Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

Answer Details

To find the value of x, we need to use the formula for calculating the mean (also known as the average). The mean of a set of numbers is equal to the sum of the numbers divided by the total number of numbers in the set. In this problem, we have four numbers: 2x, 4x, 2x - 13, and 6x. To find their mean, we need to add them up and divide by 4 (since there are four numbers in the set). Therefore, we have: (2x + 4x + 2x - 13 + 6x) / 4 = 4 Simplifying the left-hand side of the equation, we get: 14x - 13 / 4 = 4 Multiplying both sides by 4, we get: 14x - 13 = 16 Adding 13 to both sides, we get: 14x = 29 Dividing both sides by 14, we get: x = 29/14 Therefore, x is approximately equal to 2.07 (rounded to two decimal places). So the answer is not one of the given options, but rather x = 29/14.