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

PLEASEEE HURRY!!! And please show work thank youuu

Answers

30 because big brain maths

15 points! :)

find the value of x for each figure. each figure is in the centimeters(cm). not to scale.

answer this, don't answer if you don't know

Answers

Answer:

10) 1/7

11) 3/4

12) 1/3

13) 1/2

14) 1/2

15) 7/9

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
What is the type of angle 12 and 6 form? and what is their relationship?

Answers

Answer:

Alternate angles

Step-by-step explanation:

Alternates angles are in a form of Z so the relationship between angle 12 and 6 are alternate angles.

3/2 x -9 = 0 hiiiiiiiii please help :)

Answers

Answer:

x=6

Step-by-step explanation:

3/2x-9+9=0+9

3/2x=9

2. 3/2x=9. 2

3x=18

3x/3=18/3

x=6

Answer:

Hewo There!!

_______________________

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  =  6

______________________

“How wonderful it is that nobody need wait a single moment before starting to improve the world.” – Anne Frank

______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

a swimmer swam the 50 meter freestyle in a time of 21 seconds what was his speed to the nearest tenth of a meter per second PLEASE HELP

Answers

Answer:

2.4

Step-by-step explanation:

50/21=2.380.....

          2.38

          2.4

Answer:

50/21 or 2 8/21 meters per second

Step-by-step explanation:

Well speed is the distance divided by the time, so, 50 is the distance and 21 is the time, so, you divide 50 by 21 to get the answer

HELP PLEASE PLEASEEEEEEE

Answers

Answer:

about 1854.55 miles (rounded to the hundredth)

Step-by-step explanation:

1.

[tex] \frac{44}{100} = \frac{816}{x} [/tex]

The first fraction represent the percentage of the distance.

The second one represent the number of 816 miles out of x

2. 100 × 816 = 44 × x

3. You'll get 81,600 = 44x

4. and then you divided both side by 44 to solve for x

I think it’s 1854.55 miles

3x + 5.9 = 14.6
What's the answer?

Answers

Answer: X=2.9

Step-by-step explanation:

Last question!

Find the equation of the line

Y=__x +__

Answers

The answer is y=-2/6x + 5

help solve 90 please​

Answers

Answer:

c=263

Step-by-step explanation:

8x-13+4+1=90 helppppppp

Answers

Answer:

x = 49/4

Step-by-step explanation:

An ice cream shop sells five sundaes for every six cones. Yesterday the shop sold 60 sundaes. How many cones were sold?

Answers

Answer:

50

Step-by-step explanation:

To get each sundae come from sold, you divide sold by for every x cones, then multiply by how many sundaes

Answer:

72

Step-by-step explanation:

60÷5=12

6×12=72 cones

Convert 400 U.S. dollars to pesos if 1 peso is 1.208 U.S, dollars

Answers

Answer:

483.24

Step-by-step explanation:

Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.

Answers

Answer:

-1/2

Step-by-step explanation:

2x-y=-8 --> y=2x+8 (slope: 2)

to be perpendicular, the product of two slopes should be -1

thus, the slope of a line perpendicular to this one is -1/2

how to solve this it says solve 6!

Answers

Answer:

720

Step-by-step explanation:

6*5*4*3*2*1=720

A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?

The rate of descent was ____ feet per minute.


Please help ASAP my assignment is due in less then an hour.​

Answers

Answer

The rate of descent was 59.5 feet per minute

Step-by-step explanation:

Evaluate the expression.62−4÷2 62−4÷2

Answers

The answer to that is 10,000

Answer: 8118/131 decimal form -65

Step-by-step explanation: this part right here 2 62= 0.032

so 62-4/0.032-4/2= -65

sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies

-1/3(x-15)=-4 what is the correct sequence of operations

Answers

Answer:

x = 3

Step-by-step explanation:

The steps I show will be listed from first-to-last.

-1/3x + 5 = -4 (Distribute)

-1/3x = -9 (Subtract 5 from both sides)

x = 3 (Multiply both sides by -3)

I need to match each equation with the right answers and I need to show my work for each one

Answers

Don’t mind my hand writing

Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =

Answers

Answer:

25

Step-by-step explanation:

Answer:

it is 25 :)

Step-by-step explanation:

if y= 2x - 3, find the value of y when x=2

Answers

Answer:

y=1

Step-by-step explanation:

Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.

Y is 1 because 2 x2 is 4-3 is 1 quick maths

if 1/4 of the pie was eaten what fraction of the original whole pie remains

Answers

Answer:3/4

Step-by-step explanation:

3/4 of the pie remains

PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE ​

Answers

This is the answer hope you get it :)

Plz help me
Find the rational approximation of square root 7 to the nearest tenth.

Answers

Answer:

2.6

Step-by-step explanation:

Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?

Answers

Answer:

see below

Step-by-step explanation:

Consider the rule y = 5x + 7.

a. How many tiles are in Figure 0?

In figure 0, we let x=0

y = 5*0+7 = 0+7 = 7

b. Which figure has 37 tiles?

This means y = 37

37 = 5x+7

Subtract 7 from each side

37-7 = 5x+7-7

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

Figure 6 has 37 tiles

c. In the equation y = mx + b, what do the letters m and b represent?

m is the slope or how much it is increasing each time x increases by 1  and b is how much we start with when x =0

On her first science test, Whitney scored a 92%. On the second test, she scored an 80%. What is the approximate percent of decrease in her score?

Answers

Answer:

Step-by-step explanation:

Decrease = 92 - 80 = 12

Percent of decrease in her score = [tex]\frac{12}{92}*100\\[/tex]

                                                       = [tex]\frac{1200}{92}\\[/tex]

                                                       = 13.04

                                                      = 13 %

Answer:

it would be a 12 percent

Step-by-step explanation:

A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin 180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units

Answers

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]


1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?

Answers

Answer:

It depends on how many teacher has

Step-by-step explanation:

52 children divided by number of teacher

Question 3 50 points

Part A
Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship.

Answers

Answer:

Part A-

Answer- f(x) is the profit made from selling 'x' number of salads.

Part B-

Question- Identify and interpret the key features of the function in the context of the situation you described in part A.

Answer-

End behavior- As 'x' approaches 25, f(x) approaches 20. As 'x' approaches 1, f(x) approaches 4.

Domain- 1, 4, 9, 16, 25

Range- 4, 8, 12, 16, 20

x and y- intercepts- None

Maximum- 20

Minimum- 4

Step-by-step explanation:

Mark as brainliest please :)

Find the slope of the line that passes through (9,6) and (1,3)

Answers

Answer:

3/8

Step-by-step explanation:

Slope m = (y2-y1) / (x2-x1)

= (3-6) / (1-9)

= (-3) / (-8)

= 3/8

PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)

A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8

Answers

Answer:

A

Step-by-step explanation:

y=x+1

=> put y=5

5=x+1

x=5-1

x= 4

(4,5)

same put y=9

so, x= 8

(8,9)

Other Questions
Solve the notable products (x-12).(x+12) Amy and Mitchell share equally in the profits, losses, and capital of the accrual basis AM Products LLC. The LLC does not need to report financial information to any third parties, so capital accounts are determined using tax rules (rather than GAAP). Amy is a managing member of the LLC (treated as a general partner) and is a U.S. person. At the beginning of the current tax year, Amy's capital account has a balance of $960,000, and the LLC has debts of $624,000 payable to unrelated parties. The debts are recourse to the LLC, but neither of the LLC members has personally guaranteed them. Assume that all LLC debt is shared equally between the partners. The following information about AM's operations for the current year is obtained from the LLC's records.Ordinary income $900,000 W-2 wages to employees 200,000Depreciation expense 300,000Interest income from bond 4,000Long-term capital loss 6,000Short-term capital gain 12,000Charitable contribution 4,000Cash distribution to Amy 20,000Unadjusted basis of partnership depreciable property 1,600,000Year-end LLC debt payable to unrelated parties is $140,000. Required:What income, gains, losses, and deductions does Amy report on her income tax return? Select all the correct answers.Read the following sentence.During the taste-test experiment, participants wore opaque blindfolds so that they could not see the brand names of thefoods they were testing.In which of the following sentences does opaque have the same meaning as in the sentence above?The confused students asked the teacher to help them understand the opaque lessonon inflation and its effects on the economy.The deep-sea diver found it difficult to see through the opaque water after a passingshark stirred up mud and debris.The patient did not understand the seriousness of his diagnosis because the doctor,afraid of upsetting the patient, used opaque jargon and unclear descriptions.The director of the museum insisted on replacing the clear glass windows with opaquewindows to prevent the precious paintings from fading in the sunlight. Is he Govoner of New York aloud to invade Canada What is a carbon hydrate molecule? Please help me with this !! What are the similarities between food webs and food chains?Explain.thanks Somebody please answer this question Im begging you How do you solve this? Without going into anything to complicated as this should be Year 10 maths hii guys , I need your help A short note on how are we spending this corona time ... who gives me the best answer I will mark him /her as a brainlist .... Java Eclipse Homework JoggerProOver a seven day period, a jogger wants to figure out the average number of miles she runs each day.Use the following information to create the necessary code. You will need to use a loop in this code.The following variables will need to be of type double:miles, totalMiles, averageShow a title on the screen for the program.Ask the user if they want to run the program.If their answer is a capital or a lowercase letter Y, do the following:Set totalMiles to 0.Do seven times (for loop){Show which day (number) you are on and ask for the number of miles for this day.Add the miles to the total}Show the total number of milesCalculate the averageShow the average mileage with decimalsUse attractive displays and good spacing.Save your completed code according to your teachers directions. What is a police stingray? Group of answer choices A technological device that transmits fraudulent credentials to trick cell phones into connecting to it An armored vehicle used for SWAT scenarios Policies that dictate investigation tactics An aquatic animal Why were most of the colonizing nations from Europe? Which two nations that had colonies, were not fromEurope? Whats the value of y in this picture Which three innovations were made in the same year?a. Reaper, telegraph, photographyb. Sewing machine, radio, X-rayC. Photography, telegraph, radiod. Radio, motion pictures, X-raye. None of the Above.plzz help this is gonna be due soon. PLS!!!!! HELP ME!!! I WILL MARK U!!! is a renewable resource used for the generation of electricity.A. Natural gasB. CoalC. PetroleumO D. Biomass 2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no paymentsare made. LTDEnter your answer Which helps in the production of eggs? A 75 Kg skateboarder is riding downhill, exerting 25 N. What is their acceleration?