in a study of the effectiveness of arthroscopic knee surgery, researchers randomly assigned patients with knee pain into three groups: one group to receive arthroscopic debridement, one to receive arthroscopic lavage, and the third to receive simulated arthroscopic surgery in which the surgeon made small incisions without inserting instruments. all patients were then followed up by their surgeons to measure improvements in pain and functional ability

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?

What are the coordinates of the midpoint of ab? ,1/2) /2,-1) ,-3/2) /2,-2)

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers