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Nastasia [14]
3 years ago
6

An adjustable ladder on the back of the firetruck is needed for firefighters to climb to very high buildings. The maximum angle

the ladder can raise is 70°. If the ladder has a maximum length of 100 feet, what is the distance, in feet, that the firetruck can park away from the building to reach its highest point?
Mathematics
1 answer:
torisob [31]3 years ago
3 0
Cos 70 = horizontal distance /
 100 horizontal distance = 100 cos 70  = 32.2feet
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This is the correct answer because they only used the data that pertained to their teen readers. The magazine does not only have teen readers, but has many ages. The statement regarding internet use generalizes it to all readers, not just teens, therefore making its claim inaccurate because the scope of inference is not appropriate for the claim that was made.

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11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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Central Limit Theorem

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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

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This is the pvalue of Z when X = 450.

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

By the Central Limit Theorem

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

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

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