The weighted voting systems for the voters A, B, C, ... are given in the form q: w1, w2, w3, w4, ..., wn . The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {76: 52, 39, 31, 25, 9}

Answers

Answer 1

Answer:

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25

Step-by-step explanation:

using the Banzhaf power index for each voter

{76: 52, 39, 31, 25, 9}

Voter A = 52

Voter B = 39

Voter C = 31

Voter D = 25

Voter E = 9

lets calculate the Banzhaf power index for Voters A to C

A B = 52 + 39 ≥ 76

B C = 39 + 31 ≤ 76

A C = 52 + 31 ≥ 76

A B C = 52 + 39 + 31 ≥ 76

Lets consider critical

A B  : A is critical  because without A the sum < 76

B C :  B is not critical because without B the sum is still < 76

A C : C is critical because without C the sum < 76

A B C : A is critical as B + C < 76

           B is not critical as A + C ≥ 76

           C is not critical as A + B ≥ 76

Number of times critical : For A = 3, For B = 0 , For C = 1

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25


Related Questions

Simplify: (4/3q)^4. You may assume that any variables are nonzero.

Answers

Answer:

[tex]\frac{256}{81q^{4} }[/tex]

Step-by-step explanation:

PLEASE ANSWER what are the slopes to these graphs ?

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Answer:

13. 1/4x

14. -2/4x or -1/2x

15 1/3x or 2/6x

16. Zero

Step-by-step explanation:

13. goes up once and goes to the side 4 times

14. goes down twice and goes to the side 4 times

15. goes up one time and three to the side

16. zero slope, the line is horizontal

Answer:

13. 1/4

14. -1/2

15 1/3

16. Zero

Step-by-step explanation:

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Answers

Answer: x=60

Step-by-step explanation:

x+22+x+6+x−28=180

Step 1: Simplify both sides of the equation.

x+22+x+6+x−28=180

x+22+x+6+x+−28=180

(x+x+x)+(22+6+−28)=180(Combine Like Terms)  22+6=28 and then 28-28=0

3x=180  

3x=180

Step 2: Divide both sides by 3.

3x/3 = 180/3

x=60

hope this was helpful.

what methods could be used to solve the following quadratic equation x^2 +12-28=0

Answers

Answer:

Step-by-step explanation:

x^2 +12x-28=0

x^2+(14-2)x-28=0

x^2+14x-2x-28=0

X(X+14)-2(X+14)=0

(X+14)(X-2) is the factor of this quadratic equation.

Bella its jordan please reply

Answers

Answer:

ejeiejeir

Step-by-step explanation:

mdkdkdksoseojehdjr

hey jordan i find your bella i m following her ok i will tell her that you are searching her

if 5x+2y=20 and y=10, what is 3x?​

Answers

Answer:

3x = 0

Step-by-step explanation:

Given,

y = 10

now,

5x+2y = 20

or, 5x+2×10=20

or, 5x = 20-20

or, 5x = 0

or, x = 0/5

or, x = 0

Again,

3x = 3×0 =0

The original price of a bottle
of dish soap is $2. How much
will Sasha PAY if she buys it
during the sale when it is 50%
off?

Answers

Answer:

$1

Step-by-step explanation:

i hope i read it right

Answer:

1

Step-by-step explanation:

cuz half of 2 is 1

What is the value of x in the proportion below?

1/2 / 4 = x/28

3 1/2
7 1/2
14
56

Answers

Answer:

A 3 1/2

Step-by-step explanation:

There are a number of ways that you can solve this

Method 1)

Since these proportions are set equal to each other, we know that x is also equivalent to 1/2. So, we need to find the whole-number that was multiplied by the first fraction (1/2/4) that gave us the second fraction (x/28).

So we need to divide the denominators

28/4 = 7

Now that we have that number, we will mutiply 1/2 by it because we know that whatever x is the 1/2 times 7 since 28 is 4*7:

1/2 * 7 = 3.5 or 3 1/2, so 3 1/2 is our answer...

Another way that we can solve this is by using the cross product (butterfly method)

Method 2)

Multiply 28 by 1/2 = 14.

Now we will divide 14 by 4. 14/4 = 3.5

3.5 = 3 1/2, so that is our answer.

21. (01.05)
A function is created to represent the cost per person to attend the school dance. What restrictions would
be made to the domain? (1 point)
The domain would only include integers.
The domain would only include positive integers.
The domain would only include positive numbers,
The domain would include all real numbers.

Answers

Answer:

Step-by-step explanation:

The domain would only include positive integers.

hellpppppp please I will give brainliest ​

Answers

Answer:

y=3x+4

Step-by-step explanation:

Where would you locate √6 on the number line?...
Between 2.75 and 3.0
Between 2.5 and 2.75
Between 2.0 and 2.25
Between 2.25 and 2.5​

Answers

Answer:

Between 2.25 and 2.5

Step-by-step explanation:

The square root of 6 is 2.4494.... which is closer to 2.5

1. Given the equation Ax + By = 600 and the x-intercept is (60,0) and the y-intercept is (0,25)
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A =
B=

Answers

A=60 B=25
Hope this helps

Please please help me please it’s due today at 6:50pm please please help me please will mark the brainiest please please help me please

Answers

Answer:

6. nebula

7. a white dwarf star

If you add 1 more side to a triangle, you would have a: a.)pentagon. b.)quadrilateral. c.) hexagon​

Answers

Answer:

quadratial

Step-by-step explanation:

Find the value of x.
930
45°
X=
help please

Answers

Answer:

45 Degrees

Step-by-step explanation:

Compare to its other side

180°-138°=42°
Hope this helps

Select the shapes that are similar to shape A.

Answers

Answer: Blue, orange, purple and red

Step-by-step explanation:

Answer:

The blue, pink, orange, purple, and red.

help me with this question if you don’t mind❗️

Answers

Answer:

12m by 3m

Step-by-step explanation:

lol please mark brainliest

Evaluate the surface integral


S
F · dS
for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.
F(x, y, z) = yj − zk,
S consists of the paraboloid
y = x2 + z2, 0 ≤ y ≤ 1,
and the disk
x2 + z2 ≤ 1, y = 1.

Answers

Since S is closed, you can use the divergence theorem, which says

[tex]\displaystyle\iint_S \vec F(x,y,z) \cdot \mathrm d\vec S=\iiint_R \mathrm{div}\vec F(x,y,z)\,\mathrm dV[/tex]

where R is the interior of the surface S.

We have

div F (x, y, z) = ∂/∂x (0) + ∂/∂y (y) + ∂/∂z (-z) = 1 - 1 = 0

so the flux would be 0.

In this exercise we have to calculate the flux by the divergent theorem:

The flux would be ZERO

Since S is closed, you can use the divergence theorem, which says:

[tex]\int\limits\int\limits_s {F(x,y,z} \, ds= \int\limits \int\limits\int\limits_R {divF(x, y, z)} \, dv[/tex]

where R is the interior of the surface S. We have:

[tex]\nabla F (x, y, z) = 1-1= 0[/tex]

so the flux would be ZERO.

See more about vectorial calculus at : brainly.com/question/6960786

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What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29

Answers

Answer:

x=11, y=1 or (11, 1)

Step-by-step explanation:

I used substitution to solve this. Basically wherever there's an x, I would fill it in as 12-y.

2(12-y)+3y=29

24+2y+3y=29

24+5y=29

subtract 24 from both sides

5y=5

divide by 5

y=1

Now substitute y back in to get x.

x=12-1

x=11

You can also graph this into desmos, and wherever they intercept, that's your answer.  I hope this helps!

! Find the slope using the formula.
(9,-5) and (-2,9)

Answers

Answer:

[tex]m=\frac{-14}{11}[/tex]

General Formula and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, -5)

Point (-2, 9)

Step 2: Find slope m

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a cyclist travels 14 hours in per hour. what is the cyclists speed in feet/ minute. 1 mile= 5280 feet

Answers

Answer:

1,232 ft/min (feet per minute)

Step-by-step explanation:

14 miles = 73,920 feet

1 hour = 60 minutes

73, 920 / 60 = 1,232 feet/minute

given that cosec A= -2, sec B= -2, A and B lie in the same quadrant. Find sin (2A+2B)

help me please,​

Answers

Answer:

sin (2A+2B) = 0

Step-by-step explanation:

Given that,

cosec A= -2 and sec B= -2, A and B lie in the same quadrant.

We need to find the value of sin (2A+2B).

[tex]A=cosec^{-1}(-2)\\\\=-30[/tex]

And

[tex]B=\sec^{-1}(-2)\\\\=120^{\circ}[/tex]

To find the value of sin (2A+2B) as follows :

sin [2(-30)+2(120)] = sin (-60+240)

=sin (180)

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So, the value of sin (2A+2B) is qual to 0.

Use the figure to identify the correct rule for the translation. (x, y) Right-arrow (x – 3, y + 4) (x, y) Right-arrow (x + 3, y – 4) (x, y) Right-arrow (x – 4, y + 3) (x, y) Right-arrow (x + 4, y – 3)

Answers

Answer:

(x, y) Right-arrow (x – 3, y + 4)

(the top one)

applying the appropriate transactional rule When the coordinates are added to or subtracted from, the values of x and y change.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given four transformations of coordinates (x, y)

Mathematical transformations describe how 2D figures move around a plane or coordinate system.

If the transformation occurs in the x-axis, then the coordinators move left or right.If transformation occurs in the y-axis, then the coordinators move upwards or downwards

thus for (x, y ) => (x - 3), (y + 4)

From the given rule:

x is decreased by 3 and y is increased by 4 or in other words, we can say the graph moves downward by 3 units and to the right by 4 unit

for (x, y ) => (x + 3), (y - 4)

From the given rule:

x is increased by 3 and y is decreased by 4 or in other words, we can say the graph moves upward by 3 units and to the left by 4 units.

for (x, y ) => (x + 4), (y - 3)

From the given rule:

x is increased by 4 and y is decreased by 3 or in other words, we can say the graph moves upward by 4 units and to the left by 3 units.

Therefore, using the correct rule of the transaction The value of x and y will increase or decrease by adding or subtracting from the coordinates.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ2

(7w - 6) +5 (-2.4w + 1)

Answers

Answer: The answer would be -5w-1

Step-by-step explanation:

Answer:

xcgvb                     vgjbnnnnnnnnnn vbjn bvh

Step-by-step explanation:

Peter needs 20 meters of wood for his backyard. The nursery only sells
wood by the foot. Which is closest to the number of feet of wood Peter
needs?

1 meter = 3.28 feet

A 66 feet
B 6 feet
C. 17 feet
D. 60 feet

Answers

Answer:

A

Step-by-step explanation: 20 x 3.28 is 65.6 round it up its 66

The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate.
• 12 students voted for strawberry.
20 students voted for vanilla.
What percentage of the students chose chocolate as their favorite ice-cream flavor?

Answers

Answer:36%

Step-by-step  have 12+18+20 which equals 50 and 18 out of 50 is 36%

The percentage of the students who chose chocolate as their favorite ice cream flavor will be 36%

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, there are  18 students voted for chocolate,12 students voted for strawberry and 20 students voted for vanilla.

The total number of students = 18+12+20 = 50

A percentage of the students chose chocolate as their favorite ice cream flavor is,

%choclate = (Number of students voted for chocolate / Total student)×100

%choclate =(18/50)×100

%choclate =36%

Learn more about the percentage here:

brainly.com/question/8011401

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What is a3 of the sequence 13, 18, 23, 28, 33, 38...

Answers

Answer:

23

Step-by-step explanation:

cuz it starts with 13 as a1

Anna worked worked 37 hours this week at £8.97 hour. she then worked nine hours overtime at time and a half. how much does she get paid in total? round your answer to the nearest pound.​

Answers

417

Step-by-step explanation:

I hope this helps :)

please help me solve this

Answers

Answer:

A) 7 and 8

Step-by-step explanation:

root of 7 is 2.64575..... then when u multiply by 3

3*2.64575=7.93725

What is the slope of the line that passes through the points (3,5) and (4,8)?

Answers

Answer:

1,3

Step-by-step explanation:

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