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3 years ago

10

What is the slope of the line? -2 -1/2 1/2 2

1 answer:

vovikov84 [41]3 years ago

5 0

Answer:

$\large\boxed{m=-\dfrac{1}{2}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have the points (2, 3) and (4, 2). Substitute:

$m=\dfrac{2-3}{4-2}=\dfrac{-1}{2}=-\dfrac{1}{2}$

Other method.

Look at the picture.

$m=\dfrac{\Delta y}{\Delta x}$

$\Delta y=-1\\\\\Delta x=2$

Substitute:

$m=\dfrac{-1}{2}=-\dfrac{1}{2}$

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Step-by-step explanation:

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3 years ago

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

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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:

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

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

7 0

3 years ago

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crimeas [40]

Answer:

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Step-by-step explanation:

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3 years ago

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Mazyrski [523]

Answer:

Dan is correct

Step-by-step explanation:

From the question, we have:

$Hours:1\ 2\ 3\ 4\ 5$

Required

The average

The average hour is calculated using:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{1+2+3+4+5}{5}$

$\bar x = \frac{15}{5}$

$\bar x = 3$

<em>Dan calculated the mean as 3; while Bret calculated the mean as 4.</em>

<em>Hence, we can conclude that Dan s correct</em>

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3 years ago

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kotykmax [81]

Answer:

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Step-by-step explanation:

Hope this helped!

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3 years ago

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