Consider the weighted voting system [16: 15, 8, 3, 1]Find the Banzhaf power distribution of this weighted voting system.List the power for each player as a fraction: P1: P2: P3: P4:
Q: 14 14 4. The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages…
A: Printer A:From the graph : We have coordinate - (2,30) ⟹ Printer A prints 30 pages in 2…
Q: tell whether the square root of 15 divided by the square root of 5 is rational, irrational, or…
A: Step 1: A rational number is a number which can be expressed as division of two integers, and the…
Q: Please provide a solution with an explanation.
A:
Q: 1. Let = (1,2,3), let = (-2, 1, -1), and let w = (2,0,-2) (a) Find 2-3. (b) Compute + + w||. (c)…
A:
Q: See image for question
A:
Q: Please write a comparison between the following terms with examples. Please make the answer short…
A:
Q: 1. Write a system of two linear equations in slope-intercept form that has exactly one solution at…
A:
Q: Problem 2. Suppose that G is an arbitrary group. 2.1. Show that CG(Z(G)) = G = NG(Z(G)). 2.2. Let A,…
A: I hope you are finding the material engaging and informative. If you have any questions or…
Q: 7. Consider the optimization problem below. Maximize = -2x1 + 4x2 + 23 subject to 5x1 + 22 - 323 3…
A: Step 1:
Q: Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest…
A: Before we can answer the question, we need to understand the difference between simple and compound…
Q: The number y of songs that can be stored on an MP3 player varies inversely with the average size x…
A: The problem states that the number of songs y that can be stored on an MP3 player varies inversely…
Q: I want a mathematical relationship with all the details, not explanations and definitions
A: Problem 1: The Projection MapThis problem explores the properties of a function that "projects"…
Q: 3. Simplify the matrix expression A(A-B) - (A+B)B-2(A - B)2 + (A + B) 2
A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.
Q: let x be ato Plogy space and Suppoes that anbhd bea basic has been fixed at Cachxe X Prove that…
A:
Q: 4. A researcher measured the length and wingspan of a group of golden eagles at a park. He recorded…
A: The correlation coefficient, often denoted by 'r', is a statistical measure that calculates the…
Q: 58°F Surry…
A: T(t) = 5 + 15e^(-0.04t)Set up the equation:17 = 5 + 15e^(-0.04t)Solve for t:a) Subtract 5 from both…
Q: Compare and contrast the simple and compound interest formulas. Which one of the following…
A: Simple interest is calculated on the original principal only. The formula for simple interest is I =…
Q: Co Given show that Solution Take home Су-15 1994 +19 09/2 4 =a log суто - 1092 ж = a-1 2+1+8 AI |…
A: GIVEN : STEP 1 : STEP 2 : STEP 3:
Q: in 19 and 20, use the exspression 5.3t - (20 \ 4) + 11. Which part of the exspression is a quotient?…
A: In the given expression, 5.3t-(20/4)+11, the quotient is the part of the expression where one number…
Q: Solve x-1 x+2 = 12 3 4 Your Answer: Answer
A:
Q: A restaurant that specializes in hot sauce has 23 different types of hot sauce a customer can choose…
A:
Q: 3. Write a system of linear equations in slope intercept form that has exactly one solution at the…
A: Graph If you have any help please let me know in comment box thankyou.
Q: 3. Find a the equation of the function below. (You may leave your answer in vertex form) (-3.4) 4.…
A: The vertex form of a quadratic function is given by the formula:f(x)=a(x-h)2+kwhere (h, k) is the…
Q: See image for question
A: Step 1:a. Here is a simplified and easy-to-read state diagram for the Markov chain, illustrating the…
Q: Exon 2020 Q3: Consider the subset H of Pz defined as H = { p(x) = P₂ | P(A) = P(0)} @ Show that H 13…
A: We are tasked with analyzing the subset H ofP2 , the space of polynomials of degree at most 2,…
Q: Use the graphs to find estimates for the solutions of the simultaneous equations.
A: To solve this problem, we need to find the points of intersection of the two graphs: y=2x2+2x+1…
Q: Pls help.
A: Step 1: Identify the given valuesStep 2: Use the present value of an annuity formulaStep 3:…
Q: TOC ➤Rates & Unit Rates A Example: is a ratio that compares two quantities with different kinds of…
A: We start by writing the quantities as a ratio. In this case, the quantities are 'miles' and 'hours'.…
Q: 2. Find the distance between the point (1,-1,2) and the plane 2x + y -3z - 4 = 0 in R³.
A: Step 1:Step 2: Step 3: Step 4:
Q: Pls help on both
A: 1) To find angle R in triangle QRS, where q = 7.5, r = 8.1, and s = 12.2, we use the Law of Cosines:…
Q: Pls help on both
A: Step 1:Step 2: Step 3: Step 4:
Q: Factor the expression 3x3 + 4x²-15x-20. Show your work.
A: 1. Start with the Original Expression: We need to factor the expression:3x3+4x2−15x−202. Group…
Q: For all values of a, b ER, either find the inverse, or show that no inverse exists, of the following…
A: Step 1:
Q: The "nth term" of an arithmetic progression is given by a un= 15-3n.(a) Indicate value of first term…
A: If you have any problem let me know in the comment section thank you.
Q: 1/4 and 6/5
A:
Q: Express the following complex numbers in x + iy form. a. еiзπ/2 b. ein/2e-in/2 c. √√ d. (1 + i)8
A: Using Euler's formula, we can express any complex number in the form e^(ix) as cos(x) + i*sin(x).…
Q: 3+7v=3-v+8v
A: First, we simplify the equation by combining like terms on both sides of the equation. On the right…
Q: I need help could you help?
A: To simplify (x4y−3z8)−4 and express the answer using exponents, follow these steps... Apply the…
Q: x3)² + (y + 1)² = 4
A: We have given equation, (x−3)2+(y+1)2=4 The given equation is in the standard form of a circle…
Q: y=x-2|| y=x+2y=(x-5)² y=-(x+5)² y= |x| +2 y=2xy=-x+2y=5x² y=-5x2y= -2|x| y=-x+5 y=x+5 Drag the…
A: Graphs are as follows: The vertical axis is representing y-axis and the horizontal axis is…
Q: What is the vertex, increasing interval, decreasing interval, domain, range, root/solution/zero, and…
A: 1. Vertex The vertex is the turning point of the parabola, and based on the given points and the…
Q: 5. Consider the bases for R²: * - {^ - ( ) - - ( • ) } - {~ - () --()} B₁ = Οι = √2 = 8 B2 = = = (a)…
A: Step 1: Step 2: Step 3: Step 4:
Q: 65431368654÷9768 9×8 2×346
A: Analyzing the Expression:- The given mathematical expression is: 65431368654÷9768×9×8×2×346 Order of…
Q: 1. Cryptopgraphy (a) We wish to encode a message using a simple cipher and matrix multiplication.…
A: take this as reference
Q: using a proof by contradiction, proof that the square root of 13 is irrational.
A:
Q: Exercise 8.2. An element a of a ring R is nilpotent if an = 0 for some n Є N. (1) Show that if R is…
A: Step 1: (1): When R is CommutativeWe need to show that if R is a commutative ring and a and b are…
Q: Pls help on both
A: If you have any questions let me know in the comment box thankyou.
Q: A graph of a function is given. Use the graph to find the indicated values. y 4 0 (a) g¯¹(0) (b) g-1…
A: We have given graph of g(x). From the graph we can see, When x = 0 , g(x) = 0 So, g(0)=0 g−1(0)=0…
Q: Is the perpendicular line drawn in the graph correct or not?
A: Note: The lines are perpendicular but appear to be not because the scales in x and y axes are not…
Q: Prove that the usual toplogy is firast countble or hot and second countble. ①let cofinte toplogy onx…
A:
Consider the weighted voting system [16: 15, 8, 3, 1]
Find the Banzhaf power distribution of this weighted voting system.
List the power for each player as a fraction:
P1:
P2:
P3:
P4:
Step by step
Solved in 2 steps
- Use the Banzhaf power index to determine the power index for each player. Consider the voting system {18: 9, 6, 3, 3, 2}. Use the winning coalitions below to find each player’s power index. {P1, P2, P3} {P1, P2, P4} {P1, P2, P3, P4} {P1, P2, P3, P5} {P1, P2, P4, P5} {P1, P2, P3, P4, P5} a P1 = 33.3%, P2 = 33.3%, P3 = 11.1%, P4 = 11.1%, P5=0% b P1 = 37.5%, P2 = 31.5%, P3 = 11.1%, P4 = 11.1%, P5 = 8.8% c P1 = 33.3%, P2 = 33.3%, P3 = 11.1%, P4 = 11.1%, P5 = 3% d P1 = 33.5%, P2 = 37.5%, P3 = 11.1%, P4 = 11.1%, P5 = 6.8%Use the Banzhaf power index to determine the power index for each player. Consider the voting system (58: 40, 35, 25, 16). Find each player's power index. a b с d P1 = 33.3%, P2 = 33.3%, P3 = 0%, P4 = 33.3% P1 = 33.3%, P2 = 33.3%, P3 = 33.3%, P4 = 0% P1 = 33.3%, P2 = 30%, P3 = 36.7%, P4 = 0% P1 = 36.7%, P2 = 37.5%, P3 = 33.3%, P4 = 0%Consider the weighted voting system[32: 10,6,6,5,4,4,3,2,1]Find:The total number of players: The total number of votes: The quota:
- Use the Banzhaf power index to determine the power index for each player. Consider the voting system (16: 7, 6, 3, 3, 2). Use the winning coalitions below to find each player's power index. • {P1, P2, P3} • {P1, P2, P4) • • {P1, P2, P3, P4} {P1, P2, P3, P5} {P1, P2, P4, P5} • {P1, P2, P3, P4, P5} a b с d P1 = 37.5%, P2 = 35.5%, P3 = 12.5%, P4 = 12.5%, P5 = 2% P1 = 37.5%, P2 = 37.5%, P3= 10.5%, P4 = 12.5%, P5 = 0% P1 = 40%, P2 = 34%, P3= 12.5%, P4 = 12.5%, P5 = 0% P1 = 37.5%, P2 = 37.5%, P3= 12.5%, P4 = 12.5%, P5 = 0%Mr. Abdul Rheman's class held an election for class president. Instead of just voting for one candidate, students need to rank all the candidates according to their preference. The results are shown below: Rankings X 3 2 1 3 1 Y 2 2 1 3 1 3 1 2 Number of 8 7 8 6 7 Students If you will use Borda Count Method, wherein the assigned points for 1st, 2nd and 3rd place are 3pts, 2pt, and 1pt respectively, who will be the class president of Mr. Abdul Rheman and by how much points?Riverside Elementary school is holding a school-wide election to choose a school color. FIve-Eighths of the votes were blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were red. how many votes were blue? How many votes were for green?
- see photo, please.Use the Borda method to determine the winner of the election for the school president. There are 4 candidates. They are A, B, C, and D. The school’s clubs voted for the president. They ranked their choices and below is the result. Clubs 1 3 4 Number of Votes 40 25 30 18 First A B C D Second B A D В Third C D Fourth D C A A 1. Assign the poi values to each vote. Fill in the table below. Clubs 1 2 3 4 Number of Votes 40 25 30 18 First (4 pts) A В D Second (3 pts) A D Third (2 pts) D Fourth (1 pt) D C A A 2. Calculate the total points for each candidate. Show how you calculate each candidate's total points. А: В: С: D: 3. Under the Borda method, the winner isA group of military officers is composed of 6 Army Officers, 7 Navy Officers, and 8 Air Force Officers. An eight officer committee is to be randomly selected. Find P(2 Army Officers, 2 Navy Officers, 4 Air Force Officers).
- Suppose that three candidates-Woodward, Seiple, and Porter-are running in an election that will be decided by the plurality method with a runoff between the top two finishers if none of the candidates receives a majority of the votes. The results of the first ballot (plurality) are given next. Woodward 2315 Seiple Porter 1885 800 In a runoff election between Woodward and Seiple, what is the smallest percentage of Porter supporters that would need to vote for Seiple in order for Seiple to win the election?Last year at a certain high school, 11 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?A Senior High School class held an election for class president. Instead of just voting for one candidate, the students needed to rank all the candidates according to preference. The table presents the results. RANKINGS Anton 2 3 1 3 4 2 Maria 4 1 3 4 1 3 Shelly 1 2 2 2 3 4 Troy 3 4 4 1 2 1 Number of Votes 36 53 41 27 31 45 1. Who is the winner by plurality? 2. What is the majority number of votes?