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natali 33 [55]
1 year ago
5

The SAT and ACT exams are often used to predict a student's first-term college grade point average (GPA). Different formulas are

used for different colleges and majors. Suppose that a student is applying to a university with an intended major in civil engineering. Also suppose that for this college and this major, the following model is used to predict first term GPA.
GPA= a+ b(ACT)
a= 0.4
b= 0.3

Requried:
a. In this context, what would be the appropriate interpretation of the value of a?
b. In this context, what would be the appropriate interpretation of the value of b?
Mathematics
1 answer:
spayn [35]1 year ago
8 0

Answer:

In this example it seems that "a" is a fixed value that is added to adjust the scale value. . It seems that "b" is a factor that adjust the value of the ACT score as a predictor for success in the chosen field of study.

Step-by-step explanation: The scores from the SAT and ACT are not in the same format as GPA. So the scale needs adjustment. Also the tests measure different knowledge and skills. They may be more or less reliable as predictors of success in a given field of study, so the "b" factor would change for different majors.

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If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2
erica [24]
Hello,

y=5+3*cos (2(x-π/3))

The function is periodic with periode=2π.


-1<=cos (2(x-π/3))<=1
==>-1*3<=3*cos (2(x-π/3))<=3*1
==>5-3<=5+3cos(2(x-π/3))<=5+3
==>2<= y<=8


8 0
1 year ago
Match the following guess solutions ypyp for the method of undetermined coefficients with the second-order nonhomogeneous linear
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

1 ) Given that

(d^2y/dx^2) + 4y = x - x^2 + 20\\\\ (d^2y/dx^2) + 4y =  - x^2 + x + 20

For a non homogeneous part - x^2 + x + 20 , we assume the particular solution is

y_p(x) = Ax^2 + Bx + C

2 ) Given that

d^2y/dx^2 + 6dy/dx + 8y = e^{2x}

For a non homogeneous part   e^{2x} , we assume the particular solution is

y_p(x) = Ae^{2x}

3 ) Given that

y′′ + 4y′ + 20y = −3sin(2x)

For a non homogeneous part −3sin(2x) , we assume the particular solution is

y_p(x) =  Acos(2x)+Bsin(2x)

4 ) Given that

y′′ − 2y′ − 15y = 3xcos(2x)

For a non homogeneous part  3xcos(2x)  , we assume the particular solution is

y_p(x) = (Ax+B)cos2x+(Cx+D)sin2x

4 0
1 year ago
Every year the United States Department of Transportation publishes reports on the number of alcohol related and non-alcohol rel
Damm [24]

Complete question:

The line graph relating to the question was not attached. However, the line graph has can be found in the attachment below.

Answer:

17,209

Step-by-step explanation:

The line graph provides information about alcohol-related highway fatalities between year 2001 to 2010.

Determine the average number of alcohol-related fatalities from 2001 to 2006. Round to the nearest whole number.

The average number of alcohol related fatalities between 2001 - 2006 can be calculated thus :

From the graph:

Year - - - - - - - - - - Number of fatalities

2001 - - - - - - - - - - 17401

2002 - - - - - - - - -  17525

2003 - - - - - - - - -  17013

2004 - - - - - - - - - 16694

2005 - - - - - - - - - 16885

2006 - - - - - - - - - 17738

To get the average :

Sum of fatalities / number of years

(17401 + 17525 + 17013 + 16694 + 16885 + 17738) / 6

= 103256 / 6

= 17209.333

Average number of alcohol related fatalities is 17,209 (to the nearest whole number)

6 0
2 years ago
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
notka56 [123]

Options

  • (A)g(5) = 12
  • (B)g(1) = -2
  • (C)g(2) = 4
  • (D)g(3) = 18

Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

  1. The value(s) of x must be between -1 and 4
  2. The values of g(x) must be between 0 and 18.
  3. g(-1)=2
  4. g(2)=9

We consider the options and state why they are true or otherwise.

<u>Option A: g(5)=12</u>

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

<u>Option B: g(1) = -2 </u>

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

<u>Option C: g(2) = 4 </u>

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

<u>Option D: g(3) = 18</u>

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

3 0
2 years ago
The formula P = 0.68x2 - 0.048x + 1 models the approximate population P, in thousands, for a species of fish in a local pond, x
marshall27 [118]

Answer:

The answer to your question is 2184

Step-by-step explanation:

Data

Equation    P(x) = 0.68x² - 0.048x + 1

x = years

population = 33984

Process

1.- Substitute the population in the equation

                   33984 = 0.84x² - 0.048x + 1

2.- Equal to zero

                   0.84x² - 0.048x + 1 - 33984 = 0

3.- Simplify

                    0.84x² - 0.048x - 33983 = 0

4.- Solve for x

x = \frac{0.048 +- \sqrt{(0.048^{2}) - (4)(0.84)(-33982)}}{2(0.84)}

x = \frac{0.048 +- \sqrt{337.9}}{1.68}

x1 = 201.2

x2 = -201.2

Only x1 is correct because time can not be negative

5.- Calculate the year

Year = 1997 + 201

Year = 2184

8 0
1 year ago
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