Answer:
all work is shown and pictured
Need help with number 33
1 answer:
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Answer with Step-by-step explanation:
Since we have given that
a. f: ℝ → ℝ given by f(x) = x + 2
Domain would be all real numbers i.e. (-∞, ∞)
Range would be all real numbers i.e. (-∞, ∞)
b. g: ℝ → ℝ given by g(x) = √x − 1
Domain would be all positive numbers i.e. [0,∞)
Range would be [-1,∞)
c. f(g(x))
Domain would be [0,∞)
Range would be [3,∞)
d. g(f(x))
Domain would be [-2,∞)
Range would be (0,∞)
Answer:
4.4722
Step-by-step explanation:
The following table shows the 36 elements of the sample space of the experiment
From this table we can compute the probabilities :
P(X = 1) = 1/36
P(X = 2) = 3/36
P(X = 3) = 5/36
P(X = 4) = 7/36
P(X = 5) = 9/36
P(X = 6) = 11/36
So the expected value equals
1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =
= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =
4.4722