What is 4 - 2 and 1/4 I really need to know please

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: A C and E (1st choice)

Step-by-step explanation:

Answer:

2x² + 13x + 15

Step-by-step explanation:

| 2x | 3

x | 2x*x = 2x² | 3*x = 3x

5 | 2x*5 = 10x | 3*5 = 15

We have, 2x² + 3x + 10x + 15

Combining like terms, we would have the final expression as:

2x² + 13x + 15

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:

1.243 cm

Step-by-step explanation:

The surface area of a cylinder is the sum of the area of the two congruent circular bases and the rectangular lateral area.

[tex] SA = 2\pi r^2 + 2 \pi rh [/tex]

[tex] SA = 2\pi r(r + h) [/tex]

We are given the surface area and the diameter.

r = d/2 = 7 cm / 2 = 3.5 cm

We can solve for h, the height.

[tex] SA = 2\pi r(r + h) [/tex]

[tex] 2\pi r(r + h) = SA [/tex]

[tex] r + h = \dfrac{SA}{2\pi r} [/tex]

[tex] h = \dfrac{SA}{2\pi r} - r [/tex]

[tex] h = \dfrac{104.3~cm^2}{2(3.14159)(3.5~cm)} - 3.5~cm [/tex]

[tex] h = 1.243~cm [/tex]

Answer:

AC = 7.29 in

AB = 11.58 in

Step-by-step explanation:

tan 51 = 9/AC

1.2349 = 9/AC

AC = 7.29 in

sin 51 = 9/AB

0.7771 = 9/AB

AB = 11.58 in

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:

the answer is .............a

Step-by-step explanation:

Answer:

C and G

Step-by-step explanation:

not completely sure if this is correct but i think so lol

so 10% of 200 is 20 because 200*.10=20 , so your first payment would be 20 dollars.

your second payment is 25% of 200 which is 50 because 200*.25=50

adding those two payments together you get 70 dollars , meaning that you need 130 more dollars.

65% of 200 is 130 dollars , so I believe that C and G would be your correct answers

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:

2, 70

Step-by-step explanation:

It is given that :

At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.

Therefore this gives the equation :

y = 5x +60 ..........(1)

At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.

So the equation will be :

y = 10x + 50.......(2)

Solving (1) and (2), we get

 5x + 60 = 10x + 50

⇒ 60 - 50 = 10x - 5x

⇒ 10 =  5x

∴ x = 2

Now putting the value of x = 2 in equation (1), we get

y = 5x +60

y = 5(2) +60

y = 70

Therefore, (x, y) = (2, 70)

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:

B. E' ( -1, 1)

Step-by-step explanation:

5 to the left =

4 - 5

2 up =

-1 + 2

good luck, i hope this helps :)

Answer:

r>12    or    r<−4

Step-by-step explanation:

Answer: 64 days

Step-by-step explanation: 1/8 every day, so he has 1 bag per 8 days, 8 bags, so 8x8 = 64 days.

Answer:

I think 12 I don't know if it's right or not but I tried

Answer:

its 105 :)

Step-by-step explanation:

its 100% correct <3

Answer:

the test statistic is  0.48

Step-by-step explanation:

Given that;

sample size n = 15

slope of regression b1 = 1.24

Standard of error SE = 2.59

now,

The hypothesis;

Null hypothesis H₀ : B1 = 0

Alternative hypothesis H₁ : B1 ≠ 0

If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.

Test Statistic

t = b1 / S.E

we substitute

t = 1.24 / 2.59

t = 0.4787 ≈ 0.48

the test statistic is  0.48

Answer:

Four-door sedan = 22

Two-door coupes = 6

Step-by-step explanation:

This is an algebra problem.

Let "x" represent number of four-door sedan,

"y" represent two-door coupe.

Since there are total of 28 autos on which film is applied, we have:

x + y = 28                                         Equation 1

y = 28 - x                                          Equation 2

Also provided,

Total revenue = $3,459.72

That means,

129.99x + 99.99y = 3,459.72          Equation 3

Putting value of "y" from Equation 2 in Equation 3 we have:

129.99x + 99.99(28 - x) = 3,459.72

129.99x + 2,799.72 - 99.99x = 3,459.72

30x = 660

x = [tex]\frac{660}{30} = 22[/tex]

Therefore, number of four door sedans = 22

Further y that is two door sedan = 28 - x = 28 - 22 = 6

Answer:

2/45

Step-by-step explanation:

divide both sides by 2

4/2=2

90/2=45

2/45

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:

[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:

25.13

Step-by-step explanation:

C=2πr=2·π·4≈25.13274cm

Answer:20

Step-by-step explanation: If you have a calculator its easy

Answer:

28.5% or you can divide to get your answer

Step-by-step explanation:

so first all you have to do is figure out what 2/7 Is, 2/7= 28.5%

Answer:

X= 82°

Step-by-step explanation:

Since we know ∠DAB is 41°, we also know that ∠CBA is 41°, since they must be equal.  This tells us that the bottom angle of that triangle must be 98°, since the sum of all interior angles must equal 180°.  Since this angle is supplementary to x, we know that x must equal 82°.

Answer:

True

Not true

true

True

Step-by-step explanation:

Answer:

I think the answer is 2

x=1

Step-by-step explanation:

2x=2x

divide

x=1

plug it in

1×2

Answer:

it will take her 16 days

Step-by-step explanation: