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slamgirl [31]
4 years ago
9

17. MODELING WITH MATHEMATICS The data

Mathematics
1 answer:
Ksenya-84 [330]4 years ago
6 0

Answer:

Average annual tuition is $16991 for the year 2020.

Step-by-step explanation:

By using excel for the equation of the line of best fit,

Slope of the line from given data = 380.0286

y - intercept of the line = 11290.1

Therefore, equation of the regression line will be,

y = 380.0286x + 11290.1

Where x = number of years after 2005

Now we have to calculate the average annual tuition in the  year 2020,

By substituting the value of x = 2020 - 2005

                                                 = 15 years

y = 380.0286×(15) + 11290.1

y = 16990.529

  ≈ 16991

Therefore, average annual tuition is $16991 for the year 2020.

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What is the length of segment AB with point A and B located at (-4, 1) and (2, 9)
navik [9.2K]

Answer:

<h3>The answer is 10 units</h3>

Step-by-step explanation:

The distance between two points or a line segment can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 1) and (2, 9)

The length of segment AB is

|AB|  =  \sqrt{ ({ - 4 - 2})^{2}  +  ({1 - 9})^{2} }  \\  =  \sqrt{( { - 6})^{2}  +   ({ - 8})^{2} }  \\  =  \sqrt{36 + 64}  \\  =  \sqrt{100}  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 10 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>10 units</h3>

Hope this helps you

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Step-by-step explanation:

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