Answer:
The probability is 
.
Step-by-step explanation:
There are 7 democrats and 6 republicans
Number of ways in which 4 democrats and 2 republicans can be selected=![\[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B4%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B2%7D%7D%5C%5D)
Number of ways in which 5 democrats and 1 republican can be selected= ![\[{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B5%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B1%7D%7D%5C%5D)
Number of ways in which 6 democrats can be selected = ![\[{}^{7}{{C}_{6}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B6%7D%7D%5C%5D)
So, favourable outcomes are ![\[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B4%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B2%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B5%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B1%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B6%7D%7D%5C%5D)
Total possible outcomes =![\[{}^{13}{{C}_{6}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B13%7D%7B%7BC%7D_%7B6%7D%7D%5C%5D)
Now, probability=![\[\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7BFavourable%7D%7BPossible%7D%3D%5Cfrac%7B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B4%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B2%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B5%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B1%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B6%7D%7D%7D%7B%7B%7D%5E%7B13%7D%7B%7BC%7D_%7B6%7D%7D%7D%3D0.383%5C%5D)
Learn more about probability:
brainly.com/question/2561151?referrer=searchResults
4/6
= (4/2) / (6/2) (divide both numerator and denominator by 2)
= 2/3
The final answer is 2/3~
i’m pretty sure the answer would be 1) linear :D
Answer:
12x + 2
Step-by-step explanation:
Let the number be represented by x.
Then five times the number = 5*x
Seven times the number = 7*x
Sum of 5 times the number minus -2 = ![\[5*x - (-2)\]](https://tex.z-dn.net/?f=%5C%5B5%2Ax%20-%20%28-2%29%5C%5D)
= ![\[5x +2\]](https://tex.z-dn.net/?f=%5C%5B5x%20%2B2%5C%5D)
Adding seven times the number to this expression yields, ![\[5x+2+7x\]](https://tex.z-dn.net/?f=%5C%5B5x%2B2%2B7x%5C%5D)
![\[= (5+7)x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%285%2B7%29x%2B2%5C%5D)
![\[= 12x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%2012x%2B2%5C%5D)
So the simplified expression corresponds to 12x + 2.
Decided by 12 is 2 your welcome
