SOLUTION: After three 25-point quizzes, you have 58 points. How many points do you need to score on your next 25-point quiz to have a mean score of 20 points? Would a mean score of 20

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Question 935177: After three 25-point quizzes, you have 58 points.
How many points do you need to score on your next 25-point quiz to have a mean score of 20 points?
Would a mean score of 20 points after 4 quizzes be greater than or less than your mean score after 3 quizzes?
Your score on each quiz is a whole number. Is it possible that yuor mean score does not change after the fourth quiz? Explain.

Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
After three 25-point quizzes, you have 58 points.
How many points do you need to score on your next 25-point quiz to have a mean score of 20 points?
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Equation:
(58+x)/4 = 20
58+x = 80
x = 22 (Score needed on the 4th quiz)
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Would a mean score of 20 points after 4 quizzes be greater than or less than your mean score after 3 quizzes?
mean score after 3 quizzes = 58/3 = 19 1/3
Ans to the question:: if mean of 4 quizzes is 20,
the mean after 3 quizzes is less
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Your score on each quiz is a whole number. Is it possible that your mean score does not change after the fourth quiz? Explain.
Ans:: confusing question.
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Cheers,
Stan H.
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Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
After three 25-point quizzes, you have 58 points.
How many points do you need to score on your next 25-point quiz to have a mean score of 20 points?
let x = your score on the 4th quiz
= 20
58 + x = 20*4
x = 80 - 58
x = 22
:
Would a mean score of 20 points after 4 quizzes be greater than or less than your mean score after 3 quizzes?
58/3 = 19.333, more
:
Your score on each quiz is a whole number.
Is it possible that your mean score does not change after the fourth quiz? Explain. No, the 4th score average will be an in integer, since the total of the first 3 scores is 58, an integer

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