Finite Math Examples

$\frac{{(1 - 8.7)}^{2} + {(9 - 8.7)}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $8.7$ from $1$ .

$\frac{{(- 7.7)}^{2} + {(9 - 8.7)}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.2

Raise $- 7.7$ to the power of $2$ .

$\frac{59.29 + {(9 - 8.7)}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.3

Subtract $8.7$ from $9$ .

$\frac{59.29 + {0.3}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.4

Raise $0.3$ to the power of $2$ .

$\frac{59.29 + 0.09 + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.5

Subtract $8.7$ from $4$ .

$\frac{59.29 + 0.09 + {(- 4.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.6

Raise $- 4.7$ to the power of $2$ .

$\frac{59.29 + 0.09 + 22.09 + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.7

Subtract $8.7$ from $12$ .

$\frac{59.29 + 0.09 + 22.09 + {3.3}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.8

Raise $3.3$ to the power of $2$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.9

Subtract $8.7$ from $13$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + {4.3}^{2} + {(13 - 8.7)}^{2}}{6}$

Step 1.10

Raise $4.3$ to the power of $2$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + 18.49 + {(13 - 8.7)}^{2}}{6}$

Step 1.11

Subtract $8.7$ from $13$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + 18.49 + {4.3}^{2}}{6}$

Step 1.12

Raise $4.3$ to the power of $2$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + 18.49 + 18.49}{6}$

Step 1.13

Add $59.29$ and $0.09$ .

$\frac{59.38 + 22.09 + 10.89 + 18.49 + 18.49}{6}$

Step 1.14

Add $59.38$ and $22.09$ .

$\frac{81.47 + 10.89 + 18.49 + 18.49}{6}$

Step 1.15

Add $81.47$ and $10.89$ .

$\frac{92.36 + 18.49 + 18.49}{6}$

Step 1.16

Add $92.36$ and $18.49$ .

$\frac{110.85 + 18.49}{6}$

Step 1.17

Add $110.85$ and $18.49$ .

$\frac{129.34}{6}$

Step 2

Divide $129.34$ by $6$ .

$21.55\overline{6}$