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.
This is how I find the GCF.
I find the prime factors.
63/3 = 21
21/3 = 7
7/7 = 1
81/3 = 27
27/3 = 9
9/3 = 3
3/3 = 1
Then I find the common prime factors:
63: 3 x 3 x 7
81: 3 x 3 x 3 x 3
Then I multiply the common prime factors:
3 x 3 = 9
The GCF for 63 and 81 (number 3) is 9.
I bet you can use this method for all the other GCFs! :)
For this one, find the prime factors like before, and if there aren't any besides one, then it's a prime number.
75/3 = 25
25/5 = 5
5/5 = 1
The prime factorization for 75 is 3 x 5 x 5
(I don't know the answer to 7, 8, 9, 10, 11, 12, 25, or 26, sorry!)
Answer:
x = 13.9
Step-by-step explanation:
With respect to the angle shown, we have the hypotenuse (the side opposite the 90 degree angle) and we have the adjacent side (which is the side labeled x). thus we can use the ratio "cosine" to solve this.
<em>The ratio of cosine is defined as:</em>

Where adjacent and hypotenuse are the respective sides and
is the angle
<em>Thus, we can now write:</em>

The first answer choice is right, x = 13.9
Answer: Yes, In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x.
Answer:
The equation is y = 3/5x - 6
Step-by-step explanation:
First we have to find the slope of the line. In order to do so, solve the first equation for y.
3x - 5y = 7
-5y = -3x + 7
y = 3/5x + 7/-5
This gives us a slope of 3/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.
y - y1 = m(x - x1)
y - -6 = 3/5(x - 0)
y + 6 = 3/5x
y = 3/5x - 6