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2 years ago

rollercoaster can accommodate 1600 passengers per hour. If you are number 346 in line, how many minutes do you have to wait?

Mathematics

1 answer:

Effectus [21]2 years ago

8 0

Answer:

13.31 minutes

Step-by-step explanation:

800 in 30min

400 in 15 min

26 passengers in an min

346/26

13.31 minutes

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$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting:

$\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}$

For the standard deviation:

$\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}$

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