Acylindrical hot tub, with a diameter of 12 ft and height of 6 ft, is partially filled with 500 ft3 of water. (a) what is the volume of the hot tub? round your answer to the nearest tenth. use π = 3.14 (b) how many more cubic feet of water can the hot tub hold? round your answer to the nearest tenth. use π = 3.14

Vinay constructed this spinner based on the population of teachers at his school according to vinays model what is the probability that he will have a male history teacher two years in a row

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Find the maximum value of p= 4x + 5y subject to the following constraints :