Answer:
The answer is "0.00088"
Step-by-step explanation:
Many ways of selecting r articles of n,![\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}](https://tex.z-dn.net/?f=%5Cto%20%5EnC_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28r%21%20%5Ctimes%20%28n-r%29%21%29%7D)
P(wins the player) = ![\frac{1}{\text{Any combinations of possible numbers}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Ctext%7BAny%20combinations%20of%20possible%20numbers%7D%7D)
![= \frac{1}{^{20} C_3}\\\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B%5E%7B20%7D%20C_3%7D%5C%5C%5C%5C)
![= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B%5Cfrac%7B20%21%7D%7B%283%21%5Ctimes%2017%21%29%7D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B1140%7D%5C%5C%5C%5C%3D%200.00088)
Answer:
Jason multiplied 1.5 by the whole number 10.
Step-by-step explanation:
As opposed to multiplying 1.5 by the tenth power, in which Jason would've received 57.66503..., he multiplied 1.5 by 10 units, resulting in a product of 150.
Hope this helps!
Answer:
27. 16/28. 48/29. 12/30. 33.3333333333
Step-by-step explanation:
Answer:
there is nothing here
Step-by-step explanation:
Make one of the variables drop out.
I'd go for the y since it's easiest in this problem.
Time the top equation by -1.
This changes the system to:
![2x + - y = 1](https://tex.z-dn.net/?f=2x%20%2B%20-%20y%20%3D%201)
![- 4x + y = - 1](https://tex.z-dn.net/?f=%20-%204x%20%2B%20y%20%3D%20-%201)
Add the equations.
![2x + - 4x = - 2x](https://tex.z-dn.net/?f=2x%20%2B%20-%204x%20%3D%20-%202x)
![- y + y = 0](https://tex.z-dn.net/?f=%20-%20y%20%2B%20y%20%3D%200)
![1 + - 1 = 0](https://tex.z-dn.net/?f=1%20%2B%20-%201%20%3D%200)
The equation would be:
![- 2x + 0 = 0](https://tex.z-dn.net/?f=%20-%202x%20%2B%200%20%3D%200)
Or simply:
![- 2x = 0](https://tex.z-dn.net/?f=%20-%202x%20%3D%200)
Solve for x by dividing.
![x = 0 \div - 2](https://tex.z-dn.net/?f=x%20%3D%200%20%5Cdiv%20-%202)
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
Then, plug x into one of the original equations to find y.
I'm going to use the first one since the numbers are smaller, but you CAN use either.
![- 2(0) + y = 1](https://tex.z-dn.net/?f=%20-%202%280%29%20%2B%20y%20%3D%201)
![0 + y = 1](https://tex.z-dn.net/?f=0%20%2B%20y%20%3D%201)
![y = 1](https://tex.z-dn.net/?f=y%20%3D%201)
Put these into an ordered pair.
(0,1)
That is your answer.
Hope this helped!
:)