Mathematics, 03.03.2020 01:25 nathanbrockdac

In a poll, respondents were asked if they have traveled to Europe. 68 respondents indicated that they have traveled to Europe and 124 respondents said that they have not traveled to Europe. If one of these respondents is randomly selected, what is the probability of getting someone who has traveled to Europe?

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Answer from: bjbass899

T= A person selected in the poll travel to Europe

NT= A person selected in the poll NOT travel to Europe

For this case we have the following respondents for each event

n(T)= 68

n(NT) = 124

So then the total of people for the poll are:

n = n(T) + n(NT)= 68 +124= 192

And we are interested on the probability of getting someone who has traveled to Europe, and we can use the empirical definition of probability given by:

$p =\frac{Possible}{Total}$

And if we replace we got:

$p = \frac{n(T)}{n}= \frac{68}{192}= 0.354$

So then the probability of getting someone who has traveled to Europe is 0.354

Step-by-step explanation:

For this case we define the following events:

T= A person selected in the poll travel to Europe

NT= A person selected in the poll NOT travel to Europe

For this case we have the following respondents for each event

n(T)= 68

n(NT) = 124

So then the total of people for the poll are:

n = n(T) + n(NT)= 68 +124= 192

And we are interested on the probability of getting someone who has traveled to Europe, and we can use the empirical definition of probability given by:

$p =\frac{Possible}{Total}$

And if we replace we got:

$p = \frac{n(T)}{n}= \frac{68}{192}= 0.354$

So then the probability of getting someone who has traveled to Europe is 0.354

Answer from: Quest

b is the answer that makes most sense

step-by-step explanation:

Answer from: Quest

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2 polynomial long division

dividing : x4+5x3-4x2-8x+6

("dividend")

by : x-1 ("divisor")

dividend x4 + 5x3 - 4x2 - 8x + 6

- divisor * x3 x4 - x3

remainder 6x3 - 4x2 - 8x + 6

- divisor * 6x2 6x3 - 6x2

remainder 2x2 - 8x + 6

- divisor * 2x1 2x2 - 2x

remainder - 6x + 6

- divisor * -6x0 - 6x + 6

remainder 0

quotient : x3+6x2+2x-6 remainder: 0

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