Finite Math Examples

μ = 8

$μ = 8$ ,

σ = 3.87

$σ = 3.87$ ,

x < 8.82

$x < 8.82$

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{8.82 - (8)}{3.87}

$\frac{8.82 - (8)}{3.87}$

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

8

$8$ .

\frac{8.82 - 8}{3.87}

$\frac{8.82 - 8}{3.87}$

Step 2.2.1.2

Subtract

8

$8$ from

8.82

$8.82$ .

\frac{0.82}{3.87}

$\frac{0.82}{3.87}$

\frac{0.82}{3.87}

$\frac{0.82}{3.87}$

Step 2.2.2

Divide

0.82

$0.82$ by

3.87

$3.87$ .

0.2118863

$0.2118863$

0.2118863

$0.2118863$

0.2118863

$0.2118863$

Step 3

Since

0.2118863 > 0.2118863

$0.2118863 > 0.2118863$ , there are no solutions.

No solution

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