An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.

a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.

Answer:

Step-by-step explanation:

First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.

Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).

Hope this helps!

:)

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

Answer:

C) 93o

Step-by-step explanation:

Trust the process

edge 2021

Answer:

Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D

Answer:

x = 13

Step-by-step explanation:

[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]

Answer:

Step-by-step explanation: i don’t know to be honest

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

Answer:

What are the numbers?

Step-by-step explanation:

I can help if you give the numbers :)

Answer:17

Step-by-step explanation:

Because i know its the right answer and i guessed sorry if its wrong

Answer:

17

Step-by-step explanation:

Answer:

19[tex]\frac{1}{4}[/tex] or 18[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

First, add the whole numbers

3, 7, and 8

18

Add the fractions

[tex]\frac{1}{2}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{5}{4}[/tex]

IF YOU WANT SIMPLIFIED NUMBER DO THIS

[tex]\frac{5}{4}[/tex]=1[tex]\frac{1}{4}[/tex]

18+1[tex]\frac{1}{4}[/tex]=19[tex]\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

Answer:

20%

Step-by-step explanation:

110-88=22

22/110=20

Answer:

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!

Answer:

Step-by-step explanation:

given=  -3(2n-3)=25-8n

distributive property=-6n+9=25-8n

subtraction property= 2n+9=25

division property =2n=16

n=8  

Answer:

From the box plot we get:

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

Answer:

m∠QRS = 139°

Step-by-step explanation:

yes

Answer:

1/5

Step-by-step explanation:

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9.  This is the 'run.'

At the same time, we see y decreasing by 3.  This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

Answer: b

Step-by-step explanation:

becuz now brainliest

The transformation of a function may involve any change. The correct option is A.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,

h(x) = f(x) + 1

The function is shifted up by 1 unit.

Hence, the transformation of the function is correctly described in the first option.

Learn more about Transforming functions:

https://brainly.com/question/17006186

#SPJ5

Answer:

-9/10

Step-by-step explanation:

12/20 - 30/20

Since the denominators are the same, we can subtract the numerators

12-30 = -18

Put this over the denominator

-18/20

Simplify by dividing the top and bottom by 2

-9/10

Answer:

All of them are true.

Step-by-step explanation:

x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.

For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.

For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.

This means that all of the statements are true.

Answer:

3.897 [tex]in^{2}[/tex]

Step-by-step explanation:

equilateral triangles are also equiangular, meaning the have equal angles.

Triangle sum theory says that angles of a triangle add up to 180.

That means each angle is 60.

A = bh/2

You need the (h). The base of is 3.  Perimeter = 9, so each side is 3

Draw a perpendicular line for the height. The line cuts the base in half (1.5)

Using trigonometry you can find the height.

tan 60° = h/1.5

h = height, 1.5 is half of 3, 60° is the base angle.

multiply each side by 1.5

1.5(tan 60°) = h

h=2.598

then substitute h into formula

A= (2.598)(3)

           2

A = 3.897 rounded

Answer:

(-2, -2)

Step-by-step explanation:

To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.

-8/4=-2

Answer:

It would be (-2, -2)

Answer:

2(2x+7)=4x+14

2(3x+8)=6x+16

4x+14+6x+16

4x+6x+14+16

The answer is:

10x+30

Answer:

C. 24%

Step-by-step explanation:

hope it works

Answer:

39%

Step-by-step explanation:

mean=7

Answer:

n=4

sum =11+7+2+8=28

MEAN=sum/n=28/4=7

Answer:

The Mean is 7.

Step-by-step explanation:

Mean, or average is when you find a number that is reperesentative of the set as a whole.

To find this we add up all the values and divide it by how many values there are.

11 + 7 + 2 + 8 = 28

28/4 = 7

Answer:

The ending temperature was -6 degrees Fahrenheit.

Step-by-step explanation:

First, it was -8 degrees

Then, it was -8+10=2 degrees

Lastly, it was 2-8=-6 degrees