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suter [353]
3 years ago
11

John owns a hardware store. He has at most $1,000 to spend on restocking his pipes. Steel pipes cost $100, and plastic pipes cos

t $50. He needs at least 5 steel pipes and no more than 10 plastic pipes. identify two possible combinations. HELP ASAP!!!
Mathematics
2 answers:
dimaraw [331]3 years ago
5 0
Steels is equal to x and plastic pipes is equal to y

5x + 50y = $1000

6x + 40y = $100
Llana [10]3 years ago
3 0
If there is $1,000 for the pipes, then you can buy 5 steel pipes for $500 and to plastic for 500 too. 
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ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

n=(\frac{z_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

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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.  

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\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)  

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n represent the sample size (variable of interest)  

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

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The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =0.02 and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

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