Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.

Answers

Answer 1

Answer:

[tex]|A-38|=5[/tex]

33% or 43%

Step-by-step explanation:

Given that poll is accurate within [tex]\pm5[/tex].

38% voters have voted for candidate A.

[tex]A[/tex] is the percent of voters who will vote for candidate A.

So, value of A can be 38+5=43%

OR

38-5 = 33%

We will write an absolute function for the above situation.

But, first of all, let us have a look at the definition of Absolute value function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

The the value of function gives us a negative sign when the value inside the modulus function is negative.

[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and

[tex]A-38[/tex] will be positive when [tex]A>38[/tex].

This difference is given as [tex]\pm5[/tex].

Therefore, the absolute value function can be written as:

[tex]|A-38|=5[/tex]

Case 1: [tex]A < 38[/tex]

As per definition of modulus function, it will open with a negative sign.

[tex]-A+38=5\Rightarrow A = 33[/tex]

Case 2: [tex]A>38[/tex]

As per definition of modulus function, it will open with a positive sign.

[tex]A-38=5\Rightarrow A = 43[/tex]

Therefore the answer is 33% or 43%


Related Questions

Please help (I give brainliest and follow you)

Answers

(-2,0) option b is the correct answer

Answer: B. (-2.0)

Step-by-step explanation:

(X,Y)

You go over -2 on the X

And stay at 0 on the Y

So it would be (-2,0)

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft

Answers

*the figure is shown in the attachment

Answer/Step-by-step explanation:

Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.

Find the value of n by creating an equation to solve for n:

XY = (9n + 12) ft

XZ = (15n - 6) ft

XY = XZ (2 equal lengths of isosceles ∆)

9n + 12 = 15n - 6 (substitution)

Combine like terms

9n - 15n = - 12 - 6

-6n = -18

Divide both sides by -6

-6n/-6 = -18/-6

n = 3

Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.

XY = (9(3) + 12) ft

XY = (27 + 12) ft

XY = 39 ft

Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.

XZ = (15(3) - 6) ft

XZ = (45 - 6) ft

XZ = 39 ft

Answer:

1st box: 3

2nd box: 39

3rd box: 39

Have a great day, remember to wear a mask! :)

Marty’s dog can run 3 miles in 20 minutes. What is the dog’s speed in miles per hour?
How do i get the answer?

Answers

Since there is 60 minutes in a hour you would multiply 20*3 to get the hour. Now since you multiplied the minutes by 3 you also multiply the amount of miles giving you 9 miles per hour

Help me I need help fast it is due soon!

Answers

Answer:

400 square meters

Step-by-step explanation:

We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just [tex]bh[/tex], so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, [tex]16 \cdot 25 = \boxed{400}[/tex] square meters is our answer

please help me is this a function and explain why

Answers

Answer:

No.

Step-by-step explanation:

For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function      

Answer:Not a function

Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.

CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE. Determine m∠ABQ and determine m∠BCR.

Answers

Answer:

ABQ  = 139

BCR is the same as QBC since they are alternate interior angles

BCR = 41

Step-by-step explanation:

CBQ and SCB are same side interior angles so they add to 180

2a-9  + 5a +14 = 180

Combine like terms

7a +5 = 180

Subtract 5 from each side

7a = 175

Divide by 7

7a/7 = 175/7

a = 25

ABQ  is the same as SCB  since they are corresponding angles so

ABQ = SCB = 5a+14 = 5*25+14 = 125+14 = 139

BCR is the same as QBC since they are alternate interior angles

BCR = QBC = 2a-9 = 2*25 -9 = 50-9 = 41

Can you please help me? It’s timed!!

Answers

Answer:

[tex]0.75[/tex] (D)

Step-by-step explanation:

tanA = [tex]\frac{6}{8}[/tex]

tanA = [tex]0.75[/tex]

The answer is D hope this helps


It takes Anastasia 45 minutes to walk 2 miles to the park At this rate, how
many minutes should it take her to walk 3 miles?

Answers

Answer:

54 minutes

Step-by-step explanation:

45 minutes per 2.5 miles

45/2.5 = 18 minutes per mile

3 miles * 18 minutes = 54 minutes

If 52 men can do a piece of work in 35 days in how many days will 28 men to it?

Answers

28 mando the peace of work in 41 days

by divida 52 and 35 and multiiply with28

{(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)}
i need to find the domain and range

Answers

domain : (-5, -4, -2, 0, 1)
range : (4,-1, 1,4,3)

The required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.

As given in the question, for the ordered pairs given {(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)} domain and range of the system is to be determined.

What is the range?

Range, it is the set of the values that come out to an outcome for a certain mathematical operation.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given the ordered pair are,
{(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)}

Values in the place of abscissa x and ordinate y are the value of a set of domains and ranges respectively.
So domin =  {-5, -4, -2, 0, 1}
and range =  {4, -4, 1, 4, 3}

Thus, the required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.

learn more about the range here:
https://brainly.com/question/12239390

#SPJ2


Rectangle ABCD is rotated 360° around the origin.

What is the coordinate of C’?
(–4, –4)
(4, –4)
(4, 4)
(–4, 4)

Answers

Answer:

it will be the same point as C was already in as it took a complete revolution around the origin

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Trust me its D the other guy is wrong

send help pleaseeeeeee

Answers

Answer:

The answer is d 1:2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

they are similar because AB/DE=BC/EF=CA/FD = 10/20 =6/12 = 7/14 = 1/2

(SSS) the ratio ABC to DEF is 1:2

The parking garage at the airport has 160 empty parking spaces and 240 full parking spaces. What percentage of the spaces in the garage are empty?

Answers

The answer is 66.67%

I need help please.
M a t h

Answers

Answer:

option 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the conditions.

The car must go at least 55 mph. That means that 55 is included. Use ≥

The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).

The answer uses ≥

The answer is s ≥  55

A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?

Answers

Answer:

Maximum number of chairs is 7.

Step-by-step explanation:

We are told he has less than 120 minutes to spend painting furniture each day.

Now he has spent 30.5 minutes painting a desk.

Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.

Thus, we have;

30.5 + 12.5x < 120

Subtract 30.5 from both sides to get;

12.5x < 120 - 30.5

12.5x < 89.5

x < 89.5/12.5

x < 7.16

Thus, maximum number of chairs he can paint is 7

Can someone please help me ?

Answers

Answer:

340 total people (see below)

Step-by-step explanation:

So first, you need to find the number of children. To do that, the percentage of adults must be 55% because is 45% of 100% are children, the remaining are adults. You can use a ratio to find the amount of children:

x children  =  45%

187 adults     55%

Now, cross multiply:

55x = 187 (45)

55x = 8415

x = 8415/55

x = 153

There are 153 children.

To find the total amount of people in the theater, add the two amounts:

187 adults + 153 children = ? people

                                           = 340 people

simplify
12+ 1233-987

Answers

Answer:

258

Step-by-step explanation:

Answer:

258

Step-by-step explanation:

Follow the order of PEMDAS

If you get an A on your math test, then you can choose where to go to dinner. If you can choose where to dinner, then you can go to your favorite restaurant. If you get an A on your math test, then you can go to your favorite restaurant. Law of Detachment Law of Detachment Law of Syllogism

Answers

Answer:

Law of Syllogism

Step-by-step explanation:

The scenario that is being described is an example of the Law of Syllogism. This law basically gives three statements the first causes the second (a=b), and the second causes the third (b=c), which therefore means that the first would cause the third (a=c). In this scenario, each part would have the following effect...

(a) get an A on the math test = (b) choose where to go for dinner

(b) choose where to go for dinner = (c) you can go to your favorite restaurant.

Therefore

(a) get an A on the math test = (c) you can go to your favorite restaurant.

does 3(6x - 2) - 7 = 18x - 13?​

Answers

Answer:

yes

Step-by-step explanation:

distribute 3(6x-2) to get 18x-6-7= 18x-13

combine -6 and -7 to get 18x - 13 = 18x - 13

hope this helps :))

Simplifying expression
13y - (-y)+(-2y)
A.10y
B.14y
C.12y
D.16y​

Answers

Answer:

C. 12y

Step-by-step explanation:

1. 13y - (-y)+(-2y)

2. 13y + y - 2y

3. 14y - 2y

4. 12y


Calculate the surface area of the prism.

Answers

Answer:

152 units.

Step-by-step explanation:

(5*8)+(5*8)+(6*8)+(6*4/2)+(6*4/2)

40+40+48+12+12

152

What is the equation of the line that passes through the point (-1, -5) and has a
slope of -3?

Answers

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 6x-y=1. Fully reduce your answer.

Answers

Answer:

0, -1

1, 5

(Hope it helped)

Answer:

I believe the slope is 6  

Step-by-step explanation:

6x - y = 1

- y = - 6x + 1

-1 ( - y = - 6x + 1)

y = 6x + 1

6 = slope

what is 12 to the 16 power/ 12 to the 4 power ill give brainliest

Answers

Answer:

12^16= 184884258895036400

12^4= 20736

Which correctly explains how to estimate 55 percent of 64? Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as One-fourth. So, One-fourth of 60 is 15. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as One-third. So, One-third of 70 is 23.3. Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as One-fifth. So, One-fifth of 60 is 12. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as One-half. So, One-half of 60 is 30.

Answers

Answer:

D

Step-by-step explanation:

Can you please help meeeeeeeee

Solve for x.

x2+6x+6=0

Enter your answers in the boxes.

x = or x =

Answers

Answer:

so x= -3+ root three

and x = -3- root three

You have to use the quadratic formula to solve

Please answer this question... please
Select the graph that represents the equation y= 2/3x-3

Answers

It’s the second one. Pick the 2nd one
ITS THE LAST ONE!!! NOT THE SECOND ONE

Find the area of polygon ABCDE (shown below)
5
4
m
20

Answers

Answer:

The answer is 24

Step-by-step explanation:

Noodles are packaged in boxes that measure 18 cm by
20 cm by 5 cm. A larger box is being designed by
increasing the length, width, and height of the smaller
box by the same amount.
What is the minimum amount that can be added to the
dimensions of the box so that the new box has a
volume of at least 5,280 cubic centimeters? Round to
the nearest hundredth.
cm

Answers

Answer:

Its 4.54 cm

Step-by-step explanation:

on Edge

The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm

The measurement of the box is given as 18 cm by 20 cm by 5 cm. Let the minimum amount to be added be x.

Therefore, the equation will be:

= (18 + 4.54) × (20 + 4.54) × (5 + 4.54)

= 22.54 × 24.54 × 9.54

= 5280 approximately

The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm

Read related link on:

https://brainly.com/question/17671314

Which one of these is NOT an Irrational Number?

a. 10,000,000
b. 17
C. 37
d. 12

Answers

Answer:

37 is not an irrational number

Step-by-step explanation:

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