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Basile [38]
3 years ago
14

1. What is the Potential Energy of a 6 kg object that is 10 m above the ground?

Mathematics
1 answer:
andriy [413]3 years ago
5 0
PE = mgh
m = 6 kg, g = 9.8 m/s^2, h = 10m
6 * 9.8 * 10 = 588 J
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42-1.833\frac{6.325}{\sqrt{10}}=38.334    

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Step-by-step explanation:

Notation

\bar X represent the sample mean

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Confidence interval

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 mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=42

The sample deviation calculated s=6.325

The degrees of freedom are given by:

df=n-1=10-1=9

The Confidence level is 0.90 or 90%, the significance is \alpha=0.1 and \alpha/2 =0.05, and the critical value would be t_{\alpha/2}=1.833

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42+1.833\frac{6.325}{\sqrt{10}}=45.666    

The 90% confidence interval is given by 38.334 \leq \mu \leq 45.666

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