l'aide des formules trigonométriques connues.
1. Si $\tan x=1.5$ , alors $\tan (-x)=$ $\qquad$
2. Si $\sin x=0.8$ , alors $\sin (-x)=$ $\qquad$
3. Si $\cos x=0.5$ , alors $\cos (-x)=$ $\qquad$

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Problem 3151

Find the inverse Laplace transform $f(t)$ of $F(s)=\frac{e^{-12 s}}{s^{2}}$ . Then sketch the graph of $f$ . $f(t)=$ $\square$ Choose the correct graph below. A. B. © C. D.

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Problem 3152

A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 4 feet per second, how fast is the circumference changing when the radius is 15 feet?
Change in circumference $=$

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Problem 3153

90000 الشريك مالك فقد دفع مبلغ 21000 دينار نقدأ تسديداً لكامل حصته بالشركة.
المطلوب:
1. البات قيد التاسيس باتباع: 1 - طريقة الشهرة.
ب - طريقة المكافاة.
2. اي من الطريقتين يعتبر اكثر عدالة، وضح ذلك بالارقام؟

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Problem 3154

7. A box contains bags of nails. Each bag has 24 nails. There are 960 nails in the box. How many bags are in the box?

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Problem 3155

4.2 To irrigate a soccer field, a special cylindrical watercart is used. The tank is $3,5 \mathrm{~m}$ long and has a diameter of 200 cm .
Refer to the picture and information above to answer the questions that follow. 4.2.1 Calculate the amount of water (in litres) when the water tank is full.
You may use the following formula: Volume $=\pi \times(\text { radius })^{2} \times$ length Use: $\boldsymbol{\pi}=3,142$ Also note that: $1000 \mathrm{~cm}^{3}=1$ litre and $1 \mathrm{~m}^{3}=1000$ litres 4.2.2 The water tank is made of a metal sheet. Calculate the amount (in square metres) of metal used to make a water tank. Round your answer to two decimal places. You may use the formula: Surface area $=2 \times \pi \times$ radius (radius + length) Use: $\pi=3,142$

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Problem 3156

5. What number is $50 \%$ of 200 ?

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Problem 3157

Question SWITCH years will it take for the size at a rate of $0.5 \%$
Provide your answer below:

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Problem 3158

Section 3.4 - Graphing a Parabola of the Form $y=a(x-h)^{2}$
5. Find a third point on the quadratic function that has the indicated vertex, and whose graph passes through given point. a) vertex $(3,2)$ , point $(5,7)$

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Problem 3159

Question Find the quadrant where the angle $-120^{\circ}$ , drawn in standard position, terminates.
Select the correct answer below: I II III IV FEEDBACK Content attribution

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Problem 3160

Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of 2 sides, and a medium drink. He has to decide between 5 different sandwiches, 4 different sides, and 6 kinds of drinks.
If he decided beforehand to get 2 different sides, how many different combinations could he order? - 120 480 360 240

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Problem 3161

7. Mit Hilfe einer Untersumme $U_{n}$ mit $n$ Rechteckstreifen der Breite $\Delta x$ kann der Flächeninhalt zwischen dem Graphen einer Funktion und der $x$ -Achse abgeschätzt werden. In der Abbildung sind der Graph einer Funktion $f$ und eine Untersumme $U_{5}$ dargestellt. Kreuze die beiden zutreffenden Aussagen an! \begin{tabular}{|l|c|} \hline $\int_{0}^{a} f(x) d x=U_{5}$ & $\square$ \\ \hline \begin{tabular}{l} Je kleiner $n$ , umso kleiner ist der Unterschied zwischen der Untersumme und \\ dem Flächeninhalt zwischen der $x$ -Achse und Funktionsgraph im Intervall $[0 ; a]$ . \end{tabular} & $\square$ \\ \hline $\Delta x=\frac{n}{a}$ & $\square$ \\ \hline \begin{tabular}{l} Die dargestellte Untersumme ist kleiner als der Flächeninhalt, den die Kurve im \\ Intervall $[0 ; a]$ mit der $x$ -Achse einschließt. \end{tabular} & $\square$ \\ \hline Für wachsendes $n$ nähert sich die Untersumme dem Wert $\int_{0}^{a} f(x) d x$ . & $\square$ \\ \hline \end{tabular}

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Problem 3162

Let $u, w, v_{1}, v_{2}$ , and $v_{3}$ be the vectors in $\mathbb{R}^{4}$ defined by $u=\left[\begin{array}{l} 17 \\ 12 \\ 16 \\ 10 \end{array}\right] \quad w=\left[\begin{array}{c} 29 \\ 12 \\ -29 \\ 14 \end{array}\right] \quad v_{1}=\left[\begin{array}{c} 7 \\ -2 \\ 6 \\ -19 \end{array}\right] \quad v_{2}=\left[\begin{array}{c} -2 \\ -19 \\ 1 \\ -18 \end{array}\right] \quad v_{3}=\left[\begin{array}{c} 6 \\ -8 \\ -11 \\ -1 \end{array}\right]$ (a) Is $u \in \operatorname{span}\left\{v_{1}, v_{2}, v_{3}\right\}$ ? Write all zeros if it is not in the span or write zero as a non-trivial (not all zero coefficients) linear combination of $u_{1}, v_{1}, v_{2}$ , and $v_{3}$ if $u$ is in the span. $0=\square u+\square v_{1}+\square v_{2}+\square v_{3}$ (b) Is $w \in \operatorname{span}\left\{v_{1}, v_{2}, v_{3}\right\}$ ? Write all zeros if it is not or if it is in the span write zero as a non-trivial (not all zero coefficients) linear combination of $w$ , $v_{1}, v_{2}$ , and $v_{3}$ if $w$ is in the span. $0=\square w+\square v_{1}+\square v_{2}+\square v_{3}$ (c) Type the dimension of $\operatorname{span}\left\{v_{1}, v_{2}, v_{3}, u\right\}$ : $\square$

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Problem 3163

L. 6 Slope-intercept form: write an equation A42
A line has a slope of 2 and a $y$ -intercept of $\frac{5}{8}$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest forn $\square$ Submit

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Problem 3164

One year Chris had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.21. Also, Nina had the lowest ERA of any female pitcher at the school with an ERA of 2.51. For the males, the mean ERA was 5.015 and the standard deviation was 0.653 . For the females, the mean ERA was 4.539 and the standard deviation was 0.835 . Find their respective $z$ -scores. Which player had the better year relative to their peers, Chris or Nina? (Note: In general, the lower the ERA, the better the pitcher.)
Chris had an ERA with a z-score of $\square$ $\square$ . Nina had an ERA with a z-score of $\square$ . (Round to two decimal places as needed.) Which player had a better year in comparison with their peers? A. Nina had a better year because of a lower $z$ -score. B. Nina had a better year because of a higher $z$ -score. C. Chris had a better year because of a lower $z$ -score. D. Chris had a better year because of a higher $z$ -score.

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Problem 3165

L. 6 Slope-intercept form: write an equation A42 You
A line has a slope of 6 and passes through the point $(-2,-16)$ . Write its equation in slopeintercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 3166

16. Gegeben ist die Funktion $E[0 ; 10] \mapsto \mathbb{R} . E(t)$ beschreibt die Anzahl der an einem Grippevirus erkrankten Einwohner in dieser Stadt zum Zeitpunkt $t$ (in Tagen). Wofür steht der Ausdruck $\frac{E(6)-E(3)}{E(3)} \cdot 100 ?$ Kreuze die zutreffende Antwort an! [1 aus 6] \begin{tabular}{|l|c|} \hline Der Ausdruck beschreibt die mittlere Änderungsrate von $E$ in $[3 ; 6]$ . & $\square$ \\ \hline \begin{tabular}{l} Der Ausdruck gibt den prozentuellen Zuwachs an Erkrankungen vom 3. bis zum \\
6. Tag an. \end{tabular} & $\square$ \\ \hline \begin{tabular}{l} Der Ausdruck beschreibt den durchschnittlichen Zuwachs an Erkrankungen pro \\ Tag in $[3 ; 6]$ . \end{tabular} & $\square$ \\ \hline Der Ausdruck beschreibt den absoluten Zuwachs der Erkrankten in $[3 ; 6]$ . & $\square$ \\ \hline Der Ausdruck gibt die Anzahl der neu Erkrankten am 6. Tag an. & $\square$ \\ \hline Der Ausdruck gibt die prozentuelle Änderung von E pro Tag an. & $\square$ \\ \hline \end{tabular}

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Problem 3167

L. 6 Slope-intercept form: write an equation A42 You
A line passes through the points $(4,18)$ and $(9,18)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 3168

Does the right Riemann sum underestimate or overestimate the area of the region under the graph of a positive decreasing function? Explain.
Choose the correct answer below. A. Overestimate; the rectangles do not fit under the curve. B. Underestimate; the rectangles do not fit under the curve. C. Overestimate; the rectangles all fit under the curve. D. Underestimate; the rectangles all fit under the curve.

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Problem 3169

(C) 696 (D) 1,586 (E) 1,686 (B) (c) (D) (E)
1. When 7,903 is divided by 406 , the result is
USE THIS SPACE FOR closest to which of the following? (A) 10 (B) 15 (C) 20 (D) 25 (E) 30

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Problem 3170

Algebra 1 L. 6 Slope-intercept form: write an equation A42
A line passes through the points $(-11,10)$ and $(14,-10)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 3171

A line has a slope of 0 and passes through the point $(10,6)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 3172

8. The average weight of 3 boys is 120 pounds and the average weight of 2 girls is 105 pounds. What is the average weight, in pounds, of all 5 children? (A) 92.5 (B) 110 (C) 112.5 (D) 114
114 5 \longdiv { 5 7 0 } $\frac{54}{07} 1$ $\frac{5}{20}$ (E) 116

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Problem 3173

Let $h(x)=\sqrt{3 x-3}$ and let $c$ be the number that satisfies the Mean Value Theorem for $h$ on the interval $4 \leq x \leq 13$ .
What is $c$ ?
Choose 1 answer: (A) 5.25 (B) 7.5 (c) 7.75 (D) 11.5

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Problem 3174

Part 1 of 3 points Points: 0 of 1
Write the converse, inverse, and contrapositive of the statement. If you eat you" vegetables, then you can have dessert.
Identify the converse statement.
A. If you did not eat your vegetables, then you cannot have dessert. B. If you cannot have dessert, then you eat your vegetables. C. If you can have dessert, then you eat your vegetables. D. If you cannot have dessert, then you did not eat your vegetables. View an example Get more help

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Problem 3175

Given below are the number of successes and sample size for a simple random sample from a population. $x=7, n=50,99 \% \text { level }$ a. Determine the sample proportion. b. Decide whether using the one-proportion z-interval procedure is appropriate. c. If appropriate, use the one-proportion z-interval procedure to find the confidence interval at the specified confidence level. d. If appropriate, find the margin of error for the estimate of $p$ and express the confidence interval in terms of the sample proportion and the margin of error. a. $\hat{p}=0.14$ (Type an integer or a decimal. Do not round.) b. Is the one-proportion z-interval procedure appropriate? Select all that apply. A. The procedure is appropriate because the necessary conditions are satisfied. B. The procedure is not appropriate because $x$ is less than 5 . C. The procedure is not appropriate because $n-x$ is less than 5 . D. The procedure is not appropriate because the sample is not a simple ramom sample. c. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The $99 \%$ confidence interval is from .0135 to .2665 . (Round to three decimal places as needed. Use ascending order.) B. The one-proportion z-interval procedure is not appropriate.

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Problem 3176

Write the converse, inverse, and contrapositive of the statement. If you eat you'vegetables, then you can have dessert. B. If you cannot have dessert, then you eat your vegetables. C. If you can have dessert, then you eat your vegetables. D. If you cannot have dessert, then you did not eat your vegetables.
Identify the inverse statement. A. If you can have dessert, then you eat your vegetables. B. If you cannot have dessert, then you eat your vegetables. C. If you cannot have dessert, then you did not eat your vegetables. D. If you did not eat your vegetables, then you cannot have dessert.
Identify the contrapositive statement.
A. If you cannot have dessert, then you eat your vegetables. B. If you can have dessert, then you eat your vegetables. C. If you did not eat your vegetables, then you cannot have dessert. D. If you cannot have dessert, then you did not eat your vegetables. View an example Get more help - Clear all Question 17 (0/1) Ques

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Problem 3177

2. Ms. Vizzari purchased 972 square yards of carpet for $\$ 17,496$ . What was her cost per square foot? (A) $\$ 18.00$ (B) $\$ 9.75$ (C) $\$ 6.00$ (D) $\$ 2.00$ (E) $\$ 1.25$

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Problem 3178

Check here for instructional material to complete this problem. If ( $-13,-5$ ) is an interval on the number line, find the value that is in the middle of the interval.
The value is $\square$ (Type an integer or a decimal. Do not round.)

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Problem 3179

2. $[-/ 2$ Points]
DETAILS MY NOTES MENDSTAT15 8.2.010. ASK YOUR TEACHER
PRACTICE ANOTHER Calculate the $95 \%$ margin of error in estimating a population mean $\mu$ for the following values. (Round your answer to three decimal places.) $n=7,000, s^{2}=64$ $\qquad$ Consider that for $s^{2}=64$ and sample sizes of 50,100, and 500 the margins of error are 2.217, 1.568, and 0.701 respectively. Comment on how an increased sample size affects the margin of error. As the sample size increases the margin of error decreases. As the sample size increases the margin of error remains relatively constant. As the sample size increases the margin of error also increases. You may need to use the appropriate appendix table or technology to answer this question. Need Help? Read it Submit Answer
3. [-/1 Points $]$
DETAILS MY NOTES MENDSTAT15 8.3.003.S. ASK YOUR TEACHER PRACTICE ANOTHER

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Problem 3180

13. Taxi fare is $\$ 1.00$ for the first $\frac{1}{2}$ mile and $\$ 0.35$ for each additional $\frac{1}{2}$ mile. How many miles can a passenger ride for $\$ 3.10$ ? (A) $3 \frac{1}{2}$ (B) 4 (C) $6 \frac{1}{2}$ (D) 7 (E) $7 \frac{1}{2}$

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Problem 3181

In a multiple linear regression of $E\left(Y \mid X_{1}=x_{1}, X_{2}=x_{2}\right)=a+b_{1} x_{1}+b_{2} x_{2}$ , we get a table of coefficients like this:
Coefficient Value a $2.0$ $b_{1}$ -1 $b_{2}$ 0.5
Consider two groups that have the following characteristics: - The same values of $X_{2}$ - Group A has $X_{1}=2$ - Group B has $X_{1}=1$
Let $E(Y \mid A)$ be the average of $Y$ within group A, and $E(Y \mid B)$ be the average of $Y$ within group B.
According to this model, which group has the larger conditional mean of $Y$ ? Group A Group B They are the same. We cannot answer without knowing the value of $X_{2}$ .

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Problem 3182

4 Which situation is best represented by the inequality $12 x+70 \geq 10 x+80$ ? (F) Cell phone company A charges an $\$ 80$ deposit and $\$ 10$ each month for unlimited service. Cell phone company B charges a $\$ 70$ deposit and $\$ 12$ each month for unlimited service. After how many months, $x$ , will cell phone company A cost more than cell phone company B? G Caroline receives $\$ 80$ for her birthday and earns $\$ 10$ each time she babysits. Addison has saved $\$ 70$ and earns $\$ 12$ each time she babysits. How many times must the girls babysit, $x$ , so that Addison has at least as much money as Caroline? H The science club plans a field trîp. A trip to an observatory will cost $\$ 80$ for gas plus a $\$ 10$ entrance fee per member. A trip to a planetarium will cost $\$ 70$ for gas plus a $\$ 12$ entrance fee per member. How many miles, $x$ , can the science club travel so that the observatory trip is less expensive than the trip to the planetarium? J.Marco wants to rent a drum set. At Music World, the cost to rent drums is $\$ 12$ per month plus an $\$ 80$ deposit. Instrumental Music rents drums for $\$ 10$ per month with a $\$ 70$ deposit. How many months, $x$ , can Marco rent drums from Music World and pay less than he will at Instrumental Music?

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Problem 3183

A house was valued at $\$ 125,000$ in the year 1990 . The value appreciated to $\$ 160,000$ by the year 2001. A) What was the annual growth rate between 1990 and 2001? $r=$ $\square$ Round the growth rate to 4 decimal places. B) What is the correct answer to part A written in percentage form? $r=\square \%$ C) Assume that the house value continues to grow by the same percentage. What will the value equal in the year 2005? value $=\$$ $\square$

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Problem 3184

15. The average time for each leg of a five-leg road race took Bob three hours and thirty-six minutes. How long did it take Bob to complete the race? (A) 12 hours and 20 minutes (B) 13 hours (C) 16 hours and 16 minutes (D) 18 hours (E) 19 hours and 12 minutes

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Problem 3185

MATEMATIK
Test 2 HJÄLPMEDEL: Miniräknare 1 Hur stor andel av är vit? a) Svara med ett bråk i enklaste form. b) Svara i decimalform. c) Svara i procentform.
2 Hur många procent är B M K a) 155 km av 420 km ? Avrunda till hela procent. b) 65 g av 990 g ? Avrunda till tiondels procent.
3 I en skola är det $15 \%$ av flickorna som åker skolbuss till skolan. Andelen pojkar som åker skolbuss är också $15 \%$ . "Alltså är det $30 \%$ av alla elever som åker skolbuss" tänker Adrian. Stämmer det? Förklara hur du tänker.
P R 4 En dag tränade Sebastian skytte. Han träffade målet med $90 \%$ av skotten vilket innebar 54 träff. Hur många skott sköt Sebastian?
5 Med hur många procent har priset sänkts? Avrunda till hela procent.
6 Hur stor är delen? a) $65 \%$ av 2900 m b) $3,5 \%$ av 82000 kr
7 En gitarr kostade 3500 kr. Priset sänktes med $35 \%$ . Vad kostade gitarren då? 8 I en kommun ökade antalet människor med $5 \%$ . I en annan ökade befolkningen med $10 \%$ . Vilken av kommunerna hade störst befolkning sedan?
9 Hur mycket är a) $150 \%$ av 50 kr b) $200 \%$ av 60 kr
10 På ett konto med räntesatsen $2 \%$ har Amanda 25000 kr. Efter ett halvår tar hon ut alla pengar. Hur mycket får hon ut? B M K
11 Räntesatsen på ett lån höjdes från 1,8 \% till 2,5 \%. B M K a) Med hur många procentenheter höjdes räntesatsen? b) Hur stor var höjningen i procent? Avrunda till hela procent.

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Problem 3186

The coordinates of the endpoints of $\overline{C D}$ are $C(-7,9)$ and $D(8,-6)$ . Point $E$ is on $\overline{C D}$ and divides it such that $C E: D E$ is $2: 3$ .
What are the coordinates of $E$ ? Write your answers as integers or decimals. $\square$ , $\square$ Submit

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Problem 3187

Consider a triangle $A B C$ like the one below. Suppose that $a=48, b=67$ , and $c=22$ . (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or". $A=$ $\square$ $\square^{\circ}, B=$ $\square$ $]^{\circ}, C=$ $\square$ 。 a No solution

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Problem 3188

The coordinates of the endpoints of $\overline{S T}$ are $S(10,2)$ and $T(17,16)$ . Point $U$ is on $\overline{S T}$ and divides it such that $S U: T U$ is $2: 5$ .
What are the coordinates of $U$ ? Write your answers as integers or decimals. $\square$ $\square$ Submit

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Problem 3189

It is possible to determine the ionization energy for hydrogen using the Bohr equation. Calculate the ionization energy (in kJ) for a mole of hydrogen atoms, making the assumption that ionizatio the transition from $n=1$ to $n=\infty$ . $7.62 \times 10^{3} \mathrm{~kJ}$ $5.33 \times 10^{9} \mathrm{~kJ}$ $3.62 \times 10^{3} \mathrm{~kJ}$ $2.76 \times 10^{9} \mathrm{~kJ}$ $1.31 \times 10^{3} \mathrm{~kJ}$ Submil Previous Answers RequestAnswer
X Incorrect; Try Again; 5 attempts remaining (1) Al Study Tools

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Problem 3190

People walking on the street were asked if they sang in the shower. The number of people who said yes was 111 and no was 200. Find the probability that if a person is chosen at random, they sing in the shower. Round your answer to two decimal places. $\square$
Submit Question

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Problem 3191

A bag contains 7 orange marbles, 5 green marbles, and 8 purple marbles. Two marbles are randomly selected from the bag with replacement. Find the following probabilities. Write your answers as fractions in the simplest form. a. A green marble and then a purple marble is randomly selected. $\square$ b. A purple marble and then a green marble is randomly selected. $\square$ c. Two orange marbles are selected. $\square$ d. Neither marble selected is orange. $\square$

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Problem 3192

Solve and reduce the result to lowest fractional terms. Input answer as a fraction, not a decimal. Sandy can assemble a particular type of light fixture in $\frac{5}{6}$ hour. It takes her $\frac{1}{3}$ hour to hang the fixture, and another $\frac{1}{2}$ hour to wire the fixture once it is hung. How many fixtures could Sandy install in 10 hours?

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Problem 3193

4. Determine the coordinates of the new point after a rotation of $200^{\circ}$ about $(0,0)$ from the point $(10,0)$ . (Transformations of Sinusoidal Functions)

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Problem 3194

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300 . An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the $85 \%$ confidence interval to 5 points, how many students should the administrator sample? Make sure to give a whole number answer.

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Problem 3195

Convert the following decimal number to a proper fraction. Enter answer in the simplest form. $0.322$

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Problem 3196

Convert the following decimal number to a proper fraction. Enter answer in the simplest form. $6.649$

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Problem 3197

You measure 36 randomly selected textbooks' weights, and find they have a mean weight of 76 ounces. Assume the population standard deviation is 10 ounces. Based on this, construct a $95 \%$ confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places

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Problem 3198

A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides measure 12.3 cm and 16.4 cm . She knows that the angle between the two sides is $116^{\circ}$ . What is the area of the surface she plans to cover with the coating?
The surface area is $\square$ $\mathrm{cm}^{2}$ (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)

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Problem 3199

Given the experiment, determine the number of outcomes possible 5 different states from the United States of America are chosen.

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Problem 3200

The perimeter of a rectangle is 150 cm . The length is 15 cm greater than the width. Find the dimensions.

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1 ...29 30 31 32 33 34 35 ...122

Word Problem

Problem 3101

Question 4, 8.5.C5 Points: 0 of 1 SaveFill 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.

Problem 3102

Problem 3103

Problem 3104

Problem 3105

Write the decimal as a percent. 0.310.310.31 0.31=0.31=0.31= □\square□ \%

Problem 3106

Write the function whose graph is the graph of y=x2y=x^{2}y=x2, but is vertically stretched by a factor of 5 . y=y=y= □\square□ (Use integers or fractions for any numbers in the expression.)

Problem 3107

What angle (in radians) corresponds to 0.25 rotations around the unit circle? □\square□ radians (Give an exact answer as a fraction, not a decimal approximation.) help (angles)

Problem 3108

(1 point)What is the length of an arc cut off by an angle of 2.75 radians on a circle of radius 7 inches? □\square□ (include units: □\square□ )

Problem 3109

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

Problem 3110

Write the function whose graph is the graph of y=x+1y=\sqrt{x}+1y=x​+1, but is reflected about the yyy-axis. y=y=y= □\square□ (Simplify your answer.)

Problem 3111

Problem 3112

The length of a rectangle is six inches more than two times the width. The perimeter is 30 inches. Find the length and width.The length is □\square□ inches, and the width is □\square□ inches.

Problem 3113

A number increased from 2,722 to 4,966 . Find the amount of increase.The amount of increase is □\square□

Problem 3114

A worker is getting a 6%6 \%6% raise. His current salary is $37,278\$ 37,278$37,278. How much will his raise be?His raise will be $\$$ □\square□ (Round to the nearest cent as needed.)

Problem 3115

Problem 3116

Problem 3117

Problem 3118

In a simple random sample of size 65 , there were 37 individuals in the category of interest.Part: 0/40 / 40/4 □\square□Part 1 of 4 (a) Compute the sample proportion pundefined\widehat{p}p​. Round the answer to at least three decimal places.The sample proportion is □\square□

Problem 3119

20. [-/2 Points]DETAILS JMODD8 3.3.054.Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.) (a) odd and doubles □\square□ (b) odd or doubles □\square□

Problem 3120

Problem 3121

Approximate f(x)=ln⁡x f(x) = \ln x f(x)=lnx for the given values of x x x. Round to 4 decimal places.(e) f(3.4×107)≈□ f\left(3.4 \times 10^{7}\right) \approx \square f(3.4×107)≈□(f) f(3.9×10−7)≈□ f\left(3.9 \times 10^{-7}\right) \approx \square f(3.9×10−7)≈□

Problem 3122

Problem 3123

Problem 3124

Problem 3125

Find the area (in square inches) of the triangle. (Simplify your answer completely.) b=10 in., h=8 in. b=10 \text { in., } h=8 \text { in. }b=10 in., h=8 in. □\square□ in2\mathrm{in}^{2}in2Enter an exact number. Need Help? □\square□ Submit Answer

Problem 3126

Problem 3127

Problem 3128

Problem 3129

Problem 3130

Problem 3131

Find the sum of 1238,1745&211412 \frac{3}{8}, 17 \frac{4}{5} \& 21 \frac{1}{4}1283​,1754​&2141​

Problem 3132

Problem 3133

Problem 3134

Translate the following argument into symbolic form. Then determine whether the argument is valid or invalid. The computer is thinking but the computer is not working. If the computer is working then the computer is thinking. Therefore, the computer is working.Write the statement in symbolic form.

Problem 3135

Problem 3136

Problem 3137

What is the total payment required to pay off a promissory note issued for $400.00\$ 400.00$400.00 at 12%12 \%12% ordinary interest and a 90-day term? \$[?] Round to the nearest cent.

Problem 3138

Problem 3139

Problem 3140

Problem 3141

Problem 3142

In circle G, r=3r=3r=3 units. Maria draws a circle with double the area of circle GGG.What is the area of Maria's circle? 6π6 \pi6π units 2^{2}2 9π9 \pi9π units 2^{2}2 12π12 \pi12π units 2^{2}2 18π18 \pi18π units 2^{2}2

Problem 3143

Problem 3144

Problem 3145

Problem 3146

The U.S. population in 1970 was 203,211,926203,211,926203,211,926. What was the approximate population written in scientific notation?

Problem 3147

Problem 3148

Problem 3149

Problem 3150

Problem 3151

Find the inverse Laplace transform f(t)f(t)f(t) of F(s)=e−12ss2F(s)=\frac{e^{-12 s}}{s^{2}}F(s)=s2e−12s​. Then sketch the graph of fff. f(t)=f(t)=f(t)= □\square□ Choose the correct graph below. A. B. © C. D.

Problem 3152

A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 4 feet per second, how fast is the circumference changing when the radius is 15 feet?Change in circumference ===

Problem 3153

Problem 3154

7. A box contains bags of nails. Each bag has 24 nails. There are 960 nails in the box. How many bags are in the box?

Problem 3155

Problem 3156

5. What number is 50%50 \%50% of 200 ?

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.

Write the decimal as a percent. $0.31$ $0.31=$ $\square$ \%

Write the function whose graph is the graph of $y=x^{2}$ , but is vertically stretched by a factor of 5 . $y=$ $\square$ (Use integers or fractions for any numbers in the expression.)

What angle (in radians) corresponds to 0.25 rotations around the unit circle? $\square$ radians (Give an exact answer as a fraction, not a decimal approximation.) help (angles)

(1 point)
What is the length of an arc cut off by an angle of 2.75 radians on a circle of radius 7 inches? $\square$ (include units: $\square$ )

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. $(2,3)$ $(-2,-3)$ $(-3,-2)$ $(3,2)$

Write the function whose graph is the graph of $y=\sqrt{x}+1$ , but is reflected about the $y$ -axis. $y=$ $\square$ (Simplify your answer.)

The length of a rectangle is six inches more than two times the width. The perimeter is 30 inches. Find the length and width.
The length is $\square$ inches, and the width is $\square$ inches.

A number increased from 2,722 to 4,966 . Find the amount of increase.
The amount of increase is $\square$

A worker is getting a $6 \%$ raise. His current salary is $\$ 37,278$ . How much will his raise be?
His raise will be $\$$ $\square$ (Round to the nearest cent as needed.)

In a simple random sample of size 65 , there were 37 individuals in the category of interest.
Part: $0 / 4$ $\square$
Part 1 of 4 (a) Compute the sample proportion $\widehat{p}$ . Round the answer to at least three decimal places.
The sample proportion is $\square$

20. [-/2 Points]
DETAILS JMODD8 3.3.054.
Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.) (a) odd and doubles $\square$ (b) odd or doubles $\square$

Approximate $f(x) = \ln x$ for the given values of $x$ . Round to 4 decimal places.
(e) $f\left(3.4 \times 10^{7}\right) \approx \square$
(f) $f\left(3.9 \times 10^{-7}\right) \approx \square$

Find the area (in square inches) of the triangle. (Simplify your answer completely.) $b=10 \text { in., } h=8 \text { in. }$ $\square$ $\mathrm{in}^{2}$
Enter an exact number. Need Help? $\square$ Submit Answer

Find the sum of $12 \frac{3}{8}, 17 \frac{4}{5} \& 21 \frac{1}{4}$

Translate the following argument into symbolic form. Then determine whether the argument is valid or invalid. The computer is thinking but the computer is not working. If the computer is working then the computer is thinking. Therefore, the computer is working.
Write the statement in symbolic form.

What is the total payment required to pay off a promissory note issued for $\$ 400.00$ at $12 \%$ ordinary interest and a 90-day term? \$[?] Round to the nearest cent.

In circle G, $r=3$ units. Maria draws a circle with double the area of circle $G$ .
What is the area of Maria's circle? $6 \pi$ units $^{2}$ $9 \pi$ units $^{2}$ $12 \pi$ units $^{2}$ $18 \pi$ units $^{2}$

The U.S. population in 1970 was $203,211,926$ . What was the approximate population written in scientific notation?

Find the inverse Laplace transform $f(t)$ of $F(s)=\frac{e^{-12 s}}{s^{2}}$ . Then sketch the graph of $f$ . $f(t)=$ $\square$ Choose the correct graph below. A. B. © C. D.

A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 4 feet per second, how fast is the circumference changing when the radius is 15 feet?
Change in circumference $=$

5. What number is $50 \%$ of 200 ?

Question SWITCH years will it take for the size at a rate of $0.5 \%$
Provide your answer below:

Section 3.4 - Graphing a Parabola of the Form $y=a(x-h)^{2}$
5. Find a third point on the quadratic function that has the indicated vertex, and whose graph passes through given point. a) vertex $(3,2)$ , point $(5,7)$

Question Find the quadrant where the angle $-120^{\circ}$ , drawn in standard position, terminates.
Select the correct answer below: I II III IV FEEDBACK Content attribution

L. 6 Slope-intercept form: write an equation A42
A line has a slope of 2 and a $y$ -intercept of $\frac{5}{8}$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest forn $\square$ Submit

L. 6 Slope-intercept form: write an equation A42 You
A line has a slope of 6 and passes through the point $(-2,-16)$ . Write its equation in slopeintercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

L. 6 Slope-intercept form: write an equation A42 You
A line passes through the points $(4,18)$ and $(9,18)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

(C) 696 (D) 1,586 (E) 1,686 (B) (c) (D) (E)
1. When 7,903 is divided by 406 , the result is
USE THIS SPACE FOR closest to which of the following? (A) 10 (B) 15 (C) 20 (D) 25 (E) 30

A line has a slope of 0 and passes through the point $(10,6)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

8. The average weight of 3 boys is 120 pounds and the average weight of 2 girls is 105 pounds. What is the average weight, in pounds, of all 5 children? (A) 92.5 (B) 110 (C) 112.5 (D) 114
114 5 \longdiv { 5 7 0 } $\frac{54}{07} 1$ $\frac{5}{20}$ (E) 116

Let $h(x)=\sqrt{3 x-3}$ and let $c$ be the number that satisfies the Mean Value Theorem for $h$ on the interval $4 \leq x \leq 13$ .
What is $c$ ?
Choose 1 answer: (A) 5.25 (B) 7.5 (c) 7.75 (D) 11.5