A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during the year, and passes 80 percent of the remaining quizzes successfully, what would his average percentile be?

same with this one

A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

72%

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72%

To find the student's average percentile, we need to determine the percent of quizzes he passes successfully out of all the quizzes.

First, let's calculate the number of quizzes the student passed successfully out of the 20 quizzes written so far. Since the student passed 60 percent of the 20 quizzes, we multiply 20 by 0.6:

Number of quizzes passed = 20 * 0.6 = 12 quizzes

Next, we need to calculate the number of remaining quizzes the student will write during the year. This can be found by subtracting the quizzes written so far from the total quizzes for the year:

Remaining quizzes = Total quizzes - Quizzes written so far = 50 - 20 = 30 quizzes

Now, we calculate the number of quizzes the student will pass successfully from the remaining quizzes. Since the student will pass 80 percent of the remaining quizzes, we multiply 30 by 0.8:

Number of quizzes passed from remaining = 30 * 0.8 = 24 quizzes

To find the total number of quizzes passed, we add the quizzes passed so far (12 quizzes) to the quizzes passed from the remaining (24 quizzes):

Total quizzes passed = 12 quizzes + 24 quizzes = 36 quizzes

Finally, to calculate the average percentile, we divide the total quizzes passed by the total number of quizzes and multiply by 100:

Average Percentile = (Total quizzes passed / Total quizzes) * 100
= (36 quizzes / 50 quizzes) * 100
= 72%

Therefore, the student's average percentile would be 72%.

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