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8_murik_8 [283]
2 years ago
7

A plane travels at a constant speed. It takes 7 hours to travel 3,780 miles. What is the plane’s speed in miles per hour.

Mathematics
1 answer:
tia_tia [17]2 years ago
4 0

Answer:

540 mph

Step-by-step explanation:

3780/7 = 540 mph

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The correlation coefficient r between the values assumed by two variables, X
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The slope of the line of best fit to the raw-score scatter plot is 0.98

  • The equation is y = 0.98x - 3.74
  • The value of y given that x = 12 is 8.02

<h3>How to determine the slope of the line?</h3>

From the question, we have the following parameters that can be used in our computation:

  • Standard deviations of X, Sx = 1.88
  • Standard deviations of Y, Sy =2.45
  • Correlation coefficient, r between X and Y = 0.75

The slope (b) of the line is calculated as

b = r * Sy/Sx

Substitute the known values in the above equation, so, we have the following representation

b = 0.75 * 2.45/1.88

Evaluate

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<h3>The equation of the line of best fit</h3>

A linear equation is represented as

y = bx + c

Where

Slope = b

y-intercept = c

In (a), we have

b = 0.98

So, we have

y = 0.98x + c

Recall that the point (13, 9) is on the line of best fit.

So, we have

9 = 0.98 * 13 + c

This gives

9 = 12.74 + c

Evaluate

c = -3.74

So, we have

y = 0.98x - 3.74

<h3>The value of y from x</h3>

Here, we have

x = 12

So, we have

y = 0.98 x 12 - 3.74

Evaluate

y = 8.02

Read more about line of best fit at

brainly.com/question/1564293

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Natalie had 20 lbs. of cat food. If she feeds
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