Solve [(9.5-10.03)^2*0.1]+[(9.8-10.03)^2*0.2]

$$[ ( 9.5 - 10.03 ) ^ { 2 } \times 0.1 ] + [ ( 9.8 - 10.03 ) ^ { 2 } \times 0.2 ]$$

Evaluate

$$0.03867$$

Solution Steps

Subtract 10.03 from 9.5 to get -0.53.

$$\left(-0.53\right)^{2}\times 0.1+\left(9.8-10.03\right)^{2}\times 0.2$$

Calculate -0.53 to the power of 2 and get 0.2809.

$$0.2809\times 0.1+\left(9.8-10.03\right)^{2}\times 0.2$$

Multiply 0.2809 and 0.1 to get 0.02809.

$$0.02809+\left(9.8-10.03\right)^{2}\times 0.2$$

Subtract 10.03 from 9.8 to get -0.23.

$$0.02809+\left(-0.23\right)^{2}\times 0.2$$

Calculate -0.23 to the power of 2 and get 0.0529.

$$0.02809+0.0529\times 0.2$$

Multiply 0.0529 and 0.2 to get 0.01058.

$$0.02809+0.01058$$

Add 0.02809 and 0.01058 to get 0.03867.

$$0.03867$$

Factor

$$\frac{3 \cdot 1289}{2 ^ {5} \cdot 5 ^ {5}} = 0.03867$$