A state university wants to increase its retention rate of 4% for graduating students from the previous year. After implementing several new programs during the last two years, the university reevaluated its retention rate. Identify the Type II error in this context. a The product of the university's sample size and sample proportion was less than 10. b The university stops all new programs, but in fact retention is on the rise and the programs help. c The university concludes that retention is on the rise since the retention rate can only increase. d The university sampled all students at the university e The university concludes that retention is on the rise, but in fact the new programs do not help retention.

How do you multiply a mixed fraction by a regular fraction

Jada has a monthly budget for her cell phone bill. last month she spent 120% of her budget, and the bill was 60$. what is jada’s monthly budget

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?