a. Repeat the following procedure with at least five people. Write a conjecture that relates the result of the procedure to each person’s birthday. Take the number of the month of your birthday ( January = 1 , February = 2 , ... , December = 12 ) , multiply by 5, add 6, multiply this sum by 4, add 9, multiply this new sum by 5, and add the number of the day on which you were born. Finally, subtract 165. b. Let M represent the month number and let D represent the day number of any person’s birthday. Use deductive reasoning to prove your conjecture in part (a).
a. Repeat the following procedure with at least five people. Write a conjecture that relates the result of the procedure to each person’s birthday. Take the number of the month of your birthday ( January = 1 , February = 2 , ... , December = 12 ) , multiply by 5, add 6, multiply this sum by 4, add 9, multiply this new sum by 5, and add the number of the day on which you were born. Finally, subtract 165. b. Let M represent the month number and let D represent the day number of any person’s birthday. Use deductive reasoning to prove your conjecture in part (a).
Solution Summary: The author explains how to calculate a conjecture that relates to the process described in the question below.
a. Repeat the following procedure with at least five people. Write a conjecture that relates the result of the procedure to each person’s birthday.
Take the number of the month of your birthday
(
January
=
1
,
February
=
2
,
...
,
December
=
12
)
, multiply by 5, add 6, multiply this sum by 4, add 9, multiply this new sum by 5, and add the number of the day on which you were born. Finally, subtract 165.
b. Let M represent the month number and let D represent the day number of any person’s birthday. Use deductive reasoning to prove your conjecture in part (a).
4. Suppose the demand for a certain item is given by D(p)=-2 p² - 4p+350, where p represents the price of
the item in dollars.
a) Find the rate of change of demand with respect to price.
b) Find and interpret the rate of change of demand when the price is $11.
√3-x, x≤3,
2. For f(x) =
1
find each of the following.
x > 3,
x-3'
1. f(-6)
2. f(3)
3. f(7)
3. Find the domain of each of the following functions.
1. Using the definition of the derivative, find f'(x). Then find f'(2), f'(0) and f'(3) when the derivative exists.
a) f(x)=5x²-6x-1
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License