Two trains leave stations 418 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

What are the domain and range of the functiony = 2(x - 3)2 + 4?

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.

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.