The owner of a video store has determined that the profits "P" of the store are approximately given by P(x)=-x^(2)+90x+52, where x is the number of videos rented daily. Find the number of videos that must be rented to get the maximum daily profit, then find the maximum daily profit to the nearest dollar.

Which of the following of the following sets of side lengths could not form a triangle?

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.

The moats separating people from the animals are 5 m wide for lions and 4 m wide for the elephants. if the lion’s moat is 4 m deep, how deep should the elephants’ moat be?