Two swimmers jump from12 foot diving boards. On the graph below, Swimmer 1’s distance from the water is modeled by the function ()and swimmer 2’sdistance from the water is modeled by the function (), where represents time, in seconds.

Plot the points (0,6), (3,15.8), and (9.5,0) using the graphing tool, and find the function

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.

The sum of 5consecutive even numbers is 100. what is the first number in this sequence?