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2 years ago

Which of the following is the pythagorean theorem?

Mathematics

2 answers:

TEA [102]2 years ago

8 0

Answer:

Step-by-step explanation:

ivanzaharov [21]2 years ago

7 0

Answer:

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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Find the difference. 7 7/8 - 3 1/4 ?

astraxan [27]

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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3 years ago

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What is the equation of the line that passes through the point (2,7) and has a slope of 6?

Mumz [18]

Answer:

y= 6x - 5

Step-by-step explanation:

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3 years ago

A theater company charges $3.50 per ticket for people of all age groups. If c represents the total number of children who bought

Montano1993 [528]

The correct answer would be B. 3.5 (c+a). Hope that helps! :)

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3 years ago

What is the value of u? 6.4uâˆ’5.1u=âˆ’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