Kalino earned 85, 95, 93, and 80 points on the 4 tests, each worth 100 points, given so far this term. How many points must he earn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term?

The average is calculated by adding up the amounts earned on each test and dividing by the total number of tests. In this case, the score for the last test is not known, but the expected average of 90 points is, so we can set up an equation to solve for the unknown test value:

[tex]\frac{85+95+93+80+x}{5} =90[/tex]

'x' represents the score of the fifth test. Using inverse (opposite) operations and doing the same operation to both sides of the equation, we can first multiply both sides by 5:

[tex]\frac{353+x}{5}[/tex] x 5 = 90 x 5

353 + x = 450, now subtract 353 from both sides: 353 -353 + x = 450 - 353

x = 97

ankitprmr2 ankitprmr2 · Answer 2 · 2021-11-26T10:42:09+01:00

Kalino has to score 97 points must he earn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term.

Kalino has a score of 85, 95, 93, and 80 points on the 4 tests, each worth 100 points.

We need to determine what score does Kalino needs on the next test to raise his average (mean) to 90 points.

Now, the formulated way to represent the mean of data is mentioned below:

[tex]\rm{Mean}=\dfrac{Sum\;of\;all\;data}{Total\;number\;of\;data}[/tex]

Let us assume that the Kalino earned x points in the last test to achieve the average of 90 points.

[tex]\begin{aligned}90&=\dfrac{85+95+93+80+x}{5}\\450&=353+x\\x&=97 \end{aligned}[/tex]

Thus, Kalino has to score 97 points must he earn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term.

To know more about the mean, please refer to the link:

brainly.com/question/15662511