What is (1/(7*sqrt(2pi)))*e^{-1/2 ((90-85)/7)^2} ?

The solution to (1/(7*sqrt(2pi)))*e^{-1/2 ((90-85)/7)^2} is 1/(7sqrt(2)e^{25/98)sqrt(pi)}

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simplify (1/(7sqrt(2pi)))e^{-1/2 ((90-85)/7)^2}

simplify

(\frac{1}{7 \cdot 2 π}) \cdot e^{- \frac{1}{2} (\frac{90 - 85}{7})^{2}}

\frac{1}{7 2 e ^{\frac{25}{98}} π}

Decimal Notation

0.04415 \dots

Solution steps

(\frac{1}{7 2 π}) e^{- \frac{1}{2} (\frac{90 - 85}{7})^{2}}

Apply exponent rule:

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

= \frac{1}{7 2 π} \cdot \frac{1}{e ^{\frac{1}{2} (\frac{90 - 85}{7})^{2}}}

\frac{1}{7 2 π} = \frac{1}{7 2 π}

= \frac{1}{7 2 π} \cdot \frac{1}{e ^{\frac{1}{2} (\frac{90 - 85}{7})^{2}}}

\frac{1}{e ^{\frac{1}{2} (\frac{90 - 85}{7})^{2}}} = \frac{1}{e ^{\frac{25}{98}}}

= \frac{1}{7 2 π} \cdot \frac{1}{e ^{\frac{25}{98}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{7 2 π e ^{\frac{25}{98}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{7 2 e ^{\frac{25}{98}} π}

2190 \cdot (- 0.3) e^{- 0.3 (2)}

2.56 \cdot 1 0^{- 6}

80 (4) e^{- 0.5 \cdot 4}

(160 \cdot 1 0^{- 6}) [1 - e^{- 500 (2 \cdot 1 0^{- 3})}]

What is (1/(7*sqrt(2pi)))*e^{-1/2 ((90-85)/7)^2} ?
The solution to (1/(7*sqrt(2pi)))*e^{-1/2 ((90-85)/7)^2} is 1/(7sqrt(2)e^{25/98)sqrt(pi)}