Matemática discreta Ejemplos

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

Paso 1

Simplifica el numerador.

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Paso 1.1

Resta $9.35$ de $2$ .

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

Paso 1.2

Eleva $- 7.35$ a la potencia de $2$ .

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

Paso 1.3

Multiplica $54.0225$ por $24$ .

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

Paso 1.4

Resta $9.35$ de $7$ .

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

Paso 1.5

Eleva $- 2.35$ a la potencia de $2$ .

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

Paso 1.6

Multiplica $5.5225$ por $35$ .

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

Paso 1.7

Resta $9.35$ de $12$ .

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

Paso 1.8

Eleva $2.65$ a la potencia de $2$ .

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

Paso 1.9

Multiplica $7.0225$ por $24$ .

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

Paso 1.10

Resta $9.35$ de $17$ .

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

Paso 1.11

Eleva $7.65$ a la potencia de $2$ .

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

Paso 1.12

Multiplica $58.5225$ por $12$ .

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

Paso 1.13

Resta $9.35$ de $22$ .

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

Paso 1.14

Eleva $12.65$ a la potencia de $2$ .

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

Paso 1.15

Multiplica $160.0225$ por $0$ .

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

Paso 1.16

Resta $9.35$ de $27$ .

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

Paso 1.17

Eleva $17.65$ a la potencia de $2$ .

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

Paso 1.18

Multiplica $311.5225$ por $2$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 623.045 + {(32 - 9.35)}^{2} \cdot 3}{100 - 1}$

Paso 1.19

Resta $9.35$ de $32$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 623.045 + {22.65}^{2} \cdot 3}{100 - 1}$

Paso 1.20

Eleva $22.65$ a la potencia de $2$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 623.045 + 513.0225 \cdot 3}{100 - 1}$

Paso 1.21

Multiplica $513.0225$ por $3$ .

$\frac{1296.54 + 193.2875 + 168.54 + 702.27 + 0 + 623.045 + 1539.0675}{100 - 1}$

Paso 1.22

Suma $1296.54$ y $193.2875$ .

$\frac{1489.8275 + 168.54 + 702.27 + 0 + 623.045 + 1539.0675}{100 - 1}$

Paso 1.23

Suma $1489.8275$ y $168.54$ .

$\frac{1658.3675 + 702.27 + 0 + 623.045 + 1539.0675}{100 - 1}$

Paso 1.24

Suma $1658.3675$ y $702.27$ .

$\frac{2360.6375 + 0 + 623.045 + 1539.0675}{100 - 1}$

Paso 1.25

Suma $2360.6375$ y $0$ .

$\frac{2360.6375 + 623.045 + 1539.0675}{100 - 1}$

Paso 1.26

Suma $2360.6375$ y $623.045$ .

$\frac{2983.6825 + 1539.0675}{100 - 1}$

Paso 1.27

Suma $2983.6825$ y $1539.0675$ .

$\frac{4522.75}{100 - 1}$

Paso 2

Simplifica la expresión.

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Paso 2.1

Resta $1$ de $100$ .

$\frac{4522.75}{99}$

Paso 2.2

Divide $4522.75$ por $99$ .

$45.68\overline{43}$