Answer:
57
Step-by-step explanation:
The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is
![4 * \frac{1}{2} + 20 * \frac{1}{4} + 200 * \frac{1}{4} = 57](https://tex.z-dn.net/?f=%204%20%2A%20%5Cfrac%7B1%7D%7B2%7D%20%2B%2020%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20200%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20%3D%2057%20)
Make each a ratio, and set them equal to each other.
Larger rectangle = 3/5
smaller rectangle = x/3
3/5 = x/3
cross multiply
3/5(5)(3) = x/3(3)(5)
3(3) = x(5)
9 = 5x
Isolate the x, divide 5 from both sides
9/5 = 5x/5
x = 9/5
x = 1.8
1.8 in. is your answer
hope this helps
Answer:
I hurried wat
Step-by-step explanation:
wAT
I have more problems then this.
Answer: Oblique Asymptotes: y = 2 x/ e^1.5
Step-by-step explanation: Find the asymptotes
brainliest or a thank you pls <33 :)