1. sponge

3. Use finite differences to determine the degree of the polynomial that best describes the data. Example 1B: Using Finite Differences to Determine Degree The x-values increase by a constant 3. Find the differences of the y-values. x–6–30369 y–916264178151 y–916264178151 First differences: 25 10 15 37 73 Not constant Second differences: – 15 5 22 36 Not constant The fourth differences are constant. A quartic polynomial best describes the data. Third differences: 20 17 14 Not constant Fourth differences: –3 – 3 Constant

4. Check It Out! Example 1 Use finite differences to determine the degree of the polynomial that best describes the data. The x-values increase by a constant 3. Find the differences of the y-values. x121518212427 y 3 2329 3143 y 3 2329 3143 Second differences: – 14 –6 2 10 Not constant The third differences are constant. A cubic polynomial best describes the data. Third differences: 8 8 8 Constant First differences: 20 6 0 2 12 Not constant

7. Probability rules 1. Any probability is a number between 0 and 1. 2. The sum of the probabilities of all possible outcomes must equal 1. 3. If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. 4. The probability that an event does not occur is 1 minus the probability that the event does occur.

8. Distance learning P(40 or over) = P(not 18 to 23) = P(30 or over) =

9. Benford’s law http://www.youtube.com/wat ch?v=O8N26edbqLM