In iowa, the format for license plates is 2 numbers followed by 4 letters. however the letters i, o, w, a are not allowed and also the use of repeats is not allowed either. how would you set up this problem to find the number of license plates? 10 x 10 x 22 x 21 x 20 x 19 10 x 10 x 26 x 26 x 26 x 26 10 x 10 x 22 x 22 x 22 x 22 10 x 9 x 22 x 21 x 20 x 19

The weight of full–grown tomatoes at a farm is modeled by a normal distribution with a standard deviation of 18.4 grams. the 95 percent confidence interval for the mean weight of the tomatoes is calculated using a sample of 100 tomatoes. what is the margin of error (half the width of the confidence interval)?

Part a: sam rented a boat at $225 for 2 days. if he rents the same boat for 5 days, he has to pay a total rent of $480. write an equation in the standard form to represent the total rent (y) that sam has to pay for renting the boat for x days. (4 points)

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.