1. A rectangular piece of cardboard that has dimensions 20 cm x 10 cm will be formed into an open top cardboard box. The corners of the piece of
cardboard in the shape of a square will be removed. If the desired volume of the
cardboard box is to be 144 cm. what will be the dimensions of the cardboard box?

This figure consists of a rectangle and semicircle. what is the perimeter of this figure use 3.14 for pi 60.84m 72.84m 79.68m 98.52m

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.

Use a standard normal table to determine the probability. give your answer as a decimal to four decimal places. −1.5< < 1.5)