The 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 table shows the land area and seismic activity density. A 3-column table has 2 rows. The first column has entries State A, State B. The second column is labeled Land Area (miles squared) with entries 163,696, 10,931. The third column is labeled Seismic Activity Density with entries 0.0299, 0.1402. Which statement about the number of earthquakes the states had for the given time span is true? State A had approximately 1,533 more earthquakes than State B. State B had approximately 1,533 more earthquakes than State A. State A had approximately 3,362 more earthquakes than State B. State B had approximately 3,362 more earthquakes than State A.

The seismic activity describes the number of of earthquake that occurs

per square mile.

Reasons:

The table of values are presented as follows;

The seismic activity density is given by the formula;

Therefore;

Number of earthquakes = Land area × Seismic activity density

Number of earthquakes in State A = 163,696 × 0.0299 ≈ 4894.5104

Number of earthquakes in State B = 10,931 × 0.1402 ≈ 1,532.5262

Which gives;

The difference between the number of earthquakes in State A and State B is approximately 3,362 earthquakes.

Therefore;

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State A had approximately 3,362 more earthquakes than State B

Step-by-step explanation:

Let

x> the number of earthquakes during a given time span

y > the land area affected

z> seismic activity density of a region

step 1

Find the number of earthquakes during a given time span of State A

we know that

z = x/y

we have

z = 0.0299

y = 163,696mi^2

substitute and solve for x

0.0299 = x/163,696

x = 0.0299 x (163,696) = 4,895\earthquakes

Step 2

Find the number of earthquakes during a given time span of State B

we know that

z = x/y

we have

z=0.1402

y=10,931\ mi^2

substitute and solve for x

0.1402 = x/10,931

x = 0.0299 x (163,696) = 4,895\earthquakes

step 3

Compare the number of earthquakes both states

State A > 4,895\ earthquakes

State B > 1,533\ earthquakes

Find the difference

4,895 - 1,533 = 3,362\earthquakes

therefore

State A had approximately 3,362 more earthquakes than State B

b mark me branliest thx

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.