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sp2606 [1]
3 years ago
10

Evaluate C(8, 8).01n8

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer: Second Option

C(8,8)=1

Step-by-step explanation:

We must calculate a combination

The combination C (n, r) =\frac{n!}{r!(n-r)!}

Where n is the number of elements that you can combine and you choose "r" from them.

So

C (8, 8) is the combination of 8 in 8.

Therefore

n = 8\\r=8

C(8,8)= \frac{8!}{8!(8-8)!}\\\\C(8,8)=\frac{8!}{8!(0)!}\\\\C(8,8)=\frac{1}{1*1}\\\\C(8,8)=1

The answer is the second option

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Step-by-step explanation:

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3 years ago
S/4-6.8=-9.8 what does s equal
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4 years ago
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What is the intersection of the three sets: A = {0, 2, 3, 6, 8}, B = {2, 3, 6, 8, 9}, and C = {1, 2, 4, 8, 9}? A. {2, 8, 9} B. {
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{2,8}

Step-by-step explanation:

This is the same thing as asking what element (in this case what number) is in all 3 sets.

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3 years ago
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Mr. Capildeo's salary sfter a 5% increase was $6255 (a) calculage his salary if a 3% incrwae had been given instead (b) Calculat
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Answer:

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Increase in 3%: 6,135.85

Step-by-step explanation:

So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do: o*\frac{x}{100} where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation: o*1.05=6255 \implies o = \frac{6255}{1.05} = 5,957.14. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: 5,957.14*1.03=6,135.85

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2 years ago
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