Rosa is making a poster that has a rainbow as part of the design. Using a compass she draws a semicircle with a radius of 18 cm. She draws another semicircle that has a radius of 12 cm as shown. What is the area of the shaded part of the rainbow?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.