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3 years ago

What is the distance between (8, -3) and (4, -7)?

Mathematics

1 answer:

nirvana33 [79]3 years ago

3 0

The answer is √32 units.

please see the attached picture for full solution

Hope it helps

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Explain how you can determine the annual percent increase when looking at an exponential function for a city population . Answer

Andru [333]

Answer:

The annual increase in the percentage of a pollution can be determined by some mathematical calculation.

Step-by-step explanation:

In order to determine the annual percentage increase over one year for a city population, we must do the following,
First we must subtract starting value that is the initial population of the city at the starting of the year from the final value that is the final population of the city at the end of the year.
Now divide the whole by the starting value.
This gives you the value of increase in the rate of growth, Now inorder to obtain it in percentage format, we must multiply the resultant value by 100.

This finally gives you the rate of increase in the population in percentage.

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4 years ago

What is the measurement of angle R?

Andreyy89

Check the picture below.

make sure your calculator is in Degree mode.

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3 years ago

Over a period of 22 hours, the temperature dropped 36 degrees Fahrenheit what was the average change in temperature?

Lady_Fox [76]

You divide both numbers

4 0

3 years ago

The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check

Verdich [7]

Answer:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =150$ represent the population standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

$\bar X = \frac{740+920}{2} = 830$

and the margin of error is given by :

$ME = \frac{920-740}{2}= 90$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

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3 years ago

Earth is approximately 1.5x10^8 km from the sun. how many minutes does it take to travel from the sun to the earth? the speed of

Sonbull [250]

8.33 minutes .......

6 0

3 years ago