The final carries double weight.

The average after final is 75

The points needed on the final to average the points to 75 when the final carries double weight.

Falak Kinney
2021-02-21
Answered

Grades in three tests in College Algebra are 87,59 and 73.

The final carries double weight.

The average after final is 75

The points needed on the final to average the points to 75 when the final carries double weight.

The final carries double weight.

The average after final is 75

The points needed on the final to average the points to 75 when the final carries double weight.

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Tuthornt

Answered 2021-02-22
Author has **107** answers

Calculation:

Let the grade in the final test be x

Average of n numbers${a}_{1}+{a}_{2}+{a}_{3}+...{a}_{n}\text{}is\text{}given\text{}by\text{}A=\frac{{a}_{1}+{a}_{2}+{a}_{3}+...+{a}_{n}}{n}$

Since the final carries double weight, it is considered as 2 numbers and the score is doubled,

i.e.,

$A=\frac{87+59+73+2x}{5}$

Given average is 75

Therefore,

$75=\frac{87+59+73+2x}{5}$

Multiplying both sides by 5

$75\ast 5=\frac{87+59+73+2x}{5\ast 5}$

$375=219+2x$
Subtracting 219 from both the sides,

$375\u2014219=219+2x-219$

$156=2x$

$2x=156$

Dividing both sides by 2,

$\frac{2x}{2}=\frac{156}{2}$

$x=78$

Therefore the score required in final test to get an average of 75 with double weight for final test is 78.

Let the grade in the final test be x

Average of n numbers

Since the final carries double weight, it is considered as 2 numbers and the score is doubled,

i.e.,

Given average is 75

Therefore,

Multiplying both sides by 5

Dividing both sides by 2,

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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