Answer:
F(-6) = <u>2*(-6) + 1</u>
             5*(-6) -2
= <u>-11  </u>
   -32
=   <u>11     </u>
       32
 
        
                    
             
        
        
        
Answer: - 0.28
Explanation:
1) Expected value: is the weighted average of the values, being the probabilities the weight.
That is: ∑ of prbability of event i × value of event i.
In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).
2) Sample space:
Sum              Points awarded
     
1+ 1 = 2              +6
1 + 2 = 3             +2
1 + 3 = 4             -1 
1 + 4 = 5             -1
1 + 5 = 6             -1
1 + 6 = 7             -1
2 + 1 = 3             +2
2 + 2 = 4             -1
2 + 3 = 5             -1
2 + 4 = 6             -1
2 + 5 = 7             -1
2 + 6 = 8             -1
3 + 1 = 4             -1
3 + 2 = 5             -1
3 + 3 = 6             -1
3 + 4 = 7             -1
3 + 5 = 8             -1
3 + 6 = 9             -1
4 + 1 = 5             -1
4 + 2 = 6             -1
4 + 3 = 7             -1
4 + 4 = 8            -1
4 + 5 = 9            -1
4 + 6 = 10          -1
5 + 1 = 6            -1
5 + 2 = 7            -1
5 + 3 = 8            -1
5 + 4 = 9            -1
5 + 5 = 10          -1
5 + 6 = 11          +2
6 + 1 = 7            -1
6 + 2 = 8            -1
6 + 3 = 9            -1
6 + 4 = 10          -1
6 + 5 = 11          +2
6 + 6 = 12          +6
2) Probabilities
From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points
3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
        
                    
             
        
        
        
2880 books
Divide 1920 by 40
Then multiply the number by 2
You will get 96 
Then multiply it by 30
        
             
        
        
        
Answer:76.9 pounds
Step-by-step explanation: you subtract 5.5 pounds from the 82.4 pounds to get your answer
 
        
                    
             
        
        
        
Answer:
636.4 in³  
Step-by-step explanation:
Volume of a cone is given by:
 
 
where r is the radius of the base of the cone and h is its height.
It is given that, the radius of the base of the cone is, r = 8 in
The height of the cone is, h = 9.5 
 
 
Thus, the volume of the cone is 636.4 in³