Suppose h(t) = -4t2 + 11t + 3 is the height of a diver above the water (in meters), t seconds after the diver leaves the springboard. a. How high above the water is the springboard? Show your work.

b. When does the diver hit the water? Show your work.

c. At what time on the diver's descent toward the water is the diver again at the same height as the springboard? Show your work.

d. When does the diver reach the peak of the dive? Show your work.

Amanda went into the grocery business starting with five stores. after one year, she opened two more stores. after two years, she opened two more stores than the previous year. if amanda expands her grocery business following the same pattern, which of the following graphs represents the number of stores she will own over time?

If f(x)=x+7 and g(x)=1/x what is (fog)(x)

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)