2 years ago

What is the value of this expression when a=20

Mathematics

1 answer:

Aloiza [94]2 years ago

4 0

Answer:

Step-by-step explanation:

A=20

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Step-by-step explanation:

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1 year ago

Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the

Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

$Z\sim N(0, 1)$

The formula to compute the <em>z</em>-score is:

$z=\frac{x-\mu}{\sigma}$

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

$z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20$

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

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