How do you solve this question. I literally have no idea on where to start. "If the mean of the following numbers is /7, find the c value. Produce an algebraic solution.
Numbers: 12, 18, 21, c, 13
Please help.
Sorry. There's no / before 7. A typo. It's actually 17
(12 + 18 + 21 + c + 13) / 5 = 17
64 + c = 85
c = 21
To find the value of "c" that makes the mean of the given numbers equal to 7, we can follow these steps:
Step 1: Find the sum of the numbers.
Add up all the given numbers: 12 + 18 + 21 + c + 13
Step 2: Find the mean of the numbers.
Since the mean is the sum of the numbers divided by the count of numbers, and we are given that the mean is 7, we can set up the following equation:
(12 + 18 + 21 + c + 13) / 5 = 7
Step 3: Simplify the equation.
First, add up the numbers in the parentheses:
64 + c = 7 * 5
64 + c = 35
Step 4: Solve for "c".
To solve for "c", isolate it by subtracting 64 from both sides of the equation:
c = 35 - 64
Step 5: Calculate the value of "c".
Subtracting 64 from 35 gives us:
c = -29
Therefore, the value of "c" that makes the mean of the given numbers equal to 7 is -29.