What is 4/5 + 2/5 =?
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In Exercise, solve the equation.ex– 1 = 9
Find all possible values for A, B and C+ABABAB-----------CCCEach letter represents a single digit from 9 to 0
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Answer:
The probability that a randomly selected non-defective product is produced by machine B1 is 11.38%.
Step-by-step explanation:
Using Bayes' Theorem
P(A|B) =
where
P(B|A) is probability of event B given event A
P(B|a) is probability of event B not given event A
and P(A), P(B), and P(a) are the probabilities of events A,B, and event A not happening respectively.
For this problem,
Let P(B1) = Probability of machine B1 = 0.3
P(B2) = Probability of machine B2 = 0.2
P(B3) = Probability of machine B3 = 0.5
Let P(D) = Probability of a defective product
P(N) = Probability of a Non-defective product
P(D|B1) be probability of a defective product produced by machine 1 = 0.3 x 0.01 = 0.003
P(D|B2) be probability of a defective product produced by machine 2 = 0.2 x 0.03 = 0.006
P(D|B3) be probability of a defective product produced by machine 3 = 0.5 x 0.02 = 0.010
Likewise,
P(N|B1) be probability of a non-defective product produced by machine 1 = 1 - P(D|B1) = 1 - 0.003 = 0.997
P(N|B2) be probability of a non-defective product produced by machine 2 = 1 - P(D|B2) = 1 - 0.006 = 0.994
P(N|B3) be probability of a non-defective product produced by machine 3 = 1 - P(D|B3) = 1 - 0.010 = 0.990
For the probability of a finished product produced by machine B1 given it's non-defective; represented by P(B1|N)
P(B1|N) = =
= 0.1138
Hence the probability that a non-defective product is produced by machine B1 is 11.38%.
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Answer:
d
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Final answer:
The equation of the line passing through (1,1) and (-5,6) is y - 1 = -5/6(x - 1).
Explanation:
To find the equation for the line passing through the points (1, 1) and (-5, 6) in point-slope form, we need to calculate the slope and use one of the given points. The slope, denoted by 'm', can be calculated as the change in y divided by the change in x. Substituting the values (1, 1) and (-5, 6) into the slope formula, we get m = (6 - 1) / (-5 - 1) = 5 / -6 = -5/6. Using the point-slope form, y - y1 = m(x - x1), we can substitute the slope and one of the given points to obtain the equation of the line.
Using the point (1, 1), we substitute x1 = 1 and y1 = 1 into the equation. This gives us y - 1 = -5/6(x - 1).
Therefore, the equation of the line that passes through the points (1, 1) and (-5, 6) in point-slope form is y - 1 = -5/6(x - 1).
Learn more about Equation of a Line here:
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Answer:
(8, -1)
General Formulas and Concepts:
Algebra I
- Reading a coordinate plane
- Coordinates (x, y)
- Solving systems of equations by graphing
Step-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations. The systems of equations intersect at (8, -1).
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Answer:
-6n + 5 = 59
-6n = 54
n = -9
Answer: n = -9
Step-by-step explanation: you subtract the 5 from both sides leaving the equation to -6n=54. then you divide both sides by -6 leaving it with n = -9