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adelina 88 [10]
3 years ago
9

Mario and 3 friends each had 3/4 footbof rope. They needed to have 5 feet of rope altogether. Do they have enough? explain

Mathematics
2 answers:
Burka [1]3 years ago
7 0
All of them need 2 feet
Tanzania [10]3 years ago
5 0
In total you have 4 people who each have 3/4 rope, so together they have 12/4 feet of rope, or 3 feet. So no, they don't have enough rope. they need two more feet.
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3 years ago
A random sample of 25 glass sheets is obtained and their thicknesses are measured. The sample mean is x= 3.54 mm and sample stan
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Step-by-step explanation:

The formula to find the confidence interval for population mean is given :-

\overline{x}\ \pm\ t_{\alpha/2}\dfrac{s}{\sqrt{n}}

, where n = sample size.

t_{\alpha/2} = Two-tailed t-value for significance level of (\alpha) and degree of freedom df= n-1.

s = sample standard deviation.

As per given , we have

\overline{x}= 3.54 mm

s= 0.20 mm

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Since population standard deviation is not given , it means the given problem has t- distribution.

Two-tailed t-value for significance level of (0.05) and degree of freedom df= 24:

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=3.54\ \pm\ (2.0639)(0.04)

=3.54\ \pm\ 0.082556

=(3.54- 0.082556,\ 3.54+ 0.082556 )=(3.457444,\ 3.622556)\approx(3.46,\ 3.62)

Hence, the 95% two-sided confidence interval for the mean glass thickness = (3.46, 3.62)

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