Peter scored a total 44 points on 9 math quizzes. What score does Peter need on his tenth and final quiz in order to have a final quiz average of 5 ?

The score does Peter needs on his tenth and final quiz in order to have a final quiz average of 5 is 6 and this can be determined by using the formula of average.

Given :

Peter scored a total of 44 points on 9 math quizzes.

The following steps can be used in order to determine the score of the tenth quiz:

Step 1 - The formula of average can be used in order to determine the score of the tenth quiz.

Step 2 - According to the given data, Peter scored a total of 44 points on 9 math quizzes. Now, let the score of the final tenth quiz be 'x'.

Step 3 - The average of the 10 quizzes is given by:

Step 4 - Simplify the above expression in order to determine the value of 'x'.

50 = 44 + x

x = 6

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Number of points need = 6 points

Step-by-step explanation:

Given:

New average = 5

Points peter has = 44

Total quiz play = 9

Find:

Points required for average of 5

Computation:

Total number of match = 9 + 1

Total number of match = 10

Average points = 5

Assume;

Number of points need = x

So,

Average points = [Total points] / Total number of match

5 = [44+x] / 10

50 = 44 + x

x = 6

Number of points need = 6 points

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