In a group of 100 politicians, 40 are in Party I and 60 are in Party II. Members of Party I are incapable of changing their minds about anything. Members of Party II change their minds completely randomly every day, independently of all others and also independently of all evidence. Tomorrow, the politicians are going to vote on Proposition 88. Here is a summary of their opinions today. Of the 40 members in Party I, 25 are in favor of Prop 88 and 15 are against. Of the 60 members in Party II, 10 are in favor and 50 are against. Assume that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind.
What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?

Answers

Answer 1

Answer:

30 members.

Step-by-step explanation:

Given that in a group of 100 politicians, 40 are in Party I and 60 are in Party II, and that the members of the latter Party change their minds completely randomly every day, independently of all others and also independently of all evidence, knowing that of the 60 members in Party II, 10 are in favor and 50 are against Proposition 88 and that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind, to determine the distribution of the number of members in Party II who will favor Prop 88 the following logical reasoning must be performed:

In every coin toss there is a 50% chance that it will come up heads, and a 50% chance that it will come up dry. Thus, we could affirm that each member of Party II has a 50% chance of changing their vote, that is, that an estimated half of the members will change their position. Thus, knowing that initially 10 are in favor and 50 are against Proposition 88, in case half changes their position, the 10 in favor would become 5 in favor and 5 against, and the 50 against would become 25 for and 25 against. In this way, some 30 members of Party II will favor Prop 88.


Related Questions

The area of a rectangle is (27x5 + 9 - 18x3) square feet. The width of the rectangle is 9x2 feet. What is the length of the rectangle?​

Answers

Answer:

Step-by-step explanation:

If the width is 9x², then the length is 27x^5+9x^4-18x^3/9x², which equals 3x³+x²+2x. ☺☺☺☺

20 Points!!!!!
Find the cofactors of each entry in the first row of the matrix

Answers

Answer:

can you make the more clear

The 12 members of the middle school filmmaking club need to raise at
least $1,400 to make a short film. They already have raised $650. How
much more should each member raise on average?

Answers

Answer:

At least $62.50 per member

Step-by-step explanation:

They need to raise at least $1400-$650=$750 more.

That means on average $750/12 = $62.50 per member.

Multiplying Integers
1) (-4)(-12) =
2) -8 X (-8) =
3) (-8)(-10) =
4) 5 x 1 =
5) (-10)(11) =
6) (-3)(-8) =
9) 4 x (-10) =
7) -2 x 6 =
8) 7(-12) =
10) (-9)(-6)(2) =
11) (-10)(-7)(-4) =

Answers

Answer:

Multiplying Integers

1) (-4)(-12) = 48

2) -8 X (-8) = 64

3) (-8)(-10) = 89

4) 5 x 1 = 5

5) (-10)(11) = -110

6) (-3)(-8) = 24

9) 4 x (-10) = -40

7) -2 x 6 = -12

8) 7(-12) = -84

10) (-9)(-6)(2) = 108

11) (-10)(-7)(-4) = -280

The width of a rectangular room is 80%
of
its length. The length of the room is 15 feet.
What is the width of the room?

Answers

Answer:

12 feet

Step-by-step explanation:

Given: length = 15 feet, width = L x 80%

Unknown: width = ?

 width = L x 80%

        w = (15ft) x 80%     or (15ft) x .80

        w = 12 ft

Answer:

Formula of rectangle :-

l ×b

80/100 × 15 ×b

8/10 × 15 ×b

80/100 × 15 =b

8/10 ×15 =b

4/5 × 15 =b

4 × 3 = b

b = 12feet

b = 12 feet

what Is the answer to 7ft +4ft + 10ft​

Answers

Answer:

it is 21ft

Step-by-step explanation:

Answer:

21 Ft

Step-by-step explanation:

7ft +4ft + 10ft​

7+4 = 11

11 + 10 = 21

21 Ft


16. (it’s a triangle)
x
x + 4
X-1
x + 2
what is x?

Answers

Answer:

im sorry i don't know the answer i just need to do this so that i can ask my question pls forgive me

The diagram shows a door lock.
А
B
1
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1) You must write all of your answers on one line.

Answers

Answer:

(A, 1); (A, 2); (A, 3); (A, 4); (B, 1); (B, 2); (B, 3); (B, 4)

Step-by-step explanation:

What a tedious question...

For each ordered pair, determine whether it is a solution to y=-8

Answers

Answer:

that is the first one and the last one.

Step-by-step explanation:

we have to check which ones have negative eight as y values so that is the first one and the last one.

if my answer helps please mark as brainliest.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

The ordered pair that is a solution to y = -8 are:

(5, -8) and (-7, -8).

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

y = -8

We have the ordered pairs:

(5, -8), (-8, 9), (0, 6), and (-7, -8).

Now,

The solutions to y = -8.

y = -8 is a constant function.

This means,

Any value of x will give -8.

Now,

The ordered pair that is a solution to y = -8 are:

(5, -8) and (-7, -8).

Learn more about solutions to equations here:

https://brainly.com/question/545403

#SPJ2

Please help I’ll mark you as brainliest if correct !!

Answers

Answer:

A= 105 in^2

B= 50 in^3

Step-by-step explanation:

Surface area is the area of all sides added

Volume is LengthxWidthxHeight divided by three

This...is confusing

Answers

The answer is 82
Explanation:
180-143 would be the angle measurement of A, add angle measures A and C together, then subtract by 180 to get the missing angle measurement

Answer:

82

Step-by-step explanation:

When finding a triangle's missing angle, you first have to know that all of the angles add up to 180. Then, you add the other sides, and subtract that from 180 to get the missing angle. But in this case... Your missing two... but given one other angle. So, because a straight lines angle is 180, you would take 143 and subtract it from 180 to get the other side. There is also more steps... and sorry for not explaining further... but it would take a pretty long time...

180-143=37

A=37

37+61+_=180

37+61=98

180-98=82

The missing angle is 82 degrees

what is the answer what is the answer answer anwser

Answers

Answer: Z
explanation:

Answer:

Z

Step-by-step explanation:

which is the correct value of x

Answers

Answer:

14 is your answer pal

7x=98

X=14

The answer is b definitly

4) Check all the equations below that are equivalent to:
3(2+1) = 15 - 26
(Select all that apply)
3+3(1+t) = 15 - 26
6+ 3t = 6 + 70-5t+ 9
3(2+1) +7= 15 - 20 + 7
ht=9

Answers

The 1st and 3rd ones I think correct me if I’m wrong
The I and 3 ones I got a long time ago

Select the fraction that is equivalent to one half.

Question 1 options:

two fourths

three fourths

four sixths

two halves

Answers

Answer:

2/4 = 1/2

Step-by-step explanation:

The following are a list of variables that will almost certainly vary across students in a large undergraduate introductory statistics course.
(a) Favorite beverage
(b) Year of birth
(c) Typing speed
(d) Handedness (e.g., left or right-handed)
(e) Age
(f) Occupation
(g) Self-report of Assertiveness
For questions 1a to 1d that follow choose the variable or variables that best represent the level of measurement.
a) Which variables would typically be measured on a nominal scale of measurement?
b) Which variable would likely be measured on an interval, but not a ratio scale?
c) Which two variables are most likely to be measured on a ratio scale?
d) As typically measured, which variable represents at least an ordinal scale of measurement, but probably not a true interval scale?

Answers

Answer:

a.) Favorite Beverage, Handedness, Occupation.

b.) Year of birth

c.) Age and typing speed

d.) Self-report of Assertiveness

Step-by-step explanation:

Scales of measurements are used in statistics to classify variables. The scale of measurement of a variable is important in statistics because it determines the kind of satisfaction analysis that should be used on it.

The four types of scale of measurement are;

1.) Norminal Scale: The normal scale is a categorical scale where variables are labeled with no specific order. No calculations can be done on this type of measurement because they do not have values and there is usually no order. Examples include;

Occupation, Favorite Beverage and Handedness.

2.) Ordinal Scale: This is used to show the order of variables. It is similar to the norminal scale with a slight difference. The ordinal scale has some form of ranking, that is some variables will be considered better or higher than others. Example include;

Self-report of assertiveness. Someone that claims to be highly assertive can be ranked above one that is just assertive.

3.) Interval Scale: This kind of measurements shows definite intervals between variables. It is like a scale where the order and the difference between variables are shown with no true zero value. Variables that fall under this category include; temperature and year of birth.

4.) Ratio Scale: This is the most accurate scale of measurement that encompasses the norminal, ordinal and interval scale of measurement. It has a zero value, shows order, interval and can still categorized. And example is the Age of students and typing speed.

What elements, found on the right side of the periodic table, usually accept electrons and have a negative valence? A. metals B. nonmetals C. metalloids D. alkaline metals

Answers

ANSWER:Non ElementsNOTES:With the exception of HYDROGEN, the elements on the left side of the periodic table are METALS. Elements on the right side of the periodic table are NONMETALS.

What is the degree of this monomial? 20x

Answers

Answer:

1

Step-by-step explanation:

Point A is at ( -3, -5) and point M is at (-0.5, 0).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answers

Answer:

B(1.25,5)

Step-by-step explanation:

y... -5, 0, 5

x... -0.5, 1.25, 3

Answer:

The endpoint coordinates are (2,5)

Step-by-step explanation:

You can use Omni calculator its completely free and it gives the exact answer.

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint.

This is really easy but I’m lazy

Answers

Answer:

D

Step-by-step explanation:

it does not matter which side you put the eight.

What is the positive solution to the equation -22 – 3?
3
-1
-3
1

Please help
15pts

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the quadratic equations.

Since, as the question told,

=>

[tex] \frac{ {x}^{2} }{3} - 3 = 0[/tex]

hence now solving we get as,

[tex] \frac{ {x}^{2} }{3 } = 3 [/tex]

now, we get as,

[tex] {x}^{2} = 9[/tex]

now, then

[tex] \sqrt{ {x}^{2} } = \sqrt{9} [/tex]

so finally, positive value of x is 3

Can someone help me please

Answers

Answer:

x= 13, angle 1= 37, and angle 2= 53

Step-by-step explanation:

So you have 2x+11+1+4x=90 degrees

If you simplify it, it becomes 6x+12=90 degrees

Then, you rearrange; 6x=90-12 or 6x= 78

So then, x=13

For angle 1 its 2x+11= 37 degrees

And angle 2 is 1+4x= 53 degrees

If the ratio of teachers to students on a field
trip is 3:40. How many teachers are on the field
trip if there are 160 students present?

Answers

Answer:

12 teachers

Step-by-step explanation:

3: 40 = x:160

160/40 = 4

3*4 = 12

Answer is 12 teachers

Answer:

12 teachers!

Step-by-step explanation:

I’ve been stuck in this question. Please help me.

Answers

D. They are congruent triangles


School sucks doesn’t it?

Answer:

They are congruent triangle

Step-by-step explanation:

They are congruent because they have the same measurements for angles and sides.

5 Alysha has 1.46 pounds of apples, 1.5 pounds of oranges, and some peaches and plums. Part A Alysha has more pounds of peaches than pounds of apples, but fewer pounds of peaches than pounds of oranges. How many pounds of peaches could Alysha have? Show your work. pounds of peaches Answer: Part B Alysha has 1.08 pounds of plums. Which comparison is true about the weights of the fruit Alysha has?​

Answers

Answer:

1.46 < p < 1.5

Step-by-step explanation:

Pounds of apple = 1.46

Pounds of oranges = 1.5

Some peaches and plum

More pounds of peaches than pounds of apple ; that is pounds of peaches > 1.46

Fewer pounds of peaches Than pounds of oranges;

Peaches < 1.5

Let pounds of peaches = p

1.46 < p < 1.5

If Alysha has 1.08 plums ;

Then ;

Plum < apple < peaches < oranges

please help asap!!!!!

Answers

Answer:

the area = 25

Step-by-step explanation:

a= side length x side length

a = 5 x 5

a = 25

It’s 25 hope that helps


Which of the following is most likely the next step in the series?

Answers

A. think of it like a clock
A if you think of it like a clock only one of the lines move to the left

2. Candles normally cost £6 each.
Two websites have special offers:
Candles R Us has 20% off
Waxz has a special offer, buy 3 get 1 free
Laura wants to buy 30 candles
Which website should Laura use​

Answers

Answer:  candies are us has a better offer

Step-by-step explanation:

for the candies r us website, the price of the candies is 30*6 then times 0.8=$144

and for waxz, if you buy 3 get 1 free, then you at least have to buy 3 candies 9 times, and that would be 18*9 which equals 162, which is more expensive then waxz

hope this helps!

please make me brainliest! thanks!

60° X48° 72° x = degrees​

Answers

180 - 48 = 132

x = 132°

Which graph represents a function

Answers

the second one on the top row

Answer and Step-by-step explanation:

The graph to the top right is a function.

This is a function because it a straight, connected line.

The First graph isn't a function because the lines are connected, and doesn't pass the horizontal test.

The Bottom left graph isn't a function because there are two lines and they intersect.

The Bottom right graph isn't a function because there are points but aren't connected.

#teamtrees #PAW (Plant And Water)

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