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rusak2 [61]
3 years ago
6

What is 0.36 expressed as a fraction in simplest form when the 6 is repeating?

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0
The easiest way think of .36 as 36/100 and then divide by 2's. 
36/100 
18/50 
9/25
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You measure 44 textbooks' weights, and find they have a mean weight of 51 ounces. Assume the population standard deviation is 11
elena-14-01-66 [18.8K]

Answer: (47.51, 54.49)

Step-by-step explanation:

Confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

, where n= sample size .

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\overline{x} = sample mean

z_{\alpha/2} = Two -tailed z-value for {\alpha (significance level)

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Significance level for 95% confidence = \alpha=1-0.95=0.05

Using z-value table ,

Two-tailed Critical z-value : z_{\alpha/2}=z_{0.025}=1.96

Now, the 95% confidence interval for the true population mean textbook weight will be :-

51\pm (1.96)\dfrac{11.8}{\sqrt{44}}\\\\=51\pm(1.96)(1.7789)\\\\=51\pm3.486644\approx51\pm3.49\\\\=(51-3.49,\ 51+3.49)\\\\=(47.51,\ 54.49)

Hence, the 95% confidence interval for the true population mean textbook weight. :  (47.51, 54.49)

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3 years ago
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