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victus00 [196]
3 years ago
10

Fill in the missing work and justification for step 5 when solving 4(x + 1) - 8.

Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

multiplication property of equality

Step-by-step explanation:

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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
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Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
Find the volume of the figure.<br> A) 33 in^3 <br> B) 150 in^3 <br> C) 233 in^3 <br> D) 425 in^3
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