A penny arcade was counting coins at the close of a business day. There were a total of 327 coins, comprised of a mixture of nickels (5 cents each) and dimes (10 cents each). At the close of business there was a total of $31.40. Determine how many of each coin there was?

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.