Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 95 people in the 18-21 age bracket and finds that 81 of them respond and 14 refuse to respond. When 287 people in the 22-29 age bracket are contacted, 269 respond and 18 refuse to respond. Assume that 1 of the 382 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who responds. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. P(18-21 or responds) = %

9514 1404 393

Answer:

  (a)  15

Step-by-step explanation:

Each of the marked angles is an exterior angle of the polygon. The sum of exterior angles is always 360°. We can use that fact to write the equation.

  4x° +77° +59° +6x° +74° = 360° . . . . . an equation to find x

  10x + 210 = 360 . . . . . . . . . . . . . . divide by °, collect terms

  x + 21 = 36 . . . . . . . . . . . . . . . divide by 10

  x = 15 .  . . . . . . . . . . . . . . subtract 21

_____

Comment on the sum of exterior angles

Imagine the figure shrunk smaller and smaller until all of the angle vertices are the same point. You can see that those angles will completely fill the angular space around that central point, so they must have a sum of 360°.

Step-by-step explanation:

[tex] \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} [/tex]

Answer:67.5

Step-by-step explanation:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Answer:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.55*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Step-by-step explanation:

Answer:

729

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

each piece weighs 3.6 ounces

Answer:

3.6

Step-by-step explanation:

28.8/w=8

8w=28.8

w=28.8/8

w=3.6

Answer:

8 multiply 6 =(8 multiply 3)+(8 multiply 3)=4

Answer:

$28.80 I hope that helps if not I'm sorry if it's wrong

Step-by-step explanation:

we write "dollars per cubic yard" as "dollars/yd^3" so that the units "yd^3" will cancel when multiplying by "1.2 yd^3", leaving an answer in units of dollars

24 dollars / yd^3 * 1.2 yd^3 = 28.80

the cost would be $28.80

Answer:

Step-by-step explanation:

we have a circle inscribed in a square

Area of the square

Asquare=14*14=196

Acircle=3.14*r^2  

r=14/2=7

Acircle=3.14*7^2=153.94

A shaded=196-153.94=42.06

Answer:

I think this question is incomplete or maybe incorrect but if it's OK then the answer would be 7x + 5y.

Step-by-step explanation:

the answer remains the same because the question has no like terms so no further calculations can be made.

as uve not shown no options it shud be round bout 2350000

Step-by-step explanation:

Answer:

2,350,000

Step-by-step explanation:

this is the answer I believe

Answer:

The next 3 terms from the geometric sequence below.

3

2

,

1

,

0

1

2

,

3

.

Step-by-step explanation:

The next 3 terms of the geometric sequence are [tex]\frac{1}{4} , -\frac{1}{8}, \frac{1}{16}[/tex].

'A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.'

According to the given problem,

The terms are, -2 , 1 , - [tex]\frac{1}{2}[/tex] ....

Now, geometric sequence means that there is a common ratio between the numbers in the sequence.

Common ratio can also be denoted as r.

so, from -2, the next term is -2 × r and the one after this is -2 × r × r and so on.

If we compare, -2 × - [tex]\frac{1}{2}[/tex] = 1

                           1 × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{2}[/tex]

                           -[tex]\frac{1}{2}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

                            [tex]\frac{1}{4}[/tex] × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{8}[/tex]

                           -[tex]\frac{1}{8}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{16}[/tex]

Hence, we can conclude that the next three terms are, [tex]\frac{1}{4}[/tex] , -[tex]\frac{1}{8}[/tex] ,  [tex]\frac{1}{16}[/tex].

Learn more about geometric sequence here:

https://brainly.com/question/13008517

#SPJ2

Answer:

12x+9

Hope you got your answer!

Answer:B) . 75°

Step-by-step explanation:dfghjkjhgfdfgty

Answer:

its 80

Step-by-step explanation:

i did it on usa test prep

Answer:

the answer will be 9.6 cm

Answer:

2.75x+122.5

Step-by-step explanation:

Horse=x

Stork=x+70

Whale=3/4(x+70) = 0.75(x+70) = 0.75x+52.5

x+x=70+0.75x+52.5

2.75x+122.5

Answer:

2.75h + 122.5, where h = lifespan of a horse

Step-by-step explanation:

The whale's lifespan is given in terms of the stork's.

The stork's lifespan is given in terms of the horse's.

Start by assuming a variable for the lifespan of a horse.

Let h = the lifespan of horse in years.

A horse lives h years.

A stork lives 70 years longer than a horse. A stork lives h + 70 years.

A whale lives 3/4 of the lifespan of a stork. A whale lives for (3/4)(h + 70) years.

Now that you have an expression for the lifespan of each animal, the total lifespan of the three animals is the sum of the three lifespans.

total lifespan = h + h + 70 + (3/4)(h + 70

Now we simplify the right side.

total lifespan = 2h + 70 + (3/4)h + (3/4)(70)

total lifespan = 2h + 70 + 0.75h + 52.5

total lifespan = 2.75h + 122.5

Answer: 2.75h + 122.5, where h = lifespan of a horse

Answer:

y=6

standard form

Answer:

2:1

Step-by-step explanation:

60:30 = 2:1

Answer:

the answer is 2 : 1

Step-by-step explanation:

good luck!

Answer:

7/5

Step-by-step explanation:

140 by 100

cutting methord

cut the zeros, then divide by 2.

Answer: 10/2

Step-by-step explanation:

Step-by-step explanation:

All you have to do is to multiply the length times width times height to get the area. So its 6 x 20 x q1/4 ft = 30q. Hope this helps.

Answer:

1. 4

2. 5

3. 9

Step-by-step explanation:

1.

4(x+3y)

4x+12y=4x+12y

2.

5(7x+10y)

35x+50y=35x+50y

3.

9(2x+y)

18x+9y=18x+9y

i hope this helps!

Answer:

I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'

Answer:

D

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

dont trust me i dont know the answer sry

Answer:

ya

Step-by-step explanation:

Answer:

[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2-13\text{ and } g(x)=5x+1[/tex]

And we want to find:

[tex]\displaystyle (fg)(-\frac{1}{5})[/tex]

This is equivalent to:

[tex]\displaystyle =f(-\frac{1}{5})g(-\frac{1}{5})[/tex]

By substitution:

[tex]\displaystyle f(-\frac{1}{5})=(-\frac{1}{5})^2-13=\frac{1}{25}-13=-\frac{324}{25}[/tex]

And:

[tex]\displaystyle g(-\frac{1}{5})=5(-\frac{1}{5})+1=-1+1=0[/tex]

Hence:

[tex]\displaystyle =(-\frac{324}{25})(0)=0[/tex]

Our final answer is:

[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

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

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

Answer:

4x = 180

Step-by-step explanation:

angle x = angle y so we can say both angles are 'x + x' or '2x'

angle z = twice angle y (or twice angle x because they're equal) so we can say angle z = 2x

2x + 2x = 180