An opinion poll asks a sample of 500 adults whether they favor giving parents of school-age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers it collected. Suppose that in fact 45% of the population favor this idea. What is the probability that more than half of the sample are in favor? (Assume that the sample is an SRS.)

Public television station KQED in San Francisco broadcasts a sinusoidal radio signal at a power of $777 \mathrm{~kW}$. Assume that the wave spreads out uniformly into a hemisphere above the ground. At a home $5.00 \mathrm{~km}$ away from the antenna,(c) what is the average density of the energy this wave carries? (d) For the energy density in part (c), what percentage is due to the electric field and what percentage is due to the magnetic field?

Which object is likely to have the same composition as Earth's mantle? (1) a granite rock (2) a rhyolite rock (3) an iron meteorite (4) a stony meteorite

Show all your work. Indicate clearly the methods you use. The U.S. Forest Service is considering additional restrictions on the number of vehicles allowed to enter Yellowstone National Park. To assess public reaction, the service asks a random sample of 150 visitors if they favor the proposal. Of these, 89 say "Yes." Construct and interpret a 99% confidence interval for the proportion of all visitors to Yellowstone who favor the restrictions.

Graph ΔLMN with vertices L(1, 6), M(-2, 4) and N(3, 2) and its image after the composition. reflection: in the x-axis. Rotation: 270° about the origin.

For the following exercise, use composition to determine which pairs of functions are inverses. $f(x)=x^{2}+2 x+1, x \geq-1, \quad g(x)=-1+\sqrt{x}, x \geq 0$

Study the entries and answer the questions that follow. The prefix $\mathit{\text{circum}}$ means "arround, on all sides." The root $\mathit{\text{naviga}}$ means "to sail, to steer." The prefixes $\mathit{\text{intro}}$ and $\mathit{\text{intra}}$ mean "in, within, inside of." The roots $\mathit{\text{spec}}$ and $\mathit{\text{spect}}$ mean "to see, look at." The roots $\mathit{\text{vert}}$ and $\mathit{\text{vers}}$ mean "to turn." The root $\mathit{\text{locu}}$ means "speaking." The prefix $\mathit{\text{extro}}$ means "outside.". A. Using literal translations as guidance,define the following words without using a dictionary: 1. circumnavigate 2. retrospect 3. introvert 4. introspect 5. circumlocutions 6. extrovert

Graph ΔLMN with vertices L(-3, -2), M(-1, 1), and N(2, -3) and its image after the composition. Rotation: 90° abut the origin. Reflection: in the y-axis.

The Public Service Board (PSB) awarded two contracts worth a combined $3.07 million to increase the depth of a retention basin and reconstruct a spillway that was severely damaged in a flood 2 years ago. The PSB president stated that, surprisingly, the bids were$1,150,000 lower than PSB engineers estimated. If the projects are assumed to have a 20-year life, what is the annual worth of the savings at an interest rate of 5% per year?

Study the entries and answer the questions that follow. The prefix $\mathit{\text{circum}}$ means "arround, on all sides." The root $\mathit{\text{naviga}}$ means "to sail, to steer." The prefixes $\mathit{\text{intro}}$ and $\mathit{\text{intra}}$ mean "in, within, inside of." The roots $\mathit{\text{spec}}$ and $\mathit{\text{spect}}$ mean "to see, look at." The roots $\mathit{\text{vert}}$ and $\mathit{\text{vers}}$ mean "to turn." The root $\mathit{\text{locu}}$ means "speaking." The prefix $\mathit{\text{extro}}$ means "outside." C. List as many words as you can think of that contain the prefix $\mathit{\text{circum}}$ and the prefix $\mathit{\text{intro}}$. Try to define each word literally.

Perform each of the following steps.
Use the traditional method of hypothesis testing unless the P-value method is specified by your instructor.
Debt of College Graduates A random sample of the average debt (in dollars) at graduation from $30$ of the top $100$ public colleges and universities is listed below. Is there sufficient evidence at $\alpha=0.01$ to conclude that the population mean debt at graduation is less than $\$ 18,000$ ? Assume $\sigma=\$ 2605$.
d. Make the decision.

Trichloroethylene (TCE) is a common solvent used to degrease machine parts. Calculate the empirical formula for TCE if the percent composition is 18.25% C, 0.77% H, and 80.99% Cl.

Using the answer line provided, complete item below with the correct word from the box. Use each word once.

A. accolade

B. assuage

C. cacophony

D. censure

E. diatribe

F. edifice

G. gravity

H. infraction

I. profane

J. somber

If parents use _____ language around children, the children will most likely repeat it ____not only at home but also in public, and at the most embarrassing moments possible.

Use the following information. In a recent year, grade 8 Minnesota State public school students taking a mathematics assessment test had a mean score of 290 with a standard deviation of 37 . Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.

A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 300 ?