Solved on Nov 13, 2023

# Find the value of $x$ if the mean of 4, 8, and $x$ is 7.

#### STEP 1

### Assumptions1. The mean of the numbers4,8, and $x$ 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 follows$Mean = \frac{Sum\, of\, numbers}{Count\, of\, numbers}$

#### STEP 3

### Now, plug in the given values for the mean, the known numbers, and the count of numbers to form an equation.

$7 = \frac{ +8 + x}{3}$

#### STEP 4

### To find the value of $x$, we first need to isolate $x$ on one side of the equation. We can do this by multiplying both sides of the equation by3.

$7 \times3 = (4 +8 + x)$

#### STEP 5

### Calculate the left side of the equation.

$21 =4 +8 + x$

#### STEP 6

### Now, to further isolate $x$, we subtract the sum of4 and8 from both sides of the equation.

$21 - (4 +8) = x$

#### STEP 7

### Calculate the right side of the equation to find the value of $x$.

$21 -12 = x$

#### STEP 8

### Calculate the value of $x$.

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

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