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3 years ago

Find the missing measure of the arc formed by the endpoints of a central angle.

Mathematics

1 answer:

Alina [70]3 years ago

4 0

Answer:

The missing measure of the arc is 125°.

Step-by-step explanation:

Since the circle is 360°, you would first subtract 360 by the degrees given: 360-115-35-85 and the sum is 125. Then, you would set 125 equal to -32x-3 to solve for x.

$125=-32x-3$

$+3$ $+3$

-----------------------

$\frac{128}{-32} =\frac{-32x}{-32}$

$x=-4$

The missing measure of the arc is 125°.

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Step-by-step explanation:

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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".

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Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(100,15)$

Where $\mu=100$ and $\sigma=15$

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

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$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

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Find the missing measure of the arc formed by the endpoints of a central angle.​

Find the missing measure of the arc formed by the endpoints of a central angle.