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SVETLANKA909090 [29]
1 year ago
10

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. E

xplain all steps and identify the properties used. 3a - 4 < 5 ►
Mathematics
1 answer:
Naily [24]1 year ago
3 0
\begin{gathered} 3a-4

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If TRAP is an isosceles trapezoid, what is the value of X?
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Step-by-step explanation:

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2 years ago
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A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sam
Julli [10]

Answer:

There is not enough evidence to support the claim that union membership increased.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 12.5% = 0.125

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.125\\H_A: p > 0.125

The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

This is a one-tailed(right) test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.125}{\sqrt{\frac{0.125(1-0.125)}{400}}} = 0.3023

Now, we calculate the p-value from the table.

P-value = 0.3812

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that union membership increased.

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Point (, ) is dilated from the origin by scale factor = . What are the coordinates of point ′?
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