Aresearcher wishes to conduct a study of the color preferences of new car buyers. suppose that 40% of this population prefers the color brown. if 18 buyers are randomly selected, what is the probability that exactly a third of the buyers would prefer brown? round your answer to four decimal places.

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.

If on=8x-8,lm=7x+4,nm=x-5,and ol=3y-6

Which statement is true about the local minimum of the graphed function? over the interval[-4,-2], the local minimum is 0. over the interval [-2,-1] , the local minimum is 25. over the interval [-1,4], the local minimum is 0. over the interval [4,7], the local minimum is -7