Answer:
Look below
Step-by-step explanation:
Sigma (summation) and Pi (product) notation are used in mathematics to indicate repeated addition or multiplication
![\pi](https://tex.z-dn.net/?f=%5Cpi)
Hope this helps
Answer:
0.0158 = 1.58% probability that all of them are under 18.
Step-by-step explanation:
Probability of independent events:
If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:
![P(A \cap B \cap C) = P(A)P(B)P(C)](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%20%5Ccap%20C%29%20%3D%20P%28A%29P%28B%29P%28C%29)
The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.
This means that ![P(A) = 0.235, P(B) = 0.258, P(C) = 0.26](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.235%2C%20P%28B%29%20%3D%200.258%2C%20P%28C%29%20%3D%200.26)
If one person is selected from each city, what is the probability that all of them are under 18?
Since the three people are independent:
![P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%20%5Ccap%20C%29%20%3D%200.235%2A0.258%2A0.26%20%3D%200.0158)
0.0158 = 1.58% probability that all of them are under 18.
Im not sure if you wrote this wrong because (x+y)2 does equal x2+y2. An example would be if x equals 3 and y equals 4 (3+4)2=(3)2+(4)2 (7)2=6+8 14=14.
In order to solve this problem, we must solve an equation.
First, we need to define our unknown.
Let's call our number "n".
So, the sum of the number and 6 is the same as saying n+6
Then we need to multiply it by 2 (since it's twice the sum)
2(n+6)
This whole thing is equal to three times of the difference of the number and 8
n-8 is equal to the difference between the number and 8, then we need to multiply it by three.
3(n-8)
now, we set both sides equal and solve
![2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n](https://tex.z-dn.net/?f=2%28n%2B6%29%3D3%28n-8%29%5C%5C2n%2B12%3D3%28n-8%29%5C%5C2n%2B12%3D3n-24%5C%5C12%3Dn-24%5C%5C36%3Dn)
The number is 36
<span>3.1415926535897932384626</span>