An urn contains four green and three blue balls. You take one ball out of the urn, note its color, and replace it. You then take a second ball out of the urn, note its color, and replace it. If A denotes the event that the first ball is green and B denotes the event that the second ball is green, determine whether A and B are independent.

Data collected on investments in Broadway shows the number of investors, total invested, name of the show, and profit/loss after one year.

When you organize data in a spreadsheet, it is necessary to lay it out as a data table. Demonstrate how you would lay out this data. Indicate the headings of columns and what would be found in each row.

Imagine that you are out of school and have started working and saving. You want to keep from using credit cards or unnecessary loans as much as possible, so you make savings plans for major purchases and expenses.

Why is saving up for major purchases and expenses better than using credit cards or taking out loans?

Read each sentence and decide if the underlined number should be spelled out. If it should, write the spelled-out form above it. If the number is already correct, write $C$ above it.

Example 1. $\underline{152}$ (One hundred fifty-two) students auditioned for the marching band.

Mai needs to be at the auditorium by $\underline{6:00}$ P.M. for rehearsal.

Design an RC high-pass filter that passes a signal with frequency $5.00 \mathrm{kHz}$, has a ratio $V_{\text {out }} / V_{\text {in }}=0.500$, and has an impedance of $1.00 \mathrm{k} \Omega$ at very high frequencies. b) What is the phase of $V_{\text {out }}$ relative to $V_{\text {in }}$ at the frequency of $5.00 \mathrm{kHz}$ ?

Carry out the differentiation.
$\displaystyle \frac{d}{dx}\left( \int_0^{x^2} \frac{dt}{1+t^2}\right)$.

In paragraphs 24-27, the second woman rips the embroidered man completely out of her embroidery because -

A. she did not want the other women to be jealous of her fine stitching B. she was angry and afraid C. she knew she could do better D. she was not paying attention and tore too much of the man out

Read each sentence and decide if the underlined number should be spelled out. If it should, write the spelled-out form above it. If the number is already correct, write $C$ above it.

Example 1. $\underline{152}$ (One hundred fifty-two) students auditioned for the marching band.

The temperature should not drop below $\underline{32}$ degrees tonight.

Find out if the sentence below is incomplete. Then, rewrite the sentence fragment as a complete sentence.

Hasten to the hotel---find it very much crowded.

Assume all variables are binomial. (Note: If values are not found in Previous Table . use the binomial formula.)
High School Dropouts Approximately $10.3\%$ of American high school students drop out of school before graduation. Choose $10$ students entering high school at random. Find the probability that
No more than $2$ drop out

A piston $/$ cylinder has $15\ \mathrm{ft}$ of liquid $70 \mathrm{~F}$ water on top of the piston $(m=0)$ with a cross-sectional area of $1\ \mathrm{ft}^2$. Air let in under the piston rises and pushes the water out over the top edge. Determine the work needed to push all the water out and plot the process in a $P-V$ diagram.

A television advertisement shows a lawyer in a bathing suit coming out of a lake. He says, "If you're in over your head because of bad debts, let us bail you out. We're the best firm in the state." Should there be any restrictions on ads like this? If so, what? Should there be other restrictions on ads? If so, what should they be?

The volume of water in a tank t min after it starts draining is $V(t)=350(20-t)^{2} \mathrm{L}$.

How fast is the water draining out after 5 min? after 15 min?

Carry out the differentiation.
$\displaystyle \frac{d}{dx}\left(\int_x^{x^2} \frac{dt}{1+t^2}\right)$.