Jackie scored 82 and 88 on her first two quizzes. write and solve a compound inequality to find possible values for a third quiz score that would give her an average between 80 and 85, inclusive.

a. 80 < = 82 + 88 + n / 3 < = 85; 70 < = n < = 85

b. 70 < = 82 + 88 + n / 3 < = 85; 80 < = n < = 85

c. 80 < = 82 + 88 + n / 3 < 85; 70 < n < 85

d. 82 < = 80 + 85 + n / 3 < = 88; 70 < = n < = 85

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.

What is the product? a-3/15a × 5/a-3

The length of an intercepted arc of a central angle of a circle is 4 cm. if the radius of the circle is 5 cm what is the measurement of the central angle to the nearest whole degree