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Liono4ka [1.6K]
3 years ago
13

PLEASE ANSWER ASAP

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

(2,14°+360n) and (-2,14°+(2n+1)180°)

Step-by-step explanation:

You start out with (2, 14°)

The polar coordinate can be written as (r, 0) = (r, 0+2nπ) or

(r,0)=(-r,0+2(n=1)π), where n is any integer.

The polar coordinates point : p=(r,0) = (2,14°)

For the positive value of r,  the polar coordinate can be written as

p=(2,14°) = (2,14°+360n°), where n is any integer.

For the negative value of r ,  the polar coordinate can be written as

p=(2,14°) = (-2,14°+(2n+1)180°), where n is any integer.

All the polar coordinates of point P are(2,14°+360n) and (-2,14°+(2n+1)180°).

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Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

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The formula for the probability of an exponential distribution is:

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Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

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The z-score is the difference in sample size and the population mean, divided by the standard deviation:

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Therefore, using the probability table, you find that the corresponding probability is:

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<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

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