A state university annual report showed that its retention rate was at 24% and university administrators would like to increase this rate. After implementing several new programs during the last two years, the university reevaluated its retention rate. What is the correct alternative hypotheses for a test to determine whether the retention rate has increased during the last two years

Describe all the numbers that when rounded to the nearest thousand are 645,000

1. are the triangles similar and if so why? what is the value of x? show your work.

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?