The intensity I of an earthquake, measured on the Richter scale, is given by log where I, is the intensity of an earthquake of a certain small size. Use this information to solve the following. 19. In November 2016 an earthquake on the South Island of New Zealand measured 7.8 on the Richter scale. (a) Express this intensity I in terms of l9. (b) In December 2012 an earthquake off the coast of California measured 6.3 on the Richter scale. Express this intensity in terms of I,.- (c) How many more times intense was the New Zealand earthquake than the one in California?

Q: Radiated seismic energy from an earthquake is estimated by log E = 3.8+ 1.7M, where E is the energy…

A: We have to find (a) How many times more energy does an 8.4-magnitude earthquake have than a…

Q: Solve the equation for x. log,3 = (Type an integer or a simplified fraction.)

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Q: 04 loga(u) oga(EK 43).

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Q: Evaluate log( 3 + J4) 5eJ/3 = A + jB, determine the real component A (A) 0.902 B) 1.033 3.667 2.897…

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Q: Earthquake area in the Central states Refer to Exercise 64. For the Rocky Mountain and Central…

A: Given that, R=2.3logA+14000-6.6  Need to evaluate A when R=4.

Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…

A: We can find the hydronium ion concentration as below.

Q: Simplify the following expression. logb(1/b4)

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Q: Solve the following exponential equation for x. Write the answer as both an exact expression and as…

A: The given equation 4-x+10=676. We have to find a value of x.

Q: b. x> % 3. An earthquake is measured with wave amplitude of 1015 times. What is the magnitude of…

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Q: Evaluate. log3 27

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Q: The magnitude of an earthquake, measured on the Richter scale, is log 10 where / is the amplitude…

A: Use the property of logarithm, logmn=nlogmlogmm=1

Q: Solve for x. log x = - 4 0.0001 -0.0001 1.386 -4

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Q: Calculate "y" in the following expression: -log(y) = 8. y = i

A: Given expression is -logy=8

Q: Assume logg a = 3 and logg b = −0.5. Find the value of the following expression. logg (亭)

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Q: Earthquake energy The energy E (in ergs) released during an earthquake of magnitude R may be…

A: logE=11.4+1.5R a). On simplification, we get ⇒E=1011.4+1.5R    ∵logx=y⇒x=10y

Q: 1. Multiple Choice Which logarithm has the greatest value? A. log330 B. log₂9 C. log460 D.log,360

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Q: loge 3+ logs 2 = %3D Select one: Oa. 1 b. logs (3/2) O c. log 5

A: It is an important part of statistics. It is widely used.

Q: Find the value of log67 log7 log ,(n+1) logn+16. log 67 log 78· log ,(n+ 1) logn+163D ..

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Q: (2.5)* = 27.85 X≈ logą (x) = 16 X≈ log (321)=2.7 X≈

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!