Cards and chips are being created for a board game by a company. The number of cards produced is proportional to the number of chips that are produced. Over a short period of time the company produced 32 cards and 4 chips. What is the ratio of cards to chips produced? State in simplest form as a unit rate in cards per chip.

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.