To qualify as a contestant in a race, a runner has to be in the fastest 16% of all applicants. the running times are normally distributed, with a mean of 64 min and a standard deviation of 5 min. to the nearest minute, what is the qualifying time for the race?

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

Jermaine has t subway tokens. karen has 4 more subway tokens than jermaine. raul has 5 fewer subway tokens than jermaine. which expression represents the ratio of karen's tokens to raul's tokens