To make a specific hair dye, a hairstylist uses a ratio of 1 1/8 oz of red tone, 3/4 oz of a gray tone, and 5/8 oz of a brown tone to make 2 1/2 oz of the hair dye. If the stylist needs to make 20 oz of dye, how much of each dye color is needed?

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.

Carl's candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2. what is the standard deviation of the length of candy bars produced at carl's candies?

What is the value of x in this triangle? a. 53° b. 62° c. 65° d. 118°