can someone help :(!

Answer:

a) 0.34 = 35% probability that at least one member of a married couple will vote.

b) 0.7143 = 71.43% probability that a wife will vote

c) 0.0968 = 9.68% probability that a husband will vote

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for itens B and C. For item a, we treat the probabilities as Venn sets.

A) What is the probability that at least one member of a married couple will vote?

I am going to say that:

Event A: Husband votes.

Event B: Wife votes.

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

The probability that the wife will vote on the referendum is 0.28

This means that [tex]P(B) = 0.28[/tex]

The probability that both the husband and the wife will vote is 0.15.

This means that [tex]P(A \cap B) = 0.15[/tex]

At least one votes:

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]

[tex]P(A \cup B) = 0.34[/tex]

0.34 = 35% probability that at least one member of a married couple will vote.

B) What is the probability that a wife will vote, given that her husband will vote?

Here, we use conditional probability:

Event A: Husband votes:

Event B: Wife votes

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

Intersection of events A and B:

Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]

0.7143 = 71.43% probability that a wife will vote.

C) What is the probability that a husband will vote, given that his wife does not vote?

Event A: Wife does not vote.

Event B: Husband votes.

The probability that the wife will vote on the referendum is 0.28

So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]

Probability of husband voting and wife not voting:

0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]

0.0968 = 9.68% probability that a husband will vote

Answer:

64 ways

Step-by-step explanation:

there are 8 different colors, with 8 different possibilities on the color arrangement.

Given parameters :

To find :

Solution with details :

Let us take the age of Donny as x years - i

According to the given question we have ,

Total ages of three people = Sum of their ages

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

Answer:

y = 16.3

Step-by-step explanation:

We would apply the formula for altitude of a right triangle which is given as:

h = √(xy)

Where,

h = 14

x = 12

y = y = ?

Plug in the values

14 = √(12*y)

14² = (√(12*y) (squaring both sides)

196 = 12*y

196/12 = 12y/12 (division property of equality)

16.3 = y (nearest tenth)

y = 16.3

Answer: the slope should be 6 I’m sure

Step-by-step explanation:

Answer:

y

=

−

6

x

−

1

Step-by-step explanation:

x-1

Answer:

27

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event. In this case, (M)(N)(O).

There are 27 possible outcome if the spinner is spun three times.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A spinner has three sections colored green, purple, and pink.

From the general formula of probability:

Probability = (desired outcomes)/(Total outcomes)

In our case,

the three possible outcomes of this event occurring are Green, Purple, and Purple, Green.

The desired outcomes = 3

The total outcomes = 3 x 3 x 3 = 27

Learn more about probability here:

brainly.com/question/30034780

#SPJ6

Step-by-step explanation: amazon they have everything

Answer: 8(8p-3)

Step-by-step explanation:

64p and 24 are both divisible by 8

64p/8 = 8p

24/8 = 3

8(8p) - 8(3)

Distributive property

8(8p-3)

Answer:

5

Step-by-step explanation:

because use the calculator pls ......................

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

Answer:

B

Step-by-step explanation:

I Had this

Answer:

A =224 in ^3

Step-by-step explanation:

Answer:

56in squared

Step-by-step explanation:

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

d)550

15 * 10 = 150; 150 * 2 = 300

5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

Answer:

if this is regular multiplication the answer is 1,800

Step-by-step explanation:

Answer:

Answer is A easy A A A A A A A

Answer:

Place Value of 5 in 1325 is 'Thousands'

Answer:

Can you put the picture of the triangle up

Step-by-step explanation:

I'll change my answer then

DON'T REPORT ME

Answer:

i need a picture to awnser your question

Step-by-step explanation:

Answer: I think it might be A bit Im not sure

Step-by-step explanation:

Answer:

i think its A not suree

Step-by-step explanation:

Answer:

hot weather-scant clothing

scarce food-conservation and hospitality

many lakes-use boats for trade

tall tree's with fruit-climbing skills

Step-by-step explanation:

The nature and characteristics of a specific ecosystem often has a telling effect on the behavior, attitude and culture of the residents. The correct matching principles are :

Learn more : https://brainly.com/question/13979184?referrer=searchResults

Answer:

The Ratio you are looking for is 5:8

Step-by-step explanation:

Answer:

6: azul

20: lila o morado

The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).

Scale factor = 4

Here, X(3, -4)→4(3, -4)→X'(12, -16)

Y(6, 5)→4(6, 5)→Y'(24, 20)

Z(8, -2)→4(8, -2)→Z'(32, -8)

Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

k would be located at

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3