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Solnce55 [7]
3 years ago
10

In Northern Michigan the

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer: 15 degrees

Step-by-step explanation:

Write an equation

-13+x=2

Simplify the equation and solve for X

x=15

So 15 degrees

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Using the normal distribution, the area underneath the shaded region <u>between the two z-scores</u> is given by:

C. 0.6766.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Hence, for this problem, the area is the <u>p-value of z = 0.75 subtracted by the p-value of z = -1.3</u>.

Looking at the z-table, the p-values are given as follows:

  • z = 0.75: 0.7734.
  • z = -1.3: 0.0968.

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

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