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
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
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
![P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.02%2A0.43%20%2B%200.015%2A0.57%20%3D%200.01715)
Probability a unit is defective and from manufacturer A:
2% of 43%. So
![P(A \cap B) = 0.02*0.43 = 0.0086](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.02%2A0.43%20%3D%200.0086)
What is the probability that it came from manufacturer A?
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0086}{0.01715} = 0.5015](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D%20%3D%20%5Cfrac%7B0.0086%7D%7B0.01715%7D%20%3D%200.5015)
0.5015 = 50.15% probability that it came from manufacturer A.
Answer:
(x +1) (x + 5)
Step-by-step explanation:
Factorization of x²+6x+5
To factorise this quadratic expression we'll find 2 factors of 5 that when added gives the coefficient of x which is
Factors = +1 and +5
Sum = +6, product = +5
Rewriting equation
x² + x + 5x + 5
Factorising
x ( x +1) +5 ( x + 1)
(x +1) (x + 5)
I hope this was helpful, please mark as brainliest
*The missing image is attached with the answer*
The correct answer is:
Height = h =5 unitsExplanation:a = 6 = Smaller base
b = 10 = Larger base
h = height
Area = A = (a + b)h/2 = 40
Plug in the values in the above equation:
h = (2*40)/(6+10)
h = 5 units
33% times 90 would be $29.7