In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonable) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).

In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.6%. Describe the conclusion about p using an absolute value inequality.

The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in < and then =, the symbolic entry option will automatically convert that too ≤ . In the same way, if you type in > and then =, the symbolic entry option will automatically convert that to ≥.

Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).

Answer:

 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST! :)

Answer:

no

Step-by-step explanation:

Answer:

Where's the pic shorty

Step-by-step explanation:

????????

Answer:

2!!!

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

1+1=2

Step-by-step explanation:

Brainliest please!

Answer:

3x = 0

Step-by-step explanation:

Given,

y = 10

now,

5x+2y = 20

or, 5x+2×10=20

or, 5x = 20-20

or, 5x = 0

or, x = 0/5

or, x = 0

Again,

3x = 3×0 =0

Answer:

The distance from Earth to Mars is 8×10¹¹ m.

Step-by-step explanation:

Given that,

The speed of light is 3×10⁸ m/s. The sun is approximately 230,000,000,000 m from Mars. If the sun is approximately 1.5 x 10¹¹ meters from Earth, what is the approximate distance from Earth to Mars.

The sun is approximately 2.3 × 10¹¹ m from Mars.

The sun is approximately 1.5 x 10¹¹ m from Earth.

The distance between from Earth to Mars is :

d = 2.3 × 10¹¹ m - 1.5 x 10¹¹ m

= 8×10¹¹ m

Hence, the distance from Earth to Mars is 8×10¹¹ m.

Answer:

the perm will cost $60

Step-by-step explanation:

take away $5 from the total because Its a set amount that's already known

which leaves 90 which if you  take 30 away you are left with 60 its twice the amount of the haircut, I didn't really do any math techniques so I'm sorry that my explanation is weird, I hope this helped

Answer:

The answer is

[tex] \huge y = - x - 6[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]

We have the final answer as

[tex]y = - x - 6[/tex]

Hope this helps you

Answer:

mhm

Step-by-step explanation:

Answer:

Bet

Step-by-step explanation:

Answer:

Under Armour store you can get a better deal.

Step-by-step explanation:

25/3=8.33

29/4=7.25

36/5=7.2

the answer is b. the rest is so it can be enough charecters so i can post this answer

Answer:

The equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]

Step-by-step explanation:

Given

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -1/2 and the point (4,-8)

[tex]y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)[/tex]

[tex]y+8=\frac{-1}{2}\left(x-4\right)[/tex]

subtract 8 from both sides

[tex]y+8-8=\frac{-1}{2}\left(x-4\right)-8[/tex]

[tex]y=-\frac{1}{2}x-6[/tex]

Therefore, the equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]

Answer: x=−1 or x=−4

Step-by-step explanation: Solve by factoring

Answer:

(x+1)(x+4)

Step-by-step explanation:

Answers:

After simplifying the following expression, the coefficient of the m^2 term will be  13  

The solution is  13m^2 + 6mn^2 - 5nm^2  

====================================================

Explanation:

Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)

You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.

The coefficients 3, 16 and -6 combine to 3+16-6 = 13

Meaning that 3m^2+16m^2-6m^2 = 13m^2

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

There are no other like terms that pair up.

The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2

So we cannot combine 6mn^2-5nm^2. We leave it as is.

Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2

Answer:

6x - 18

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define expression

(2x - 6) + 4(x - 3)

Step 2: Simplify

Answer:

7

Step-by-step explanation:

Easier than you think. You do not have to add the numbers together to find your answer. You can just add 0+1+6, and you will get 7.

Answer:

7

Step-by-step explanation:

5120+2301=7421

7421+456=7877

Last # is 7

Answer:

No

Step-by-step explanation:

The first 3 boxes are proportional since they have a ratio of 1:3, but 6:21 is not proportional to the others.

Answer:

No it is not proportional.

Step-by-step explanation:

This is not proportional because

2 times 3 = 6

4 times 3 = 12

8 times 3 =  24

but,

6 times 3 = 18 not 21 so it is not proportional.

Hope this helped! Ask me any questions if needed!

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

correct on edge

Answer:

It is 1/4

Step-by-step explanation:

If you go from dot to dot on the line, starting with the first dot:

you go to the right 4 times and then up 1 to get to the next dot.

If you put that into a fraction it is [tex]\frac{rise}{run}[/tex] so going up (1) is ontop of going to the right (4), which is 1/4.

Answer:

x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...

x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More

Answer:

C. a => c

Step-by-step explanation:

       a                          b                           c                a => b          a => c (not C)

       0                          0                        0                    

       0                           0                        1                    

       0                          1                         0                    

        0                           1                         1                                          

        1                         0                          0                     F                  F

         1                        0                          1                      F                  

         1                        1                           0                                         F

          1                       1                          1

¬a                          b                           c                a => b          ¬a => c (not B)

       1                          0                        0                  F                  F

       1                           0                        1                  F  

       1                          1                         0                                       F

        1                           1                         1                                          

        0                         0                          0                                      

        0                        0                          1                                        

         0                        1                           0                                        

          0                       1                          1

a                          b                           c                a => b          c => a (not D)

       0                          0                        0                                        

       0                           0                        1                                            F

       0                          1                         0                    

        0                           1                         1                                           F

        1                         0                          0                     F                  

         1                        0                          1                      F                  

         1                        1                           0                                        

          1                       1                          1

¬a                          b                           ¬c                a => b          ¬a => ¬c

       1                          0                        1                                          

       1                           0                        0                                         F

       1                          1                         1                                      

        1                           1                         0                                        F

        0                         0                          1                 F                      

        0                        0                          0                 F                      

         0                        1                           1                                        

          0                       1                          0

answer: everything is false lol

Given:

An annual pass to a park costs $120.

To find:

The 200% of the full price using percent model.

Solution:

In the percent model,

100% = 1 box

It means 1 box represents park costs $120.

200% = 2 box

[tex]120+120=240[/tex]

It means 2 box represents park costs $240.

Therefore, 200% of the full price is $240.

Answer:

0.9 cubic centimeters

Step-by-step explanation:

Answer:

100 digits

Step-by-step explanation:

One trillion is 10¹², so it adds 12 zeros.

8000 adds 4 digits.

8 trillions add 8·12 = 96 zeros.

So in total you have 96+4 = 100 digits

This number would also be called 8 googol, since 1 googol is 10¹⁰⁰

Step-by-step explanation:

All the answers which apply are D and F

Answer:

I think it is d but I am now overthinking it so don't put too much trust in that

Answer:

The fabric left over will be [tex]2\frac{5}{6}[/tex]

Step-by-step explanation:

Total fabric bought= [tex]8\frac{3}{4} \ yd[/tex]

Fabric used for skirt = [tex]1\frac{7}{8} \ yd[/tex]

Fabric used for pants = [tex]2\frac{3}{8} \ yd[/tex]

Fabric used for vest = [tex]1\frac{2}{3} \ yd[/tex]

Total fabric used = Fabric used for skirt+Fabric used for pants+Fabric used for vest

Total fabric used=[tex]1\frac{7}{8}+2\frac{3}{8}+1\frac{2}{3}[/tex]

[tex]=\frac{15}{8}+\frac{19}{8}+\frac{5}{3}\\=\frac{15*3+19*3+5*8}{24}\\=\frac{45+57+40}{24}\\=\frac{142}{24} \\=\frac{71}{12}[/tex]

So, Total fabric used = [tex]\frac{71}{12}[/tex]

Total Fabric left= Total fabric bought-Total fabric used

Total Fabric left=[tex]8\frac{3}{4}-\frac{71}{12}[/tex]

[tex]=\frac{35}{4}-\frac{71}{12}\\=\frac{35*3-71}{12} \\=\frac{105-71}{12}\\=\frac{34}{12}\\=\frac{17}{6}\\=2\frac{5}{6}[/tex]

So, the fabric left over will be [tex]2\frac{5}{6}[/tex]

Answer:

si

Step-by-step explanation:

la longitud mayor es menor que la suma de las otras 2 longitudes que es 10