Seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected.the seismic activity density the state where had 424 earthquakes over a given time span in the land area of 71,300 square miles is 0.0056. Thus the option B is the correct option.
Given information-
A state had 424 earthquakes over a given time span.
The land area of the state is 71,300 square miles.
Seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected.
It can be given as,
[tex]\rho =\dfrac{n}{A} [/tex]
Here n is the number of the time earthquakes over a given time span and A is the area of that land.
Put the values,
[tex]\rho =\dfrac{424}{71300}\\ [/tex]
[tex] \rho=0.0059[/tex]
Thus the seismic activity density for the state is 0.0059. This value is more equal to option B which is 0.0056.
Hence the seismic activity density the state where had 424 earthquakes over a given time span in the land area of 71,300 square miles is 0.0056. Thus the option B is the correct option.
Learn more about the seismic activity density here;
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