The number of degrees of freedom for the appropriate chi-square distribution in a test of independence is

a. k – 1.
b. number of rows minus 1 times number of columns minus 1.
c. a chi-square distribution is not used.
d. n -1

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

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?

15 and 14.7 are 1 apart, so 15 – 14.7 must be 1.