Factor rainbow: you can use a factor rainbow whether a list of factors is correct. to create a factor rainbow, list the factors of a number in order from least to greatest. then draw arches that link the factor pairs. for perfect squares, there is no connecting arch in the middle. so, just circle the middle number. a factor for 12 is shown. create factor rainbows for 6, 24, 36 and 48.

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.

Sophia wrote an equation to represent the revenue of a movie theater for one day. she let x represent the number of child tickets sold and y represents the nunver of adult tickets sold. if a child ticket cost $4, an adult ticket cost $6, and the total revenue for the daybwas $420, which equation could sophia use to represent the number of chikd and adult tickets that were sold?

Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)