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2 years ago

21. The population density of the city of

1 answer:

4 0

Using proportions, it is found that the population density of Morrison is of 10,000 people per square mile.

<h3>Proportions and density:</h3>

For Wellington, the density is of 12,000 people per square mile.

In Morrison, it is dilation with scale factor of 1.2. Dilation means that the density is smaller, and the factor of 1.2 means that it's population density is that of Wellington divided by 1.2.

Hence:

$\frac{12000}{1.2} = 10000$

The population density of Morrison is of 10,000 people per square mile.

To learn more about proportions, you can take a look at brainly.com/question/24372153

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Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran

snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

The project manager believes that p will turn out to be approximately 0.11.

This means that $\pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

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

$0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}$

$\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2$

$n = 417.9$

Rounding up

A sample size no smaller than 418 is needed.

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Answer:

$x = 3 - y\\ {(3 - y)}^{2} + {y}^{2} = 9 \\ \\ y = 0 \: \: x = 3 \\ y = 3 \: \: \: x = 0\\ \\ \\ b \: is \: corret \: answer$

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2 years ago

A square pyramid has a base with sides 36 meters long and with a slant height of 6.5 meters

Anna35 [415]

Answer:

A. (Image attached)

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Step-by-step explanation:

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3 years ago

Which property was used to solve the given inequality?

Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

<em><u>Solution:</u></em>

Given inequality is:

$y + 8 < - 8$

To solve the inequality, subtract 8 on both sides,

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Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

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Answer:

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Step-by-step explanation:

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3 years ago

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