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Step2247 [10]
3 years ago
5

A soccer ball is placed 12 feet away from a goal post that measures 8ft high. You kick the ball and it hits the crossbar at the

top the goal. What was the angle of elevation of you kick?
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
tg(\theta)=\frac{8}{12}\\
\\
tg(\theta)=0.666... \rightarrow \theta\approx35^o
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A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
andrezito [222]

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5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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Z = \frac{X - \mu}{\sigma}

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Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that \mu = 20, \sigma = 5

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The proportion is 1 subtracted by the p-value of Z when X = 28. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{28 - 20}{5}

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2 years ago
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