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sertanlavr [38]
2 years ago
12

A meteorologist is monitoring the atmospheric pressure at various cities whose height above sea level varies. The meteorologist

determines that the atmospheric pressure decreases by 12% for each additional kilometer the city is above sea level. It has been determined that the atmospheric pressure at sea level is 103 kPa (kilopascals).
Determine the atmospheric pressure in the following cities.

A city located 4.6 km above sea level
Mathematics
1 answer:
Tema [17]2 years ago
6 0
If the pressure decreases 12% per kilometer of elevation,
then this would be the equation:

      Pressure = (pressure at sea level) · (0.88)^power of (elevation in km) .

If the sea level pressure is 103 kPa and
the city is 4.6 km above sea level, then

      Pressure = (103 kPa) · (0.88)⁴.⁶          (the exponent is " 4.6 ")

                    =  (103 kPa) · (0.5554)

                    =   57 kPa        (rounded) 
__________________________________________

4.6 km is a very high elevation for people to live at.  One reason is just
what we found up above ... the low air pressure makes it tough to get
enough oxygen into your lungs to be able to DO anything.  You would
just have to lay around all day trying to breathe !

I did some searching online looking for major cities at 4.6 km elevation,
and I didn't find any.

4.6 km is almost 3 times as high above sea level as Denver, Colorado is.
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Step-by-step explanation:

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"A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year
KiRa [710]

Answer:

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

56% of the school's graduates find a job in their chosen field within a year after graduation.

This means that p = 0.56

Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

This is P(X \geq 1) when n = 6.

Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So

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

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

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P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0073 = 0.9927

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