The height of a baseball h(t)at time t, where t > 0 and where the ball is struck initially at 4 feet above the ground, is modeled by the equation y=h(t)=-16t² +64t + 4 Show or explain how arrived at your solution you

a. After how many seconds is the ball at maximum height?

b. What is the maximum height of the ball?

c. After how many seconds is the ball at a height of exactly 52 feet?

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?

Aparticular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?

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.)