Marcie wants to enclose her yard with a fence ‘her yard is in the shape of a rectangle attached to a triangle. the formula for the area of the enclosed space is A= lw +0.5bh.

F(x)=|x| is shifted down 4 units and to the right 3 units.

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

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.