how much of an increase in wave amplitude is seen from an earthquake measuring 5.4 on the Richter scale compares to the one meas
2 answers:
Answer:
The increase in wave amplitude is 1 unit.
Step-by-step explanation:
Given : In wave amplitude is seen from an earthquake measuring 5.4 on the Richter scale compares to the one measuring 4.4.
To find : How much of an increase in wave amplitude ?
Solution :
Richter scale compares to the one measuring 4.4 unit.
In wave amplitude, an earthquake measuring 5.4 unit.
Increase in measuring is higher value subtracting lower value.
Therefore, The increase in wave amplitude is 1 unit.
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Part A
Since order matters, we use the nPr permutation formula
We use n = 12 and r = 8
There are a little under 20 million different permutations.
<h3>Answer: 19,958,400</h3>Side note: your teacher may not want you to type in the commas
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Part B
In this case, order doesn't matter. We could use the nCr combination formula like so.
We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.
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Another way we can compute the answer is to use the result from part A.
Recall that:
nCr = (nPr)/(r!)
If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320
So,
Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.
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<h3>Answer: 495</h3>