An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. if all of the available 3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? assume that each sphere is filled to the top.

3 inches
4 inches
6 inches
8 inches
9 inches

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

Witch represents the inverse of the function f(x)=1/4x-12

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)