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Alecsey [184]
3 years ago
12

Given two functions f(x)=2x+4 and g(x)=−1/5x−3 , what is the function rule for (f+g)(x) ?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

The definition is pretty simple:

(f+g)(x) = f(x)+g(x)

So, we only have to sum the expressions:

f(x)+g(x) = 2x+4 - \dfrac{1}{5}x-3 = \dfrac{9}{5}x+1

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2 years ago
A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
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Answer:

a) 0.4770

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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.

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3 years ago
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No

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Please mark brainlest

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