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Colt1911 [192]
3 years ago
11

Devin cycled a total of 14 kilometers by making 2 trips to work. How many trips will Devin have to make to cycle a total of 28 k

ilometers? Solve using unit rates.
Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

4 trips

Step-by-step explanation:

2 trips : 14 km

x trips  : 28 km

x= \frac{28*2}{14} = 4

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For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

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This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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Hope this helps:)
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4 years ago
Read 2 more answers
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