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adell [148]
3 years ago
14

Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer

the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Find the linear approximation of the data that passes through the points (5, 3) and (20, 6).
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

Linear approximation is given by: y = \frac{x}{5}+2

Step-by-step explanation:

We are given the following information in the question:

Number of citations:      5      7.5      10      15       20

 Outputs Residuals:       3       6       10       5          6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)

where, (x_1,y_1), (x_2.y_2) is the point through which the line passes.

The equation of line is:

(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2

The above equation is the required linear approximation.

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3 years ago
What is the slope of (0,2) and (-8,-8)?
Doss [256]

Answer: 1.25

Step-by-step explanation:

Step 1: Slope is calculated as y2 - y1/ x2 - x1

Step 2: identify the coordinates, from the stated question, y2 = -8; y1= 2

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Step 3: slot in the values into the formula

slope= -8 - 2/ -8 - 0

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slope= 1.25

3 0
3 years ago
An African elephant weighs 2 tons. How many pounds are in a herd with 26 elephants?
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4 0
2 years ago
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erastovalidia [21]
The correct answer for this question is this one: "
Calculation:
<span>50*.64 + 85*.4= 66</span>

The statement shown above is a topic under Statistics and Probability. As it was said that 
<span>The conditional relative frequency table was generated using data that compares the number of voters in the last election and whether or not they worked on election day. Fifty people who voted and 85 people who did not vote were chosen at random and surveyed.
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There exists the same question from other source:
How many people in the survey worked on election day?

32
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Hope this helps answer your question and have a nice day ahead.
3 0
3 years ago
Read 2 more answers
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FinnZ [79.3K]

Answer:

The ball reaches a height of 29.25 ft after 1.125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

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29.25 feet

6 0
3 years ago
Read 2 more answers
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