Hello from MrBillDoesMath!
Answer:
Choice B.
Discussion:
From the first step
324 x^6 y^ 8 =
2^2 * 3^4 * x^2 * x^4* y^8
so the fourth root of this is
2 ^(2/4)* 3^(4/4) x^(2/4)* x^(4/4)*y^(8/4) =
2^ (1/2) * 3^1 * x^(1/2) * x^(1)* y^ (2) =
(2x)^(1/2) * 3 * x * y^2 =
3 * x * y^2 * sqrt(2x) =
3 * x * y^2 * ( (2x)^2) ^ (1/4)) =
3 * x * y^2 * (4x^2) ^ (1/4)
which is choice B
Thank you,
MrB
Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So

Probability a unit is defective and from manufacturer A:
2% of 43%. So

What is the probability that it came from manufacturer A?

0.5015 = 50.15% probability that it came from manufacturer A.
4 because 48 divided 2 equals 24 adn 24 divided by 6 equals 4
Answer:
There will be $22,800 left after 6 years
Step-by-step explanation:
4% every year after 6 years = 24% be taken out of 30,000
24% of 30,000 = 7200 so you'll have 22,800 left.