Answer:

Step-by-step explanation:
We have been given that

We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes - 

And g(x) can be written as

Thus, we have

On cancelling the common factors, we get

Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
Answer:
Triangle and square!
Step-by-step explanation:
Let me know if im wrong and I will fix it.
Yes the distributive property is used to expand expressions, but it is also used to make it simpler.
For an example
3(x+4) + 3(y-8)
This is the same thing as
3x + 12 + 3y -8
the answer is true while a major arc reaches out past 180 and up to 360