Step-by-step explanation:
hope this helps dear
it forms a right angle triangle I guess ☆☆
What is the area of the rectangle, in square feet?9 ft20 ft
1 answer:
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Answers are in bold
S1 = 1
S2 = 0.5
S3 = 0.6667
S4 = 0.625
S5 = 0.6333
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Explanation:
Let
The summation given to us represents the following
There are infinitely many terms to be added.
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The partial sums only care about adding a finite amount of terms.
The partial sum is the sum of the first term and nothing else. Technically it's not really a sum because it doesn't have any other thing to add to. So we simply say
I'm skipping the steps to compute f(1) since you already have done so.
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The second partial sum is when things get a bit more interesting.
We add the first two terms.
The scratch work for computing f(2) is shown in the diagram below.
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We do the same type of steps for the third partial sum.
The scratch work for computing f(3) is shown in the diagram below.
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Now add the first four terms to get the fourth partial sum.
As before, the scratch work for f(4) is shown below.
I'm sure you can notice by now, but the partial sums are recursive. Each new partial sum builds upon what is already added up so far.
This means something like and
In general, so you don't have to add up all the first n terms. Simply add the last term to the previous partial sum.
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Let's use that recursive trick to find
The scratch work for f(5) is shown below.
the complete question in the attached figure
1) Find the probability that all nine victims would select the same person. You should enter your answer as a decimal, not as a percent. Do not round, as your answer should be a terminating decimal.
P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512
2) what is the probability that the first victim picks SOMEONE? ANYONE?
P=(1/5)=0.20 ---------------- > 20%
3) Now let’s look at victim #2. What is the probability that they pick the same person as victim #1?
P=(1/5)*(1/5)=0.04 --------------> 4%
4) Now let’s look at victim #3. What is the probability that they pick the same person as victim #1?
P=(1/5)*(1/5)*(1/5)=0.008 --------------> 0.8%
5) Now let's look at victim #9. What is the probability that they pick the same person as victim #1?
P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512
6) Once you find all those probabilities, what rule would apply?
the probability is given by (1/5)^n
n=number of victims that pick the same person---------> in this problem = 9
P=(1/5)^9= 0.000000512
