A cylinder and sphere have the same height. 1. If the sphere has a volume of 361 cubic units, what is the height of the cylinder?
2. What is a possible volume for the cylinder? Be prepared to explain your reasoning.

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

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.