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taurus [48]
3 years ago
15

To test the purity of the hydrazine, the chemist collected a sample 1/2000th the volume of the batch produced. If the sample siz

e was 0.4 liters, what was the volume of the production batch?
Mathematics
1 answer:
Bad White [126]3 years ago
3 0

If 0.4 liters is 1/2000 of the production batch, then the production batch is 2000 * 0.4 liters

2000 * 0.4 liters = 800 liters

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s344n2d4d5 [400]
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3 0
2 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
Fifteen students were asked how much money they spent to the nearest whole dollar, in the school cafeteria one week. Their respo
dem82 [27]

Answer:

Check Explanation.

Step-by-step explanation:

The histogram displaying the amount spent by the 15 kids in the school cafeteria in one week is shown in the attached image to this answer.

Hope this Helps!!!

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2 years ago
7. Find the width of the rectangular prism when the
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I would say the width is 7 without having a picture.
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3 years ago
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