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3 years ago

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km^2

Mathematics

2 answers:

Masteriza [31]3 years ago

8 0

Answer:

$5377 \frac{people}{km^2}$

And we want to provide this population density in $\frac{people}{m^2}$

We know that 1km =1000m, so then we can use this fact and we can do the conversion:

$5377 \frac{people}{km^2} *\frac{1km^2}{(1000m)^2} = 0.005377 \frac{people}{m^2}$

Step-by-step explanation:

For this cae we have the following population density:

$5377 \frac{people}{km^2}$

And we want to provide this population density in $\frac{people}{m^2}$

We know that 1km =1000m, so then we can use this fact and we can do the conversion:

$5377 \frac{people}{km^2} *\frac{1km^2}{(1000m)^2} = 0.005377 \frac{people}{m^2}$

Allushta [10]3 years ago

7 0

Answer: The population density was 0.005377 people per square meter.

Step-by-step explanation:

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The length of a rectangle is 8 centimeters less than its width. What are the dimensions of the rectangle if its area is 240 squa

Dmitriy789 [7]

Answer:
Well, Your best answer will be is 35.
Here's a Explain.
W-5=0
W=5 That's for the width.
L=3*5-8
L=15-8=7 And, That's for the length.
Here's proof.
35=7*5
35=35
Hope That Helps!~

6 0

3 years ago

Read 2 more answers

With a height of 68 in, Nelson was the shortest president of a particular club in the past century. The club presidents of the

Ivahew [28]

Answer:

a. The positive difference between Nelson's height and the population mean is: $\\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in$ .

b. The difference found in part (a) is 1.174 standard deviations from the mean (without taking into account if the height is above or below the mean).

c. Nelson's z-score: $\\ z = -1.1739 \approx -1.174$ (Nelson's height is below the population's mean 1.174 standard deviations units).

d. Nelson's height is usual since $\\ -2 < -1.174 < 2$ .

Step-by-step explanation:

The key concept to answer this question is the z-score. A z-score "tells us" the distance from the population's mean of a raw score in standard deviation units. A positive value for a z-score indicates that the raw score is above the population mean, whereas a negative value tells us that the raw score is below the population mean. The formula to obtain this z-score is as follows:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

$\\ z$ is the z-score.

$\\ \mu$ is the population mean.

$\\ \sigma$ is the population standard deviation.

From the question, we have that:

Nelson's height is 68 in. In this case, the raw score is 68 in $\\ x = 68$ in.
$\\ \mu = 70.7$ in.
$\\ \sigma = 2.3$ in.

With all this information, we are ready to answer the next questions:

a. What is the positive difference between Nelson's height and the mean?

The positive difference between Nelson's height and the population mean is (taking the absolute value for this difference):

$\\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in$ .

That is, the positive difference is 2.7 in.

b. How many standard deviations is that [the difference found in part (a)]?

To find how many standard deviations is that, we need to divide that difference by the population standard deviation. That is:

$\\ \frac{2.7\;in}{2.3\;in} \approx 1.1739 \approx 1.174$

In words, the difference found in part (a) is 1.174 standard deviations from the mean. Notice that we are not taking into account here if the raw score, x, is below or above the mean.

c. Convert Nelson's height to a z score.

Using formula [1], we have

$\\ z = \frac{x - \mu}{\sigma}$

$\\ z = \frac{68\;in - 70.7\;in}{2.3\;in}$

$\\ z = \frac{-2.7\;in}{2.3\;in}$

$\\ z = -1.1739 \approx -1.174$

This z-score "tells us" that Nelson's height is 1.174 standard deviations below the population mean (notice the negative symbol in the above result), i.e., Nelson's height is below the mean for heights in the club presidents of the past century 1.174 standard deviations units.

d. If we consider "usual" heights to be those that convert to z scores between minus2 and 2, is Nelson's height usual or unusual?

Carefully looking at Nelson's height, we notice that it is between those z-scores, because:

$\\ -2 < z_{Nelson} < 2$

$\\ -2 < -1.174 < 2$

Then, Nelson's height is usual according to that statement.

7 0

3 years ago

10=12-x what would match this equation

Eddi Din [679]

Answer:

x=2

Step-by-step explanation:

12-10=2

6 0

3 years ago

Read 2 more answers

If the central limit theorem is applicable, this means that the sampling distribution of a ___________ population can be treated

3241004551 [841]

The answers are Sample population and the Sample Size is Large Enough.

<h3>What are population and sample?</h3>

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

If the central Limit Theorem is applicable, this means that the sampling distribution of a sample population can be treated as normal since the sample size is large enough.

Also, It asserts that the distribution of the average of the sum of many identically distributed and independent variables will be approximately normal, irrespective of the statistical properties.

Thus, the answers are Sample population and the Sample Size is Large Enough.

Learn more about the population and sample here:

brainly.com/question/9295991

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2 years ago

What is the quotient when the sum of 13 and 11 is divided by the difference of 13 and 11

Andreyy89

Answer:

Step-by-step explanation:

$\dfrac{13+11}{13-11}=\dfrac{24}{2}=12$