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frutty [35]
3 years ago
15

The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and

7 minutes. What is the mean of this distribution?
Mathematics
1 answer:
Mariana [72]3 years ago
7 0

Answer:

3.5

Step-by-step explanation:

Let X be our random variable  in the interval [0,7]

We notice that this is a continuous random variable of uniform distribution.

The mean of expected value of a uniform random variable X is:

E(X)=\frac{(a+b)}{2}\\\\=\frac{(7+0)}{2}\\\\\\=3.5

Hence, the mean of the distribution is 3.5

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the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre
Anarel [89]

Answer:

The height of the pole is 167 m

Step-by-step explanation:

The given parameters are;

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We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase  in the length of the shadow  

We have by sin rule;

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Let the initial ray from the top of the pole to the end of the shadow's length = l₁

90/(sin (22°)  = l₁/(sin(122°)

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Therefore;

The height of the pole = 283.3 m × sin(36°) = 166.52 m

The height of the pole= 167 m to three significant figures.

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