Use an equivalent rate to convert 24 centiliters to liters.

For

$$\mathbf{p}=\left( \begin{array}{l}{1} \\ {5}\end{array}\right), \quad \mathbf{q}=\left( \begin{array}{c}{-2} \\ {4}\end{array}\right) \quad \text { and } \quad \mathbf{r}=\left( \begin{array}{c}{-3} \\ {-1}\end{array}\right)$$

find: a. -3p b. $\frac{1}{2} \mathbf{q}$ c. 2p + q d. p – 2q e. $\mathbf{p}-\frac{1}{2} \mathbf{r}$ f. 2p + 3r g. 2q – 3r h. $2 \mathbf{p}-\mathbf{q}+\frac{1}{3} \mathbf{r}$

Calculate. $\int_{0}^{1/2}{{\cos}\pi x{\cos}\dfrac{1}{2}\pi x}dx$

A car is traveling 25 miles per hour. What is the car's speed in feet per second? Use the conversion factors $\frac{5,280 \text { teet }}{1 \text { mile }}$ and $\frac{1 \text { hour }}{3.600 \text { seconds }}$

Use synthetic substitution to evaluate the polynomial for the given value.

$$P ( x ) = 3 x ^ { 3 } + 5 x ^ { 2 } + 4 x + 2 \text { for } x = \frac { 1 } { 3 }$$

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20. Find the score that is 1 standard deviation below the mean.

Write the inverse, converse, and contrapositive of the statement “If I turn my paper in late, then I will be penalized.”

Chirs Decides to buy 102 feet of the Craft Center material. What is the cost?

Can the functions be differentiated using the rules? Differentiate if you can; otherwise, indicate why the rules do not apply. $y=e^{5 x}$

Major League Baseball tests players to see whether they are using performance-enhancing drugs. Officials select a team at random, and a drug-testing crew shows up unannounced to test all 40 players on the team. Each testing day can be considered a study of drug use in Major League Baseball. Is that choice appropriate?

Predict whether each of the following compounds is molecular or ionic:

$$CH_3OH$$

Determine whether or not the function is a power function.If it is a power function, write it in the form $y=kx^p$ and give the values of $k$ and $p$.

$$y=\frac{3}{x^2}$$

Gina works in a clothing store. At noon, she has $125 in the cash register. James gives her$60 for a sweater, and she gives him $7 change. Hana then gives her$40 for a blouse and receives $3 change. Use a series of addition equations to find out how much money Gina has in her cash register at the end of these sales.

The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight had 76 passengers - 12 in first class and 64 in coach class. TSA officers selected an SRS of 10 passengers for screening. Let

$$\hat{p}$$

be the proportion of first-class passengers in the sample. Is the Large Counts condition met in this case? Justify your answer.