Making Generalizations

In a paragraph, describe the qualities a tyrant needed to be successful.

Consider:

• how the tyrants came to power

• what some tyrants were able to accomplish

• the importance of the support of the public to a tyrant's rule-

On the line provided, write the acronym for each of the following word groups.

Example $\underline{\text{UFO}}$ 1. unidentified flying object

$\underline{\phantom{\text{The horse.}}}$ 1. Public Broadcasting System

In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a public restroom, and 70% of the respondents said "always."

a. Identify the sample and the population.

The sentiments Morgan expressed in the excerpt are best understood as resulting from a. court decisions expanding individual rights. b. the rise of a youth counterculture. c. the mass media. d. declining public trust in the government.

The file CEO-Compensation includes the total compensation (in $millions) for CEOs of 170 large public companies and the investment return in 2012.

Write a short summary of your findings in (a) and (b). Do the results surprise you?

Write the following method that tests whether a two-dimensional array has four consecutive numbers of the same value, either horizontally, vertically, or diagonally:

Public static boolean isConsecutiveFour(int[][] values)

Based on your answers to 1 and 2, develop a marketing strategy for United to "recover" from its service failure. Specifically, address the following:

What "message" should United be sending to the general public?

The market for a particular chemical, called Negext, is described by the following equations.

Demand is given by:

$$Q^{\mathrm{D}}=100-5 P$$

Supply is given by:

$$Q^S=5 P$$

where Q is measured as units of Negext and P is price in dollars per unit.

Suppose that the government restricts emissions to 100 units of pollution. Graph the Negext market under this constraint. Find the new equilibrium price and quantity and show them on your graph. Compute how this policy affects consumer surplus, producer surplus, and the cost of pollution. Would you recommend this policy? Why?

The U.S. public debt (the outstanding amount owed by the federal government of the United States from the issue of securities by the U.S. Treasury and other federal government agencies) for the years 2005 through 2011 is modeled by the function $f(t)=-0.03817 t^{3}+0.4571 t^{2}-0.1976 t+8.246$ $(0 \leq t \leq 7)$, where f(t) is measured in trillions of dollars and is measured in years, with t = 0 corresponding to 2005. What was the U.S. public debt in 2005? In 2008?

The stated intent of the 1994 "don't ask, don't tell" policy was to reduce the number of discharges of gay men and lesbians from the military. Nearly 14,000 active-duty gay servicemembers were dismissed under the policy, which officially ended in 2011, after 18 years. The line graph shows the number of discharges under "don't ask, don't tell" from 1994 through 2010.

Find the average rate of change, rounded to the nearest whole number, from 1994 through 1998. Describe what this means.

Sagan became famous for helping the general public understand scientific concepts. How well does he explain the complex issues involved with nuclear weapons? Cite evidence to support your opinion.

A donor wants to establish a fund that will pay the Marlin Public Library $10,000 per year for 20 years. If the fund earns 5% interest compounded annually, how much should be put into the fund?

In a survey of 1020 adul ts in the United States, 44% said that they wash their hands after riding public transportation (based on data from KRC Research). Are the numbers of subjects in such surveys discrete or continuous?

$$\begin{array}{c} \small \textbf{ANNUAL PREMIUMS PER \$1000}\\ \small \textbf{OF LIFE INSURANCE: 5-YR. TERM}\\ \end{array}$$

$$\begin{array}{c c c} \small\textbf{AGE} & \small\textbf{MALE} &\small \textbf{FEMALE}\\ 18 & \$~~2.64 & \$~~1.85\\ 20 & ~~~~2.70 &~~~~ 1.91\\ 25 & ~~~~3.01 & ~~~~2.05\\ 30 & ~~~~3.20 & ~~~~2.26\\ 35 & ~~~~3.83 & ~~~~2.99 \\ 45 & ~~~~8.86 & ~~~~6.36\\ 50 & ~~~14.10 & ~~~~9.26\\ 55 & ~~~23.45 &~~ 13.87 \end{array}$$

Use the table above to find the annual premium for a 5-year term policy.

Sam and Kolleen Hastings have 2 children. Sam was 30 years old when he first purchased an $85,000, 5-year term life insurance policy. He will be 35 years old this year and his insurance agent has informed him that his policy comes up for renewal. What will be his annual premium if he renews his policy? What total amount did he pay during the previous 5-year term? What total amount will he pay for the next 5-year term?