A football player kicks a ball with an initial velocity of 47 feet per second. The initial height of the ball is 4 feet. The function h(t)=-16t^2+47t+4 models the height (in feet) of the ball, when t is the time in seconds. What is the maximum height the ball reaches? Round to the nearest ½ foot.

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)