Answer:
116
Step-by-step explanation:
Total degrees in a pentagon: 540
Therefore, x + x + 100 + 101 + 107 = 540
2x + 308 = 540
2x = 232
x = 116
The variance is the total of the squared distances of the given data from the mean.
This can be calculated through the equation,
σ² = summation of X² / N - μ²
where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.
summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
N = 5
μ = (100 + 100 + 120 + 120 + 180) / 5
μ = 124
Substituting these values to the equation for variance,
σ² = (81200/5) - 124² = 864
Thus, the variance is equal to 864.
<u>Answer</u>:
- A numerical expression is an expression made up only of numbers and operations but an expression written with a variable in it, is called a variable expression. Both a numerical expression and a variable expression can include powers.
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I hope this helps!
-<u>GXLDIE</u> <3
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