X and Y are supplementary, that means X + Y = 180. 
But we have, X  = Y +24, then
X + Y = Y + 24 + Y = 2Y + 24 = 180
Then
2Y = 156
Y = 78
Then X = 78 + 24 = 102.
 
        
             
        
        
        
Answer:
a) r = 0.974
b) Critical value = 0.602
Step-by-step explanation:
Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below
Test A | 64 48 51 59 60 43 41 42 35 50 45 
Test B |  91 68 80 92 91 67 65 67 56 78 71 
To find - (a) What is the value of the linear coefficient r ?
              (b) Assuming a 0.05 level of significance, what is the critical value ?
Proof -
A)
r = 0.974
B)
Critical Values for the Correlation Coefficient 
n       alpha = .05          alpha = .01 
4           0.95                       0.99 
5           0.878                     0.959 
6           0.811                       0.917 
7           0.754                      0.875
8           0.707                      0.834
9           0.666                      0.798
10          0.632                      0.765
11           0.602                      0.735
12          0.576                       0.708
13          0.553                       0.684
14           0.532                       0.661
So,
Critical r = 0.602 for n = 11 and alpha = 0.05
 
        
             
        
        
        
G'Day mate! Here's the answer:
53 1/3
1. 6(3 + 6) - 4/5
2. 6 x 3 is 18, and 6 x 8 is 48
3. 18 plus 48 is 66
4. 66 - 4/5 = 266/5
5. 266/5 as mixed number is 53 1/5
 
        
                    
             
        
        
        
Answer:
7 drinks
Step-by-step explanation:
7x1.75=12.25
4 x 2.25= 9
added - 21.25
 
        
             
        
        
        
The answer would be 14.586 feet, or rounded up to 14.6 feet.