Write a word problem that could be solved by writing and solving a multistep equation. then solve your problem.

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.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

You are shooting hoops after school and make 152 out of a total of 200. what percent of shots did you make? what percent did you miss? show proportion(s).