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Elis [28]
3 years ago
10

The line that represents the equation y=8x−1 contains the point (k, 5). Find k.

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

k = \frac{3}{4}

Step-by-step explanation:

Substitute x = k and y = 5 into the equation and solve for k

5 = 8k - 1 ( add 1 to both sides )

6 = 8k ( divide both sides by 8 )

k = \frac{6}{8} = \frac{3}{4}

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Answer:

The lower bound for a 90% confidence interval is 0.2033

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.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 40361, \pi = \frac{8337}{40361} = 0.2066

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So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

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\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033

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3 years ago
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