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3 years ago

Explain how to divide negative and positive rational numbers.

Mathematics

1 answer:

I am Lyosha [343]3 years ago

7 0

Answer:

The rule for multiplying and dividing rational numbers

Ok so if both numbers are negative or positive the answer will be positive. but if one number is positive and the other is negative the answer is negative.

Hope this helps

Brainliest please

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Answer:

1.3559644*10^-^5

Step-by-step explanation:

From the information given we extract the following data

Total Number of Trials (N) = 191

Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)

Odds of success (p) = 0.85

Using the binomial formula for calculating probability, i.e.

$P(x; N, p) = nCx * p^x *(1-p)^{N-x}$

Inputting the values

$P(181; 191, 0.85) = 191C181 *0.85^{181} *(1-0.85)^{191-181} \\ P(181; 191, 0.85) = 1.3559644*10^-^5$

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3 years ago

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Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

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

The formula is:

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

A survey showed that 77% of us need correction, hence p = 0.77.

13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

$P(X \geq 12) = P(X = 12) + P(X = 13)$

In which:

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

$P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299$

$P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334$

Then:

$P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163$

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

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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The appropriate choice is ...

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