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STatiana [176]
2 years ago
6

A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen per

oxide solution. How many liters of the 10% solution did the chemist use to make the 15% solution?
Mathematics
1 answer:
FromTheMoon [43]2 years ago
8 0
Your two equations are at the top, in the box is what each variable represents. Below the box is total liters of the 15%, which is going to equal the total liters for 10% plus the total liters for 25%. Make your percentages into decimals. There’s a total of 30 liters so, x+y needs to equal 30. Isolate a variable, I chose y, you can do either or (isolating x would be more math). Y is going to equal 30-x, substitute that for the Y in the second equation, then you need to distribute 0.25 into 30-x. Then it’s simple math, subtract 7.50 from both sides, add like gets, divide both sides by -0.15, making x=20.

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Answer:

There is a 50% probability that its total life will exceed 20,000 miles.

Step-by-step explanation:

To solve this question, we use the following formula:

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

In which P(A|B) is the probability of A happening, given that B has happened, P(A \cap B) is the probability of A and B happening, and P(B) is the probability of B happening.

In this problem, we want:

The probability of the total life of the car battery exceeding 20,000 miles, given that it exceeded 10,000 miles.

P(A \cap B) is the probability of exceeding 20,000 and 10,000 miles. It is the same as the probability of exceeding 20,000 miles(If it exceeded 20,000 miles, necessarily it will have exceeded 10,000 miles). So P(A \cap B) = 0.4

P(B) is the probability of exceeding 10,000 miles. So P(B) = 0.8)

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There is a 50% probability that its total life will exceed 20,000 miles.

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