Sarah and emmaree put on just dance. after school. when they started , it was 4: 45pm and they danced until 5: 30pm how many degrees does the minute hand turn by the time they stop dancing?

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.