Answer:
0.1197 = 11.97% probability that exactly 10 of the 12 individuals favor building the health center
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
66% of the community favored building a health center in their neighborhood.
This means that ![p = 0.66](https://tex.z-dn.net/?f=p%20%3D%200.66)
12 citizens
This means that ![n = 12](https://tex.z-dn.net/?f=n%20%3D%2012)
What is the probability that exactly 10 of the 12 individuals favor building the health center?
This is P(X = 10).
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 10) = C_{12,10}.(0.66)^{10}.(0.34)^{2} = 0.1197](https://tex.z-dn.net/?f=P%28X%20%3D%2010%29%20%3D%20C_%7B12%2C10%7D.%280.66%29%5E%7B10%7D.%280.34%29%5E%7B2%7D%20%3D%200.1197)
0.1197 = 11.97% probability that exactly 10 of the 12 individuals favor building the health center
The answer is: J - 3.08 pounds
Answer:
I can't show you all of the work but you can use this to find the answer
https://www.mathsisfun.com/geometry/circle-theorems.html
Answer:
b
Step-by-step explanation:
bc when you add the last 2 numbers (on the bottom) you get 8568 but then u have to add find the decimal places which would be 2 so it is b, 85.68
Answer:
127/20
Step-by-step explanation:
4×(20/20) + (3/4)×(5/5) + (8/5)×(4/4)
= (80/20) + (15/20) + (32/20)
= 127/20
Got it??