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choli [55]
3 years ago
7

To start a board game,the player who rolls two sixes gets to go first.What is the probability that a player will roll two number

cubes and get two sixes?
Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

The correct answer is 1/36

Step-by-step explanation:


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In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and
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Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 40 and 65 meters.

This means that a = 40, b = 65

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is P(X > 50)

We have that

P(X \leq 50) + P(X > 50) = 1

So

P(X > 50) =  1 - P(X \leq 50)

P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4

P(X > 50) =  1 - P(X \leq 50) = 1 - 0.4 = 0.6

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

M = \frac{a + b}{2}

So

M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

So

S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22

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A local movie theater was showing two movies last night. Twelve guests came to watch Wonder Woman 1984 and 38 guests came to wat
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Answer:

24%

Step-by-step explanation:

The total amount of guests is 50. 12/50 saw Wonder Woman 1984. To turn that into a percentage you have to divide 12 by 50 which is .24. Therefore, 24% of the guests saw Wonder Woman 1984.

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