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The area of Europe is approximately 9.94 Ă— 106 square kilometers. Its population is approximately 7.31 Ă— 108 people. What is the approximate population density (people per square kilometer) of Europe? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.

Relax

Respuesta :

The population density is 73.54 people per square kilometer

Solution:

Given that,

Area of europe = [tex]9.94 \times 10^6[/tex] square kilometers

Population = [tex]7.31 \times 10^8[/tex]

To find: population density

The formula for population density is given as:

[tex]\text{ population density } = \frac{\text{ number of people }}{\text{ land area }}[/tex]

Substituting the values in formula, we get

[tex]\text{Population density } = \frac{7.31 \times 10^8}{9.94 \times 10^6}\\\\\text{ use the law of exponent } \frac{a^m}{a^n} = a^{m-n}\\\\\text{Population density } = 0.7354 \times 10^{8-6}\\\\\text{Population density } = 0.7354 \times 10^2\\\\\text{Population density } = 73.541[/tex]

On rounding to nearest hundreth (two decimal places ), we get 73.54

Thus the population density is 73.54 people per square kilometer