Answer:
0.75
Step-by-step explanation:
Answer: you actually already have the answer I would show work but that’s too much typing but trust. 733.04
Step-by-step explanation:
Answer:
- 1.25 ( approx )
Step-by-step explanation:
Given,
Total tickets = 1172,
In which every ticket costs $ 2, also, three prizes will be awarded 1 for $ 500, 1 for $250 and 1 for $125.
![\because \text{Probability}=\frac{\text{Number of favourable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Cbecause%20%5Ctext%7BProbability%7D%3D%5Cfrac%7B%5Ctext%7BNumber%20of%20favourable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
Thus, we can make a table that represents the given situation,
Number of tickets 1 1 1 1169
Probability of ticket 1/1172 1/1172 1/1172 1169/1172
Price of ticket $ 500 $ 250 $ 125 - $ 2
( Note : Negative sign shows the loss, i.e. if we could not get any price then we have a loss of $ 2 )
Thus, the expected value of a ticket
![=\frac{1}{1172}\times 500+\frac{1}{1172}\times 250+\frac{1}{1172}\times 125+\frac{1169}{1172}\times -2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B1172%7D%5Ctimes%20500%2B%5Cfrac%7B1%7D%7B1172%7D%5Ctimes%20250%2B%5Cfrac%7B1%7D%7B1172%7D%5Ctimes%20125%2B%5Cfrac%7B1169%7D%7B1172%7D%5Ctimes%20-2)
![=\frac{500}{1172}+\frac{250}{1172}+\frac{125}{1172}-\frac{2338}{1172}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B500%7D%7B1172%7D%2B%5Cfrac%7B250%7D%7B1172%7D%2B%5Cfrac%7B125%7D%7B1172%7D-%5Cfrac%7B2338%7D%7B1172%7D)
![=-1.24829351536](https://tex.z-dn.net/?f=%3D-1.24829351536)
![\approx -1.25](https://tex.z-dn.net/?f=%5Capprox%20-1.25)
I got -10
1. create two ordered pairs based on the data so (1, 90) and (3, 70)
2. plug into the slope formula so (70 - 90)/(3 - 1)
then it's -20/2, which is -10