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Jlenok [28]
4 years ago
12

How do you solve this ??

Mathematics
1 answer:
jok3333 [9.3K]4 years ago
8 0
Hi there!

If the lines are parallel, Angles 1 and 2 would have to be congruent because they are corresponding angles. Therefore, to solve, all we need to do is set the values of the angles equal to each other because the angles are congruent.

WORK:
20 - 8x = 30 - 16x
-8x = 10 - 16x
8x = 10
x = 1.25

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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3 years ago
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A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

p_{0}: 0.35

and the standard deviation σ = \sqrt{p_{0} *(1-p_{0}) } =\sqrt{0.35 *0.65 } ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z=\frac{X-p_{o} }{\frac{s}{\sqrt{N} } } where

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  • p_{0} is the proportion in null hypothesis (0.35)
  • s is the standard deviation (0.4770)
  • N is the sample size (300)

putting the numbers in the formula:

z=\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } } = 3.9945

<u>c. Does the z statistic seem like a particularly large or small value?</u>

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0
3 years ago
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