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DerKrebs [107]
4 years ago
8

Jack rolls 6 sided number cube labeled 1-6 twice. to the nearest hundredth, what is the probability that the first roll is 4 and

the second roll is an even number
Mathematics
2 answers:
stich3 [128]4 years ago
7 0

|\Omega|=6^2=36\\ |A|=1\cdot3=3\\\\ P(A)=\dfrac{3}{36}=\dfrac{1}{12}\approx8.3\%

Dennis_Churaev [7]4 years ago
6 0
The probability is 0.08.

The probability that the first roll is a 4 is 1/6, since there is one 4 out of six total possibilities.
The probability that the second roll is an even number is 3/6, since there are 3 even numbers out of 6 possibilities.

Together, we have 1/6(3/6) = 3/36 = 0.08
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Which are the maximum values ? I will add a picture please help
Alik [6]

Answer:

58 at the point (9,8)

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Step-by-step explanation:

The maximum points will be found in the vertices of the region.

Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.

The vertices found are:

(1, 10)

(1, 1)

(9, 5)

(9, 8)

We look for the values of x and y belonging to the region, which maximize the objective function f(x, y) = 2x + 5y. Therefore we look for the vertices with the values of x and y higher.

(1, 10), (9, 5), (9, 8)

Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)

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The point that maximizes the function is:

(9, 8) with f(9, 8) = 58

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