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Sidana [21]
2 years ago
10

Which of the following is the pythagorean theorem?

Mathematics
2 answers:
TEA [102]2 years ago
8 0

Answer:

c

Step-by-step explanation:

ivanzaharov [21]2 years ago
7 0

Answer:

B

Step-by-step explanation:

the pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse. this translates to "the sum of the squares of both legs is equal to the hypotenuse squared".

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7 7/8= 63/8

3 1/4= 13/4

63/8 -13/4  we bring to the same denominator

(63-26)/8=  37/8
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What is the equation of the line that passes through the point (2,7) and has a slope of 6?
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Step-by-step explanation:

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A theater company charges $3.50 per ticket for people of all age groups. If c represents the total number of children who bought
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What is the value of u? 6.4u−5.1u=−3.25 Enter your answer in the box. u=
AnnZ [28]

i am not shure what the answer is to this?

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3 years ago
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)    

7 0
2 years ago
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