The height of a pop fly ball over the time after the ball is hit is modeled by the function, h(t) = -16t2 + 81t + 5, where h(t) is the ball’s height in feet above the ground and t is the time in seconds after the ball is hit. How many feet high was the ball when it was hit?

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)