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solong [7]
3 years ago
14

If two angles are supplementary, they must __________.

Mathematics
2 answers:
Veronika [31]3 years ago
7 0
If two angles are supplementary, their sum is 180º and they can be expressed as x and 180-x. If they are congruent ,then the two angles are equal: 
<span>x=180-x </span>
<span>2x=180 </span>
<span>x=90º and 180-x=90º 
</span><span> The 2 angles have to add to 180 degrees</span>

WARRIOR [948]3 years ago
6 0
Supplementary angles add up to 180
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1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)
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0.6826 = 68.26% probability that you have values in this interval.

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Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

X~N(8, 1.5)

This means that \mu = 8, \sigma = 1.5

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

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

Z = \frac{9.5 - 8}{1.5}

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0.6826 = 68.26% probability that you have values in this interval.

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3 years ago
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