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A biologist is researching the population density of lizards near a boulder in a desert. The biologist counts 15 lizards within a radius of 14 mi of the boulder.



What is the population density of lizards?

Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest whole number.

Respuesta :

Answer:

76

Step-by-step explanation:

Answer:

76 lizards per square miles

Step-by-step explanation:

We are given that The biologist counts 15 lizards within a radius of 14 mi of the boulder.

Area of boulder = [tex]\pi r^{2}[/tex]

                          = [tex]3.14 \times (\frac{1}{4})^{2}[/tex]

                         = [tex]0.19625[/tex]

Now [tex]Density = \frac{Mass}{Area}[/tex]

Mass = 15 lizards

Area = 0.19625 square miles.

So, population density = [tex]\frac{15}{0.19625}[/tex]

                                      = [tex]76.433[/tex]

Hence the population density of lizards is 76 lizards per square miles