Finite Math Examples

$\frac{{(2 - 9.35)}^{2} \cdot 24 + {(7 - 9.35)}^{2} \cdot 35 + {(12 - 9.35)}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $9.35$ from $2$ .

$\frac{{(- 7.35)}^{2} \cdot 24 + {(7 - 9.35)}^{2} \cdot 35 + {(12 - 9.35)}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.2

Raise $- 7.35$ to the power of $2$ .

$\frac{54.0225 \cdot 24 + {(7 - 9.35)}^{2} \cdot 35 + {(12 - 9.35)}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.3

Multiply $54.0225$ by $24$ .

$\frac{1296.54 + {(7 - 9.35)}^{2} \cdot 35 + {(12 - 9.35)}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.4

Subtract $9.35$ from $7$ .

$\frac{1296.54 + {(- 2.35)}^{2} \cdot 35 + {(12 - 9.35)}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.5

Raise $- 2.35$ to the power of $2$ .

$\frac{1296.54 + 5.5225 \cdot 35 + {(12 - 9.35)}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.6

Multiply $5.5225$ by $35$ .

$\frac{1296.54 + 193.2875 + {(12 - 9.35)}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.7

Subtract $9.35$ from $12$ .

$\frac{1296.54 + 193.2875 + {2.65}^{2} \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.8

Raise $2.65$ to the power of $2$ .

$\frac{1296.54 + 193.2875 + 7.0225 \cdot 24 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.9

Multiply $7.0225$ by $24$ .

$\frac{1296.54 + 193.2875 + 168.54 + {(17 - 9.35)}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.10

Subtract $9.35$ from $17$ .

$\frac{1296.54 + 193.2875 + 168.54 + {7.65}^{2} \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.11

Raise $7.65$ to the power of $2$ .

$\frac{1296.54 + 193.2875 + 168.54 + 58.5225 \cdot 12 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.12

Multiply $58.5225$ by $12$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + {(22 - 9.35)}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.13

Subtract $9.35$ from $22$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + {12.65}^{2} \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.14

Raise $12.65$ to the power of $2$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 160.0225 \cdot 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.15

Multiply $160.0225$ by $0$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + {(27 - 9.35)}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.16

Subtract $9.35$ from $27$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + {17.65}^{2} \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.17

Raise $17.65$ to the power of $2$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 311.5225 \cdot 2 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.18

Multiply $311.5225$ by $2$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 623.045 + (32 - 9.35) \cdot 3}{100 - 1}$

Step 1.19

Subtract $9.35$ from $32$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 623.045 + 22.65 \cdot 3}{100 - 1}$

Step 1.20

Multiply $22.65$ by $3$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 623.045 + 67.95}{100 - 1}$

Step 1.21

Add $1296.54$ and $193.2875$ .

$\frac{1489.8275 + 168.54 + 702.27 + 0 + 623.045 + 67.95}{100 - 1}$

Step 1.22

Add $1489.8275$ and $168.54$ .

$\frac{1658.3675 + 702.27 + 0 + 623.045 + 67.95}{100 - 1}$

Step 1.23

Add $1658.3675$ and $702.27$ .

$\frac{2360.6375 + 0 + 623.045 + 67.95}{100 - 1}$

Step 1.24

Add $2360.6375$ and $0$ .

$\frac{2360.6375 + 623.045 + 67.95}{100 - 1}$

Step 1.25

Add $2360.6375$ and $623.045$ .

$\frac{2983.6825 + 67.95}{100 - 1}$

Step 1.26

Add $2983.6825$ and $67.95$ .

$\frac{3051.6325}{100 - 1}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $1$ from $100$ .

$\frac{3051.6325}{99}$

Step 2.2

Divide $3051.6325$ by $99$ .

$30.8245\overline{70}$