Assume that a fair die is rolled. The sample space is $\{1,2,3,4,5,6\}$, and all the outcomes are equally likely.

Find $P(7)$.

Decide which vocabulary word or related form best expresses the meaning of the italicized word or phrase in the sentence. On the answer line, write the letter of the correct choice.

Newspaper reporters tend to overuse associated features that name something, as, for example, when they write about citizen groups that demand action from City Hall or the White House. _______________

a. anonymity b. metonymy c. denomination d. misnomer

Tap a metal spoon inside a mug of water and note the frequency

$$f_i$$

you hear. Then add a spoonful of powder (say, chocolate mix or instant coffee) and tap again as you stir the powder. The frequency you hear has a lower value

$$f_s$$

because the tiny air bubbles released by the powder change the water’s bulk modulus. As the bubbles reach the water surface and disappear, the frequency gradually shifts back to its initial value. During the effect, the bubbles don’t appreciably change the water’s density or volume or the sound’s wavelength.

Let $P(x, y)$ be an arbitrary point on the line $y=mx$. Express as a function of $x$ the distance from $P$ to the origin and calculate the average of this distance as $x$ ranges from $0$ to $1$.

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. Will attributed his fast recovery to the influx of...

If a wind is blowing, will this alter the frequency of the sound heard by a person at rest with respect to the source? Is the wavelength or velocity changed?

What role does a menu play in a program?

When aqueous A and aqueous B $\left(C_{\mathrm{A} 0}=C_{\mathrm{B} 0}\right)$ are brought together they react in two possible ways:

$$\begin{matrix} \quad& \quad & \text{R + T}, & r_{\mathrm{R}}=50 C_{\mathrm{A}} \frac{\mathrm{mol}}{\mathrm{m}^{3} \cdot \mathrm{hr}}\\ \quad & \nearrow\\ \text{A + B }\\ \quad & \searrow\\ \quad &\quad & \text{S + U}, & r_{\mathrm{S}}=100 C_{\mathrm{B}} \frac{\mathrm{mol}}{\mathrm{m}^{3} \cdot \mathrm{hr}}\\ \end{matrix}$$

to give a mixture whose concentration of active components (A, B, R, S, T, U) is $C_{\text {total }}=C_{\mathrm{A} 0}+C_{\mathrm{B} 0}=60 \mathrm{mol} / \mathrm{m}^{3} .$ Find the size of reactor needed and the R/S ratio produced for 90% conversion of an equimolar feed of $F_{\mathrm{A} 0}=F_{\mathrm{B} 0}=300 \mathrm{mol} / \mathrm{hr}:$ in a mixed flow reactor;

Choose the letter of the best revision for each underlined section.

Many think of Stephen King as a writer of horror fiction and expects (1) his films to be typical horror films. Rob Reiner has directed two films based on King's books and have said (2) that King's fiction is intelligent and realistic. King's story "The Body," about four young boys, is the basis of Reiner's film Stand by Me. The group look for a dead body and confront (3) a gang of thugs. There is (4) scary moments and fighting in the film, but no gory horror-movie effects. Misery, King's novel about a writer and a fan, have also been made into a scary movie that has become (5) popular. Neither Stand by Me nor Misery is a typical horror film.

A. has directed two films based on King's books and has said

B. have directed two films based on King's books and have said

C. have directed two films based on King's books and has said

D. Correct as is

Fill in each blank with the appropriate word or phrase.

A $\_\_\_\_\_\_\_\_\_\_\_\_\_$ plot can be used to determine whether a multiple regression equation is appropriate.

A tap issuing water at a rate of 1.2 litres per minute fills a container in 4 minutes.

a How long would it take to fill the same container if the rate was decreased to 1 litre per minute? Give your answer in minutes and seconds.

b If the container is to be filled in 3 minutes, calculate the rate at which the water should flow.

Write down the conversion factor needed to convert

mi to $\mathrm{km}$

Is the bottled water you’re drinking really purified water? A study of various brands of bottled water conducted by the Natural Resources Defense Council found that 25% of bottled water is just tap water packaged in a bottle ( Scientific American , July 2003). Consider a sample of five bottled-water brands, and let x equal the number of these brands that use tap water. a. Explain why x is (approximately) a binomial random variable. b. Give the probability distribution for x as a formula.

$$\begin{array} { l } { \text { c. Find } P ( x = 2 ) } \\ { \text { d. Find } P ( x \leq 1 ) } \end{array}$$

Three capacitors, with capacitances of $C _ { 1 } = 2.0 \mu \mathrm { F }, C _ { 2 } = 3.0 \mu \mathrm { F } , \text { and } C _ { 3 } = 6.0 \mu \mathrm { F }$, respectively, are connected in parallel. A 500-V potential difference is applied across the combination. Determine the voltage across each capacitor and the charge on each capacitor.