The sum of the volumes of two rectangular prisms, box a and box b, are 14.325 cm³. box a has a volume of 5.61 cm³.
a. let b represent the volume of box b in cubic centimeters. write an equation that could be used to determine the volume of box b.
b. solve the equation to determine the volume of box b.
c. if the area of the base of box b is 1.5 cm², write an equation that could be used to determine the height of box b. let h represent the height of box b in centimeters.
d. solve the equation to determine the height of box b.

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.