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Oksi-84 [34.3K]
3 years ago
8

What is the answer to −5/12−3/10

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

The answer is -0.71666666666 in decimal form.

In fraction form it is -43/60.

Step-by-step explanation:

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Find an expression which represents the difference when (-5x-y) is subtracted from (9x+2y) in simplest terms.
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2 years ago
An exponential distribution is formed by the waiting times for a patient in the emergency room. The average waiting time for thi
lapo4ka [179]

Answer:

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Step-by-step explanation:

To solve this question, we should understand the exponential distribution and conditional probability.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

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.

The average waiting time for this distribution is 38 minutes.

This means that m = 38, \mu = \frac{1}{38} = 0.0263

Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?

Event A: Taking more than 37 minutes.

Event B: More than 37 + 41 = 78 minutes.

Probability of taking more than 37 minutes:

P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221

More than 37 minutes and more than 78 minutes:

The intersection is more than 78 minutes, so:

P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286

The probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

3 0
3 years ago
PLZ HELP 10 POINTS FOR THIS QUESTION PLZ PLZ
Nookie1986 [14]

Answer:

Tried my best..... Hope it helps! :)

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3 years ago
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