Employers are increasingly turning to GPS (global positioning system) technology to keep track of their fleet vehicles. In a study conducted in the early 2000s, it was found that the estimated number of automatic vehicle trackers installed on fleet vehicles in the United States is: () = 0.6 0.17 , 0 ≤ ≤ 5 where () is measured in millions and is measured in years, with = 0 corresponding to the year 2000. (a) What was the number of automatic vehicle trackers installed in the year 2000? [2] (b) In what year would approximately 1,400,000 automatic vehicle trackers be installed on fleet vehicles?

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.

Julie goes to the sports store and spends $40.50 before tax. she buys a pair of shorts for $21.75 and 3 pairs of socks that each cost the same amount. how much does each pair of socks cost? $$

Acentral angle measuring 160 degrees intercepts an arc in a circle whose radius is 4. what is the length of the arc the circle formed by this central angle? round the length of the arc to the nearest hundredth of a unit. a) 4.19 units b) 6.28 units c) 12.57 units d) 12.57 square units