You have a fancy 2nd-floor room and need a new mattress. you need to bring your mattress in through the french doors on your balcony. your french doors of the dimensions of 72 inches by 80 inches. what is the largest mattress that can fit diagonally? round to the nearest tenth.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?