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3 years ago

The answers to this question

Mathematics

1 answer:

Nana76 [90]3 years ago

7 0

A) f(x) = x - 4 , g(x) = x + 4
⇒ f( g(x) ) = x + 4 - 4 = x
g( f(x) ) = x - 4 + 4 = x
⇒ f and g are not inverses of each other
b) f(x) = -1/(3x) , x ≠ 0 ; g(x) = 1/(3x) , x ≠ 0
⇒ f( g(x) ) = -1/( 3*(1/(3x)) ) = -1/(1/x) = -x
g (f(x) ) = 1/( 3*(-1/(3x)) ) = 1/( -1/x) = -x
⇒ f and g are not inverses of each other

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0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

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So 50% of voting yes, 50% no, so $p = 0.5$

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This means that $n = 15$

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Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

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In which

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$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

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3 years ago

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Answer:

Your answers are correct!!! I just cant see the top as i told u in the details place....

Please brainlest...

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