A ball is thrown from a height of 5 feet with an initial velocity of 32 feet per second. The height H (in feet) after T seconds is represented by the function h = -16t^2 + 32t + 5. Find the maximum height of the ball.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.