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Vaselesa [24]
3 years ago
15

A rectangular region is removed from another rectangular region to create the shaded regions shown below. Find the combined area

of the
shaded regions
Syd
yd
16 yd

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer:

50 yards

Step-by-step explanation:

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7 0
3 years ago
A car starts on a trip and travels at an average speed of 50 miles per hour. Two hours later, a second car starts on the same tr
umka21 [38]

The distance traveled by first car is 50t + 100.

The distance traveled by second car is 70t.

The distance between the two cars after time, t is d = 100 - 20t.

The ratio of the distance traveled by the cars is (70t) / (50t + 100).

<h3>Distance traveled by each vehicle is calculated as follows;</h3>

The distance traveled by each vehicle at the given time is calculated as follows;

<h3>Distance traveled by first car</h3>

D₁ = speed x time

D₁ = 50(t + 2)

D₁ = 50t + 100

<h3>Distance traveled by the second car</h3>

D₂ = 70t

<h3>Distance between the two cars after time, t</h3>

d = D₁ - D₂

d = (50t + 100) - 70t

d = 100 - 20t

<h3>Ratio of the distance traveled by the cars</h3>

D₂/D₁ = (70t) / (50t + 100)

Learn more about distance traveled by a vehicle here: brainly.com/question/6504879

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7 0
1 year ago
The correlation coefficient r between the values assumed by two variables, X
Flura [38]

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

b = 0.98

<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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It would be letter. b....
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