Renee is studying the effect of positive reinforcement for her psychology class. She gets 8 pigeons, whom are measured for number of correct responses on a memory test before and after reinforcement training. Using a two-tailed test and use the data below to determine whether or not there is a difference between the two measurement conditions. Before Reinforcement After Reinforcement 6 5 8 8 5 4 7 6 4 3 7 7 6 6 8 4 How do you interpret the results of the null hypothesis test

When a rectangle is dilated, how do the perimeter and area of the rectangle change?

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?

How can (square root of 25) ^2 be rewritten?