Choose 16 distinct integers between 1 and 30. prove that at least two of these differ by 3. is this also true if we choose 15 distinct integers? justify your answer.

80 points suppose marcy made 45 posts online. if 23 of them contained an image, what percent of her posts had images? round your answer to the nearest whole percent. 54 percent 51 percent 49 percent 48 percent

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 12611261 chips and a standard deviation of 118118 chips. (a) determine the 2626th percentile for the number of chocolate chips in a bag. (b) determine the number of chocolate chips in a bag that make up the middle 9696% of bags. (c) what is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?

Given the lease terms below, what monthly lease payment can you expect on this vehicle? terms: •length of lease: 60 months •msrp of the car: $28,500 •purchase value of the car after lease: $12,900 •down payment: $1900 •lease factor: 0.0005 •security deposit: $375 •aquisition fee: $300 a.$232.50 b.$279.99 c.$227.50 d.$248.08