The mean of 3, 5, 3x and 2 is 4: Find the value of x.

Here are the solutions to the questions.

22.

Step 1: Write the formula for the mean.
The mean of a set of numbers is the sum of the numbers divided by the count of the numbers.
Given numbers: $3, 5, 3x, 2$. The count is 4. The mean is 4.

$$\text{Mean} = \frac{3 + 5 + 3x + 2}{4}$$

Step 2: Set up the equation and solve for $x$.

$$4 = \frac{10 + 3x}{4}$$

Multiply both sides by 4:

$$4 \times 4 = 10 + 3x$$ $$$$