Answer:
about 16 times bigger
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
1) 
2) 
3) 
And the variance would be given by:
![Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89](https://tex.z-dn.net/?f=Var%20%28M%29%3D%20E%28M%5E2%29%20-%5BE%28M%29%5D%5E2%20%3D%20207.1%20-%2813.9%5E2%29%3D%2013.89)
And the deviation would be:
 
 
4) 
And the variance would be given by:
![Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56](https://tex.z-dn.net/?f=Var%20%28J%29%3D%20E%28J%5E2%29%20-%5BE%28J%29%5D%5E2%20%3D%20194.8%20-%2811.8%5E2%29%3D%2055.56)
And the deviation would be:
 
 
Step-by-step explanation:
For this case we have the following distributions given:
Probability  M   J
0.3           14%  22%
0.4           10%    4%
0.3           19%    12%
Part 1
The expected value is given by this formula:

And replacing we got:

Part 2

Part 3
We can calculate the second moment first with the following formula:

And the variance would be given by:
![Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89](https://tex.z-dn.net/?f=Var%20%28M%29%3D%20E%28M%5E2%29%20-%5BE%28M%29%5D%5E2%20%3D%20207.1%20-%2813.9%5E2%29%3D%2013.89)
And the deviation would be:
 
 
Part 4
We can calculate the second moment first with the following formula:

And the variance would be given by:
![Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56](https://tex.z-dn.net/?f=Var%20%28J%29%3D%20E%28J%5E2%29%20-%5BE%28J%29%5D%5E2%20%3D%20194.8%20-%2811.8%5E2%29%3D%2055.56)
And the deviation would be:
 
 
 
        
             
        
        
        
Answer:
 or
 or 
Step-by-step explanation:
The lateral area of a cylinder is calculated by the following formula

Where r is the radius of the right cylinder and h is the height
In this case we know that the diameter d of the cylinder is


Therefore the lateral area is:



 
        
                    
             
        
        
        
Yes, I'm getting C also!
Since it's asking for the left-endpoint Riemann Sum, you will only be using the top left point as the height for each of your four boxes, making -1, -2.5, -1.5, and -0.5 your heights. The bases are all the same length of 2. You don't include f(8) because you're not using right-endpoints, and that would also add another 5th box that isn't included in the 0 to 8 range.
        
                    
             
        
        
        
Answer:
1. b.
2. a.
3. b.
4. d.
5. a.
6. b.
7. c.
8. b.
9. b.
10. c.
11. a.
12. b.
13. a.
14. c.
Step-by-step explanation:
7 + 3 = 10
+ 679 - 2056 = -1377
- 398 + 1 = -397
-23 - 237 = 260
2 - 6 = -4
-2 × 3 × -4 = 24
absolute value of -36 = 36
6 + 4 = 10
- 5928 - 965 = -6893
215 × 212 + 212 × 314 = 112148
(15 + 5) ÷ (15 + 5) = 20 ÷ 20 = 1
-457 + 1 = -456
- 218 -1 = -219