Answer:-5
Step-by-step explanation:
 
        
             
        
        
        
Answer:
If it is less than 3, Player 1 earns 3 points. 
If not, Player 2 earns 2 points.
Step-by-step explanation:
<u>Player 1</u> :
p(N < 3) = p(N = 1 or N = 2) = 2/5
<u>Player 2</u> :
p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5 
<u>We notice that</u> :
p(N < 3) × 3 = (2/5) × 3 = 6/5
On the other hand,
p(N ≥ 3) × 2 = (3/5) × 2 = 6/5
since ,the probability player 1 win multiplied by the associated number of points (3) 
is equal to 
the probability player 2 win multiplied by the associated number of points (2).
Then the game is fair.
 
        
                    
             
        
        
        
Let D be the endpoint of the angle bisector opposite A on lying on side BC. The angle bisector theorem states that the ratio of BD to CD is equal to the ratio of AB to AC. In this case, you have

(This is the same equation that you have, it's just rearranged.)
Multiply both sides by 

 and 15.


Now you can solve for 

.


 
        
             
        
        
        
Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields 
(2x+x)/2=489.....use inverse operations to yield 
2x+x=978
Combine like terms to get
3x=978
Then divide by 3
To give you x=326
What does x tell you?
X= harry = 326
2x = Smith = 652
To check add them together and divide by 2 to get the average....489