According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form 1040 is 10.53 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample 36 taxpayers. a. In words, \( X= \) b. In words, c. \( X \). Would you be surprised if the 36 taxpayers finished their Form 1040 s in an average of more than 12 d. Wours? Explain why or why not in complete sentences. e. Would you be surprised if one taxpayer finished their Form 1040 in more than 12 hours? In a complete sentence, explain why.

\( 1<\begin{array}{l}\text { Let } g(x)=-x^{2}+6 x+1 . \text { Find and simplify } g(-4) \\ g(-4)=\square(\text { Simplify your answer.) }\end{array} \)

Find the domain of the function. (Enter \[ f(x)=\log _{2}(x+5) \]

Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line. \( 4(x+1)+2 \geq 3 x+12 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is B. The solution set is \( \varnothing \).

6. A shopper bought the following items at the farmer's market: a. 6 ears of corn for \( \$ 1.80 \). What was the cost per ear? b. 12 apples for \( \$ 2,88 \). What was the cost per apple? c. 5 tomatoes for \( \$ 3.10 \). What was the cost per tomato?

34. \( y=\frac{x}{\left(x^{2}+1\right)^{2}}, \quad y=x^{5}-x, \quad x \geqslant 0 \)