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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Answer:
It takes 50 minutes to paint the whole box
Step-by-step explanation:
1. Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.
Wilson paints 40% of a bookcase in 20 minutes.
For the total box
40% = 20 minutes
100% = x
40 × x = 100 × 20
x = 100 × 20/40
x = 50 minutes
Answer:
x = 1
Step-by-step explanation:
Given:
We are asked to solve for x when the function is equal to zero.
<u>We should have</u>: 0 = -4x + 4
<u>Solve</u>
1. Subtract 4 from both sides
0 - 4 = -4x + 4 - 4
-4 = -4x
2. Divide both sides by -4
-4 ÷ -4 = -4x ÷ 4
1 = x
Answer:
Step-by-step explanation:
1) Eliminate parentheses:
0.1x +18.8 = -4 +2x
22.8 = 1.9x . . . . . . . . . add 4 - 0.1x
12 = x . . . . . . . . . . . . . divide by 1.9
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2) Eliminate parentheses:
-16 +4x = 0.8x +12.8
3.2x = 28.8 . . . . . . . . add 16 - 0.8x
x = 9 . . . . . . . . . . . . . .divide by 3.2
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<em>Comments on the solutions</em>
The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...
variable term = constant
We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.
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You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.
4/3
explanation : just write it in fraction form