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shtirl [24]
3 years ago
14

An owner of a restraint wants to conduct a survey about possible menu changes. Give an example of a sampling method that would p

roduce a valid sample.
Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Do you mean restaraunt?

  • Every 10th customer
  • Every 15th customer

Something like that. I hope this helps.

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Show that n(n+1)(n+2) is divisible by 6<br>Solution<br>(​
vladimir2022 [97]

Proof by induction

Base case:

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(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

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The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.

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