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tankabanditka [31]
3 years ago
7

A single​ 6-sided die is rolled twice. the set of 36 equally likely outcomes is​ {(1,1), (1,2),​ (1,3), (1,4), left parenthesis

1 comma 5 right parenthesis comma left parenthesis 1 comma 6 right parenthesis comma left parenthesis 2 comma 1 right parenthesis comma left parenthesis 2 comma 2 right parenthesis comma ​(2,3), (2,4),​ (2,5), (2,6),​ (3,1), (3,2),​ (3,3), (3,4),​ (3,5), (3,6),​ (4,1), (4,2),​ (4,3), left parenthesis 4 comma 4 right parenthesis comma left parenthesis 4 comma 5 right parenthesis comma left parenthesis 4 comma 6 right parenthesis comma left parenthesis 5 comma 1 right parenthesis comma left parenthesis 5 comma 2 right parenthesis comma ​(5,3), (5,4),​ (5,5), (5,6),​ (6,1), (6,2),​ (6,3), (6,4),​ (6,5), (6,6)}. find the probability of getting two numbers whose sum is greater than 9.
Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Sum greater than 9 from the Sample Space are:

{(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}

so, in total 6 out of total 36 combinations have a sum greater than 9

So, Probability(sum>9)=\frac{6}{36}

Probability(sum>9)=\frac{1}{6}

Probability(sum>9)=0.167

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Is g(x)=4+x^2/1+x^4 even, odd or neither
UkoKoshka [18]

Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.

<h3>Is the given function even, odd or neither?</h3>

Given the function in the question;

g(x) = (4 + x²)/(1 + x⁴)

To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.

g(x) = (4 + x²)/(1 + x⁴)

g(-1) = (4 + (-x)²)/(1 + (-x)⁴)

Simplify

g(-x) = (4 + x²)/(1 + x⁴)

Hence,

g(-x) = g(x)

Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.

Learn more about even functions here: brainly.com/question/23446734

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2 years ago
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Step-by-step explanation:

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