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Andrei [34K]
3 years ago
13

What is the image point of (1,-1)(1,−1) after a translation left 4 units and down 5 units?

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

Answer:

The new point would be (-3,-6)

Step-by-step explanation:

To solve this it is nice to graph the first point at (1,-1). Then move the point left 4 units, making x -3. and then 5 units down, which would make y -6.

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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random
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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
Who needs help<br> because im here tp help im 19
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Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme
aleksklad [387]

From the given table, the points can be written as : (6,7.55) , (12,7.85), (18, 8.15) and (24, 8.45)

Slope m=\frac{_{y2}-_{y1}}{_{x2}-_{x1}}

m = \frac{7.85-7.55}{12-6}

m = 0.05

slope intercept form of line = y=mx+c

We plug m = 0.05, x = 6 and y = 7.55 and find c.

7.55=0.05(6)+c

c= 7.25

Required equation: y=0.05x+7.25 ... Answer

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3 years ago
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