Answer:
0.545 = 54.5% probability that it came from machine A
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Defective.
Event B: Coming from machine A.
Machine A is responsible for 30%
This means that 
10% of the output from machine A is defective
This means that 
Probability of being defective:
Machine A is responsible for 30%. Of those, 10% are defective.
Machine B is responsible for 20%. Of those, 5% are defective.
Machine C is responsible for 100 - (30+20) = 50%. Of those, 3% are defective. Then
Finally:
0.545 = 54.5% probability that it came from machine A
Answer:
C. There are infinitely many solutions.
Step-by-step explanation:
3x – 6 < 3x + 13
Subtract 3x from each side
-6 < -13
This inequality is always true.
There are infinitely many solutions.
Answer:
Society of the world to make this year the best ever friend a person could hope for a good friend of mine and her family is a great place to work and to be able to enjoy the world of
Answer:
3 5/6
Step-by-step explanation:
I used a calculator on calculator soup it basically has every calculator
Answer:
<u>3.7</u>
Step-by-step explanation:
<u>Given</u>
- sin²θ + cos²θ = 1
- sinθ = 0.27
<u>Solving for cos</u>θ
- cos²θ = 1 - sin²θ
- cos²θ = 1 - (0.27)²
- cos²θ = 0.0729
<u>Finding tan</u>θ
- tanθ = sinθ / cosθ
- tanθ = 0.27 / 0.0729
- tanθ = <u>3.7</u>
<u>Verifying it lies in the range</u>
- θ = tan⁻¹ (3.7)
- θ = 74.88°
- Range is : 0 < θ < π/2 [or 0 < θ < 90°]
- It lies in the range [Verified]
