Answer:
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Step-by-step explanation:
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System of Equations
For the problem to solve we'll use the following variables:
x = number of the early bird tickets sold
y = number of the regular tickets sold
Haley sold a total of 20 tickets, thus:
x + y = 20 [1]
Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:
10x + 15y = 225
Dividing by 5:
2x + 3y = 45 [2]
We have to solve the system of equations [1] and [2].
Multiply [1] by -2:
-2x - 2y = -40 [3]
Add [3] to [2]:
-2x - 2y +2x + 3y = -40 + 45
Simplifying:
y = 5
Substituting in [1]:
x + 5 = 20
Subtracting 5:
x = 20 - 5
x = 15
Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets
The order pair solution is (15,5)
Using the model equation, the predicted mean score on the final given a score of <em>10 points above the class mean</em> in the mid term exam is 50.7
<u>The Least - Square Regression equation which models the relationship between midterm and final exam score is</u> :
x = 10 points ; <u>substitute the value of x = 10 into the regression equation</u> ;
γ=46.6 + 0.41(10)
γ=46.6 + 4.1
γ = 50.7
The <em>number of points above the mean</em> he'll score in the final exam is predicted to be 50.7
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