<span>I had the same question on my quiz
The answer is that The number could be 3 or any integer less than 3.</span>
        
                    
             
        
        
        
Answer:
The shaded area is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the large square minus the area of the two smaller squares
so

Calculate the shaded area
Remember that

substitute

 
        
             
        
        
        
Answer:
8.885
Step-by-step explanation:
Given that :
Sample size, n = 10
The average range, Rbar for all samples = 5
The upper control limit, UCL for the R-chart is :
UCL L= D4Rbar 
From the control chart constant table, D4 = 1.777
Hence, 
UCL = 1.777 * 5
UCL = 8.885
The UCL for the R-chart is 8.885
 
        
             
        
        
        
Answer:
(see image)
bottom right image
Explanation:
First try the origin (0,0) to rule out two of the graphs. 
3y ≥ x - 9 3(0) ≥ (0) - 9 
3 ≥ - 9  
yes 3x + y > - 3 3(0) + (0) > - 3
3 > - 3 
yes so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs. 
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa. 
Try point (4, 2)
3y ≥ x - 9 
3(2) ≥ (4) - 9
6 ≥  - 5 
yes3x + y > - 3 
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 
yesSo the graph is the bottom right one since (4, 2) is included in that shaded region.