We are Playing Attack The castle you just drew on the board is under attack. I will give you a question. You will need to work together in groups to.

Slides:



Advertisements
Similar presentations
Introduction to Game Theory
Advertisements

Copyright (c) 2003 Brooks/Cole, a division of Thomson Learning, Inc
Statistical Studies: Statistical Investigations
Chapter 4 Systems of Linear Equations; Matrices Section 6 Matrix Equations and Systems of Linear Equations.
Lesson 7.11 One Dollar.
Marketing Research Marketing Information Systems #1 Today I am: becoming familiar with the purpose of marketing research. So I can: explain the purpose.
-A bar graph displays date with vertical or horizontal lines. Bar Graph Bar graphs are used to compare categorical data using bars. Amount of rainfall.
Basic Matrix Operations Matrix – a rectangular array of numbers, variables, and both Order (dimensions) – describes the number of rows and columns in a.
-A bar graph displays date with vertical or horizontal lines. Bar Graph Bar graphs are used to compare categorical data using bars. Amount of rainfall.
Warm Up Record your group’s 4 matrices from Packet pg. 3 and your answer to the last question on a large whiteboard.
Investigating Identity and Inverse Matrices QUESTION: What are some properties of identity and inverse matrices? 1 Let A =, B =, and C=. Consider the 2.
Opening Routine 1.An online bookstore sells both print books and e- books (books in an electronic format). Customers can pay with either a gift card or.
Tell whether the matrix is equal to the fundraiser matrix. Explain.
We are Playing Attack The castle you just drew on the board is under attack. I will give you a question. You will need to work together in groups to.
Populations and Samples
Basic Matrix Operations
Week 1.
Chapter 4 Systems of Linear Equations; Matrices
4.4 Matrices: Basic Operations
Chapter 4 Systems of Linear Equations; Matrices
College Algebra Chapter 6 Matrices and Determinants and Applications
Young adults by gender and chance of getting rich
Properties of Operations
Multiplication Strategies
Ratios Grad 6, Module 1, Lesson 1
Bivariate Data – Contingency Tables
Input – Output Models P = # of items produced
ARITHMETICAL REASONING
Homework Packet # 3.
16 Multiplying Matrices Warm Up Lesson Presentation Lesson Quiz.
Simultaneous Move Games: Discrete Strategies
CSNB 143 Discrete Mathematical Structures
The participants learn to construct a line by 2 points.
Solving Systems of Equations Algebraically
Legos, lunch time, and lollipops Two-way Frequency Tables
General Rules of Probability
Grade 4 Extended Constructed Response Questions Marking Period 1
Final Exam will be 24 Questions (22 at 4 points, 2 at 6 points)
What did you need to do to play the game?
Chapter 6 Game Theory (Module 4) 1.
Means and Variances of Random Variables
Section 6.4 Multiplicative Inverses of Matices and Matrix Equations
9.3 Lego’s, Lunch and Lots More Two-way Frequency Tables
A sample is a small number of individuals representing a larger group.
Applications of Inverse Matrices
Chapter 7: Matrices and Systems of Equations and Inequalities
Population Structures
COUNTING AND PROBABILITY
Pearson Unit 6 Topic 15: Probability 15-5: Conditional Probability With Frequency Tables Pearson Texas Geometry ©2016 Holt Geometry Texas.
A.) circle graph An election involving four candidates for mayor has been held. Of the following, which is the best way to present the percentage.
Game Theory II Solutions 1
Matrix Operations and Their Applications
Game Theory II Solutions 1
Statistical Reasoning Discussion Paragraph next time….
Lial/Hungerford/Holcomb/Mullins: Mathematics with Applications 11e Finite Mathematics with Applications 11e Copyright ©2015 Pearson Education, Inc. All.
Section 9.4 Multiplicative Inverses of Matices and Matrix Equations
A sample is a small number of individuals representing a larger group.
MATH 2311 Test Review 1 7 multiple choice questions, worth 56 points. (Test 1) 3 free response questions, worth 44 points. (Test 1 FR) Terms and Vocabulary;
A plumbing contractor puts in bids on two large jobs
A sample is a small number of individuals representing a larger group.
A sample is a small number of individuals representing a larger group.
A sample is a small number of individuals representing a larger group.
ACT ASPIRE EXPRESSIONS
Criteria and Constraints of the Project
It's time for some trashketball!!!.
Day 59 – Joint Frequencies
Warm Up A 2003 paper investigated the tendency of people to rationalize their poor performance. Subjects were initially given a test asking them to guess.
Using Two-Way Frequency Tables (4.2.2)
Final Exam will be 24 Questions (22 at 4 points, 2 at 6 points)
Presentation transcript:

We are Playing Attack The castle you just drew on the board is under attack. I will give you a question. You will need to work together in groups to answer the question. Everyone must have the work/answer on their paper. I will randomly select one group and one person in that group to answer the question (work and answer must be shown). If they get it right, then they get to choose different castles to “attack” (put an x on them). The number of attacks is based on how long you have to solve the question. One of your attacks can be defense to build back your castle. If they get it wrong, then I attack their castle. When you have three x’s, your castle is gone. Last castle standing wins three bonus points on their test.

What is the size of A? What is the size of B?

How many elements are in b?

What is the value of C12? C21?

What is A + C?

What is C – B?

What is 2A + D?

The dimensions of matrices P, Q, R, and S are 3x2, 3x3, 4x3, and 2x3, respectively. If matrix multiplication is possible, find the dimensions of the following matrix products. If it is not possible, state why. QP RQ QS RPS

Find AB.

Find BA.

Find CA.

Find DA + E.

Three music classes at Central High are selling candy as a fundraiser Three music classes at Central High are selling candy as a fundraiser. The number of each kind of candy sold by each of the three classes is shown in the following table: Jazz Band Symphonic Band Orchestra Almond Bars 300 220 250 Chocolate Chews 240 330 400 Mint Patties 150 200 180 Sour Gummies 175 160 The profit for each type of candy is sour gummies, 30 cents; chocolate chews, 50 cents, almond bars, 25 cents; and mint patties, 35 cents. Use matrix multiplication to compute the profit made by each class on its candy sales.

Which of the following matrices are inverses of each other? Explain

The students at central high are planning to hire a band for the prom The students at central high are planning to hire a band for the prom. Their choices are bands a, b, and c. They survey the 10th, 11th, and 12th grade classes and find the following percentage of students prefer the bands: The student population by class and gender is: Use matrix multiplication to find: The number of males and females who prefer each band. The total number of students who prefer each band.

The characteristics of the female population of a herd of small mammals are shown in the following table: 0-4 4-8 8-12 12-16 16-20 20-25 Birth rates 0.5 1.1 0.9 0.4 Survival rates 0.6 0.8 Suppose the initial female population for the herd is given by: What is the life expectancy of this mammal? Construct the Leslie matrix for this application. How many mammals will there be in each age group after six cycles? How many mammals will there be in TOTAL after 6 cycles?

Solve for x and y.

Solve for Matrix X.

Solve for matrix X.

Find the inverse:

Mike and Brit are playing poker for pennies Mike and Brit are playing poker for pennies. Mike is holding a very poor hand and is considering bluffing or not bluffing. Brit can either call or not call the bluff. The payoff matrix for the situation is below. What is each person’s best strategy? Is this a strictly determined game? If so, what is the saddle point?

Suppose that in the final days of a political campaign for mayor, the democrats and republicans are planning their strategies for winning undecided voters to their political camps. The democrats have decided on two strategies, plan A and plan B. The republicans plan to counter with plans C and D. The following matrix gives the payoff for the democrats of the various combinations of strategies. The numbers represent the percentage of the undecided voters joining the democrats in each case. What is each person’s best strategy? Is this a strictly determined game? If so, what is the saddle point?

Depending on their driving records, Charlotte drivers are classified in one of the following categories: 1. Elite, 2. Good, 3. Regular, and 4. Poor. Each driver’s category varies from year to year according to a Markov model whose transition matrix is: Find the probability that an initially Good driver becomes a Poor driver in 4 years. Find the probability that an initially Poor driver becomes an Elite driver in 8 years.

A large group of mice is kept in a cage having connected compartments A, B, and C. Mice in Compartment A move to B with probability 0.3 and to C with probability 0.4. Mice in B move to A or C with probabilities 0.15 and 0.55, respectively. Mice in C move to A and B with probabilities 0.3 and 0.6 respectively: Construct a transition matrix to represent this situation. Hint: You will have to also find the probability that the mice do NOT move. If your favorite mouse starts out in compartment C, find the probability that he will be in A after 7 transitions.

Code the message “I love discrete math” using the coding matrix:

Decode the following message if the initial coding matrix was: Initial message: 14 15 44 40 18 106 20 1 50 38 0 38