Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee. (2 points)

A. 524.96 − 32.50 + x ≥ 500; x ≥ $7.54
B. 524.96 − 32.50 + x ≤ 500; x ≤ $7.54
C. 524.96 + 32.50 − x ≥ 500; x ≥ $57.46
D. 524.96 + 32.50 − x ≤ 500; x ≤ $57.46

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.