Michael and Brian are saving money for a new computer. The amount of money Michael has saved can be represented by equation:
m(x)=x^2+108

The amount of money Brian has saved can be represented by the equation:
b(x)=4x+140

a. After how many weeks, x, will both Michael and Brian have the same amount of money saved?

b. How much money will they both have?

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.