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LUCKY_DIMON [66]
3 years ago
13

Which of the following is an example of a terminating decimal. 1. 1/4 2.1/3 3. 4/9 4. 1 2/3​

Mathematics
2 answers:
kolbaska11 [484]3 years ago
6 0
2. 1/3 would be the answer
Mandarinka [93]3 years ago
6 0

Answer: Actually the answer would be the first one.

Step-by-step explanation:

All the answers except #1 have repeating decimals

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Mark runs 1 mile in 6 minutes. How far will he run after 1 hour
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The probability that a certain make of car will need repairs in the first seven months is 0.9. A dealer sells three such cars. W
aleksandr82 [10.1K]

Answer:

0.9990 = 99.90% probability that at least one of them will require repairs in the first seven months.

Step-by-step explanation:

For each car, there are only two possible outcomes. Either they will require repair in the first seven months, or they will not. The probability of a car requiring repair in the first seven months is independent of other cars. 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.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a certain make of car will need repairs in the first seven months is 0.9.

This means that p = 0.9A dealer sells three such cars.

A dealer sells three such cars.

This means that n = 3

What is the probability that at least one of them will require repairs in the first seven months?

Either none will require repairs, or at least one will. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X > 0) = 1

We want P(X > 0). So

P(X > 0) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{3,0}.(0.9)^{0}.(0.1)^{3} = 0.001

Then

P(X > 0) = 1 - P(X = 0) = 1 - 0.001 = 0.9990

0.9990 = 99.90% probability that at least one of them will require repairs in the first seven months.

4 0
3 years ago
Which of the following is an example of a statistic? a.) A value used to represent a population b.) Standard deviation of all fi
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d

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Find the 13th term in the following<br> arithmetic sequence :<br> 2, 10, 18, 26, ...
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Step-by-step explanation:

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