A recent study examined hearing loss data for 1628 U.S. teenagers. In this sample, 337 were found to have some level of hearing loss. News of this study spread quickly, with many news articles blaming the prevalence of hearing loss on the higher use of ear buds by teens. At MSNBC (8/17/2010), Carla Johnson summarized the study with the headline: "1 in 5 U.S. teens has hearing loss, study says." To investigate whether this is an appropriate or a misleading headline, you will conduct a test of significance with the following hypotheses:
Null: π = 0.20 Alternative: π ≠ 0.20
A) Describe what the symbol π stands for in this context.
B) Use the Theory-Based Inference applet to determine a p-value.
C) Based on your p-value is there strong evidence that the proportion of all U.S. teens with some hearing loss is different than 1 in 5 (or 20%)?
D) Using the applet, find a 95% confidence interval for the proportion of U.S. teens that have some hearing loss.
E) What is the margin of error for you confidence interval from part (d) of this question?
F) Based on your confidence interval, is 0.20 a plausible value for the proportion of the population that has some hearing loss? Explain why or why not.
G) Based on your p-value, is 0.20 a plausible value for the proportion of the population that has some hearing loss? Explain why or why not.

Answer:

$150

Step-by-step explanation:

The price does not change for children and adults. They bought 30 tickets total since 17 + 13 = 30. 30*5 = 150. So they spent $150.

Answer:

The correct solution will be "32.22%".

Step-by-step explanation:

The given values are:

X = 612

n = 1899

As we know,

⇒  [tex]P=\frac{X}{n}[/tex]

On substituting the above values, we get

⇒      [tex]=\frac{612}{1899}[/tex]

⇒      [tex]=0.3222[/tex]

So that the chance of false positive will be "32.22%".

Answer:

She will need 52.5 table spoons of sugar

Step-by-step explanation:

2:15= 1:7.5

7tbs*1=7tbs of milk

7tbs*7.5=52.5tbs of sugar

Answer:

52.5

If you multiply the tbs of milk to the tbsp of sugar, then you will get 52.7!: )

Step-by-step explanation:

HOPE THIS HELPS~ :)

BRAINLIEST?

Answer:

3.72 x 100000000= 372000000

1.2 x 100000 = 120000

Step-by-step explanation:

idek

Answer:

tdyfauuotudpaoutaoiyyfiayidgaliiaflisyptpsititwou

Answer:

Use the number line to find each measure.

1. LineBD: -8

2. LineDG: 7

3. LineAF: -6

4. LineEF: 3

5. LineBG: 1

6. LineAG: -1

7. LineBE: -7

8. LineDE: -1

Find the distance between each point.

1. 10

2. [tex]\sqrt{29}[/tex]

3. 7

4. 5

5. [tex]\sqrt{229}[/tex]

6. 5

7. [tex]\sqrt{221}[/tex]

8. [tex]\sqrt{53}[/tex]

Answer:

7 hours

Step-by-step explanation:

9 x 7 = 63

Answer:

Step-by-step explanation:

B

These two triangles are similar then the ratio of their corresponding sides will remain constant. Then the value of h is 65.33 units.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A man places a mirror on the ground and sees the reflection on the top of a flagpole as shown in the figure below.

The two triangles in the figure are similar.

Note that the two triangles are proportional to one another. ​a = 3, b = 7, c = 28

If both triangles are similar then the ratio of their corresponding sides will remain constant.

Then we have

[tex]\rm \dfrac{h}{b} = \dfrac{c}{a}\\\\h \ = b \times \dfrac{c}{a}\\\\h\ = 7 \times \dfrac{28}{3}\\\\h \ = 65.33[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

985

Step-by-step explanation:

subtract 765 from 1750 or do this    1750

                                                          - 765

                                                        --------------

                                                             985

Answer: n= -1

Step-by-step explanation:

simplify by distributing:

5(2n+4)=-2(4n-1)

10n+20=-8n+2

add 8n to both sides:

10n+20=-8n+2

+8n +8n

————————

18n+20=2

subtract 20 from both sides

18n+20=2

-20 -20

————————

18n=-18

divide both sides by 18:

18n/18 = -18/18

n = -1

question is complete!

Answer:

HI THERE 1. is  9   2. is 7.08  and 3. is 13.8 pls mark brainlist

Step-by-step explanation:

Answer:

#1 is 9

#2 is 12 and 5/12

#3 is 69/5 or 13.8

Answer:

A line supplementary to AOD is AOC.

A line adjacent and congruent to AOE is COE (I think)

A line supplementary to EOA is EOC

A line complimentary to EOD is DOC

DOC and AOB are vertical angles.

Step-by-step explanation:

I think all of those are correct.

Answer:

A clock forms an example of angles in real life.

Step-by-step explanation:

Answer:

2x3 - 3x2 - 4x + 15

 ———————————————————

        x + 3      

Answer:

I hope this helps you

Step-by-step explanation:

25 student travelled in one bus

Answer:

0.125. sorry if it's wrong. (Disclaimer: Math is not my best subject :) )

Step-by-step explanation:

5/4÷10 on a calculator

Answer:

(1,-1)

(0,4)

(-2,14)

Step-by-step explanation:

5 * 1 = 5 + -1 = 4

5 * 0 = 0 + 4 = 4

5 * -2 = -10 + 14 = 4

Answer:

[tex]w(-3) = 12[/tex]

Step-by-step explanation:

Plug in -3 for n in the equation:

[tex]w(n) = n^2 - n[/tex]

[tex]w(-3) = (-3)^{2} - (-3)[/tex]

Simplify. Remember to follow PEMDAS. First, solve the power:

[tex]w (-3) = (-3)^2 - (-3)\\w (-3) = (-3 * -3) - (-3)\\w (-3) = (9) - (-3)[/tex]

Next, combine like terms. Note that if there are two negative signs directly next to each other, it becomes a positive sign. Add:

[tex]w(-3) = 9 - (-3)\\w(-3) = 9 + 3\\w(-3) = 12[/tex]

Your answer: [tex]w(-3) = 12[/tex]

Answer:

Reflect over the x-axis.

Step-by-step explanation:

Assuming you meant 2x^2+3, putting a negative sign in front of the x value flips the graph over the x-axis.

ANSWER: 1.211 or 13.211

Step-by-step explanation:

STEP

1

:

1.1     Evaluate :  (x-6)2   =    x2-12x+36  

Trying to factor by splitting the middle term

1.2     Factoring  x2-12x-16  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -16  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -16 = -16  

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   -12 .

     -16    +    1    =    -15  

     -8    +    2    =    -6  

     -4    +    4    =    0  

     -2    +    8    =    6  

     -1    +    16    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 - 12x - 16  = 0  

STEP

2

:

Parabola, Finding the Vertex

2.1      Find the Vertex of   y = x2-12x-16

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000  

Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 - 16.0

or   y = -52.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-12x-16

Axis of Symmetry (dashed)  {x}={ 6.00}  

Vertex at  {x,y} = { 6.00,-52.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-1.21, 0.00}  

Root 2 at  {x,y} = {13.21, 0.00}  

Solve Quadratic Equation by Completing The Square

2.2     Solving   x2-12x-16 = 0 by Completing The Square .

Add  16  to both side of the equation :

  x2-12x = 16

Now the clever bit: Take the coefficient of  x , which is  12 , divide by two, giving  6 , and finally square it giving  36  

Add  36  to both sides of the equation :

 On the right hand side we have :

  16  +  36    or,  (16/1)+(36/1)  

 The common denominator of the two fractions is  1   Adding  (16/1)+(36/1)  gives  52/1  

 So adding to both sides we finally get :

  x2-12x+36 = 52

Adding  36  has completed the left hand side into a perfect square :

  x2-12x+36  =

  (x-6) • (x-6)  =

 (x-6)2

Things which are equal to the same thing are also equal to one another. Since

  x2-12x+36 = 52 and

  x2-12x+36 = (x-6)2

then, according to the law of transitivity,

  (x-6)2 = 52

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-6)2   is

  (x-6)2/2 =

 (x-6)1 =

  x-6

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x-6 = √ 52

Add  6  to both sides to obtain:

  x = 6 + √ 52

Since a square root has two values, one positive and the other negative

  x2 - 12x - 16 = 0

  has two solutions:

 x = 6 + √ 52

  or

 x = 6 - √ 52

Solve Quadratic Equation using the Quadratic Formula

2.3     Solving    x2-12x-16 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -12

                     C   =  -16

Accordingly,  B2  -  4AC   =

                    144 - (-64) =

                    208

Applying the quadratic formula :

              12 ± √ 208

  x  =    ——————

                     2

Can  √ 208 be simplified ?

Yes!   The prime factorization of  208   is

  2•2•2•2•13  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 208   =  √ 2•2•2•2•13   =2•2•√ 13   =

               ±  4 • √ 13

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          x  =  ( 12 ± 4 •  3.606 ) / 2

Two real solutions:

x =(12+√208)/2=6+2√ 13 = 13.211

or:

x =(12-√208)/2=6-2√ 13 = -1.211

Answer: X=root of14 -6; x = -root of14 -6

Explanation: Symbolab.com

Multiplication means the repeated addition of groups of equal sizes. When 99 and 76 are multiplied we get the value 7524.

Multiplication means the repeated addition of groups of equal sizes.

The given two numbers are 99 and 76.

Set up your multiplication problem like this:

99

*76

______

9 x 6 = 54. Put 4 below the line and 5 as a reminder on top:

99

*76

______

   4

6 x 9 = 54. Take 54 and add 5 from the previous step to get 59. Enter 59 at the bottom

99

*76

______

 594

Enter a 0 at the bottom right as a place holder, because you now move over one digit:

99

*76

______

 594

 +   0

7 x 9 = 63. Put 3 below the line and 6 as a reminder on top:

99

*76

______

 594

 +  30

7 x 9 = 63. Take 63 and add 6 from the previous step to get 69. Enter 69 at the bottom:

99

*76

______

 594

+6930

Add up the bottom two numbers (594 + 6930 = 7524) to get the answer:

99

*76

______

 594

+6930

________

  7524

Therefore Multiplication of 99 and 76 is 7524.

To learn more on Multiplication visit:

https://brainly.com/question/5992872

#SPJ2

Answer:

4

It is right on edge

Answer:

the complex numbers have opposite real parts

Step-by-step explanation:

just took it on edge;)

Answer: $56

Step-by-step explanation:

Each day he feed them 4 fish food containers. How many days is a week 7. So 7x4 is 28. All we have left over is $2.00

so we just multiply 28x2. That sums up to $56!

Answer:

Step-by-step explanation:

1. The slope is 12

2. (6 - 2)/(12+4)= 4/16= 1/4

y - 2 = 1/4(x + 4)

y - 2 = 1/4x + 1

y = 1/4x + 3

Answer:

225 miles I think

Step-by-step explanation:

75x3=225

tl;dr: Andrea traveled 3 [tex]\frac{3}{4}[/tex] miles.

Hello!

To solve the problem, we need to understand what it means. The distance traveled in miles is represented with t, while the number of minutes is represented with m.

Now, first we need to fill in the equation with the information we're given.

t = 3m  → t = 3(1 [tex]\frac{1}{4}[/tex])

Now, we solve for t.

t = 3(1 [tex]\frac{1}{4}[/tex])  → t = 3 [tex]\frac{3}{4}[/tex]

Andrea traveled 3 [tex]\frac{3}{4}[/tex] in an hour and 15 minutes.

Hope this was helpful. Have a great day! (★‿★)

Answer:

Step-by-step explanation:

The square of 2, -2 is 4. square of 3, -3 is 9. so square root of 7 has to be less than 3 but more than 2. therefore the integers are either 2 and 3 or -3 and -2.

Answer:

2 and 3

Step-by-step explanation:

[tex]\sqrt{7}[/tex]= 2.645....

Hope this helps. Please give me brainliest.

Answer:

The Answer Is 4 - 5x

Step-by-step explanation:

[3, 17): у 2 — 5х + 2

у = -3х + 7

Simplify=

4 - 5x

Hope This Helps

Answer: $20,780.10

Step-by-step explanation:

You need the Compound Interest Formula

A = P(1 + r/n)^nt

Step 1: Create the equation.

12,000(1 + 0.08/2)¹⁴

Step 2: Solve the equation.

Follow PEMDAS (parenthesis, exponents, multiplication...)

Parenthesis: (1 + 0.08/2) = (1 + 0.04) = (1.04)

Exponents: (1.04)¹⁴ = (1.73168)

Multiplication: 12,000(1.73168) = 20,780.1

Answer:

x = 10

Step-by-step explanation:

3x/2 = 15

cross multiply

3x = 15 × 2

3x = 30

divide both sides by the coefficient of x

3x/3 = 30/3

x = 10

Answer:

x=25

Step-by-step explanation: