A contractor is constructing a table. The contractor knows that the diagonal of the table top is 54 in, the width of the table is 50 in, and the diagonal between the legs is 25 in. How long should the contractor make the legs?

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.