Number trick: "Pick a number and then add 4 to it. Multiply the sum by 6, and then subtract 9 from the product. Then, divide the difference by 3, and finally, subtract 5 from the quotient." a) Select at least three different numbers and perform the number trick written above with each of your numbers. In each case, clearly note the original number and the final result. b) Make a conjecture about the relationship between the original number and the final result. c) Prove, using deductive reasoning, the conjecture you made in part (b).
Number trick: "Pick a number and then add 4 to it. Multiply the sum by 6, and then subtract 9 from the product. Then, divide the difference by 3, and finally, subtract 5 from the quotient." a) Select at least three different numbers and perform the number trick written above with each of your numbers. In each case, clearly note the original number and the final result. b) Make a conjecture about the relationship between the original number and the final result. c) Prove, using deductive reasoning, the conjecture you made in part (b).
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
Problems A,B,C
Transcribed Image Text:Number trick: "Pick a number and then add 4 to it. Multiply the sum by 6, and then subtract 9 from the
product. Then, divide the difference by 3, and finally, subtract 5 from the quotient.
a) Select at least three different numbers and perform the number trick written above with each
of your numbers. In each case, clearly note the original number and the final result.
b) Make a conjecture about the relationship between the original number and the final result.
c) Prove, using deductive reasoning, the conjecture vou made in part (b).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning