Answer: Ina fraction it could just be 2/9 in a decimal it is 0.22222222222
Step-by-step explanation: with the fraction 2 divided by nine is 2/9 simple as that. When you have a nine like that in the denominator take whatever number is the numerator, put 0 and a decimal point, and then just repeatedly press whatever the numerator is. Except for 9/9 then you just say 1. Hope this helped.
Answer:
A
Step-by-step explanation:
96 divide by 12 is 8 and 12 divided by 12 is 1
Answer:
0.756
Step-by-step explanation:
It is given that a machine has four components, A, B, C, and D.
![P(A)=P(B)=0.93, P(C)=0.95,P(D)=0.92](https://tex.z-dn.net/?f=P%28A%29%3DP%28B%29%3D0.93%2C%20P%28C%29%3D0.95%2CP%28D%29%3D0.92)
If these components set up in such a manner that all four parts must work for the machine to work properly.
We need to find the probability that the machine works properly. It means we have to find the value of
.
If two events X and Y are independent, then
![P(X\cap Y)=P(X)\times P(Y)](https://tex.z-dn.net/?f=P%28X%5Ccap%20Y%29%3DP%28X%29%5Ctimes%20P%28Y%29)
Assume the probability of one part working does not depend on the functionality of any of the other parts.
![P(A\cap B\cap C\cap D)=P(A)\times P(B)\times P(C)\times P(D)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%5Ccap%20C%5Ccap%20D%29%3DP%28A%29%5Ctimes%20P%28B%29%5Ctimes%20P%28C%29%5Ctimes%20P%28D%29)
Substitute the given values.
![P(A\cap B\cap C\cap D)=0.93\times 0.93\times 0.95\times 0.92](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%5Ccap%20C%5Ccap%20D%29%3D0.93%5Ctimes%200.93%5Ctimes%200.95%5Ctimes%200.92)
![P(A\cap B\cap C\cap D)=0.7559226](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%5Ccap%20C%5Ccap%20D%29%3D0.7559226)
![P(A\cap B\cap C\cap D)\approx 0.756](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%5Ccap%20C%5Ccap%20D%29%5Capprox%200.756)
Therefore, the probability that the machine works properly is 0.756.
Let's simplify step-by-step.
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