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____ [38]
3 years ago
7

Whars 0.84 repeating as a fraction in simplest form?

Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

28/33

Step-by-step explanation:

Let x represent the value of the fraction.

x=0.\overline{84}\\100x=84.\overline{84}\\100x-x=99x=84.\overline{84}-0.\overline{84}=84\\\\x=\dfrac{84}{99}\qquad\text{divide by 99}\\\\x=\dfrac{28}{33}\qquad\text{in simplest terms}

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7 0
2 years ago
Please show me how to work this out
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3 years ago
Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
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Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

Step-by-step explanation:

The probability, in this case, has to be calculated using the sum rule because the events are independent. 

P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it. 

Facts:

P(men) = 60% = 99/165

P(non-fiction) = 40% = 66/165

P(men non-fiction) = 40/165

P = P(men) + P(non-fiction) – P(men non-fiction)

P = 99/165 + 66/165 – 40/165

P = 125/165

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