9. The data below are the passing scores on an Algebra exam in one class. For this question, round all answers to the nearest tenth, as needed. (15 points) 60 68 88 76 60 92 92 92 88 60 68 92 88

92 64 60 76 64 92 88 76 60 60 64 60 88

76 64

Construct the frequency table by using five classes.

Class Limit

f

Class Midpoint

Cumulative Frequency

Class Boundary

(a) Create a frequency polygon to represent the above data. (b) Create an ogive to represent the above data.

Find the equation of a line whose slope is 2/5 and y- intercept is 2.write your answer in the form 1) ax+by+c=02) x/a+y/b=1

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?

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv