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Naya [18.7K]
3 years ago
8

What is vertical angles congruence theorem

Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0
This mean that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.
gizmo_the_mogwai [7]3 years ago
7 0
I don’t really know bro
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Step-by-step explanation:

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2 years ago
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
kramer

Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

n = 64 --- population

\mu = 20 --- population mean

\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

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So, we have:

\sigma_x = 2

\bar x = 20

x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

From the z table

P(z \le 0.50) = 0.69146

So:

P(x \le 21) = 0.69146

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A survey shower that 82% of adults need correction for their eyesight. If 18 adults are randomly selected, find the probability
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Step-by-step explanation:

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