Total intoxicated driver = 96 + 40 = 136
P(both intoxicated driver) = 136/179 x 135/178 = 0.5762
Answer:
<em>" Expected Payoff " - 17 Dollars ; Type in 17</em>
Step-by-step explanation:
Consider the probability of landing in an odd section;
![Sections of the Wheel - 20 Sections,\\Numbers Numbered On the Wheel - 1 To 20,\\\\Odd Numbers = Even Numbers,\\Odd Numbers = 20 / 2 = 10,\\Even Numbers = Odd Numbers = 10,\\\\Probability of Spinning Even - 10 / 20 = ( Simplified ) 1 / 2,\\Money Won = 34 Dollars,\\\\Proportionality - 1 / 2 = x / 34, Where, x = " Expected Payoff "\\1 / 2 = x / 34,\\2x = 34,\\x = 17 Dollars,\\\\Conclusion ; " Expected Payoff " = 17 Dollars](https://tex.z-dn.net/?f=Sections%20of%20the%20Wheel%20-%2020%20Sections%2C%5C%5CNumbers%20Numbered%20On%20the%20Wheel%20-%201%20To%2020%2C%5C%5C%5C%5COdd%20Numbers%20%3D%20Even%20Numbers%2C%5C%5COdd%20Numbers%20%3D%2020%20%2F%202%20%3D%2010%2C%5C%5CEven%20Numbers%20%3D%20Odd%20Numbers%20%3D%2010%2C%5C%5C%5C%5CProbability%20of%20Spinning%20Even%20-%2010%20%2F%2020%20%3D%20%28%20Simplified%20%29%201%20%2F%202%2C%5C%5CMoney%20Won%20%3D%2034%20Dollars%2C%5C%5C%5C%5CProportionality%20-%201%20%2F%202%20%3D%20x%20%2F%2034%2C%20Where%2C%20x%20%3D%20%22%20Expected%20Payoff%20%22%5C%5C1%20%2F%202%20%3D%20x%20%2F%2034%2C%5C%5C2x%20%3D%2034%2C%5C%5Cx%20%3D%2017%20Dollars%2C%5C%5C%5C%5CConclusion%20%3B%20%22%20Expected%20Payoff%20%22%20%3D%2017%20Dollars)
<em>Solution ; Provided Directly Above</em>
Step by step:
first you need to plug in the x into the equation
-5(4)-18-7(4)
now you solve
-20-18-28
which equals
-66
Answer:
234 ounces for 26 people
Step-by-step explanation:
45/5 = 9 ounces per person
(9)(26) = 234 ounces for 26 people
First we set up 2 equations using the given info
let standard ornaments = s & deluxe ornaments = d
![s + d = 18](https://tex.z-dn.net/?f=s%20%2B%20d%20%3D%2018)
![10s + 15d = 200](https://tex.z-dn.net/?f=10s%20%2B%2015d%20%3D%20200)
first we solve for one variable in our first equation
![s = 18 - d](https://tex.z-dn.net/?f=s%20%3D%2018%20-%20d)
then we plug it into our second equation
![180 - 10d + 15d = 200](https://tex.z-dn.net/?f=180%20-%2010d%20%2B%2015d%20%3D%20200)
![5d = 20](https://tex.z-dn.net/?f=5d%20%3D%2020)
![d = 4](https://tex.z-dn.net/?f=d%20%3D%204)
now plug this back into our first equation
![s + 4 = 18](https://tex.z-dn.net/?f=s%20%2B%204%20%3D%2018)
![s = 14](https://tex.z-dn.net/?f=s%20%3D%2014)
standard ornaments ordered = 14
deluxe ornaments ordered = 4