Answer:
1000(1/20000) +
300(2/20000) +
10(20/20000) +
=
 
1800/20000 = .09
Step-by-step explanation:
Each ticket purchased is expected to win 9 cents
 
Each ticket purchased cost 75 cents
 
If you interpret expected winnings per ticket to include the cost then each ticket is expected to lose 66 cents. 
 
        
             
        
        
        
Answer:
4
Explanation:
The amplitude of a sine function is the absolute value of the coefficient of sin(in other words, the absolute value of the number multiplying the sin)
In this case, that is |-4|=4
        
             
        
        
        
(42 - 14sqrt2)/5 because rationalizing means getting the root out of the denominator, which is done by multiplying the denominator by a negative or positive root depending on the situation
        
             
        
        
        
The answer should be answer A. (A,C,D,K)
You can easily figure this out by just looking at the graph.  Just look at all points that are in the blue region(overlapping shaded area) and see all the points inside. 
H is not included because it falls on the dotted line.  Any point that falls on a dotted line does not satisfy both inequalities.
If the line were solid however, then the point would satisfy both inequalities.  This is because the line would include the <em>greater than or equal to</em> symbol "≥" which means that the point <em>could</em> equal to 8 or be less than 8.  Since the symbol is not used, it doesn't satisfy both equations.