A marathon is approximately 26 miles. If a marathon runner has run 13 miles so far, what percent of the
marathon has she completed? I

Answers

Answer 1

Answer:

They have completed 50% of the race

Step-by-step explanation:

13 is half of 26. So when putting it in fraction form 13/26 can be equal to 50/100/

Now we can see that our fraction is 50/100, which means that 13/26 as a percentage is 50%.


Related Questions

What happened
Ok so I logged off an hour ago and had 1000 points and 100 questions answered and 12 BRAINLIEST
Why is it now 24 points 0 answers and 0 BRAINLIEST

Srry it’s only for 10 points I don’t have a lot of points

Also I’m still an expert

Answers

It’s probably some glitch or you moved up a level? Maybe try reloading again or somthinlike that

Please hurry I will mark you brainliest

View the following image and create a story that MATCHES the graph. Create your own scales and values to incorporate in the story.

Please hurry I will mark you brainliest View the following image and create a story that MATCHES the

Answers

Step-by-step explanation:

A body at rest accelerates to 2.5 meters in 1 second, it then maintains a constant speed for 2 seconds and accelerate 2.5 meters in 2 seconds. It then maintains a constant speed for 2 seconds and finally decelerates for the next eight seconds.

scale = 1cm : 1 unit.

distance axis : 1 to 7.5 meters

Time axis : 1 to 15 seconds

Ray purchased a jacket with 60% discount, for $240. how would you calculate price before a sale?

Answers

A (original cost of the jacket) x 60% = 240
240/ 60% = A

Answer:

$400

Step-by-step explanation:

We will make this question into a function by setting 'p' as the initial price before sale and converting the percent to a decimal (60*0.01).

Because the final price was calculated by multiplying the initial price by 60%, we can represent that with the function:

0.6p=240

All we need to do now is isolate p by dividing out 0.6.

p=400

Giving us an answer of $400 (that's an expensive jacket )



A ring-shaped region is shown below.
Its Inner diameter is 26 it, and its outer diameter is 34 ft.
16
Find the area of the shaded region.
Use 3.14 Do not round your answer

A ring-shaped region is shown below.Its Inner diameter is 26 it, and its outer diameter is 34 ft.16Find

Answers

Answer:

4.16

Step-by-step explanation:

On a family camping trip, 5 backpacks can fit in the trailer for every 3 people. if 9 people are going on the trip, how many backpacks can fit? 12 backpacks 14 backpacks 15 backpacks 24 backpacks

Answers

15 bags are expected for the journey for 9 people to fit backpacks in the trailer.

The fundamental principle of multiplication

To calculate the sum of two or more numbers, utilize the mathematical operation of multiplication. If an event can happen in m different ways and a second event can happen in n different ways after it, then the two events that happen in succession can happen in m n distinct ways.

Given that 5 backpacks can fit in the trailer for every 3 people.

Then 3 people = 5 backpacks

1 people = \(\frac{5}{3}\) backpacks

therefore  If 9 people are going on the trip, then;

9 people = \(\frac{5}{3}*9\) backpacks

= 5 x 3

= 15 backpacks

Hence, the trailer can fit 15 backpacks if 9 people go on the trip.

Learn more about multiplications https://brainly.com/question/28988301

#SPJ4

Please answer my question please

Please answer my question please

Answers

Answer:

D

Step-by-step explanation:

i already did it its d

Find the 50th term of
6, 12, 18, 24,...

Answers

6n to the 50=6x50=300

Can somebody help me with this

Can somebody help me with this

Answers

Answer:

D = -1, -1, 2, 5

R = 0, 2, 3, 7

✅It is NOT A FUNCTION

Step-by-step explanation:

D (Domain) = input values (x-values)

D = -1, -1, 2, 5

R (Range) = output values

R = 0, 2, 3, 7

✅It is not a function because an x-value, -1, has two different y-values, 7 and 2, assigned to it.

2. Camilla sold 181 tickets for the school play. Student tickets cost $12 and adult
tickets cost $16. Camilla's sales to taled $2508. How many adult tickets and how
many student tickets did Camilla sell?

Answers

she sold 5 tickets that night

Answer:

Adult=84, student=97

Step-by-step explanation:

2. Camilla sold 181 tickets for the school play. Student tickets cost $12 and adulttickets cost $16.

Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface

Answers

The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

To learn more about   conical surface click here: brainly.com/question/29129362

#SPJ11

What is this distance in standard form??

What is this distance in standard form??

Answers

the correct answer is b 226000

Please help me! I am desperate! I need the answer fast!

Please help me! I am desperate! I need the answer fast!

Answers

Answer:

576

Step-by-step explanation:

To find the volume, you multiply length times width times height.

hope this helps

Answer:

576cm

Step-by-step explanation:

if you want to just give me the answer that would be fine. i just want to make sure i’m correct.

if you want to just give me the answer that would be fine. i just want to make sure im correct.

Answers

Okay, here we have this:

Considering that if the graph of the line rises from left to right, then it means that the slope is positive. On the other hand, if the graph of the line falls from left to right, the slope will be negative.

So, according with this finally we obtain that the correct answer is that the slope is negative.

Answer:

Negative

Step-by-step explanation:

Because MATH

tool is used to organise data in groups​

Answers

Answer:

Fortunately, Excel can organize data into groups

Step-by-step explanation:

allowing you to easily show and hide different sections of your worksheet.

The local zoo has some kangaroos and some rabbits, There are 70 feet and 26 heads in total. How many kangaroos and how many rabbits are there?

Answers

Answer:

y=17

Step-by-step explanation:

4x+2y=70

x+y=26

2x+2y=52

2x=18

x=9

y=26-9

y=17

Answer:

they are 1820

Step-by-step explanation:

do the mth maybe

Which is NOT true?
A
10 + 9 = 7 + 12
B.
10 = 10
c
10 - 4 = 3 + 3
D.
10 = 19 - 11

Answers

Answer:

D

Step-by-step explanation:

BECAUSE  19-11 ISNT 10

Answer:

D. 10= 19-11

Step-by-step explanation:

A. 10+9=19 and 7+12= 19

B. 10=10

C. 10- 4 = 6 and 3+3=6

D.19-11=8 not 10

Han wants to build a dog house. He makes a list of the materials needed:

At least 60 square feet of plywood for the surfaces

At least 36 feet of wood planks for the frame of the dog house 

Between 1 and 2 quarts of paint

Han's budget is $65. Plywood costs $0.70 per square foot, planks of wood cost $0.10 per foot, and paint costs $8 per quart.
write inequalities to represent the material constraints and cost constraints in this situation. ​

Answers

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Inequality to represent cost constraints is 0.70p + 0.10pw + 8pa ≤ 65

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

Read more:

https://brainly.com/question/11067755

How to factorise n(2n+1)(n+1)+n(2n+1)? I know the answer is n(2n+1)(n+2) but can someone explain every step fully, thanks:)​

Answers

Here is the answer,hope this help
How to factorise n(2n+1)(n+1)+n(2n+1)? I know the answer is n(2n+1)(n+2) but can someone explain every

we have n(2n+1)(n+1) +n(2n+1) = n(2n+1)(n+1)+n(2n+1).1

= n(2n+1)(n+1 +1) = n(2n+1)(n+2)

P/s: sorry i don't know how to explain but i can give you some example so you can understand the question easily

3x(x+1) + (x+1).2 = (x+1)(3x+2)

(5x-4).1 - (5x-4).8 = (5x-4)(1-8) = 7(5x-4)

ok done. Thank to me :>

When the U.S. government needed 10,000 rifles for the army, Eli Whitney applied for the contract. He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. What did he demonstrate

Answers

Answer:

interchangeable parts.

Step-by-step explanation:

Eli Whitney here demonstrates interchangeable parts.He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. popularized in America when Eli Whitney used them to assemble muskets in the first years of the 19th century, allowed comparatively unskilled workers to manufacture vast quantities of arms rapidly and at lower expense, and made repair and replacement of parts exponentially simpler.

1/4 of a number decreased by three is at least two

Answers

Answer:

¹/₄x - 3 ≥ 2

+ 3 + 3

4(¹/₄x) ≥ 4(5)

x ≥ 20

Step-by-step explanation:

In 500 words:

Explain the different ways the Polynesians used to navigate the Polynesian Triangle.. Can an added interpretation dilute or misrepresent the Indigenous knowledge portrayed, why or why not?

This is for history of astronomy class.

Answers

The Polynesian Triangle is a vast region of the Pacific Ocean that encompasses Hawaii, New Zealand, and Easter Island. The Polynesians were skilled navigators who traveled across this vast expanse of water using only the stars, winds, and currents to guide them. They developed a sophisticated system of navigation that allowed them to travel thousands of miles across the open ocean with remarkable accuracy.

One of the primary methods used by the Polynesians to navigate the Polynesian Triangle was celestial navigation. They used the stars, moon, and planets to determine their position and direction. They had an intimate knowledge of the night sky and could identify hundreds of stars and constellations. They used these celestial bodies to create mental maps of the sky that they could use to navigate by. They also used the position of the sun during the day to determine their direction.

Another method used by the Polynesians was wayfinding. Wayfinding is a complex system of navigation that involves observing the natural environment, such as waves, clouds, and birds, to determine one's position and direction. The Polynesians had an intimate knowledge of the ocean currents and wind patterns in their region. They could read the waves and clouds to determine their direction and could even detect land from great distances by observing the behavior of birds.

The Polynesians also used navigational instruments such as the kamalae and the kapele. The kamalae was a wooden board with a small hole in it that was used to measure the angle between two stars. The kapele was a cord with knots tied in it that was used to measure distance traveled.

It is important to note that Indigenous knowledge is often passed down through oral traditions and cultural practices. When interpreting this knowledge, it is essential to do so with respect for its origins and context. Adding interpretations or misrepresenting Indigenous knowledge can dilute its meaning and significance.

In conclusion, the Polynesians used a variety of methods to navigate the Polynesian Triangle, including celestial navigation, wayfinding, and navigational instruments. Their knowledge of the natural environment and their ability to read the stars and currents allowed them to travel vast distances across the open ocean with remarkable accuracy. When interpreting Indigenous knowledge, it is essential to do so with respect for its origins and context.

To know more about Polynesian Triangle refer here:

https://brainly.com/question/31580156#

#SPJ11

Two interior decorating teams are competing in a kitchen remodel competition. their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. whoever has the largest final score wins $150,000. suppose team a received 15 points for time to complete, 9 points for design, and 14 points for total cost. suppose team b received 17 points for time to complete, 7 points for design, and 13 points for total cost. using technology, determine which team won the competition. team a won by 1.9 points. team a won by 1.1 points. team b won by 1.9 points. team b won by 1.1 points.

Answers

Answer:

team b by 1.1

Step-by-step explanation:

everything else was wrong when i did it

in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?

Answers

Answer:

The initial value is 1500

growth

43 % growth

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

f(x) = 1500 * 1.43 ^x

The initial value is 1500

1.43 > 1 so it is growth

1- 1.43 = .43

Change to percent

43 % growth

To compare the effectiveness of two treatments, researchers conducted a well-designed experiment using a randomized block design in which the subjects were blocked by age-group (under 40 40 years and 40 40 years or older). What must be true about the randomized block design of the experiment?

Answers

In the context of your experiment comparing the effectiveness of two treatments using a randomized block design, the following must be true:

1. The subjects are divided into two blocks based on their age: under 40 years and 40 years or older.
2. Randomization is used within each block to assign subjects to one of the two treatments. This ensures that each treatment group within a block has a random mix of subjects, reducing potential biases.
3. The purpose of blocking by age is to control for any confounding variables or potential effects that age might have on the treatment outcomes. By blocking, researchers can more accurately measure the differences between the two treatments.
4. The experiment is well-designed, which means it should minimize potential sources of error, include sufficient sample size, and ensure proper randomization and data collection.
5. To analyze the results, researchers will compare the treatment outcomes within each age block and then combine the results to get an overall measure of the effectiveness of the two treatments.

By using a randomized block design in this experiment, researchers can control for age-related factors and obtain a more accurate comparison of the treatment effectiveness.

Learn more about Random Design here:

https://brainly.com/question/17128981

#SPJ11

Solve the following inequalities and express the answer graphically and using interval notation.
\(\tt \cfrac{3}{5}\:x+4\le -2\)

Answers

The solution for the given inequality is x≤-10, which is marked on the number line given below.

The given inequality is 3/5 x+4≤-2.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality can be solved as follows

3/5 x+4≤-2

Subtract 4 on both the sides of an inequality, we get

3/5 x≤-6

Multiply 5 on both the sides of an inequality, we get

3x≤-30

Divide 3 on both the sides of an inequality, we get

x≤-10

Therefore, the solution for the given inequality is x≤-10, which is marked on the number line given below.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ1

Solve the following inequalities and express the answer graphically and using interval notation.[tex]\tt

a random sample of 121 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. 9. refer to exhibit 7-4. in this problem, the .22 is

Answers

In this problem, 0.22 is a parameter.

Mean is defined as the average of given numbers i.e. sum of all numbers divided by the total number of numbers. The Mean is denoted as m or μ. Standard deviation is the measure which it shows the variation from the mean exists or not. The standard deviation is denoted as σ.

The range of possible values for a variable is known as a parameter. A parametric equation is an equation expressed in terms of parameters. In the equation y = 2x + 1, x is called the parameter. In statistics, a function variable whose variable is sought by means of evidence from the samples is called a parameter.

As per the given question,

Number of bottles   =   121mean ( μ )   =   4 Standard deviation ( σ )   =   0.22

⇒ 0.22 is the standard deviation of the random sample which is a measurement. Measurements of populations can be called parameters.

Therefore, the 0.22 value in the problem is called a parameter.

To know more about parameters refer to:

https://brainly.com/question/28175212

#SPJ4

The complete question is

A random sample of 121 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. In this problem, the value 0.22 is

A. a parameter

B. a statistic

C. the margin of error for a confidence interval

D. the average content of colognes in the long run

E. none of the above

Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3

Answers

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

To know more about differential equation:

https://brainly.com/question/2273154

#SPJ4

Hey! I'm confused on this question It's : 3/4 - 3/10​

Answers

Answer:

9/20

Step-by-step explanation:

I hope this helps :)

Answer:

9/20

Step-by-step explanation:

In order to subtract fractions you need to find the least common denominator.  Since the LCD is 20 (4 times 5 or 10 times 2) you need to multiply each fraction by 1 to get the denominators the same.

3/4 times 5/5 = 15/20

3/10 times 2/2 = 6/20

now you can subtract!

15/20 - 6/20 = 9/20

you can not simplify this, so your final answer is 9/20

In a positively skewed distribution, what order (left to right) will we find the mean, median and more

Answers

So the order from left to right would be: Mode, Median, Mean.

In a positively skewed distribution, the mean is typically larger than the median, and the median is larger than the mode.

This can be illustrated in the following way:

Mean: The mean is affected by extreme values in the tail of the distribution, and will be pulled in the direction of the skew. Therefore, in a positively skewed distribution, the mean will be to the right of the median.

Median: The median is the value that separates the lower 50% of the data from the upper 50% of the data. In a positively skewed distribution, the tail of the distribution is on the right-hand side, which means that the median will be closer to the left-hand side than the mean.

Mode: The mode is the most frequent value in the distribution. In a positively skewed distribution, the mode will be the smallest value, located at the left-hand side of the distribution, while the mean and median will be to the right of it.

To know more about positively skewed distribution,

https://brainly.com/question/12320081

#SPJ11

Solve this equation
y + 4 = 25

Solve this equationy + 4 = 25

Answers

Answer:

y+4=25

We move all terms to the left:

y+4-(25)=0

We add all the numbers together, and all the variables

y-21=0

We move all terms containing y to the left, all other terms to the right

y=21

Other Questions
The table shows three unique functions.f(x) g(x) h(x)463x-2-112121264-59HINHIN1217:8=2FL11212Which statements can be used to compare thecharacteristics of the functions? Select two options.f(x) has an all negative domain.g(x) has the greatest maximum value.All three functions share the same range.h(x) has a range of all negative numbers.All three functions share the same domain. A(n) ________________ is a brand name owned by a wholesaleror a retailer.a. private brandb. manufacturers brandc. captive brandd. individual brand Which of the following quadratic graphs has only one zero?a. y= -2x^2 -4x+8b. y=x^2+8x+16c. y=x^2-16y=2x^2-8x A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $5 per square meter. Material for the sides costs $3 per square meter. Find the cost (in dollars) of materials for the least expensive such container. The following text consists of part of an article from the online edition of a newspaper. The article is a report on how some young people are choosing to move out of London due to the high cost of living a Imagine you are an employer keen to attract young people to live and work in London. You believe the article has not fairly represented London life and believe there are many advantages to living and working in the capital you are keen for readers to know your views. Write a letter to the author of the article expressing your view, Write 150-200 words. (10 marks) b Compare your letter with the original article, analysing the form, structure and language. (15 marks) How do you estimate an irrational vsquare root? Use COMPLETE sentences! Make sure you use LOTS of details. Word Bank Square Root Square Estimate Predict - Perfect Squares Whole Number Number Line Left/Right Tick Marks Upper/Lower Radical Consecutive On what is single stranded DNA immobilised in (1) Illuminasequencers and (2) Ion Torrent sequencers? ILL BRAINLIEST YOU IF YOU PLEASE HELP ME Kirk wants to attend a four-year college. Which cost factors does Kirk need to research for the out-of-state school he wants to attend? Check all that apply. Tuition living expenses local movies and restaurants books. The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid? When you position a resident on their back, their legs should normally be positioned: Consider the following production process making an electronic component for a navigation system. The process consists of 20 steps (stations) and operate at a cycle time of 1 minute/unit. Their most error prone operation is step 9 of 20. If each worker inspects the work of the previous steps and about 50 units of inventory are between step (station) 9 and the end of the process, roughly equally spaced across the remainder of the process. At which station would the defect made at station 9 would be detected? 10 9 11 20 International accounting standards? are required for successful international trade make it easy for an international marketer to rely on global balance sheets and income statements all follow gaap regulations do not exist are supervised by a special agency of the united nations a basketball referee tosses the ball straight up for the starting tip-off. at what velocity (in m/s) must a basketball player leave the ground to rise 1.12 m above the floor in an attempt to get the ball? What is the central idea of this text? A. Visitors follow "Leave No Trace" principles at Denali Park, a park that was set aside more than 100 years ago to protect wildlife, preserve history, and provide for public enjoyment. B. Denali Park is governed by "Leave No Trace" principles because it is remote, has few trails, provides no developed campsites off the park road, and contains hazards such as remote terrain and large wildlife. C. "Leave No Trace" principles are intended to preserve natural areas, so the goal is for people to leave natural areas in Denali better than they found them for animals and for other people. D. Denali Park is governed by "Leave No Trace" principles, which include planning ahead and preparing, traveling and camping on durable surfaces, and properly disposing of waste. depend on sulfur for growth, found in extreme habitats like hot springs or extreme cold 2(2x - 1) = 2x + 5x - 12 solve for x The test of controls for payroll includes the following audit procedures. Next to each of the procedures, indicate the relatedmanagement assertion about transactions.1. Trace payroll information to management reports and to general ledger account postings.2. Obtain control of a periodic payroll and conduct a surprise distribution of paychecks.3. Select a sample of personnel files and trace pay rate and deduction information to payroll department files.4. Trace cost accounting labor cost distributions to management reports and postings in general ledger accounts.5. Select a sample of payroll register entries and recalculate gross pay, deductions, and net pay.6. Select a sample of cost accounting analyses of payroll and vouch to time records.7. Select a sample of clock time cards and trace to payroll register.S. Select a sample of personnel files and trace pay rate to union contracts. Find the x - and y - intercepts of the line. Y= 1/4x + 2Y intercept: ( , )X intercept: ( , ) 5. a customer has requested that endurance corporation fill a special order for 2,000 units for $35.00 a unit. while the product would be modified slightly for the special order, the normal unit product cost is $21: direct materials: $6 direct labor: $4 variable manufacturing overhead: $3 fixed manufacturing overhead: $8 direct labor is a variable cost. the special order would have no effect on the company's total fixed manufacturing overhead costs. the customer would like modifications made to the product that would increase the variable costs by $1.20 per unit and that would require an investment of $15,000 in special printers that would have no salvage value. the company has maximum capacity of producing 30,000 units per year and there is a current demand for all 30,000 units. the company currently sells 30,000 units per year for $31.00 per unit. if the special order is accepted, the company's overall net operating income would increase (decrease) by: a. $(46,000) b. $(9,400) c. $0 d $26.600