Tim plans to spend 40 hours on exercise training to earn a private trainer license. he has saved $2,000 for training. tim would like to determine the most he can afford to pay per hour for training.

One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

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.