7. the table shows the location and magnitude of some notable earthquakes. how many times more energy was released by the earthquake in mexico than by the earthquake in afghanistan?
afghanistan 6.9
mexico 7.6
about 42.36 times as much energy
about 0.70 times as much energy
about 5.01 times as much energy
about 21 times as much energy

Option C. about 5.01 times as much energy

Step-by-step explanation:

It is given in the question

Country                magnitude of the earthquake

Afghanistan              6.9

Mexico                      7.6

We know that when we compare the intensity of the earthquakes it is  represented by where M1 and M2 are the measurements of earthquakes in different areas.

Now ratio of the energy released by earthquake in Mexico and Afghanistan

=

Therefore Option C. is the answer.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560