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kow [346]
3 years ago
14

The Bobcats had a win-loss record of 41-23 before their star player, Melissa, got injured. Melissa didn’t play in any more games

, and the Bobcats finished the season with an overall win-loss record of 54-34. What is the absolute difference in the Bobcats’ win percentages with and without Melissa? Express your answer to the nearest whole number.
Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

Answer:

The win percentage decreased by 10%

Step-by-step explanation:

First you need to fin the total games played right before Melissa got Injured

41+23=64

Then you need to find the win percentage by making a fraction of wins over total games

wins/total games = 41/64 = 64%

Then you need to find the number of games played after Melissa got injured

54-41 = 13 wins

34-23 = 11 losses

13+11 = 24 total games played without Melissa

You find that win percentage similarly to the first time

wins/total games = 13/24 = 54%

Then you find the difference in the percentages and there you have it!!

64% - 54% = 10%

It decreased as well therefore the answer is...

It decreased by 10%

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<em></em>

<em>The team must win 2 games to have a win : loss ratio o 2.</em>

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  • <u>Total wins, Tw</u>:

        Call n the number of new wins:

        Tw =number of wins until so far + number of new win = 6 + n

  • <u>Total losses, Tl</u>:

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Solve for n:

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Hence,<em> the team must win 6 more games.</em>

  • <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.

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