Answers
The graph of the function y=3x+1 is shown.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
We are given that;
The function is y=3x+1
Now,
When x = 0, y = 3(0) + 1 = 1, so one point on the function is (0, 1).
When x = 1, y = 3(1) + 1 = 4, so another point on the function is (1, 4).
When x = -1, y = 3(-1) + 1 = -2, so a third point on the function is (-1, -2).
Therefore, the graph will be given the attachment
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Related Questions
Bright Designs Crayon Factory uses 400 milliliters of melted wax for each of their crayons. The factory puts 16 crayons in each box and produces 500 boxes of crayons each day. How many liters of melted wax does Bright Designs Crayon Factory use each day?
Answers
Answer:
First, let's find the total number of crayons produced each day:
500 boxes/day x 16 crayons/box = 8,000 crayons/day
Since each crayon uses 400 milliliters of melted wax, the total amount of wax used in one day can be found by multiplying the number of crayons by the amount of wax used per crayon and converting from milliliters to liters:
8,000 crayons/day x 400 mL/crayon x 1 L/1000 mL = 3,200 liters/day
Therefore, Bright Designs Crayon Factory uses 3,200 liters of melted wax each day.
Step-by-step explanation:
Answer:
Bright Designs Crayon Factory uses 3,200 liters of melted wax each day.
Step-by-step explanation:
Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
a. What is the probability that a randomly selected person's IQ is over 120?
b. Find the values of Q1, Q2, and Q3 for IQ.
c. Find the probability of an outlier for IQ for a single person.
d. If we randomly selected 10 people, what is the probability their average IQ is over 105?
Answers
a)0.1359, or 13.59%
b)85,100,115
c)0.0062, or 0.62%.
d)0.9705, or 97.05%
a. The probability of a randomly selected person's IQ being over 120 is 0.1359, or 13.59%.
b. Q1 for IQ is 85, Q2 is 100, and Q3 is 115.
c. The probability of an outlier for IQ for a single person is 0.0062, or 0.62%.
d. The probability of the average IQ of 10 randomly selected people being over 105 is 0.9705, or 97.05%.
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1. in a survey of 290 university applicant, 181 applied ESUT. 142 applied for UNN, 117 applied for FUTO, and each admission into at least one of the three universities. If 75 applie and UNN, 60 applied for ESUT and FUTO, and 54 for UINN a a. Draw a Venn diagram to illustrate this information. b. How many applicant applied All three universities il Exactly two universities PLASU towns.
a Draw a Venn diagram to illustrate the information
b how many applicant applied
I all three universities
ii Exactly two universities
III plasu
Answers
Answer:
a. Here is a Venn diagram to illustrate the information:
markdown
ESUT
/ \
FUTO UNN
\ /
\ /
(X)
where (X) represents the number of applicants who applied to all three universities.
b. To find the number of applicants who applied to all three universities, we can use the formula:
scss
Total = ESUT + FUTO + UNN - (Exactly two) - (None) + (All three)
We know that:
makefile
ESUT = 60 + 54 + (All three)
UNN = 75 + (All three)
FUTO = 54 + 60 + (All three)
Total = 290
Substituting these values, we get:
scss
290 = (60 + 54 + All three) + (54 + 60 + All three) + (75 + All three) - (Exactly two) - (None) + (All three)
Simplifying, we get:
scss
290 = 249 + 2(All three) - (Exactly two) - (None)
We also know that:
scss
None = Total - (ESUT + FUTO + UNN) = 290 - (181 + 142 + 117) = -150
This negative value means that there are no applicants who did not apply to any of the universities. This is a contradiction, so we must have made an error in our calculations.
Therefore, we cannot find the number of applicants who applied to all three universities or exactly two universities.
Find f(g(x))
f(x)=x^2 g(x)=1/x-1 Enter a,b,c,d, or e. a. 1/x^2-1
b. 1/x-1
c. 1/x^2 -2x+1
d. (1/x^2 -1)^2
e. 1/x^2 - 1
Answers
The correct answer is c. 1/x^2 - 2/x + 1.
To find f(g(x)), we need to plug in the function g(x) into the function f(x).
f(x) = x^2
g(x) = 1/x-1
So, f(g(x)) = (1/x-1)^2
Using the distributive property, we can expand this expression:
f(g(x)) = (1/x-1)(1/x-1)
f(g(x)) = 1/x^2 - 1/x - 1/x + 1
f(g(x)) = 1/x^2 - 2/x + 1
Therefore, the correct answer is c. 1/x^2 - 2/x + 1.
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The functionh(x)=x−71can be expressed in the formf(g(x))whereg(x)=(x−7)andf(x)is defined as:
Answers
The function h(x) can be expressed as f(g(x)) where g(x) = (x-7) and f(x) = x.
The function h(x) = (x-7)1 can be expressed in the form f(g(x)) where g(x) = (x-7) and f(x) is defined as f(x) = x1.
To find f(x), we need to isolate x on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 1, which is 1.
f(x) = x1 * 11 = x
Therefore, the function h(x) can be expressed as f(g(x)) where g(x) = (x-7) and f(x) = x.
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Send help due today!
question 1
A coat is on sale for 33% off the original price. What percent of the original price would you have to pay to buy the coat?
question 2
If Juan bought a video game and paid 8% sales tax on his purchase, what percent of the purchase price of the game did he pay as the total bill?
Answers
You would have to pay 67% of the original price to buy the coat and Juan paid 1. 08% of the purchase price as the total bill.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
If the coat is on sale for 33% off the original price, then the price you would have to pay is equal to 100% - 33% = 67% of the original price.
So, you would have to pay 67% of the original price to buy the coat.
If Juan paid 8% sales tax on his purchase, then the total bill would be the original price plus 8% of the original price.
Let's say the purchase price of the video game is x.
Then, the sales tax would be 8% of x, which is 0.08x.
So, the total bill that Juan paid is x + 0.08x = 1.08x.
Therefore, Juan paid 1. 08% of the purchase price as the total bill.
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P1 (1,6) P2 (4,0)
Cual es la ecuacion punto-pendiente de la recta que pasa los siguientes puntos?
Answers
Answer:
La ecuación punto-pendiente de la recta que pasa por los puntos P1 (1,6) y P2 (4,0) es:
Primero, encontramos la pendiente de la recta utilizando la fórmula:
m = (y2 - y1) / (x2 - x1)
m = (0 - 6) / (4 - 1) = -2
Luego, utilizamos la fórmula punto-pendiente de la recta:
y - y1 = m(x - x1)
y - 6 = -2(x - 1)
y - 6 = -2x + 2
y = -2x + 8
Por lo tanto, la ecuación punto-pendiente de la recta que pasa por los puntos P1 (1,6) y P2 (4,0) es y = -2x + 8.
Step-by-step explanation:
Write the subtraction sentence that is shown on the number line (Do not reduce the fractions)
Answers
We get 3/4 when we subtract 4.4/4 from 7.5/4.
How does subtract example work?
In mathematics, subtraction involves removing anything from a grouping or a number of objects. Whatever is left inside the group gets smaller as you subtract. The following subtraction issue, five minus three equals, is an illustration. 2
Does it say subtract or subtraction?
Short version: "Subtract" and "subtraction" (without the "s") are the proper forms. The fact that many languages have a term with a similar meaning that does contain an "s"—for example, solitaire in French and substrate in Spanish—probably explains how frequently English language learners make the error.
In light of the stated query
There is a number line with two numbers on it.
The one just after 4/4 and another one is after 7/4
Hence, the final answer is 7.5/4 -4.5/4 = 3/4
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At a school assembly there were 500 students. 4 out of 10 were wearing spirit wear. How many students were expected to be wearing the spirit wear
Answers
The number of students who are expected to be wearing the spirit wear out of 500 total students are 200 students.
Since it is given that there are 500 students studying in a school and 4 out of 10 students are expected to wear spirit wear. This means that the ratio of students wearing spirit wear to students wearing normal clothes is 4:10. Now, if we consider the ratio for total number of students that is 500 and the expected number of students wearing spirit dress are equal to x, then following relation is obtained.
Number of students wearing spirit dress out of 10 = 4
Number of students wearing spirit dress out of 1 = 4/10
Number of students wearing spirit dress out of 500 = (4/10)*500
∴ Number of students wearing spirit dress out of 500 = 200 students
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Slope intercept form of 8x+y= -4
Answers
Answer: y=mx+b
Step-by-step explanation:
A survey asked 1,200 students which movie genre was their favorite. The results of the survey are shown in the circle graph.
Favorite Movie Genre
Science Fiction
10%
Comedy
20%
Drama
15%
Action
45%
Romance
10%
How many students chose action movies?
Answers
Answer:
Step-by-step explanation:
The number of the students chose action movies, is 4
What is survey?A survey is a list of questions aimed for extracting specific data from a particular group of people. Surveys may be conducted by phone, mail, via the internet, and also at street corners or in malls
Given that, a survey asked 1,200 students which movie genre was their favorite.
We need to find that how many students chose action movies,
There are 45 % of the students watched the same genre,
Therefore, the number of the students chose action movies, =
45 / 1200 x 100
= 3.75
≈ 4
Hence, the number of the students chose action movies, is 4
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five students came for after school tutoring.lin's teacher assigned each of them the same numder of problems to complete. then he assigned each students 2 more problems. 30 problems were assigned in all
Answers
Answer:
4
Step-by-step explanation:
Five students shared 30 questions by receiving an unknown number of questions each followed by 2 questions each
Let that unknown number be x
Let the second set of questions be 10 (5x2)
5x +10=30
Subract 10 from both sides
5x = 20
Divide both sides by 5
X=4
The teacher assigned each student 4 questions each (4 x 5=20)
Write an equation
parallel to y = -2x - 5
with a y-intercept of
6
Answers
Answer:
y=-2x+6
Step-by-step explanation:
When it comes to parallel lines the slopes are the same they just have different y-intercepts.
Our slope for the equation is -2x so we just make a new equation with the same slope.
Since we are asked to put it with a y-intercept of 6 we just add +6 at the end.
Giving us y=-2x+6.
If the length of a rectangle is x ^ 2 + 3y and the width is x ^ 2 - 3y , write an expression to represent the area
Answers
Answer: x⁴ - 9y²
Step-by-step explanation:
The area of a rectangle is length x width so...
Area = (x² + 3y)(x² - 3y)
Simplify:
Area = x⁴ + 3yx² - 3yx² - 9y²
Area = x⁴ - 9y²
Hope this helps!
Choose all the due process rights that are found in the 6th Amendment.
A)
the right to be assisted by counsel
B)
the right to a speedy and public trial
C)
the right to confront and cross-examine witnesses
D)
the right to not be 'deprived of life, liberty or property without due process
of law
E
the right of the people to be secure in their persons, houses, papers, and
effects, against unreasonable searches and seizures
Answers
The due process rights found in the 6th Amendment are: the right to be assisted by counsel, the right to a speedy and public trial, and the right to confront and cross-examine witnesses. Option A, B, C are correct.
The right to assistance of counsel - this means that a defendant has the right to be represented by an attorney, who can help them prepare their defense, cross-examine witnesses, and navigate the complexities of the criminal justice system.
The right to a speedy and public trial - this means that a defendant has the right to a trial that is conducted promptly and is open to the public, so that justice can be done fairly and transparently.
The right to confront witnesses - this means that a defendant has the right to cross-examine witnesses who testify against them in court, in order to test their credibility and the accuracy of their testimony.
Option D is a due process right found in the 5th Amendment, while option E is a right found in the 4th Amendment.
Hence, A. B. C. the right to be assisted by counsel, right to a speedy and public trial, right to confront and cross-examine witnesses is the correct option.
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Which angle is formed by EA−→
and EG−→−?
Select all that apply.
Answers
Answer:
Step-by-step explanation:
[tex]\angle 2,\angle AEG, \angle GEB[/tex]
al numbers that could be zeros of the polynomial accordir P(v)=14v^(5)+6v^(4)+5v^(3)-4v^(2)+2v
Answers
The only possible rational zero of the polynomial is 0
The possible zeros of the polynomial P(v) = 14v^5 + 6v^4 + 5v^3 - 4v^2 + 2v can be found by using the Rational Root Theorem. This theorem states that if a polynomial has rational zeros, they will be in the form of p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
In this case, the constant term is 0 and the leading coefficient is 14. The factors of 0 are just 0, and the factors of 14 are 1, 2, 7, and 14. Therefore, the possible rational zeros of the polynomial are 0/1, 0/2, 0/7, and 0/14, which all simplify to just 0.
This means that the only possible rational zero of the polynomial is 0. However, there may also be irrational or complex zeros. To find these, we would need to use other methods, such as synthetic division or the quadratic formula.
In conclusion, the possible zeros of the polynomial P(v) = 14v^5 + 6v^4 + 5v^3 - 4v^2 + 2v are 0 and any irrational or complex numbers that satisfy the equation.
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May anyone help me with this ?
Answers
Answer:
x+8+2x-5. 2x+x+8-5. x=3
2x3+3x2-12x+5 criterio de la primera derivada
Answers
Answer:
To apply the first derivative test to the function f(x) = 2x^3 + 3x^2 - 12x + 5, we need to find its derivative:
f'(x) = 6x^2 + 6x - 12
Then, we need to find the critical points by solving for f'(x) = 0:
6x^2 + 6x - 12 = 0
Dividing both sides by 6, we get:
x^2 + x - 2 = 0
Factoring the left side, we get:
(x + 2)(x - 1) = 0
So the critical points are x = -2 and x = 1.
To determine the intervals where f(x) is increasing and decreasing, we need to evaluate f'(x) on each side of the critical points. We can use a sign chart to do this:
x | -2 | 1 |
------|-----|----|
f'(x) | -12 | 0 |
Since f'(x) is negative to the left of x = -2 and positive to the right of x = -2, the function is decreasing to the left of x = -2 and increasing to the right of x = -2. Since f'(x) changes sign at x = 1, there is a local minimum at x = 1.
Therefore, using the first derivative test, we can conclude that the function has a local minimum at x = 1.
Step-by-step explanation:
A bag of mixed nuts contains almonds and hazelnuts. There are (6x+13) nuts in this particular bag, and (3x-7) of there are hazelnuts.
Which expression represents the number of almonds in the bag?
Answers
The expression that represents the number of almonds in the bag is (6x+13) - (3x-7)
What is Linear Equation?
A linear equation is a mathematical equation that represents a straight line on a graph. It is an equation in which the highest power of the variable is one. A general linear equation can be represented as y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
Linear equations can be solved algebraically using techniques like substitution or elimination, and they can be used to model real-world situations involving linear relationships.
The expression that represents the number of almonds in the bag is (6x+13) - (3x-7) which simplifies to 3x + 20.
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help!!!!!!!!! im on 95/100 points on ixl and I hate quadrants.
Answers
Step-by-step explanation:
If a point is on the y-axis, it means that its x-coordinate is 0. Therefore, x = 0. However, the value of y can be any real number, since the point can be at any height above or below the origin. Therefore, y ≠ 0. So the statement that must be true is x = 0.
Math141 Spring 22 Do Home-Secling Di Uren Pit 01/01 12A Homework Section 7.2: Sampling Distributions Question 2.7.2.30 Part 2 of 2 1.3.6.7 and 9 ott 0.2.4.6, and even. Consider 24-tietoa random number table Compute porta and below HW Scon 1001N, 1.17 of 11 ports Points: 5 of 1 Save How many of the 24 digits would you expect to be even on average? 12. (Type an integer or a decimal. Do not round) b. If you actually courted, would you got exactly the number predicted in part ay? Explan OA Yes, because the sample is sufficiently large that the sample proportion will be the same as the population proportion OB. No, because samples will never have exactly the number predicted due to variation from sample to sample OC. No, beteuse while a sample might have exactly the number predicted, a sample could who have male or larger unbendus to variation from a OD, Yos, because samples will always match the population proportion
Answers
a) On average, 0.5 * 24 = 12 of the digits would be even. b) No, you would not necessarily get exactly the number predicted in part a. This is because there is always variation from sample to sample. While the expected value is 12
a. On average, you would expect 12 of the 24 digits to be even. This is because there are an equal number of even and odd digits (0, 2, 4, 6, 8 are even and 1, 3, 5, 7, 9 are odd), so the probability of a digit being even is 0.5. Therefore, on average, 0.5 * 24 = 12 of the digits would be even.
b. No, you would not necessarily get exactly the number predicted in part a. This is because there is always variation from sample to sample. While the expected value is 12, it is possible to get more or less than 12 even digits in a sample of 24.
This is due to the randomness of the random number table and the fact that samples do not always perfectly match the population proportion.
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Jamal works as an electrician’s apprentice. He rewired 4 electrical outlets in 1 and one-halfhours. If he works at the same pace for 7.5 hours, how many outlets will he rewire?
Answers
Answer:
Below
Step-by-step explanation:
4 outlets/ 1.5 hr * 7.5 hr = 20 outlets ( see how 'hr' cancels out and you are left with 'outlets ?)
Answer: 20
Step-by-step explanation:
In 1.5 hours, the no. of electrical outlets rewired = 4
Then, in 1 hour the no. of electrical outlets rewired = 4/1.5
So, in 7.5 hours the no. of electrical outlets rewired =( 4/1.5 ) × 7.5 = 20.
Find i (the rate per period) and n (the number of periods) for the following annuity.
Annual deposits of $1,800 are made for 6 years into an annuity that pays 5.1% compounded annually.
i=enter your response here
(Type an integer or a decimal.)
Answers
So, the answer to the question is:
i = 0.051
n = 6
The annuity in question is an ordinary annuity, which means that the deposits are made at the end of each period. In this case, the period is one year, so the rate per period (i) is simply the annual interest rate of 5.1%. Therefore, i = 0.051.
The number of periods (n) is the number of years that the deposits are made, which is 6. Therefore, n = 6.
So, the answer to the question is:
i = 0.051
n = 6
It is important to note that the terms "period" and "annuity" are used in the context of this question to refer to the time frame and the type of investment, respectively. The term "pays" is used to describe the interest rate that the annuity pays on the deposits.
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In a neighborhood,
out of every
houses participate in a yard sale. What percent of the neighborhood participate in the yard sale?
Answers
Let's assume, if 10 out of 20 houses in the neighborhood are participating in the yard sale, the percentage of the neighborhood participating in the yard sale would be 50%.
What is percentage?A number or ratio that can be stated as a fraction of 100 is a percentage. If we need to compute a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent implies. The letter "%" stands for it.
To calculate the percentage of the neighborhood participating in the yard sale, divide the number of houses participating by the total number of houses in the neighborhood and multiply by 100. For example, if 10 out of 20 houses in the neighborhood are participating in the yard sale, the percentage of the neighborhood participating in the yard sale would be 50%.
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The owner of a used car dealership is trying to determine if there is a relationship between the price of a used car and the number of miles it has been driven. The owner collects data for 25 cars of the same model with different mileage and determines each car’s price using a used car website. The analysis is given in the computer output.
Which of the following represents the value of the average residual for a car’s price?
0.024
2164.1
3860.7
24157.2
Answers
The value of the average residual for a car’s price include the following: C. 3860.7.
What is a coefficient of determination?In Mathematics, a coefficient of determination (r² or r-squared) can be defined as a number between zero (0) and one (1) that is typically used for measuring the extent (how well) to which a statistical model predicts an outcome.
What is a residual value?In Mathematics, a residual value is a difference between the measured (given or observed) value from a residual plot and the predicted value from a residual plot.
Based on the computer output (see attachment), we can logically deduce that the coefficient of determination (r²) and average residual for a car's price are as follows;
r² = 68% = 68/100 = 0.68.
Average residual for a car's price, S = 3860.7.
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MY LOAN INFORMATION ?
My Annual Borrowing $1,740
Federal Loans
Private Loans
$
$
Totals $
Annual
Borrowing
0
630
Total
Principal
$ 630
$ 0 2.8%
$630
Annual Federal Borrowing Limit
Annual Private Borrowing Limit
My Years of Borrowing
hp
Interest
Rate
6.5%
Loan
Term
10 years $
10 years $
$
$5,500
Limit Varies
1 Years
Payment
Amount
0 per month
5 per month
5 per month
Mar 1
12:27 US
Answers
Answer:
I'm sorry, but it is not clear what you are asking for. Can you please provide more information or a specific question?
NEED HELP DUE FRIDAY!!!!!!!!!!!
Find cos(A), sin(A), and tan(A) for triangle ABC.
Answers
Answer:
It’s a right triangle
Step-by-step explanation:
15 squared plus 8 squared equals 17 squared which 289=289
Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?
Which of the following equations could be used to solve the problem?
A.n + 4 n = 210
B.5 n + 100 n = 210
C.n + 4 n = 2.10
D.5 n + 100 n = 2.10
Answers
The algebraic equation that could be used to solve the problem is C. n + 4n = 2.10.
What is the algebraic equations?An algebraic equation is a mathematical statement that represents the equality of two expressions, using one or more variables, and mathematical operations such as addition, subtraction, multiplication, and division.
To solve this problem, we can use algebraic equations. Let's use the variable "n" to represent the number of nickels that Peggy has.
From the problem statement, we know that Peggy has four times as many quarters as nickels, which means she has 4n quarters.
We also know that she has a total of $2.10 in all. The value of her nickels is 0.05n dollars each, and the value of her quarters is 0.25(4n) = n dollars each. So we can set up the following equation:
0.05n + 0.25(4n) = 2.10
Simplifying this equation, we get:
0.05n + n = 0.525
1.05n = 2.10
n = 2
Therefore, Peggy has 2 nickels and 4(2) = 8 quarters.
Hence, the equation that could be used to solve the problem is C. n + 4n = 2.10.
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Workers in an office of 60 staff were asked their favourite type of take-away.
The results are summarised in the table.
Take-away Frequency Angle
Pizza 3
a
Curry 10
b
Fish & chips 14
c
Kebab 19
d
Other 14
e
Work out the size of each angle to draw a pie chart.
Answers
Answer:
To find the angle for each category, we need to calculate the percentage of the total frequency for each category, and then multiply by 360 (the total number of degrees in a circle).
The total frequency is:
3 + 10 + 14 + 19 + 14 = 60
The percentage of the total frequency for each category is:
Pizza: 3/60 x 100% = 5%
Curry: 10/60 x 100% = 16.67%
Fish & chips: 14/60 x 100% = 23.33%
Kebab: 19/60 x 100% = 31.67%
Other: 14/60 x 100% = 23.33%
To find the angle for each category, we multiply the percentage by 360:
Pizza: 5% x 360 = 18 degrees
Curry: 16.67% x 360 = 60 degrees
Fish & chips: 23.33% x 360 = 84 degrees
Kebab: 31.67% x 360 = 114 degrees
Other: 23.33% x 360 = 84 degrees
So the table with the angles for each category is:
Take-away Frequency Angle
Pizza 3 18°
Curry 10 60°
Fish & chips 14 84°
Kebab 19 114°
Other 14 84°
