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3 years ago

Equation practice with angle

Mathematics

1 answer:

cestrela7 [59]3 years ago

7 0

Answer & Step-by-step explanation:

AOC is a straight angle. Straight angles have a measurement of 180°. ∠AOB and ∠BOC make up ∠AOC. So this measn that when you add ∠AOB to ∠BOC, then they should have a sum of 180°.

m∠AOB + m∠BOC = 180°

m∠AOB = 3x + 142

m∠BOC = 6x + 29

Now, set up the equation.

3x + 142 + 6x + 29 = 180

9x + 171 = 180

9x = 9

x = 1

Now that we have the value of x, then we can find the measurement of ∠BOC.

m∠BOC = 6(1) + 29

m∠BOC = 35

So, the measurement of ∠BOC is 35°

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IQ scores are normally normally distributed with a mean of 100 and center deviation of 15 if one person is randomly selected wha

Arlecino [84]

Answer:

22.86% probability that the persons IQ is between 110 and 130

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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$\mu = 100, \sigma = 15$

If one person is randomly selected what is the probability that the persons IQ is between 110 and 130

This is the pvalue of Z when X = 130 subtracted by the pvalue of Z when X = 110.

X = 130

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{130 - 100}{15}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 110

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 100}{15}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486

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3 years ago

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melamori03 [73]

2 3/4a=19 1/4
÷2 3/4 ÷2 3/4
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Step-by-step explanation:

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We can see that the scale factor is same for all sides.

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Answer:

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