The nine members of an academy league have an gpa of 3.7 . a new member joins who has a 4.0 gpa . what is the league’s new average?

3.73

Step-by-step explanation:

To solve this, we simply need to find the mean (or the average) with the addition of the new member. To find an average, we simply add all the values and then divide by the total amount of values. The work is shown below...

(3.7) + (3.7) + (3.7) + (3.7) + (3.7) + (3.7) + (3.7) + (3.7) + (3.7) + (4.0) = 37.3

Now we divide 37.3 by the amount of members, which is 10.

37.3 / 10 = 3.73

The league's new average is 3.73

Here are the necessary steps for completing this.

1. take the estimated number and subtract it from the actual number EXAMPLE:     5.75-6.25 = -0.5

2. then take the answer and multiply it by 100% 
EXAMPLE:     -0.5*100 = -50

3. next take the multiplied answer and divide it by the actual number
EXAMPLE:     -50÷6.25 = -8

4. finally take the answer and absolute value it then put the number as a percent
EXAMPLE:      -8=8       8=8%

your answer is 8%