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Luba_88 [7]
2 years ago
7

If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?

Mathematics
1 answer:
bogdanovich [222]2 years ago
5 0

Answer:

55 degrees

Step-by-step explanation:

Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.

So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.

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The weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation
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Answer:

The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.

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We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

<u><em>Let X = weights of adult male birds of a certain species</em></u>

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The z score probability distribution for normal distribution is given by;

                                 Z = \frac{ X-\mu}{\sigma } }  ~ N(0,1)

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The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;

          <u>Z score</u> =  \frac{ X-\mu}{\sigma } } = \frac{ 29.37-27.5}{1.1 } }

                                    =  <u>1.7</u>

                       

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