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Brrunno [24]
3 years ago
9

A line has slope 5/6 and y-intercept −3.

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

Answer: A. y=5/6x-3


Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept


I'm almost 100% sure this is right.

azamat3 years ago
4 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have

m=\dfrac{5}{6},\ b=-3

Substitute:

\boxed{y=\dfrac{5}{6}x-3}

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lapo4ka [179]

Answer:65

Step-by-step explanation:

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3 years ago
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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random
Katen [24]

Answer:

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

Step-by-step explanation:

Given

n = 200

x_1 = 34 -- City C

x_2 = 54 --- City K

Required

Determine the 90% confidence interval

This is calculated using:

CI = \bar x \± z\frac{\sigma}{\sqrt n}

Calculating \bar x

\bar x = \bar x_1 - \bar x_2

\bar x = \frac{x_1}{n} - \frac{x_2}{n}

\bar x = \frac{34}{200} - \frac{54}{200}

\bar x = 0.17 - 0.27

For a 90% confidence level, the ​z-score is 1.65.  So:

z = 1.65

Calculating the standard deviation \sigma

\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }

So:

\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }

\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}

So:

CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

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3 years ago
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c

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90% confidence interval with a z value of 1.645

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Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

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<span>= 179 ± 1.645 (0.596284794)</span>

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4 years ago
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