Solved on Nov 13, 2023

Find the value of xx if the mean of 4, 8, and xx is 7.

STEP 1

Assumptions1. The mean of the numbers4,8, and xx is7. The mean is calculated by adding all the numbers and dividing by the count of the numbers

STEP 2

We know that the mean is calculated by adding all the numbers and dividing by the count of the numbers. So, we can write the equation for the mean as followsMean=SumofnumbersCountofnumbersMean = \frac{Sum\, of\, numbers}{Count\, of\, numbers}

STEP 3

Now, plug in the given values for the mean, the known numbers, and the count of numbers to form an equation.
7=+8+x37 = \frac{ +8 + x}{3}

STEP 4

To find the value of xx, we first need to isolate xx on one side of the equation. We can do this by multiplying both sides of the equation by3.
7×3=(4+8+x)7 \times3 = (4 +8 + x)

STEP 5

Calculate the left side of the equation.
21=4+8+x21 =4 +8 + x

STEP 6

Now, to further isolate xx, we subtract the sum of4 and8 from both sides of the equation.
21(4+8)=x21 - (4 +8) = x

STEP 7

Calculate the right side of the equation to find the value of xx.
2112=x21 -12 = x

STEP 8

Calculate the value of xx.
x=x =So, the value of xx that makes the mean of4,8, and xx equal to7 is.

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