By fraction , 3 3/7 will it take 7 men to do the job if they work at the same rate.
What is fraction in maths?
In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the proportionate pieces of the whole.
The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.
per person per hour
1/4*6 = 1/24
7 men per hour
1/24 * 7 = 7/24
total times
1 ÷ 7/24 = 1 * 24/7
= 3 3/7
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A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. Suppose 1 step of the dog covers 1 foot. How many feet would the cat cover in taking 12 steps
According to unitary method, cat takes 12 steps to cover 9 feet.
How do you translate distance in steps?Measure your stride length or assume that it is 2.2 feet for women and 2.5 feet for men to determine it. Add the stride length to the number of steps, for example, 2.2 feet multiplied by 1,000 feet equals 2,200 feet. The answer is 2,200 ft / 5,280 0.42 mi when expressed in miles.
Given, it takes a dog three steps to cover the same distance as a cat four steps.
4 steps of a cat = 3 steps of a dog
12 cat steps equal (3/4)*12 to 9 dog steps.
Additionally, a dog's step covers one foot.
The dog moves nine feet in nine steps.
So a cat takes 12 steps to cover 9 feet.
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someone help me
Plsss
Answer:
Step-by-step explanation:
oh thats easy its 2
Annie and Bonnie are running laps around a 400-meter oval track. They started together, but Annie has pulled ahead, because she runs 25% faster than Bonnie. How many laps will Annie have run when she first passes Bonnie
Bonnie will complete four laps before being passed by Annie because she runs an additional quarter lap for every lap she completes. This indicates that Annie and Bonnie are on an equal footing, and Annie must complete an additional lap to pass Bonnie. Annie will have completed five laps after that.
What unitary method examples are there?We can use the unitary method to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.
What circumstances allow us to use the unitary method in our daily lives?The unitary method can be used to calculate how many kilometres a car will travel on one litre of gas if it travels 44 km on two litres of fuel. In other words, the unitary method is the process by which we determine the value of a single unit and then use that information to determine the values of multiple units.
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What is the formula of polynomial?
The general formula of a polynomial is:
P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0
A polynomial is a mathematical expression consisting of variables (such as x), coefficients, and exponents. The general formula of a polynomial is P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0. Here, a_n, a_(n-1), ... , a_2, a_1, and a_0 are coefficients, and n is the degree of the polynomial. The highest exponent in the polynomial is the degree of the polynomial. For example, in the polynomial 3x^2 + 5x – 8, x^2 is the highest exponent, so the degree of the polynomial is 2. The coefficient of the highest exponent is known as the leading coefficient. In the example above, 3 is the leading coefficient. Polynomials can be used to represent a variety of functions, from simple linear equations to complex curves.
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A $73 ceramic vase costs $78.84 after sales tax is figured in. What is the sales tax percentage?
Answer:
8%
Step-by-step explanation:
78.84 - 73 = 5.84
Tax = $5,84
5.84 / 73 = 0.08
0.08 * 100 = 8%
Answer:
8%
Step-by-step explanation:
1. Set up the equation represented
[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]
x is the sales tax percentage. hence, we have to solve for x.
[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]
[tex]$78.84 = \frac{73x}{100} + 73[/tex]
[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73
[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100
[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73
∴ There was an 8% sales tax on the ceramic vase.
PLEASE MARK BRAINLIEST IF THIS HELPED YOU. THANKS.
Adrian has $1 worth of nickels and dime. He has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Adrian has. Define the variables that you use to write the system.
Answer: We can use two variables, x and y, to represent the number of dimes and nickels Adrian has, respectively.
We know that Adrian has twice as many nickels as dimes, so we can write the equation:
y = 2x
We also know that the total value of the coins is $1, and since nickels and dimes have different values, we can write the equation:
0.05y + 0.1x = 1
So the system of equations is:
y = 2x
0.05y + 0.1x = 1
These equations can be solved simultaneously to find the number of nickels and dimes that Adrian has.
Step-by-step explanation:
Answer: X+ywwiww asksn q9ru3
Step-by-step explanation:
88-2
Determine whether the graph of the given equations are parallel, perpendicular, or neither
Answer:
7) perpendicular
8) perpendicular
Step-by-step explanation:
If the equations are in the form:
y = mx + b
(they all are in this form in these questions)
the m, the number in front of the x, is the slope.
If the slopes are the "negative reciprocals" (opposite signs and flipped over from each other) of each other, then the lines are perpendicular.
You can also do a quick check by, if the m values are multiplied together you should get -1.
1/3 • - 3 = -1
1 • -1 = -1
1/3 and -3 have opposite signs and are reciprocals (flipped over)
1 and -1 are opposite signs. It isn't very obvious maybe that they are reciprocals, but they are. Like 1/1 flipped over is 1/1.
Where is quadrant 4?
The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.
Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.
90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.
The x- and y-coordinates are both positive in quadrant I.
The x-coordinate is negative and the y-coordinate is positive in quadrant II.
The x- and y-coordinates are positive in quadrant III.
Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.
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1. Write the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1).
2. Find the reflection of the point A(3, -2) through the mirror line of y = 1/2x − 1.
Can u please help.......
Using the centroid P on the triangle, the value of QN is 25.5 and PN is 8.5
What is Centroid of a TriangleThe centroid of a triangle is a point located at the intersection of the three medians (the lines that connect the vertices to the midpoints of the opposite sides). The centroid divides each median in two segments that have the same length. It is the center of gravity of the triangle and is the point at which the triangle's three medians intersect.
The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
In this triangle, the centroid is at P and the QP is 17.
a) QN
The distance between QP is two-thirds the length of QN
The length of QP = 17
QP = 2/3 QN
17 = 2/3 QN
QN = (3 * 17) / 2
QN = 25.5
b) PN
The distance between PN is calculated as;
PN = QN - QP
PN = 25.5 - 17
PN = 8.5
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26. Pregnancy length The length of human pregnancies from conception to birth
follows a Normal distribution with mean 266 days and standard deviation 16 days.
Choose a pregnant woman at random. Let X = the length of her pregnancy.
(a) Find P(X2 240) and interpret the result.
(b) What is P(X> 240)? Explain.
(c) Find the value of c such that P(X ≥ c) = 0.20. Show your work.
There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the the value of c such that P(X ≥ c) = 0.20 is 279.44
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,
Given that Mean (μ) = 266
and Standard deviation(σ) = 16
The z-score is the value decreased by the mean divided by the standard deviation:
z = (x−μ)/σ = (240−266)/16
≈−1.63
Determine the corresponding probability using the normal probability table in the appendix:
P (X ≥ 240)
= 1 - P (X < 240)
= 1 - P(Z < -1.63)
= 1 - 0.0516
=0.9484
(a) There is a chance of about 94.84% that the pregnancy last at least 240 days
(b) P (X ≥ 240) = 0.9484
(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.
The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04
thus, the z-value is z=0.84.
x = μ+zσ = 266+0.84*(16 )
=279.44
The the value of c such that P(X ≥ c) = 0.20 is 279.44
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There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the the value of c such that P(X ≥ c) = 0.20 is 279.44
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,
Given that Mean (μ) = 266
and Standard deviation(σ) = 16
The z-score is the value decreased by the mean divided by the standard deviation:
z = (x−μ)/σ = (240−266)/16
≈−1.63
Determine the corresponding probability using the normal probability table in the appendix:
P (X ≥ 240)
= 1 - P (X < 240)
= 1 - P(Z < -1.63)
= 1 - 0.0516
=0.9484
(a) There is a chance of about 94.84% that the pregnancy last at least 240 days
(b) P (X ≥ 240) = 0.9484
(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.
The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04
thus, the z-value is z=0.84.
x = μ+zσ = 266+0.84*(16 )
=279.44
The the value of c such that P(X ≥ c) = 0.20 is 279.44
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you are running a marathon along a straight path. you are approaching mile marker 12 at a speed of 300 feet per minute. you are currently 1500 feet from mile marker 12. write an absolute value equation that models your distance in feet from mile marker 12 after x minutes
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given:
300 feet per minute
where x is the number of minutes,
The Y is 1200.
Thus,
Taking account of all the above information
We get,
This will give us an equation of 1200 = 400x
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
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1. Which word doe not have a imilar meaning to - condemn
critique
diparage
criticize
cenure
Among the given four options, the word that doesnot have similar meaning to condemn is "critique".
What is the meaning of word condemn?The word "condemn" means to express strong disapproval or criticism of something or someone, often in a formal or official manner. It can also mean to pronounce a judgment of guilt, especially in a court of law. It implies a severe judgment or punishment. Condemn also implies the declaration of something being morally wrong or unacceptable. It is a strong word that carries a sense of condemnation or blame.
Make two sentences using the word condemn.The sentences are given below:
The judge condemned the defendant for his crimes, sentencing him to life in prison.The community condemned the company for their unethical business practices and called for a boycott.The word that does not have a similar meaning to "condemn" is "critique".
"Condemn" means to express strong disapproval of something or someone, often in a formal or official manner.
"Criticize" means to express disapproval or to find fault with something or someone
"Censure" means to express strong disapproval or criticism of something or someone, typically in a formal or official manner.
"Disparage" means to speak or write about in a negative way; to belittle or criticize.
"Critique" means to evaluate (a work of art, literary work, etc.) in terms of its strengths and weaknesses; to give an analysis or evaluation of something."Critique" is different because it is an analysis or evaluation of something, whereas the other words are about expressing disapproval or criticism.
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Using data from 1944 through 2000, the histogram shows the number of years that had a particular number of hurricanes reaching the East Coast of the U.S. For example, in 14 of those years there was exactly one hurricane each year that reached the East Coast of the U.S. What is the median number of hurricanes per year reaching the East Coast from 1944 through 2000
The median number of hurricanes per year reaching the East Coast from 1944 through 2000 is two.
What is median number?Median number is the middle value of a set of numbers. It is the number found at the midpoint of a sorted data set, when all the numbers are arranged in numerical order from lowest to highest. The median number is used to determine the average of a set of numbers, and is often used to represent the central tendency of the data. To calculate the median, first arrange the numbers from lowest to highest, then locate the middle value. If there is an even number of values, the median is the average of the two middle numbers.
This is calculated by taking the middle value of the data set. In this case, there were 18 years with one hurricane, 16 years with two hurricanes, 13 years with three hurricanes, and six years with four hurricanes. Thus, the median number of hurricanes in this data set is two.
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A whale descends from the surface of the water at a rate of 22 feet per minute.
What is the position of the whale relative to the surface after diving for 3
minutes?
Answer:
66
Step-by-step explanation:
22 per minute
? Per 3 minutes
22 x 3 = 66
Answer: The position of the whale relative to the surface of the water can be determined by multiplying the rate at which it descends (22 feet per minute) by the amount of time it has been descending (3 minutes).
Position = Rate x Time
Position = 22 feet/minute x 3 minutes = 66 feet
So, after diving for 3 minutes, the position of the whale relative to the surface of the water is 66 feet.
It means the whale descended for 66 feet from the surface level of the water.
Please keep in mind that this information is assuming a linear motion, without taking into account any other factors that could affect the whale's descent such as currents or obstacles in the water.
Step-by-step explanation:
Question Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. f(x)=x4−6x3−8x+48; x−6
Answer:
(x-2)(x²+2x+4)(x-6)
Step-by-step explanation:
6 | 1 -6 0 -8 48
_____6_0_0_-48__
1 0 0 -8 | 0
As we can see, our remainder is 0, so x-6 is indeed a factor of the polynomial. Also, we can see that the factored polynomial is [tex]x^4-6x^3-8x+48=(x^3-8)(x-6)=(x-2)(x^2+2x+4)(x-6)[/tex]
Simplify: [tex]\frac{10m}{5m}[/tex]
Answer:
2
When you cancel out the m (cause its the common factor) the only thing left is to simplify 10/5 which is 2.
The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38
Answer:
rate of change = 5
Step-by-step explanation:
the slope m gives the measure of the rate of change of the function
calculate the slope m using the slope formula
m = [tex]\frac{y_{2-y_{1} } }{x_{2-x_{1} } }[/tex]
with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table
m = [tex]\frac{18-38}{1-3}[/tex] = [tex]\frac{-20}{-2}[/tex] = 5
then rate of change = 5
The price of an article is fixed at a certain percent above the cp and sold it at 5% discount . If the cp is rs16000 and sp is rs20900 with 10% vat ,how much percentage is mp more then cp ?
Markup price is 30% more then Cost price.
What is VAT?The selling price includes a VAT (which is a form of tax) and a discount.
A Vat is a form of tax which increases the price of a good and a discount reduces the price.
The marked price is mp = cp(1 + 5%) = 1.50cp
The selling price is sp = mp(1 -10%) = 0.90mp
The gain is profit =sp -cp
= (0.90(1.50cp)) -cp
= cp(0.90·1.50 -1)
= 0.04cp
Mark up = (selling price - cost price) / cost price
(20900 - 16,000) / 16,000 = 0.306 = 30.6 %
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please help if you know the answer i need to get my grade up
Work hard to get all your work done and still have time to study.
How can you request a grade increase?Highlight your drive to improve. It is critical that your lecturer recognizes your desire to enhance your course performance. During your meeting, ask the professor for advice on how to enhance future assignments. “I’m really committed to improving my grade in this course,” try stating.
Say what you feel is wrong with your grade calmly and professionally. Present additional examinations and assignments that indicate your abilities, and provide a solution that you believe is feasible. Be persuading and confident, but don’t think you know more or better than your teacher.
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Is a solution of pair of equations 3x 2y 4 and 2x y 5?
The solution of this pair of equations is (2, 3).
To solve this pair of equations, we can use the substitution method.
First, we solve the first equation for y:
3x + 2y = 4
2y = 4 - 3x
y = (4 - 3x) / 2
Next, we substitute this expression for y in the second equation:
2x + (4 - 3x) / 2 = 5
2x + 2 - 3x = 10
-x = 8
x = -8
Finally, we substitute this value for x in the expression for y to find the value of y:
y = (4 - 3(-8)) / 2
y = (4 + 24) / 2
y = 28 / 2
y = 14
Therefore, the solution of this pair of equations is (x, y) = (-8, 14).
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Is 4x² 3x 7 a polynomial in one variable?
'x' is the only variable in the provided polynomial. As a result, the polynomial 4x² - 3x + 7 has one variable.
what is polynomial ?A polynomial is an expression in mathematics made up of variables (sometimes referred to as indeterminates) and coefficients that only employs the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that combines variables, constants, and exponents utilizing addition, subtraction, multiplication, and division of numbers (No division operation by a variable).
given
'x' is the only variable in the provided polynomial. As a result, the polynomial 4x² - 3x + 7 has one variable.
The following list includes a few examples of polynomials with one variable: x+2. x2+3x+2.
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Write a rule to calculate 1% of any number
Which inequalities are true? Check all that apply. You
can use the tool on the right to help you.
5/6 > 4/6
3/8< 5/8
4/5 <2/5
4/7> 6/7
2/31/3
The true inequalities are:
5/6 > 4/6
3/8< 5/8
2/3 > 1/3
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
5/6 > 4/6
0.833 > 0.667
so, this inequality is true.
3/8 < 5/8
0.375 < 0.625
so, this inequality is true.
4/5 < 2/5
0.8 < 0.4
so, this inequality is false.
4/7 > 6/7
0.571 > 0.857
so, this inequality is false.
2/3 > 1/3
0.667 > 0.333
so, this inequality is true.
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The sales tax in one town is 8%.So, the total cost of an item can be written as c=0.08cents .what is the total cost of an that sells for $12 ?its due tmrr asap
The total cost of an item that sells for $12 is $12.96
How to determine the total cost of an item that sells for $12?From the question, we have the following parameters that can be used in our computation:
Selling price = $12
Sales tax = 8%
The total cost of an item that sells for $12 is then calculated as
Total cost = Selling price * (1 + Sales tax)
Substitute the known values in the above equation, so, we have the following representation
Total cost = 12 * (1 + 8%)
Evaluate
Total cost = 12.96
Hence, the total cost is $12.96
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if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y
Answer:
[tex](x,y)\rightarrow(3,2)[/tex]
Step-by-step explanation:
I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:
[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]
[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]
[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]
How do you solve a math problem step by step?
Reading a math word problem through to the end will help you comprehend what you need to do in order to solve it. After reading it, you may determine which components of the issue that need to be resolved are the most important and which are not.
There are few basic steps to be followed while solving any mathematics problem:
1. Read and understand the problem.
2. Identify what is given and what is needed to solve the problem.
3. Choose an appropriate strategy to solve the problem.
4. Carry out the strategy.
5. Check your answer to make sure it is correct.
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The sum of the interior angles of a polygon is 20 x 180.
Work out the number of sides of the polygon.
sides
So the polygon has 22 sides.
A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges. The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result. A triangle with three sides is an example of a polygon.
The sum of the interior angles of a polygon can be calculated using the formula:
(n-2) * 180 = sum of the interior angles
Where n is the number of sides of the polygon.
We know that the sum of the interior angles is 20*180, so we can substitute this into the formula:
(n-2) * 180 = 20 * 180
Solving for n, we get:
n = (20 * 180) / 180 + 2
n = 20 + 2
n = 22
So the polygon has 22 sides.
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What are 2 examples of composite number?
Composite numbers are whole numbers that contain more than two elements.. Examples of composite numbers include 36 and 42. These numbers are divisible by more than just 1 and themselves. 36 is divisible by 1, 2, 3, 4, 6, 9, 12, and 18. 42 is divisible by 1, 2, 3, 6, 7, 14, and 21.
Example 1: To find the factors of 36
Step 1: Start by dividing 36 by 2, which gives us 18.
Step 2: Divide 18 by 2, which gives us 9.
Step 3: Divide 9 by 3, which gives us 3.
Step 4: Divide 3 by 3 which gives us 1.
Step 5: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18.
Example 2: To find the factors of 42
Step 1: Start by dividing 42 by 2, which gives us 21.
Step 2: Divide 21 by 3, which gives us 7.
Step 3: Divide 7 by 7 which gives us 1.
Step 4: The factors of 42 are 1, 2, 3, 6, 7, 14, and 21.
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A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original
In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.
In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20. 20 students attended the fair, total. Group age = 0 to 16
This age range is located in the histogram's first interval, which is 0–19. The graph for the pie eating competition would remain the same if all 20 pupils had participated in the hay bale toss, with the bar representing 0–19 rising from 40 to 60.
The graph of the Hay Bale Toss would remain same if all 20 pupils had participated in the Pie Eating Contest, increasing the bar of 0-19 from 20 to 40.
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