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Sindrei [870]
2 years ago
8

Solve the following system of linear equations. 3x + 6y = 18 - 3x + 6y = – 18

Mathematics
1 answer:
Dahasolnce [82]2 years ago
3 0
I am not really sure
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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)    

7 0
2 years ago
Help please! I need the area of this given figure. The formula is A=1/2(b1+b2)h
Pie

Answer:

108 ft

Correct me, if I am wrong :)

have a great day!

Thanks!

8 0
2 years ago
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A bus travels two different routes: the Green Route and the Blue Route.
Alex17521 [72]

Answer:4.5

Step-by-step explanation: Check the file for my explanation

8 0
2 years ago
The Arnold family arrived at the beach at
AlekseyPX

Answer:

13:30 military time, 1:30 normal time.

8 0
3 years ago
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What is the common difference in this sequence: 4, 13, 22, 31, 40?
IgorC [24]

Answer:

9

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

13-4 =9

Lets check:

Take the third term and subtract the second term

22-13 =9

The common difference is 9

5 0
2 years ago
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