Practice Discrete Mathematics (14.1) - Lecture -14 - Discrete Mathematics

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8 questions

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6 sample questions

Question 1.
What is the arithmetic mean of 2 and 8?
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Add the two numbers and divide by 2.
Question 2.
Convert the number 5 to binary.
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Think of it as sums of powers of 2.
3Question 3.
What does the arithmetic mean represent?
- Average of numbers
- Product of numbers
- Difference of numbers
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Think about how we calculate the average.
4Question 4.
The geometric mean of numbers is always ____ the arithmetic mean.
- True
- False
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Remember the relationship between the two means.
Question 5.
Show that there are 10 distinct powers of two that sum to the number 1023.
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Start from the largest power of 2 that fits into 1023.
Question 6.
In the context of the celebrity problem, explain how you would test for a celebrity among 5 guests with minimum queries.
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Keep a tally of known relationships to eliminate non-celebrities.

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