Answer: Probability that Box A was chosen given that black marble is chosen is 0.5.
Step-by-step explanation:
Since we have given that
Number of boxes = 2
In Box A,
Number of black marbles = 1
Number of white marbles = 3
In Box B,
Number of black marbles = 2
Number of white marbles = 4
Since black marble is selected.
So, using Bayes theorem , we get that
Hence, probability that Box A was chosen given that black marble is chosen is 0.5.
Answer:
The angle measures approximately
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
Then, for our case we get a starting equation that reads:
and for which we need to solve for . Then we use the arctangent function to get the final answer:
(1, 1), (4, -25)
<h3>Step-by-step explanation:</h3>You can evaluate the function to see.
f(-1) = -3^(-1-1)+2 = -3^(-2)+2 = -1/9 +2 ≠ 2
f(1) = -3^(1-1) +2 = -1 +2 = 1
f(0) = -3^(0-1) +2 = -1/3 +2 ≠ 0
f(4) = -3^(4 -1) +2 = -27 +2 = -25
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Or, you can graph the points and the curve.
