What is 1/(sqrt(2pi*1))e^{-((24-22.4)^2)/(2*1)} ?

The solution to 1/(sqrt(2pi*1))e^{-((24-22.4)^2)/(2*1)} is 0.11092…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(sqrt(2pi1))e^{-((24-22.4)^2)/(21)}

simplify

\frac{1}{2 π \cdot 1} e^{- \frac{( 24 - 22.4 ) ^{2}}{2 \cdot 1}}

0.11092 \dots

Solution steps

\frac{1}{2 π 1} e^{- \frac{( 24 - 22.4 ) ^{2}}{2 \cdot 1}}

Apply exponent rule:

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

= \frac{1}{2 \cdot 1 π} \cdot \frac{1}{e ^{\frac{( 24 - 22.4 ) ^{2}}{2 \cdot 1}}}

\frac{1}{2 π 1} = \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}}}

= \frac{1}{e ^{\frac{( 24 - 22.4 ) ^{2}}{2 \cdot 1}}} \cdot \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}}}

\frac{( 24 - 22.4 ) ^{2}}{2 \cdot 1} = \frac{1. 6 ^{2}}{2}

= \frac{1}{e ^{\frac{1. 6 ^{2}}{2}}} \cdot \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}} e ^{\frac{1. 6 ^{2}}{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 ^{\frac{1}{2}} e ^{\frac{1. 6 ^{2}}{2}} π ^{\frac{1}{2}}}

1. 6^{2} = 2.56

= \frac{1}{2 ^{\frac{1}{2}} e ^{\frac{2.56}{2}} π ^{\frac{1}{2}}}

Convert element to a decimal form

2^{\frac{1}{2}} = 1.41421 \dots

= \frac{1}{1.41421 \dots e ^{\frac{2.56}{2}} π ^{\frac{1}{2}}}

Convert element to a decimal form

π^{\frac{1}{2}} = 1.77245 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots e ^{\frac{2.56}{2}}}

e^{\frac{2.56}{2}} = 3.59663 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots \cdot 3.59663 \dots}

Multiply the numbers:

1.41421 \dots \cdot 1.77245 \dots \cdot 3.59663 \dots = 9.01543 \dots

= \frac{1}{9.01543 \dots}

Divide the numbers:

\frac{1}{9.01543 \dots} = 0.11092 \dots

= 0.11092 \dots

20 e^{- 0.5 (1)}

(2.8 \cdot 1 0^{4}) \cdot (3 \cdot 1 0^{2})

2.077 \cdot 1 0^{- 4}

(f^{- 1} \circ f) (x)

What is 1/(sqrt(2pi*1))e^{-((24-22.4)^2)/(2*1)} ?
The solution to 1/(sqrt(2pi*1))e^{-((24-22.4)^2)/(2*1)} is 0.11092…