Many states conduct lotteries; a typical lottery payoff ticket is shown here. Assume there are 20 numbers chosen from a set of 80 possible numbers. What is the expectation for a three-spot game? Assume that the ticket cost $1. Please, round your answer to the nearest cent.
3 SPOT GAMEMATCHPRIZE32$40$2?
$__________
Fill in the blank(s) with the appropriate word(s).
0.17
Mathematics
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Graph the solution set on a number line.{x|-4 < x < 0}
A. 
B. 
C. 
D. 
Mathematics
Find the value of (f ? g)' at the given value of x.f(u) = 
, u = g(x) = 3x - x2, x = 1
A. 1
B. - 1
C. - 
D. 
Mathematics
Use the given transformation to evaluate the integral. src="https://sciemce.com/media/4/ppg__10615191636__f1q27g7.jpg" alt="" style="vertical-align: -4.0px;" />
Rwhere R is the trapezoid with vertices at 
A. 
sin 1
B. 
sin 1
C. 
sin 2
D. 
sin 2
Mathematics
Find all values of ? in [0°, 360°) that satisfy the equation.sin ? = - 
A. 45°, 315° B. 135°, 225° C. 225°, 315° D. 45°, 225°
Mathematics