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cupoosta [38]
3 years ago
14

A mobile base station (BS) in an urban environment has a power measurement of 8µW at 225m. Assuming the propagation follows an i

nverse cube power law (Section 3.2.2), what is a reasonable value to assume at a distance 675m from the BS?
Give your answer in scientific notation, to 2 decimal places.
Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Answer:

The reasonable value = 2.96 × 10^(-1) µW

Step-by-step explanation:

* Lets explain how to solve the problem

- A mobile base station in an urban environment has a power

 measurement of 8 µW at 225 m

- The propagation follows an inverse cube power law

- We need to find the reasonable value to assume at a distance

  678 m from the base station

∵ The propagation follows an inverse cube power law

- <em>The power would have been decreased by a factor 1/n³ </em>

<em>   times the power as a distance increasing</em>

∵ n = the ratio between the distances

∵ The distance are 675 m and 225

∴ n = 675/225 = 3

∴ 1/n³ = 1/3³ = 1/27

- The reasonable value is the product of the power measurement of

  8 µW and 1/27

∴ The reasonable value = 8 × 1/27 = 8/27 µW = 0.296296

∴ The reasonable value = 2.96 × 10^(-1) µW

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Answer:

You want to calculate the interest on $5000 at 13% interest per year after 2 year(s).

The formula we'll use for this is the simple interest formula.

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So, t is 2....year time periods.

To find the simple interest, we multiply 5000 × 0.13 × 2 to get that:

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3 years ago
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Answer:

9 times

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5 0
2 years ago
A small town has 2000 families. The average number of children per family is mu = 2.5, with a standard deviation sigma = 1.7. A
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Answer:

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

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And for this case the standard error would be:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

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Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

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Answer:

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Step-by-step explanation:

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