Answer:
x = 1?
Step-by-step explanation:
I think functions are basically just variables but extra so they both act the same. I'm not 100% sure but I Think
if f(x) = -5x + 1 when f(x) = 6,
replace f(x) with 6 so,
6 = 5x + 1
1 - 6 = 5x + 1 - 1
(subtract one on both sides to isolate the variable)
5 = 5x
5/5 = 5x/5
(to Actually isolate the variable lol
1 = x or x = 1
I believe is the answer? please comment if I'm wrong
*I WAS TOLD MY THOUGHT PROCESS IS WRONG ANYONE WHO SEES THIS PLEASE DISREGARD
The answer is 1432 x 54 = 77,328
16/5 is roughly equal to 3.2. Is that what your are asking?
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
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.
Random voting:
So 50% of voting yes, 50% no, so ![p = 0.5](https://tex.z-dn.net/?f=p%20%3D%200.5)
15 members:
This means that ![n = 15](https://tex.z-dn.net/?f=n%20%3D%2015)
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
![p = P(X = 0) + P(X = 15)](https://tex.z-dn.net/?f=p%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%2015%29)
In which
![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 = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20C_%7B15%2C0%7D.%280.5%29%5E%7B0%7D.%280.5%29%5E%7B15%7D%20%3D%200.00003)
![P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003](https://tex.z-dn.net/?f=P%28X%20%3D%2015%29%20%3D%20C_%7B15%2C15%7D.%280.5%29%5E%7B15%7D.%280.5%29%5E%7B0%7D%20%3D%200.00003)
So
![p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006](https://tex.z-dn.net/?f=p%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%2015%29%20%3D%200.00003%20%2B%200.00003%20%3D%200.00006)
0.006% probability that the final vote count is unanimous.
Answer:
It's 81
Step-by-step explanation:
2^5 is 2*2*2*2*2 or 32
7^2 is 7*7 or 49
Add them together... 81