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victus00 [196]
3 years ago
7

two traders took some books to the market or ratio of 3:4.how many books were taken to the market if first trader had 36 books.​

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

84 books were taken to the market.

Step-by-step explanation:

Let's turn the word problem into algebra.

We can rewrite 3:4 as 3x:4x since we don't know the actual individual numbers, solely that it is divisible by these numbers.

Next, since we know 3x = 36 because of the question, we can solve for x using the division property of equality and get x=12. Once we have x=12 we can find the number of books the other trader has - 4x - by simply multiplying 12 by 4 to get 48 books. Now all we need to do is find the total number of books that both traders have and to do this all we need to do is add 36 to 48 to get a final answer of 84 books.

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Answer:

0.3891 = 38.91% probability that only one is a second

Step-by-step explanation:

For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution 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.

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This means that p = 0.17

Among seven randomly selected goblets, how likely is it that only one is a second

This is P(X = 1) when n = 7. So

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

P(X = 1) = C_{7,1}.(0.17)^{1}.(0.83)^{6} = 0.3891

0.3891 = 38.91% probability that only one is a second

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Step-by-step explanation:

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Answer:

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Therefore, the unit vector of the matrix is given as:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

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