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Murljashka [212]
3 years ago
13

There are 15 boys and 45 girls competing in a race. What is the ratio of girls to boys in the race , lowest terms ?

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0
<h3>Answer =  3:1</h3>

==========================================

Work Shown

45 girls : 15 boys

45/15 girls : 15/15 boys .... divide both parts by 15

3 girls : 1 boy

This tells us there are three times as many girls as there are boys.

We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.

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Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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.

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

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that p = 0.95

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

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

P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

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Solve foR a12-3(a-1)=11+a
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Answer:

Solve for a

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a≈−1.1114621,1.23792371

Step-by-step explanation:

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Answer:

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