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
Answer:
f(2) =-5
Step-by-step explanation:
We want to find the value of the function when x =2
When x=2 the y value is -5
f(2) =-5
You would multiply the cups of flour by 3 and the cups of water by 3. which would give you 9 cups of flour and 6 cups of water. the ratio is 1.5 cups of flour to 1 cup of water.
We know that
case a)the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.
Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1
Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1
the answer isa=1/9case b)the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h,
where (h, k) is the vertex.
Using our vertex, we have:
x=a(y+1)²+2,
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2
the answer isa=3
see the attached figure
