Answer:
<em>" Expected Payoff " - $ 12.30</em>
Step-by-step explanation:
Consider the steps below;
![Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\](https://tex.z-dn.net/?f=Total%20Number%20of%20Tickets%20-%20200%20Tickets%2C%5C%5CTickets%20Entered%20-%201%20Ticket%2C%5C%5C%5C%5CProportion%20-%201%20%2F%20200%5C%5C%5C%5CAmount%20Won%20%28%20First%20%29%20%3D%20980%20Dollars%2C%5C%5CAmount%20Won%20%28%20Second%20%29%20%3D%20950%20Dollars%2C%5C%5CAmount%20Won%20%28%20Third%20%29%20%3D%20270%20Dollars%2C%5C%5CAmount%20Won%20%28%20Fourth%20%29%20%3D%20260%20Dollars%5C%5C%5C%5CProportionality%20%28%20First%20%29%20-%201%20%2F%20200%20%3D%20x%20%2F%20980%2C%5C%5CProportionality%20%28%20Second%20%29%20-%201%20%2F%20200%20%3D%20x%20%2F%20950%2C%5C%5CProportionality%20%28%20Third%20%29%20-%201%20%2F%20200%20%3D%20x%20%2F%20270%2C%5C%5CProportionality%20%28%20Fourth%20%29%20-%201%20%2F%20200%20%3D%20x%20%2F%20260%2C%5C%5C%5C%5C1%20%2F%20200%20%3D%20x%20%2F%20980%2C%5C%5C200%20%2A%20x%20%3D%20980%2C%5C%5Cx%20%3D%204.90%2C%5C%5C%5C%5C)
![1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3](https://tex.z-dn.net/?f=1%20%2F%20200%20%3D%20x%20%2F%20950%2C%5C%5C200%20%2A%20x%20%3D%20950%2C%5C%5Cx%20%3D%204.75%2C%5C%5C%5C%5C1%20%2F%20200%20%3D%20x%20%2F%20270%2C%5C%5C200%20%2A%20x%20%3D%20270%2C%5C%5Cx%20%3D%201.35%2C%5C%5C%5C%5C1%20%2F%20200%20%3D%20x%20%2F%20260%2C%5C%5C200%20%2A%20x%20%3D%20260%2C%5C%5Cx%20%3D%201.3)
![Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30](https://tex.z-dn.net/?f=Conclusion%20%3B%20%22%20Expected%20Payoff%20%22%20%3D%204.90%20%2B%204.75%20%2B%201.35%20%2B%201.3%20%3D%2012.30)
Answer:
Option C. ![(x+3)^2=13](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%3D13)
Step-by-step explanation:
we have
![x^2+6x-4=0](https://tex.z-dn.net/?f=x%5E2%2B6x-4%3D0)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![x^2+6x=4](https://tex.z-dn.net/?f=x%5E2%2B6x%3D4)
Complete the square. Remember to balance the equation by adding the same constants to each side
![x^2+6x+3^2=4+3^2](https://tex.z-dn.net/?f=x%5E2%2B6x%2B3%5E2%3D4%2B3%5E2)
![x^2+6x+9=13](https://tex.z-dn.net/?f=x%5E2%2B6x%2B9%3D13)
Rewrite as perfect squares
![(x+3)^2=13](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%3D13)
The answer is D.
If you multiply them all together the answer (without simplifying), it should equal 210/9, you then simplify the numerator and denominator by 3 and you get 70/3.
10(32-n) if you need it simplified then 320 - 10n