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It Makes Sense That the Larger the Area of a Region

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It makes sense that the larger the area of a region, the larger the number of species that inhabit the region. Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species SS of bats living in caves in central Mexico has been related to the surface area AA measured in m2m ^ { 2 } of the caves by the equation
S=0.7A03S = 0.7 A ^ { 03 }
(a) The cave called mission impossible near puebla, mexico, has suface area of A=90 m2A = 90 \mathrm {~m} ^ { 2 } . How many species of bats would expect to find in that cave?
(b) If you discover that 5 species of bats live in cave estimate the area of the cave.

Understand the concept and relevance of the Lorenz curve in representing income distribution.
Grasp the significance of the Gini ratio as a measure of income inequality.
Identify the impact of income distribution on various population segments.
Compare the degree of income inequality among different populations or countries using the Gini ratio and Lorenz curve.

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