Rectangular ballroom is being carpeted. The room measures 32 feet by 24 feet. If the carpet costs $3.60 per square foot, then what is the cost of the carpet?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Credit card a offers an introductory apr of 3.4% for the first three months and standard apr of 15.7% thereafter,