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Masteriza [31]
3 years ago
8

What are the next three terms of each sequence?5,7.5

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

The next three terms are 10, 12.5 and 15

Step-by-step explanation:

I. As you can see 5 and 7.5 is came from 5, 5 + 2.5

So given y = 5 + 2.5( x - 1 ) when y is output, x is term

II. Perform x = 3, 4, 5

        So y = 5 + 2.5( 3 - 1 )

                = 5 + 5

          3rd = 10

             y = 5 + 2.5( 4 - 1 )

                = 5 + 7.5

            4th = 12.5

             y = 5 + 2.5 (5 - 1)

                = 5 + 10

             5th = 15

Leave comment below.

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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
coldgirl [10]

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

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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

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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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Step-by-step explanation:

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Step-by-step explanation:

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