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WARRIOR [948]
2 years ago
7

A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library

, the number of fiction books became 5/6 of the total number of books. How many books were there at th3 library at first?
Please, I become confused when 6ou say assume whatever as (x) or whatver​
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
4 0

There approximately 7133 books in the library;

Data;

  • Let the number of total books = x
  • Number of fictional books = 3/4x

<h3>Word Problem</h3>

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

\frac{3x}{4} + 592 = \frac{5}{6}x

Let collect like terms and solve

\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53

There approximately 7133 books in the library;

Learn more on word problems here;

brainly.com/question/13818690

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According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64
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Answer:

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Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

So

P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068

Republican and from a household that makes at least $50,000.

55% of 64%. So

P(A \cap B) = 0.55*0.64 = 0.352

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946

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Step-by-step explanation:

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