Answer:
![P(1\ and\ 2) = 0.3309](https://tex.z-dn.net/?f=P%281%5C%20and%5C%202%29%20%3D%200.3309)
Step-by-step explanation:
Given
![Red = 3](https://tex.z-dn.net/?f=Red%20%3D%203)
![Blue = 4](https://tex.z-dn.net/?f=Blue%20%3D%204)
![Orange=10](https://tex.z-dn.net/?f=Orange%3D10)
Required
Probability of selecting 2 orange marbles
The total number of marbles is:
![Total = Red + Blue + Orange](https://tex.z-dn.net/?f=Total%20%3D%20Red%20%2B%20Blue%20%2B%20Orange)
![Total = 3 + 4 + 10](https://tex.z-dn.net/?f=Total%20%3D%203%20%2B%204%20%2B%2010)
![Total = 17](https://tex.z-dn.net/?f=Total%20%3D%2017)
The probability that the first selection is orange is:
![P(1) = \frac{10}{17}](https://tex.z-dn.net/?f=P%281%29%20%3D%20%5Cfrac%7B10%7D%7B17%7D)
Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.
So, the probability that the selection is orange is:
![P(2) = \frac{10-1}{17-1}](https://tex.z-dn.net/?f=P%282%29%20%3D%20%5Cfrac%7B10-1%7D%7B17-1%7D)
![P(2) = \frac{9}{16}](https://tex.z-dn.net/?f=P%282%29%20%3D%20%5Cfrac%7B9%7D%7B16%7D)
The required probability is:
![P(1\ and\ 2) = P(1) * P(2)](https://tex.z-dn.net/?f=P%281%5C%20and%5C%202%29%20%3D%20P%281%29%20%2A%20P%282%29)
![P(1\ and\ 2) = \frac{10}{17} * \frac{9}{16}](https://tex.z-dn.net/?f=P%281%5C%20and%5C%202%29%20%3D%20%5Cfrac%7B10%7D%7B17%7D%20%2A%20%5Cfrac%7B9%7D%7B16%7D)
![P(1\ and\ 2) = \frac{10*9}{17*16}](https://tex.z-dn.net/?f=P%281%5C%20and%5C%202%29%20%3D%20%5Cfrac%7B10%2A9%7D%7B17%2A16%7D)
![P(1\ and\ 2) = \frac{90}{272}](https://tex.z-dn.net/?f=P%281%5C%20and%5C%202%29%20%3D%20%5Cfrac%7B90%7D%7B272%7D)
![P(1\ and\ 2) = 0.3309](https://tex.z-dn.net/?f=P%281%5C%20and%5C%202%29%20%3D%200.3309)
Answer:
10x-6y-11
Step-by-step explanation:
3(3x+y) = 3(3) +×-3y=-2
9x + 3y = 9 + x -3y =-2
9x+x = -3y-3y =-2-9
10x = -6y =-11
10x-6y-11
Answer:
D) 20º
Step-by-step explanation:
if one angle is 70º, and the other is 90º, that means that the first two angles equal 160º. since all three interior angles of a triangle have to add up to 180º, the third angle must be 20º.
The answer is a 215
0.73
-------------------
645
15050
---------------------------
156.95 or app. 157