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prohojiy [21]
3 years ago
8

Is (0,0) a solution of the system y>x and x+y>0?

Mathematics
1 answer:
olga55 [171]3 years ago
8 0
Plug the values (x,y)=(0,0) into the inequalities:

y\ \textgreater \ x \\
0\ \textgreater \ 0 \\
not \ true \\ \\
x+y\ \textgreater \ 0 \\
0+0\ \textgreater \ 0 \\
0\ \textgreater \ 0 \\
not \ true

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.

The answer is D.
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Using the binomial distribution, it is found that the expected values are given by:

a) 120.

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<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at brainly.com/question/24863377

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Step-by-step explanation:

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