Answer:
6xy(2x²-3y)
Step-by-step explanation:
factorized completely
Answer:
how do you do this type of stuff I wanna learn so I can start to help other people
Answer:
look at the explanation
Step-by-step explanation:
in order to create a f(-2) you would need to know either a table of values or an equation to plug values into . . .saying a function of -2 does not really help, sorry
X = -4/3
Hope this helps ,
Give thanks !
Answer:
The probability that the sample will contain exactly 0 nonconforming units is P=0.25.
The probability that the sample will contain exactly 1 nonconforming units is P=0.51.
.
Step-by-step explanation:
We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.
We can write the probability mass function as:
![P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B%5Cbinom%7BK%7D%7Bk%7D%5Cbinom%7BN-K%7D%7Bn-k%7D%7D%7B%5Cbinom%7BN%7D%7Bn%7D%7D)
where k is the number of non-conforming units on the sample of n=4.
We can calculate the probability of getting no non-conforming units (k=0) as:
![P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%5Cfrac%7B%5Cbinom%7B3%7D%7B0%7D%5Cbinom%7B9%7D%7B4%7D%7D%7B%5Cbinom%7B12%7D%7B4%7D%7D%3D%5Cfrac%7B1%2A126%7D%7B495%7D%3D%5Cfrac%7B126%7D%7B495%7D%20%3D%200.25)
We can calculate the probability of getting one non-conforming units (k=1) as:
![P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51](https://tex.z-dn.net/?f=P%28x%3D1%29%3D%5Cfrac%7B%5Cbinom%7B3%7D%7B1%7D%5Cbinom%7B9%7D%7B3%7D%7D%7B%5Cbinom%7B12%7D%7B4%7D%7D%3D%5Cfrac%7B3%2A84%7D%7B495%7D%3D%5Cfrac%7B252%7D%7B495%7D%20%3D%200.51)