簡約 e^{-0.0550.167}(0.080.48978+0.16*(1-0.48978))

解

簡約

e^{- 0.055 \cdot 0.167} (0.08 \cdot 0.48978 + 0.16 \cdot (1 - 0.48978))

0.11971 \dots

解答ステップ

e^{- 0.055 \cdot 0.167} (0.08 \cdot 0.48978 + 0.16 (1 - 0.48978))

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{0.055 \cdot 0.167}} (0.16 (1 - 0.48978) + 0.08 \cdot 0.48978)

数を乗じる:

0.055 \cdot 0.167 = 0.009185

= \frac{1}{e ^{0.009185}} (0.16 (1 - 0.48978) + 0.08 \cdot 0.48978)

0.08 \cdot 0.48978 = 0.0391824

0.16 (1 - 0.48978) = 0.0816352

= \frac{1}{e ^{0.009185}} (0.0391824 + 0.0816352)

数を足す:

0.0391824 + 0.0816352 = 0.1208176

= 0.1208176 \cdot \frac{1}{e ^{0.009185}}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 0.1208176}{e ^{0.009185}}

数を乗じる:

1 \cdot 0.1208176 = 0.1208176

= \frac{0.1208176}{e ^{0.009185}}

e^{0.009185} = 1.00922 \dots

= \frac{0.1208176}{1.00922 \dots}

数を割る:

\frac{0.1208176}{1.00922 \dots} = 0.11971 \dots

= 0.11971 \dots