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ryzh [129]
3 years ago
12

State the domain of the rational function.

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0
f(x)=\dfrac{12}{13-x} is undefined where the denominator is zero. The domain is all values of x for which the function is defined.

The domain of f(x) is all real numbers except 13.
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A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She t
FinnZ [79.3K]

Answer:

(19229.11 ,20770.89)

Step-by-step explanation:

We are given the following information:

Sample size, n = 17

Sample mean = 20,000 pounds

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Confidence level = 95%

Significance level = 5% = 0.05

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 16 and}~\alpha_{0.05} = \pm 2.119  

20000 \pm 2.119(\displaystyle\frac{1500}{\sqrt{17}} ) = 20000 \pm 770.89 = (19229.11 ,20770.89)  

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