Use the proportional reasoning to make a prediction. Of 200 radio-controlled cars that were manufactured by one company, 3 were defective. The company manufactures 1000 cars each day. About how many defective cars would you predict are produced each day?

Answer each question. Use the frequency table to write and solve a proportion.

$$\begin{matrix} \text{Question:} & \text{How many hours do you use a computer each week?}\\ \text{Less than 5 hours} & \text{2}\\ \text{5-10 hours} & \text{11}\\ \text{More than 10 hours} & \text{7}\\ \end{matrix}$$

Of 360 seventh graders, predict how many use a computer 10 hours or less each week.

A biased question favors a particular outcome. Select the survey question that is least biased. A math teacher who wants to start an after school club should ask, A. Are you interested in a fun way to improve your math skills? B. Are you interested in joining an after school math club?

A biased question favors a particular outcome. Select the survey question that is least biased. To find what people think about a mall being built, A. Would you mind the increased traffic a mall would bring to your neighborhood? B. Would a mall be a good addition to your neighborhood?

$2400 is invested at 4.5% compounded quarterly. Find the amount at the end of 2.5 years.

Simplify. Assume that all variables are positive. ∛125y²z4

A bowling ball is initially at rest. A Ping-Pong ball moving in the +z direction hits the bowling ball and bounces off it, traveling back in the -z direction. Consider a time interval $\Delta t$ extending from slightly before to slightly after the collision. In this time interval, what is the sign of $\Delta p_{z}$ for the system consisting of both balls?

A representative sample has characteristics similar to the entire population. Choose the sample most likely to be representative of the population. If a biologist wants to study deer in a state park, A. she should tag every tenth deer she sees. B. she should tag the first 10 deer she sees.

Use the familiar formula from geometry to find the area of the region described and then confirm by using the definite integral. $r = \sin \theta + \cos \theta$ on the interval $0 \leq \theta \leq \pi$

A fortnight is a charming English measure of time equal to 2.0 weeks (the word is a contraction of "fourteen nights"). That is a nice amount of time in pleasant company but perhaps a painful string of microseconds in unpleasant company. How many microseconds are in a fortnight?

Which of the following samples will be most representative of an entire student population? (a) surveying every fifth seventh-grader who enters the library (b) surveying every fifth student who enters the library (c) surveying every fifth student who enters the school (d) surveying every fifth girl who enters the school

A cost function relates the total cost (C) of production to the number of items (x) produced per day. Acme Industries has a cost function $C_{1}=300 x+500$, while Amalgamated Widgets' cost function is $C_{2}=420 x+250$. Using these facts, find a counterexample to this conjecture. For any value of x, Acme Industries has lower costs than Amalgamated Widgets.

The assets and liabilities of Post Fir as of December 31, 2012, and revenues and expenses for the year ended on that date follow.

$$\begin{matrix} \text{Land.................................... } & \text{\$ 8,200 } & \text{Equipment.......................... } & \text{\$ 35,000 }\\ \text{Note payable...................... } & \text{31,000 } & \text{Interest expense.................. } & \text{4,650}\\ \text{Property tax expense...........} & \text{2,400 } & \text{Interest payable.................. } & \text{1,000 }\\ \text{Rent expense....................... } & \text{13,000 } & \text{Accounts payable............... } & \text{9,000 }\\ \text{Accounts receivable.............} & \text{26,500 } & \text{Salary expense.................... } & \text{34,000 }\\ \text{Service revenue.................... } & \text{143,000 } & \text{Building.............................. } & \text{125,000 }\\ \text{Supplies...............................} & \text{1,900 } & \text{Cash................................... } & \text{14,000 }\\ \text{Utilities expense.................. } & \text{2,700} & \text{Common stock................... } & \text{5,350}\\ \end{matrix}$$

Beginning retained earnings was $114,000, and dividends totaled$36,000 for the year. Prepare the income statement of Post Fir, Inc., for the year ended December 31, 2012. Prepare the company’s statement of retained earnings for the year. Prepare the company’s balance sheet at December 31, 2012. Analyze Post Fir, Inc., by answering these questions: a. Was Post Fir profitable during 2012? By how much? b. Did retained earnings increase or decrease? By how much? c. Which is greater, total liabilities or total equity? Who owns more of Post Fir’s assets, creditors of the company or Post Fir’s stockholders?

In a household hot-water heating system, water is delivered to the radiators at $70.0^{\circ} \mathrm{C}\left(158.0^{\circ} \mathrm{F}\right)$ and leaves at $28.0^{\circ} C\left(82.4^{\circ} \mathrm{F}\right)$. The system is to be replaced by a steam system in which steam at atmospheric pressure condenses in the radiators and the condensed steam leaves the radiators at $35.0^{\circ} C\left(95.0^{\circ} \mathrm{F}\right)$. How many kilograms of steam will supply the same heat as was supplied by 1.00 kg of hot water in the first system?