The average of 9z numbers is 12z. If 4z-2 is subtracted from each, then the new average is?
Question
The average of 9z numbers is 12z. If 4z-2 is subtracted from each, then the new average is?
Solution
The problem states that the average of 9z numbers is 12z. This means that the total sum of all the numbers is 9z * 12z = 108z^2.
Then, it says that 4z-2 is subtracted from each number. Since there are 9z numbers, the total amount subtracted from the sum is (4z-2) * 9z = 36z^2 - 18z.
So, the new total sum is 108z^2 - (36z^2 - 18z) = 72z^2 + 18z.
Finally, to find the new average, we divide this new sum by the total number of numbers, which is 9z. So, the new average is (72z^2 + 18z) / 9z = 8z + 2.
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