Finite Math Examples

μ = 10

$μ = 10$ ,

σ = 0.28

$σ = 0.28$ ,

x = 10.84

$x = 10.84$

Step 1

The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.

\frac{x - μ}{σ}

$\frac{x - μ}{σ}$

Step 2

Find the z-score.

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Step 2.1

Fill in the known values.

\frac{10.84 - (10)}{0.28}

$\frac{10.84 - (10)}{0.28}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Simplify the numerator.

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Step 2.2.1.1

Multiply

- 1

$- 1$ by

10

$10$ .

\frac{10.84 - 10}{0.28}

$\frac{10.84 - 10}{0.28}$

Step 2.2.1.2

Subtract

10

$10$ from

10.84

$10.84$ .

\frac{0.84}{0.28}

$\frac{0.84}{0.28}$

\frac{0.84}{0.28}

$\frac{0.84}{0.28}$

Step 2.2.2

Divide

0.84

$0.84$ by

0.28

$0.28$ .

3

$3$

3

$3$

3

$3$

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