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kirill115 [55]
3 years ago
12

the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

10√3m

Step-by-step explanation:

Given :-

  • Angle of elevation = 60°
  • Distance between man and pole = 60°

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 10√3 m

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A website manager has noticed that during the evening​ hours, about 5 people per minute check out from their shopping cart and m
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a) Poisson distribution

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c) 0.05% probability that seven people make a purchase in the next four ​minutes

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In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that \mu = 5

a) What model might you suggest to model the number of purchases per​ minute? ​

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per​ minute.

b) What is the probability that in any one minute at least one purchase is​ made? ​

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

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We want to find P(X \geq 1)

So

P(X \geq 1) = 1 - P(X = 0)

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99.33% probability that in any one minute at least one purchase is​ made

c) What is the probability that seven people make a purchase in the next four ​minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

\mu = 4*5 = 20

We have to find P(X = 7).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005

0.05% probability that seven people make a purchase in the next four ​minutes

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