Mrs. Rush is looking at buying a new rug for her bathroom. She found a rectangular rug that is 3 feet long by 2 feet wide. Mrs. Rush needs to enlarge the dimensions of the rug by a scale factor of 1.5 for it to fit properly. What are the dimensions of the rug that Mrs. Rush needs? Please write your answer (fill in the blanks) as follows:

Length: feet
Width: feet

Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

The amount spent on food and drink by 20 customers is shown below what is the modal amount spent ?

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.