A clock has a radius of 6.2 inches. The minute hand is 5.9 inches long, and the hour hand is 5.5 inches long. a. How much longer is the circumference of the clock than the circumference of the path of the tip of the minute hand? Round to the nearest hundredth.

b. How much longer is the circumference of the path of the tip of the minute hand than the circumference of the path of the tip of the hour hand? Round to the nearest hundredth.

Carmen begins her next painting on a rectangular canvas that is 82.7 cm long and has a area of 8,137.68 cm2. will the painting fit in a frame with an opening that is 82.7 cm long and 95 cm wide? explain

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.

(60 points) explain this in detail