簡約 e^{-0.01}[0.3417(0.5898)+0.6583(0.1923)]

解

簡約

e^{- 0.01} [0.3417 (0.5898) + 0.6583 (0.1923)]

0.32486 \dots

解答ステップ

e^{- 0.01} [0.3417 (0.5898) + 0.6583 (0.1923)]

指数の規則を適用する:

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

= \frac{1}{e ^{0.01}} [0.3417 \cdot 0.5898 + 0.6583 \cdot 0.1923]

数を乗じる:

0.3417 \cdot 0.5898 = 0.20153466

= \frac{1}{e ^{0.01}} (0.20153466 + 0.6583 \cdot 0.1923)

数を乗じる:

0.6583 \cdot 0.1923 = 0.12659109

= \frac{1}{e ^{0.01}} (0.20153466 + 0.12659109)

数を足す:

0.20153466 + 0.12659109 = 0.32812575

= 0.32812575 \cdot \frac{1}{e ^{0.01}}

分数を乗じる:

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

= \frac{1 \cdot 0.32812575}{e ^{0.01}}

数を乗じる:

1 \cdot 0.32812575 = 0.32812575

= \frac{0.32812575}{e ^{0.01}}

e^{0.01} = 1.01005 \dots

= \frac{0.32812575}{1.01005 \dots}

数を割る:

\frac{0.32812575}{1.01005 \dots} = 0.32486 \dots

= 0.32486 \dots