Suppose that the profit obtained from the sale of x fish-fry dinners is given by () = −0.03 2 + 8 − 50. Use the marginal profit function to estimate the profit from the sale of the 101st fish-fry dinner.

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

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.

Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt. she has two large bottles of salt water: one with 40% and the other with 70% of salt in them. how much of each must she use to make the solution she needs? i am in need of