At 10 am the shadow of a post on a pergola is 12 feet long. at the same time the shadow of jimmy, who is 6 feet tall, is 7 feet long. what is the approximate height of the post?

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.

Select the point that is a solution to the system of inequalities. y< =-x+3 y=x^(2)-3x

Solve the system of equations. x=-2y+1 and x+2y=9. show work