In the long run, you will lose $1 per game.
To find the expected value of this game, we have to multiply the chances by each prize. Then, add up all the possibilities.
(1/6) x $12 + (1/3) x $3 + (1/2) x $8
2 + 1 - 4 = -1
On average, you will lose $1 per game.
Answer:
1/8.
Step-by-step explanation:
Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.
Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1
= 1 / [ 2 * (16 - x)^1/2
Derivative of the denominator = 1
When x approaches 0 this is 1 / (2*4)
= 1/8.
Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2
This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)
= 1 / (4 + (16 + x)^1/2
When x ---> 0
this = 1 /(4 + 4)
= 1/8.
Answer:
X = 9
Step-by-step explanation:
Well if you add 90 and 33 together, you get 123. 180 is what all sides of the triangle is supposed to add up to so you'd subtract 123 from 180 which would give you 57.
15 plus 57 gives you 72. What's 72 divided by 8? 9.
You just have to work backwards here.
How do you want us to put it?
