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NARA [144]
1 year ago
5

it was recently estimated that domestic vehicles out numberforegin vehicles by about six to five. if there are 2673 vehicles in

a county how many of them are domestic?
Mathematics
1 answer:
klio [65]1 year ago
7 0

The question is an example of a ratio problem. This implies that

\begin{gathered} \text{Domestic vehicles ratio=6} \\ \text{Foreign vehicles ratio=5} \\ Sum\text{ of vehicles ratio =5+6=11} \end{gathered}

Therefore, le the number of domestic vehicles be x. We can say that;

\begin{gathered} \frac{6}{11}=\frac{x}{2673} \\ 11x=16038 \\ x=\frac{16038}{11} \\ x=1458 \end{gathered}

Answer: 1458

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The margin of error (E) is given as:

E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} }  \\\\E=1.645*\frac{518.75}{\sqrt{14} } =228.07

The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)

The confidence interval is between 1162.68 and 1618.82.

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