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Sergio [31]
3 years ago
15

Which graph best shows the relationship between the length of one side of a square and its perimeter.

Mathematics
2 answers:
sladkih [1.3K]3 years ago
6 0
The answer is the 1st graph. This is because a square have 4 sides and it is all the same. on the x axis (Side length) when it is 4 the perimeter (Length around the outside) will be 4 x 4 which is 16.

Hope this helps? 
Anna [14]3 years ago
5 0

Answer:

<h2>First graph.</h2>

Step-by-step explanation:

Remember that a square has all four equal sides, which we are gonna call x.

Now, the perimeter is defined as the sum of all sides, which is P=x+x+x+x=4x

As you can notice, the perimeter of a square is four times its side. If we call y the perimeter, the relation is

y=4x

That means if each side is 4 units, then its perimeter is 16 units.

If you observe each graph, you would find that the first graph describes this relation. To demonstrate that, let's the slope of the line using (0,0) and (4, 16) which are two points on the line

m=\frac{16-0}{4-0}=\frac{16}{4}=4

Notice that the first graph has the same slope (ratio of change) than the expression we deducted.

Therefore, the right answer is the first graph.

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Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

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=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

Now we have everything in order to replace into formula (1):

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

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3 years ago
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Step-by-step explanation:

There does not exist a "quarter circle" as a circle with a radius of 4 units, the only notable circle that does exist is the unit circle, that is the circle where the radius is equal to 1, represented by the equatin x^2 + y^2 = 1

The term "quarter circle" actually does refer to a fourth part of a circle, not to a circle of radius 4.

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