Answer:
The statement that cushion A is twice as popular as cushion B cannot be verified
Step-by-step explanation:
From the question we are told that:
Sample size n=38
Type a size A 
Type a size B  
  
Generally the probability of choosing cushion A P(a) is mathematically given by


Generally the equation for A to be twice as popular as B is mathematically given by

Therefore Hypothesis

Generally the equation normal approx of p value is mathematically given by



Therefore from distribution table


Therefore there is no sufficient evidence to disagree with  the Null hypothesis 
Therefore the statement that cushion A is twice as popular as cushion B cannot be verified
 
        
             
        
        
        
Answer:
AOE = 138, EOD = 48
Step-by-step explanation:
Since AD is the diameter of the circle and goes through the middle 
angle AOE + angle EOD  = 180
Solving the equation (x + 138) + ( x+ 48) = 180
We get x = 0.
 
        
             
        
        
        
<h3>
Answer:</h3>
- y = -(x -3)² +3 . . . . (agrees with your answer)
- see the attachment for a graph
<h3>
Step-by-step explanation:</h3>
Factoring the leading -1 from the first two terms, we have ...
... y = -(x² -6x) -6
Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...
... y = -(x² -6x +9) -6 +9
... y = -(x -3)² +3
 
        
        
        
Answer:
a) 
90% confidence interval for the mean grading time of all composition papers. 
(12.47981 , 13.52019) 
b)
Appropriate inequality 
The interval is  ( 12.47981 < μ < 13.52019)
Step-by-step explanation:
<u><em>Explanation</em></u>:-
a) 
Given sample size 'n' = 40
Mean of the sample = 13 minutes 
standard deviation = 2 min
level of significance = 0.10 or 90%
90% confidence interval for the mean grading time of all composition papers. 

  
( 13 - 0.52019 , 13 + 0.52019)
(12.47981 , 13.52019) 
b) 
The interval is  ( 12.47981 < μ < 13.52019)