Answer:
bc
Step-by-step explanation:
2:9 is equivalent to 
18: 81 because is 2*9 : 9*9
12:54 because is 2*6 : 9* 6
  
        
             
        
        
        
The given equation is the best line that approximates the linear 
relationship between the midterm score and the score in the final exam.
- AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. <u>E. None of these</u>.
Reasons:
The given linear regression line equation is;  = 25.5 + 0.82·
 = 25.5 + 0.82·
Where;
 = Final exam score;
 = Final exam score;
 = The midterm score;
 = The midterm score;
AJ score in the first test,  = 90
 = 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score,  = 25.5 + 0.82 × 90 = 99.3
 = 25.5 + 0.82 × 90 = 99.3
- The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E; 
Learn more about regression line equation here:
brainly.com/question/9339658
brainly.com/question/7361586
brainly.com/question/14747095
 
        
             
        
        
        
Is 10 and 15 because they both have a value of .909
        
             
        
        
        
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is 
(x - x^2)^2 * sqrt(3)/4. 
Integrating from x = 0 to x = 1, we have 
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4 
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144. 
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...