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3 years ago

What is m<KNL? Enter your answer in the box

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

The measurement of ∠KNL is 102°

First, you must set up an equation to find x.

$5x+2=[3(x+14)$

Then, you must simplify both sides of the equation.

$5x+2=3x+42$

Next, subtract 3x on both sides.

$2x+2=42$

Then, subtract 2 on each side.

$2x=40$

Next, divide 2 on each side.

$x=20$

Now that we have the value of x, we can substitute it in for angle KNL.

$[3(20+14)]$

$[3(34)]$

$102$

$102$ °

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And using a calculator, excel or the normal standard table we have that:

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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 weigths of a population, and for this case we know the distribution for X is given by:

$X \sim N(21.37,0.4)$

Where $\mu=21.37$ and $\sigma=0.4$

Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the probability required with the following z score formula:

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$

And replacing we got:

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What is m<KNL? Enter your answer in the box​

What is m<KNL? Enter your answer in the box