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Katen [24]
3 years ago
7

What is the slope of a line perpendicular to the line y = 1/5x - 3

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

-5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

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3 years ago
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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

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

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

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p = 0.1

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.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

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

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

\sqrt{n} = 14.7

(\sqrt{n})^{2} = (14.7)^{2}

n = 216

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

7 0
3 years ago
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X is equal to 12
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3 years ago
2x-2y= 14 standard to slope and intercept form
valina [46]

Answer:

hhhci

Step-by-step explanation:

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3 years ago
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schepotkina [342]

Answer:

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Step-by-step explanation:

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