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Data on tuition and mid-career salary are collected from a number of universities and colleges. The result of the data collectio

alexira [117]

Answer:

1. annual tuition 2. $-27139 3. slope = -0.91

Step-by-step explanation:

1. An independent variable is the factor that is not determined by the model in this case the annual tuition variable (the linear regression model factor)

2. substitute $30,000 into the linear regressions equation gives:

y = -0.91(30000) + 161 = -27139

This value tells us that when the annual tuition is $30,000 the average mid-career salary of graduates is predicted to be -$27,139

3. the slope if the regression is represented by the coefficient of the factor in the linear regression model. In this case, as the factor is x or the annual tuition, and the coefficient of this variable in the given example is -0.91 which in turn is the slope of the model.

8 0

4 years ago

Math help :) B and C are incorrect. Either A or D is correct. Please explain how you found your answer!

lubasha [3.4K]

The Answer is A because if you set it to a proportion you get 1 7/9

8 0

4 years ago

Read 2 more answers

How do you model a decimal using a fraction

stiks02 [169]

Okie dokie,
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or $\frac{5}{10}$
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
$\frac{1}{2}$ is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or $\frac{26}{100}$
You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

4 0

3 years ago

A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of

xxTIMURxx [149]

Answer:

The answer is below

Step-by-step explanation:

Let x be the diameter of the semicircle. radius = x/2

The window is a combination of a rectangle and semicircle.

Width of window = diameter = x, let length of the window = y.

Perimeter of semicircle = πr = πx/2

Perimeter of window = x + y + y + πx/2

20 = x + 2y + πx/2

2y + x + πx/2 = 20

2y = 20 - x(1 - π/2)

y = 10 - x(1 - π/2)/2

Area of semicircle = (1/2)πr² = (1/2)π(x/2)²

Area of window = xy + (1/2)π(x/2)²

A = x(10 - x(1 - π/2)/2) + πx²/8

A = 10x - x² - πx²/4 + πx²/8

A = 10x - x² - πx²/8

The maximum area is at dA / dx = 0

dA / dx = 10 - 2x - 2πx/8

0 = 10 - 2x - πx / 4

2x + πx / 4 = 10

2.785x = 10

x = 3.59 feet

Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8

Maximum area = 17.95 feet²

3 0

3 years ago

A 10-ounce container of chocolate chips can be used to make 3 desserts. Each dessert has the same amount of chocolate chips. Whi

Dahasolnce [82]

The answer is 10 ÷ 3 = 3.33

4 0

4 years ago

Read 2 more answers