Answer:
The following graph has no solution.
Step-by-step explanation:
Since , we are given a system of inequalities as:
x+y>4
and x+y<3
So from the two in equalities we could clearly see that in one the sum of x+y>4 while in the other the sun x+y<3 which is not possible.
This could also be seen from the graph.
The graph will not have any common region and are parallel lines.
Hence, the graph has no solution.
Answers:
P(A) = 7/12
P(B) = 1/2
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Explanation:
To see how I calculated P(A), check out this link to this very similar question
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Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
