80 tickets have been given out
50*.4=20
50*.6=30
30*2=60
60+20=80
Expected value E(x) = 0.9994(150000 - 181) = 0.9994 x 149819 = $149,729.11
A nice riddle, mathematical riddle.
Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one. In this context, the turtle winner is the one who has a lesser number of favourable votes.
The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.
Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.
On polling day, the vote count came out as follows (in point counts)
Henry Tim
2 1
2 1
2 1
2 1
2 1
2 1
10 1 (Henry's own vote)
1 100 (Tim's own vote)
------------------
17 107 TOTAL POINTS
So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.
Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.
Answer:
There will be No solution for the equation 
. Option B is correct.
Step-by-step explanation:
We need to determine how many solutions the equation have.
Solving the equation and finding the solutions
Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.
Simplifying
Solving the equation we get 0=9 which is false. So, there will be No solution for the equation . Option B is correct.
