Evaluate the expression when x = 2.

$$6 x + 8$$

Sketch the asymptotes and the graph of each equation. $y=\frac{1}{x-3}+4$

You are examining a free-living animal that has a thin, solid body with two surfaces. Into what phylum is this organism classified? Explain.

Reconstruct the table using the two categorical variables "letter listed first (S or Q)" and "ordering of letter chosen (listed first or second).”

What is happening to the U.S. real exchange rate in each of the following situations? Explain. a. The U.S. nominal exchange rate is unchanged, but prices rise faster in the United States than abroad. b. The U.S. nominal exchange rate is unchanged, but prices rise faster abroad than in the United States. c. The U.S. nominal exchange rate declines, and prices are unchanged in the United States and abroad. d. The U.S. nominal exchange rate declines, and prices rise faster abroad than in the United States.

Find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).

$$16 x ^ { 2 } + 25 y ^ { 2 } - 64 x - 200 y + 64 = 0$$

If $g ( x ) = x ^ { 2 } – 5$ find the value(s) of x so that: a. g(x) = 20 b. g(x) = 6

Twenty sophomores are randomly selected from campus dormitories at a college, and 20 other sophomores are randomly selected from students who live off campus. The mean grade point averages of the two groups are compared. Does this comparison involve paired data or data from two independent samples?

A stick of length 1 is broken at a uniformly random point, yielding two pieces. Let $X$ and $Y$ be the lengths of the shorter and longer pieces, respectively, and let $R = X/Y$ be the ratio of the lengths $X$ and $Y$ . (a) Find the CDF and PDF of $R$. (b) Find the expected value of $R$ (if it exists). (c) Find the expected value of $1/R$ (if it exists).

Compute the products. Some of these may be undefined. Should be done two ways: by hand and by using technology where possible.

$$\left[\begin{array}{lll}{1} & {3} & {2}\end{array}\right]\left[\begin{array}{r}{1} \\ {-1}\end{array}\right]$$

Nancy’s password for her online banking program is made up of 6 letters. It does not matter whether the letters are uppercase or lowercase and any letter may be repeated. a. What is the probability of someone correctly guessing Nancy’s password? b. How many hours would it take for someone to try all the possible passwords if the person could guess one password each second?

An electronics company is changing its Internet ad from a banner ad to a pop-up ad. The cost of the banner ad in dollars is represented by C(n) = 0.30n + 5.00 where n is the average number of hits per hour. The cost of the pop-up ad will double the cost per hit. Write a new cost function D(n) for the ads.

An obstetrician wants to learn whether the amount of prenatal care and the wantedness of the pregnancy are associated. He randomly selects 939 women who had recently given birth and asks them to disclose whether their pregnancy was intended, unintended, or mistimed. In addition, they were to disclose when they started receiving prenatal care, if ever. The results of the survey are as follows:

$$\begin{matrix} \text{Months Pregnant before Prenatal Care Began}\\ \text{Wantedness of Pregnancy} & \text{Less Than 3 Months} & \text{3 to 5 Months} & \text{More Than 5 Months (or never)}\\ \text{Intended} & \text{593} & \text{26} & \text{33}\\ \text{Unintended} & \text{64} & \text{8} & \text{11}\\ \text{Mistimed} & \text{169} & \text{19} & \text{16}\\ \end{matrix}$$

Compute the expected values of each cell under the assumption of independence.

Evaluate the algebraic expression for the given value or values of the variables.

$$- x ^ { 2 } - 3 x y + 4 y ^ { 3 } ; \quad x = - 3 , y = - 1$$