deshaun has scored 99, 93, and 59 on his previous three tests. what score does he need on his next test so…

deshaun has scored 99, 93, and 59 on his previous three tests. what score does he need on his next test so that his average (mean) is 83?

deshaun has scored 99, 93, and 59 on his previous three tests. what score does he need on his next test so that his average (mean) is 83?

Answer

Explanation:

Step1: Recall mean formula

The mean formula is $\text{Mean}=\frac{\text{Sum of values}}{\text{Number of values}}$. Let the score on the fourth test be $x$. The sum of the four - test scores is $99 + 93+59 + x$, and the number of values is 4, and the mean is 83. So we have the equation $\frac{99 + 93+59 + x}{4}=83$.

Step2: Simplify the numerator

First, calculate $99 + 93+59=251$. The equation becomes $\frac{251 + x}{4}=83$.

Step3: Solve for $x$

Multiply both sides of the equation by 4: $251 + x=83\times4$. Since $83\times4 = 332$, we have $251+x = 332$. Then subtract 251 from both sides: $x=332 - 251$.

Step4: Calculate the value of $x$

$x = 81$.

Answer:

81