In this question, we are given an arithmetic mean and a number. We are asked to find another number so that we can reach the arithmetic mean.
Let's define an arithmetic mean first. The arithmetic mean is basically the average of numbers. It can be written as the sum of all numbers dividedby the number of addends placed.
Using this paragraph, we can imply that:
[(4x-19) + 11] / 2 = 4
This is now our working equation for this problem. We now just need to simplify it and solve for x.
[(4x-19) + 11] / 2 = 4
(4x - 8) / 2 = 4
2x - 4 = 4
2x - 4 + 4 = 4 + 4
2x = 8
2x / 2 = 8 / 2
x = 4
Therefore, the value of x that can satisfy the constraint given by the question is 4.
Answers & Comments
Verified answer
Answer:
x = 4
Step-by-step explanation:
In this question, we are given an arithmetic mean and a number. We are asked to find another number so that we can reach the arithmetic mean.
Let's define an arithmetic mean first. The arithmetic mean is basically the average of numbers. It can be written as the sum of all numbers divided by the number of addends placed.
Using this paragraph, we can imply that:
[(4x-19) + 11] / 2 = 4
This is now our working equation for this problem. We now just need to simplify it and solve for x.
[(4x-19) + 11] / 2 = 4
(4x - 8) / 2 = 4
2x - 4 = 4
2x - 4 + 4 = 4 + 4
2x = 8
2x / 2 = 8 / 2
x = 4
Therefore, the value of x that can satisfy the constraint given by the question is 4.
Hope this helps!
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