The United States Capitol Rotunda is a circular room located in the Capitol Building in Washington, D.C. The radius of the room is 48 feet. What is its circumference?

The General Social Survey asks questions about one's happiness in marriage. Is there an association between gender and happiness in marriage? Use the data in the table to determine if gender is associated with happiness in marriage. Treat gender as the explanatory variable.

$$\begin{matrix} \text{ } & \text{Male} & \text{Female} & \text{Total}\\ \text{Very happy} & \text{7690} & \text{7942} & \text{15551}\\ \text{Pretty happy} & \text{3738} & \text{4447} & \text{8185}\\ \text{Not too happy} & \text{259} & \text{460} & \text{719}\\ \text{Total} & \text{11606} & \text{12849} & \text{24455}\\ \end{matrix}$$

Use the following information to answer.

An upscale department offers its customers free gift wrapping on any day that they spend at least $\$ 100$. The store offers 5 box sizes (XS, S, M, L, XL), 6 wrapping themes (birthday, wedding, baby girl, baby boy, anniversary, and all-occasion), and 3 styles of bow (classic, modern, and jazzy).

What is the probability that any wrapped package will be in a large box?

Write the

$$\mathbf { a }.$$

converse,

$$\mathbf { b }.$$

inverse, and

$$\mathbf { c }.$$

contrapositive of the given statement. If you are the president of the United States, then your age is at least 35.

A clothoid loop of a roller coaster is $40.0 \mathrm{~m}$ high with a radius of curvature of $10.0 \mathrm{~m}$ at the top. Assume that a cart rolls around the inside of the loop with nothing holding it onto the track. (a) What is the minimum speed of the cart at the top of the clothoid loop? (b) What is the minimum speed of the cart on a circular loop of the same height? (c) Explain why modern roller coasters often have clothoid loops instead of circular loops.

The United States has a land area of about

$$3,536,278\ mi^2.$$

Illinois has a land area of about

$$57,918\ mi^2.$$

What is the probability that a location in the United States chosen at random is not in Illinois? Give your answer to the nearest tenth of a percent. How can you solve this problem using the complement of an event? How do you write a fraction as a percent?

Design a brochure that explains information about each biological molecule discussed in this chapter.

Design an experiment to measure the speed of a toy train going around a circular track.

How do you think a mobilization effort such as the one that occurred in the early 1940s would affect the United States today? Explain your answer.

During the $1990$s, General Electric put together a long string of consecutive quarters in which the firm managed to meet or beat the earnings forecasts of Wall Street stock analysts. Some skeptics wondered if GE “managed" earnings to meet Wall Street's expectations, meaning that GE used accounting gimmicks to conceal the true volatility in its business. How do you think GE's long run of meeting or beating earnings forecasts affected its cost of capital? If investors learn that GE's performance was achieved largely through accounting gimmicks, how do you think they would respond?

According to the Federal Bureau of Investigation, there is a violent crime in the United States every 22 seconds ( $A B C$ News, September 25, 2007). Assume that the time between successive violent crimes is exponentially distributed.

a. What is the probability that there is a violent crime in the United States in the next one minute?

b. If there has not been a violent crime in the previous minute, what is the probability that there will be a violent crime in the subsequent minute?

A design change is required in the valve interface circuit of the temperature-control system shown . The new design will have a valve interface input resistance of $10 \mathrm{k} \Omega$. Determine the effect this change has on the temperature-to-voltage conversion circuit.

The below statement corresponds to a numbered sentence in the passage. It contains a blank and is followed by four answer choices. Decide which choice fits best in the blank. The word or phrase that you choose must express roughly the same meaning as the italicized word in the passage. Write the letter of your choice on the answer line.

The $\underline{?}$ standards of modern works can be difficult to understand. ______________ (aesthetic)

a. high b. declining c. artistic d. commercial

Visit the website of the SEC (https://www.sec.gov/edgar/searchedgar/companysearch.html). Search for the latest Form 10-K for a company you would like to analyze. Submit a short memo that

C. State the changes identified in (A), (B), and (C) in accounting equation format. If the “change” equation does not balance, explain why not. Hint: Double-check your calculations, and if the accounting equation change still does not balance, search for notes in the company’s files about prior period adjustments, which will often explain why balances may differ.

i. Provide the web link to the company’s Form 10-K to allow accurate verification of your answers.