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TiliK225 [7]
2 years ago
7

Can someone help answer this for me? this does not make any sort of sense to me

Mathematics
1 answer:
IgorC [24]2 years ago
7 0

Solution:

<u>Note that:</u>

  • Triangle ABC ≅ Triangle FGH
  • AC = 30 units
  • CB = 10 units
  • BA = 35 units
  • FH = 18 units
  • HG = 6 units

<u>Looking at both the triangles, we can say that:</u>

  • FH = 3AC/5 = 3(30)/5 = 90/5 = 18 units
  • HG = 3BC/5 = 3(10)/5 = 30/5 = 6 units

<u>We can do the same with AB and FG.</u>

  • FG = 3AB/5 = 3(35)/5 = 3(7) = 21 units
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Answer:

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Step-by-step explanation:

1) 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".

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\bar X represent the sample mean for the sample  

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n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

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

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Since the Confidence is 0.95 or 95%, 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: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

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

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On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

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