Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $54. At another store she can borrow the tile saw for free if she buys tiles there for $1.49 per tile. How many tiles must she buy for the cost to be the same at both stores?

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.