**Try a COMPASS math test prep course with a teacher:**

1.)

2.)

Hence, the answer is 15.

3.)

4.)

5.)

6.)

7.)

8.) Squaring each expression gives the solution: .

9.)

10.) From the text you can derive the proportion: .

11.)

12.)

13.) Since the mean GPA of the initial 24 student is 3.10, the sum of all their GPA’s must be (24)(3.10). Adding another student with a GPA of 3.60 would make the average:

The question asked for the difference between the old and new average GPA’s which is .

14.) We must first calculate x:

Since the data set has an even number of points, the median is the mean of the middle two points:

15.)

16.) First calculate: , then substitute MHR and RHR into the equation to solve for THR:

17.) Plug all the values into the equation to get:

Which means, on average, you would expect to lose $12.50 from this bet.

18.)

19.) .

20.) .

21.) .

22.)

23.) .

24.) .

25.)

26.)

27.)

28.)

29.) Perpendicular lines have slopes that are inverses with opposite signs. If we first convert the given equation into slope intercept form, , we can see the slope of the perpendicular line will be .

30.) We must first calculate the slope:

The first point, , is the y-intercept, so using slope intercept form the equation of the line is: