Be sure to show all work and all problem solving strategies. Give complete explanations for each step. The Moment Magnitude Scale (MMS) for measuring the intensity of an earthquake is represented by the equation M = 2 3 log E E0 where E is the amount of energy released by the earthquake in joules and E0 = 104.4 is the assigned minimal measure released by an earthquake. 1. What would the magnitude be of an earthquake releasing 1.4∗1013 joules of energy? 2. A recent earthquake in southern California measured had a magnitude of 4.6. How much energy was released by the earthquake? 3. An earthquake had a magnitude of 3.9 on the MMS scale. If a second earthquake releases 750 times as the first, what is the magnitude of the second earthquake?

Explain the difference between each pair of concepts. a. frequency and relative frequency b. percentage and relative frequency a. select the correct choice below. a. frequency is the total number of observations in a data set. relative frequency is the number of times a particular distinct value occurs. b. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of a value to the total number of observations. c. frequency is the total number of observations in a data set. relative frequency is the ratio of the number of times a particular distinct value occurs to the frequency. d. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of two different values.