Finite Math Examples

$μ = 8$ , $σ = 3.87$ , $x < 8.82$

Step 1

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

$\frac{x - μ}{σ}$

Step 2

Find the z-score.

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Step 2.1

Fill in the known values.

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

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 $- 1$ by $8$ .

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

Step 2.2.1.2

Subtract $8$ from $8.82$ .

$\frac{0.82}{3.87}$

Step 2.2.2

Divide $0.82$ by $3.87$ .

$0.2118863$

Step 3

Since $0.2118863 > 0.2118863$ , there are no solutions.

No solution

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