In a poll, gymnasts were asked, "How many seconds long was your longest handstand on the balance beam?" Use the results below. Find P(6 - 30 seconds).

$$\begin{matrix} \text{Duration (seconds)} & \text{0-2} & \text{3-5} & \text{6-10} & \text{11-20} & \text{21-30} & \text{31-60} & \text{>60} & \text{Total}\\ \text{Number of Respondents} & \text{14} & \text{27} & \text{19} & \text{18} & \text{13} & \text{15} & \text{24} & \text{130}\\ \end{matrix}$$

Read the two italicized sentences. Using these sentences, write at least one example of the word, phrase, or clause described. $\mathit{Our \ general \ policy \ is \ to \ give \ the \ customer \ whatever \ she \ wants}$. $\mathit{Thinking \ of \ something \ special \ that \ I \ can \ do \ for \ each \ of \ my}$ $\mathit{friends \ has \ been \ fun, \ but \ it \ has \ taken \ a \ lot \ of \ my \ time}$. noun

Show that if a, b, and c are positive integers, then [a, b, c](ab, ac, bc)= abc.

Do you think this essay’s primary purpose is to inform or to persuade? Explain.

Describe the sequence of transformations from $f(x)=x^{2}$ to g. Then sketch the graph of g by hand. Verify with a graphing utility. $g(x)=(x-4)^{2}+2$

Place a check next to each sentence in which the subject and verb agree. _____ It is a cross between a cow and the American bison.

Prove that if f is odd, then $f^{\prime}(x)=f^{\prime}(-x)$. Once again, draw a picture.

How far is it from Athens to Yukon?

(a) If $a_{1}<\cdots<a_{n}$, find the minimum value of $f(x)=\sum_{i=1}^{n}\left(x-a_{i}\right)^{2}$. (b) Now find the minimum value of $f(x)=\sum_{i=1}^{n}\left|x-a_{i}\right|$. This is a problem where calculus won't help at all: on the intervals between the $a_{i} \text { 's }$ the function f is linear, so that the minimum clearly occurs at one of the $a_{i}$, and these are precisely the points where f is not differentiable. However, the answer is easy to find if you consider how f(x) changes as you pass from one such interval to another.

How many base b automorphs are there with n or fewer base b digits if b has prime-power factorization $b=p_{1}^{b_{1}} p_{2}^{b_{2}} \cdots p_{k}^{b_{k}} ?$

Read the two italicized sentences. Using these sentences, write at least one example of the word, phrase, or clause described. $\mathit{Our \ general \ policy \ is \ to \ give \ the \ customer \ whatever \ she \ wants}$. $\mathit{Thinking \ of \ something \ special \ that \ I \ can \ do \ for \ each \ of \ my}$ $\mathit{friends \ has \ been \ fun, \ but \ it \ has \ taken \ a \ lot \ of \ my \ time}$. indefinite article

Go to the Internet and connect to the NSPE website (www.nspe.org/ethics). Read the history of the Code of Ethics and briefly discuss your reading.

Write an equation of a circle with the given center and radius. center (3,7), radius 6.5

A particle moves in two dimensions under the potential energy function $V(x, y)=k\left(x^{2}+y^{2}-2 b x-4 b y\right)$ where k is a positive constant. Show that there is one position of equilibrium. Is it stable or unstable?