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uranmaximum [27]
3 years ago
7

Given 11 different natural numbers, none greater than 20. Prove that two of these can be chosen, one of which divides the other.

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
7 0

Answer:

777 838 3

Step-by-step explanation:

sood

frosja888 [35]3 years ago
4 0

Answer:11 honestly have no idea but im going to give my best answer it is 31

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A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

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=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 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)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=9-1=8

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

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

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
Can 0.1/100 be simplified?
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No 0.1/100 cannot be simplified
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Answer:69

Step-by-step explanation:

69•2= 138

69-11=58

58•3=174

174+138=312

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3 years ago
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Answer:

circumference = 2\pi \: r \\  = 2 \times \pi \times 22 \\  = 44\pi \: inches

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What is 62 in expended form
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60 plus 2 is the answer  

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