Two bicyclists are racing down a straight road. at one point in time the bicyclists are right next to each other. at this moment, bicyclist a has a velocity of 17 miles/hr and an acceleration of 32 miles/hr^2 , and bicyclist b has a velocity of 20 miles/hr and an acceleration of 2 miles/hr^2 . which bicyclist do you expect to be in front 15 minutes (1/4 hour) later? explain your reasoning.

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

The diagram shows corresponding lengths in two similar figures. find the area of the smaller figure. a. 14.4 yd2 b. 24 yd2 c. 26.4 yd2 d. 28

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.