Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.

For which of the following sample sizes will the sampling distribution be approximately normal?

Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/

A) 25
B) 50
C) 75

Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²

Answer:

34

Step-by-step explanation:

Angle XYZ is an inscribed angle and arc XZ is the arc it intercepts

An inscribed angle is equal to half the measure of its intercepted arc

Hence Angle XYZ = half of arc XZ

If arc XZ = 68 then angle XYZ = half of 68

68/2=34

XYZ = 34

Answer:

I assume you'd already figured out the other questions so you just don't understand the question E

Step-by-step explanation:

The product of the first 2 numbers its stating is -28 and 48, and it's asking if the product (multiply -28 by 48 to get the product) is equal to the HCF and LCM you got in the previous answer.

Answer: B

Step-by-step explanation:

The transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle ABC has undergone a transformation to form A'B'C' we need to identify the steps of transformation

So, considering the point B and B', we see, that, x-coordinate of B is at 5 and that of B' is at 1, that mean there is a shift of 4 units left,

Now, consider the y-coordinate, we see, that B is at 9 and B' is at 7 that gives a downward shifting of 2 units.

Hence, the transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

Learn more about transformation click;

https://brainly.com/question/11709244

#SPJ7

Answer:

scale factor= /2

Step-by-step explanation:

The scale factor is 1/2, which is equivalent to 0.5

Answer:

the number of senors is 150

Step-by-step explanation:

call the number of seniors is a

we have number of juniors is 4/3a

number of sophomores is 3/2*4/3*a=2a

number of freshmen is also =2a

sum of all studens in that school = a+4/3a+4a=950

a=150

Answer:

D). The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

Given that,

Height of the tower = 98 m

Distance traveled by plane = 83 m

The distance of the take-off point from the tower = 42m

This shows that it forms a right-angled triangle with

Base(B) = 42m

Hypotenuse(H) = 83m

To find,

The height of this triangle(x) = ?

Using Pythagoras theorem, we know that,

B^2 + x^2 = H^2

⇒ x^2 = H^2 - B^2

⇒ x^2 = (83)^2 - (42)^2

⇒ x^2 = 6889 - 1764

⇒ x = [tex]\sqrt{6889 - 1764}[/tex]

∵ x = 71.58 m

Thus, the height difference from the position of the plane to the tower = 98 - 71.58

= 26.42 m

Thus, option D i.e. 'the plane's height must be 27m above the tower' is the correct answer.

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

Answer:

B and C

Step-by-step explanation:

A = 192

B = (563 - 200) + 8 = 371

C = 571 - 200 = 371

Answer:

10/3, 39/12, 19/6, 75/24, 109/36

Step-by-step explanation:

Lets simplify:

10/3 = 3 1/3

39/12 = 3 3/12 = 3 1/4

19/6 = 3 1/6

75/24 = 3 3/24 = 3 1/8

109/36 = 3 1/36

Answer:

ASA

Step-by-step explanation:

if you understood the other, similar questions now, this one is really, really easy.

we got the confirmation for 2 angles and the side between these angles.

so, angle side angle or ASA

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Step-by-step explanation:

Side a is across from angle A, and side c is the hypotenuse. The trig ratio that utilizes the side opposite and the hypotenuse is the sin of an angle, namely:

[tex]sin(30)=\frac{28}{c}[/tex] and solving that for c:

[tex]c=\frac{28}{sin(30)}[/tex] so

c = 56

Answer:

1) x= -7/5  

Step-by-step explanation:

−5x-7=0

-5x=7

x=-7/5

Answer:

D

Step-by-step explanation:

To find the zero let y = 0 , that is

- 5x - 7 = 0 ( add 7 to both sides )

- 5x = 7 ( divide both sides by - 5 )

x = [tex]\frac{7}{-5}[/tex] = - [tex]\frac{7}{5}[/tex] → D

please check the attachment for solutions

Answer:

Last option, y > -3/2x+1

That's the answer you're looking for

Answer:

The y intercept is (0,5)

Step-by-step explanation:

f(x) = 5 * (1/6)^x

What is the y intercept?  Let x = 0

f(0) = 5 * (1/6)^0

f(0) = 5*1 = 0

The y intercept is (0,5)

Answer:

x = 0

Step-by-step explanation:

-2(2 − 2x) = 4 − 8(1 − x)

Apply the distributive property:

−2(2 − 2x) = 4 − 8(1 − x)

(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)

−4 + 4x = 4 + (−8) + 8x

Combine like terms:

4x − 4 = (8x) + (4+−8)

4x − 4 = 8x + (−4)

4x − 4 = 8x − 4

Subtract 8x from both sides:

4x − 4 − 8x = 8x − 4 − 8x

−4x − 4 = −4

Add 4 to both sides:

−4x − 4 + 4= −4 + 4

−4x = 0

Divide both sides by -4:

-4x/-4 = 0/-4

x = 0

Answer: 0

Step-by-step explanation:

Answer:

120.40 per payment

Step-by-step explanation:

Subtract the down payment

642 - 160.40

481.60

Divide this by 4

481.60 / 4

120.40

Answer:

A

Step-by-step explanation:

(f(-3+h)-f(-3))/h=(5(-3+h)^2-5(-3)^2)/h=(5*(-3+h-3)(-3+h+3))/h=-30*h/h=-30

Step-by-step explanation:

5r + 10 = 65

5r =65 - 10

r = 55/5

r = 11

Answer:

r=11

Step-by-step explanation:

you first have to work with the brackets and then group the like terms

5(r+2)=8+57

5r+10=65

5r/5=65-10

5r/5=55/5

r=11

I hope this helps

Answer:

Price elasticity of demand = 1

Step-by-step explanation:

Old quantity demanded = 200

New quantity demanded = 150

Old price = 8

New price = 10

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

percentage change in quantity demanded = change in quantity demand / old demand × 100

= 50/200 × 100

= 0.25 × 100

= 25%

percentage change in price = change in price / old price × 100

= 2/8 × 100

= 0.25 × 100

= 25%

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

= 25% / 25%

= 1

Price elasticity of demand = 1

Answer:

Step-by-step explanation:

[tex]f(x)=\frac{x+9}{7-4x} \\put ~f(x)=y\\flip~x~and~y\\f(y)=x\\y=f^{-1}(x)\\y=\frac{x+9}{7-4x} \\flip~x~and~y\\x=\frac{y+9}{7-4y} \\x(7-4y)=y+9\\7x-4xy=y+9\\-4xy-y=9-7x\\or\\4xy+y=7x-9\\y(4x+1)=7x-9\\y=\frac{7x-9}{4x+1} \\or~f^{-1}(x)=\frac{7x-9}{4x+1}[/tex]

Answer:

x is 11

Step-by-step explanation:

[tex]{ \tt{10 + 5 + x = 26}} \\ x = 11[/tex]

Answer:

1 1/4 cups I think..

Step-by-step explanation:

1/4 times 4 is 1, plus another 1/4 for the 5th friend is 1 1/4 cups.

Answer:

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

Step-by-step explanation:

This question asks how much total sugar will be needed for 5 servings of 1/4 cup. In other words, this is asking for 1/4 cup to be added together 5 times. However, repeated addition is just multiplication, so this can become a multiplication problem. To do this make both terms a fraction by putting 5 over 1. This looks like: [tex]\frac{5}{1} *\frac{1}{4}[/tex]. Then, simply multiply the numerators together and the denominators together. This equals [tex]\frac{5}{4}[/tex]. If needed this can be put into the mixed fraction of [tex]1\frac{1}{4}[/tex] cups.

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

Answer:

763 feet

Step-by-step explanation:

Volume of cylinder  = πr2h

π(18/2)^2 x 3

= 763 feet

Answered by Gauthmath

Answer:

11.55

Step-by-step explanation:

Answer:

[tex] { - 2x}^{2} - {8x}^{3} + 6x \\ {x }^{2} - {8x}^{3} + 6x[/tex]

Step-by-step explanation: