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The mean of five numbers 3,7,9,12, and x is 8. Find the value of x
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May 14, 2018
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The mean of five numbers 3,7,9,12, and x is 8. Find the value of x
Mathematics
high-school
Lyuda
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Answer: "
x = 9
" .
____________________________________
Step-by-step explanation:
____________________________________
To calculate the mean:
____________________________________
The mean =
{the sum of all the values in the number set} ÷
{the number of values in the data set}
;
____________________________________
To solve for
"
x
" ;
____________________________________
Given that the "mean" is: "8" ;
____________________________________
8 = { 3 + 7 + 9 + 12 + x } / 5 ;
____________________________________
↔
{ 3 + 7 + 9 + 12 + x } / 5 = 8 ;
____________________________________
→
{ 3 + 7 + 9 + 12 + x } = 8 * 5 ;
____________________________________
→ { 31 + x } = 40 ;
____________________________________
↔ x + 31 = 40 ;
____________________________________
Subtract "31" from EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
____________________________________
→
x + 31 − 31 = 40 − 31 ;
→ x = 9
.
____________________________________
Traore
answered
May 17, 2018
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Traore
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