All categories

3 years ago

18. Population density is the number of people

Mathematics

1 answer:

adelina 88 [10]3 years ago

7 0

The region that covers 23 km^2 has population of 1380 people

Step-by-step explanation:

The population is calculated using population density by multiplying the population density with the area.

Here,

Population density = d = 60 people per kilometer^2

Area = a = 23 km^2

So,

$The\ population\ in\ given\ area = d * a\\=60*23\\=1380\ people$

The region that covers 23 km^2 has population of 1380 people

Keywords: Population, Density

Learn more about population at:

#LearnwithBrainly

You might be interested in

A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimat

Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

For this problem, we consider that we want it to be within 4%.

Item a:

The sample size is n for which M = 0.04.

There is no estimate, hence $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2$

$n = 600.25$

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is $\pi = 0.96$ , hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}$

$\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2$

$n = 92.2$

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to $\pi = 0.5$ , the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151

8 0

2 years ago

He spent $___ on gas?

Basile [38]

Answer:

Step-by-step explanation: 15 minus 6.2 is 8.8 thats how much he needs to fill upp if it is 3.50 a gallon you would multiply to get 30.8 thats how much money he spent on gas

7 0

3 years ago

Perimeter of 60 , length is 3 times the width, what are the dimensions

Murljashka [212]

Length - l

Width - w

Given,

Perimeter = 60

2(l +w) = 60

l + w = 30

l = 30 - w

Given,

l = 3w

30 - w = 3w

4w = 30

--- w = 7.5

--- l = 3w = 3 * 7.5 = 29.5

Hence, the length of the rectangle is 29.5 and the width is 7.5

7 0

4 years ago

Enter the rate of change of the table below

poizon [28]

The rate of change is 23

4 0

2 years ago

2 + 3(x + 2x) = −2x(2 − 4) + 1 A) −5 B) − 1 5 C) 5 D) 1 5

11Alexandr11 [23.1K]

Answer:

B -1/5

you have to follow pemdas first get rid of the parethase which leaves you with 2+3x+6x=-4x+8x+1 then you add what you can do then you get 2+9x=4x+1 then you subtract 2 from both sides and subtract 4x from both sides which leaves you with 5x=-1 then you divide 5 from both sides and get x=-1/5

4 0

3 years ago