Pl help it’s for a grade

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:

The answer is c

Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula to get the answer i hope this helps

Hey there!

The answer is C.

To factor an expression, you take the root (same as exponent variable has) of the terms and put them into parantheses. We can also check the choices to see if they're correct by solving them.

A is incorrect, because if you solve it, you would have [tex]x^2-121[/tex]

B is incorrect, because if you solve it, you would have [tex]121x-x^2[/tex]

C is correct, because if you solve it, you would have [tex]121-x^2[/tex]

D is incorrect, because it CAN be factored.

Have a super awesome day! :)

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-integer

2-rational

3-whole

4- irrational

Answer:

-4i

Step-by-step explanation:

Answer:

14i

Step-by-step explanation:

(-2+5i)-(-2+9i)

remove () because they are unneeded

-2+51--2+9i

-2+5i+2+9i

0+14i

14i

Answer:

x  =  − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

Answer.

The school but would have been driving at about 81 miles per hour.

Fun note.

The bus driver would have gotten a speeding ticket on almost all national highways in America if they were going at that speed.

Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

k would be located at

Answer:

A

Step-by-step explanation:

Easy method for this question is to plug the point (-1,7)

Plug -1 as x and hope we can get 7

[tex]y =-2(-1+1)^{2}+7\\y=7\\[/tex]

Answer:

okay, so given we have that she has already sold $35 worth of tickets. We know that she has seven tickets left to sell, and each is worth $5. So, we would do 7×$5=$35

Next, we would add $35(from the previous money she has made) and $35 (the money she just made from the 7 tickets) and that would equal $70

equation: y=35+7(5)

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️☁️☁️

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

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:

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

Answer:

10.8 in³

Step-by-step explanation:

2x2x2.7=10.8

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:

36°

Step-by-step explanation:

let x be the required angle then

x = [tex]\frac{2}{3}[/tex] ( 90 - x)  [ complementary angles sum to 90° ]

x = 60 - [tex]\frac{2}{3}[/tex] x ( add [tex]\frac{2}{3}[/tex] x to both sides )

[tex]\frac{5}{3}[/tex] x = 60 ( multiply both sides by [tex]\frac{3}{5}[/tex] )

x = 36°

note 36° is [tex]\frac{2}{3}[/tex] of 54°

Answer:

the number is 10.

Step-by-step explanation:

2(x + 7) = 3(x - 8)

2x + 14 = 3x - 24

2x = 3x -10

x = 10

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:

5

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]

Step 2: Simplify

We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.

Answer:

(-2,5)

Step-by-step explanation:

Answer:

2x+3

Step-by-step explanation:

[tex](6x+6)+(-3-4x)=2x+3[/tex]

Answer:

if this is regular multiplication the answer is 1,800

Step-by-step explanation: