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satela [25.4K]
3 years ago
6

in the xy-coordinate plane, the points (4, 2) and (-1, k) are on a line that is perpendicular to the line y = 2x + 1. What is th

e value of k?
Mathematics
2 answers:
mart [117]3 years ago
7 0

Answer: The value of x is 7/5

Advocard [28]3 years ago
4 0
The value of x is 5/7
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A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
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Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly select
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Answer:

The point estimate of this proportion is \pi = 0.5857

The 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them is (0.5584, 0.6130).

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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For this problem, we have that:

n = 1255, \pi = \frac{735}{1255} = 0.5857

The point estimate of this proportion is \pi = 0.5857

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}} = 0.5857 - 1.96\sqrt{\frac{0.5857*0.4143}{1255}} = 0.5584

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5857 + 1.96\sqrt{\frac{0.5857*0.4143}{1255}} = 0.6130

The 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them is (0.5584, 0.6130).

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Answer:

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