Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop

Mathematics

1 answer:

Galina-37 [17]2 years ago

5 0

Answer:

95,013

Step-by-step explanation:

If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!

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$P(3.25 < \bar X < 4.25)$

And we can use the z score formula given by:

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And using the z score we have:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the time it takes her to complete one review, and for this case we know the distribution for X is given by:

$X \sim N(4,1.2)$

Where $\mu=4$ and $\sigma=1.2$

And we select a sample size of n =16. Since the dsitribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by: