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Viktor [21]
3 years ago
15

Solve 30x -12,000 less than or equal to 980

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0

Answer:

\large\boxed{x\leq432\dfrac{2}{3}\to x\in\left(-\infty,\ 432\dfrac{2}{3}\right]}

Step-by-step explanation:

30x-12,000\leq980\qquad\text{add 12,000 to both sides}\\\\30x-12,000+12,000\leq980+12,000\\\\30x\leq12,980\qquad\text{divide both sides by 30}\\\\x\leq\dfrac{12,980}{30}\\\\x\leq\dfrac{1,298}{3}\\\\x\leq432\dfrac{2}{3}

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Answer:

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Step-by-step explanation:

information given

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\sigma=4.1 represent the population standard deviation

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\alpha=0.05 represent the significance level for the hypothesis test.  

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Replacing the info given we got:

We can replace in formula (1) the info given like this:  

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

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