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sertanlavr [38]
3 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]3 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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Elanso [62]
So, first of all, let's convert the fraction \frac{3}{8} into a decimal, which would be 0.375 (3 divided by 8)

The snail travels this far in 3 minutes. To find out how far it travels in nine minutes, we have to find out how many times 3 goes into 9.

9 / 3 = 3

Now. we simply multiply our decimal by three in order to get our answer!

0.375 x 3 = 1.125 inches

The answer is 1.125 inches!
3 0
3 years ago
A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone
geniusboy [140]

The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>

The missing part of the question is;

The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.

Calculate P(6)

  • This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

p is probability of success

q is probability of failure

n is number of experiments

In this question;

n = 10

p = 75% = 0.75

q = 1 - p

q = 1 - 0.75

q = 0.25

Since six passengers are randomly selected, then applying the formula earlier quoted, we have;

P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾

P(6) = 0.146

Read more at; brainly.com/question/24239758

4 0
3 years ago
Carter works in a department store selling clothing. He makes a guaranteed salary of $400 per week, but is paid a commision on t
pentagon [3]

Answer:

$837.5

Step-by-step explanation:

Step one:

given data

He makes a guaranteed salary of $400 per week

Commision on top of his base salary equal to 25% of his total sales for the week

Required

His total salary when he made sales of 25%

Step two

let us solve for 25% of $1750 made

=25/100*$1750

=0.25*$1750

=$437.5

Hence his total payment for the week will be

=$400+$437.5

=$837.5

Also, if the sales is $x his pay would be

let y be his pay

y=0.25x+400

8 0
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The zero is closed to the origin
6 0
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andreyandreev [35.5K]
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Let us assume the capacity of the gas tank = x gallons
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4x = 8 * 10
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x = 80/4
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So the total capacity of the gas tank of the car is 20 gallons. I hope the procedure is clear to you.
7 0
4 years ago
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