To calculate: The points needed on the final to average the points to 75 when the final carries double weight. Given information: Grades in three teste in College Algebra are 87,59 and 73. The final carries double weight. The average after final is 75.

ediculeN 2020-10-21 Answered
To calculate:
The points needed on the final to average the points to 75 when the final carries double weight.
Given information:
Grades in three teste in College Algebra are 87,59 and 73.
The final carries double weight.
The average after final is 75.
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Expert Answer

ottcomn
Answered 2020-10-22 Author has 97 answers
Calculation:
Let the grade in the final test be x
Average of n numbers a1+a2+a3++an is given by A=a1+a2+a3++ann
Since the final carries double weight, it is considered as 2 numbers and the score is doubled,
i.e.,
A=87+59+73+2x5
Given average is 75
Therefore,
5=87+59+73+2x5
Multiplying both sides by 5
755=87+59+73+2x55
375=219+2x
Subtracting 219 from both the sides,
375219=219+2x219
156=2x
2x=156
Dividing both sides by 2,
2x2=1562
x=78
Therefore the score required in final test to get an average of 75 with double weight for final test is 78.
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