Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.
What do you mean by proportion?A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.
What do you mean by ratio?A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.
Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.
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which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
A. The function shown on the graph has a smaller rate of change, but
a higher starting point.
O B. The function shown on the graph has a greater rate of change, but
a lower starting point.
C. The function shown on the graph has a greater rate of change and
a higher starting point.
D. The function shown on the graph has.a omaller rate of change and
a lower starting point.
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
What is rate of change in linear graph?Rate of change = slope of a linear graph.
Given the linear function, [tex]y=4x+2[/tex] , the rate of change here is represented by the slope of the line, which is 4.
Let's find the rate change of the function represented on the graph using slope formula:
Rate of change = [tex]\frac{y2-y1}{x2-x1}[/tex]
Use coordinates of any two points on the line. Let's take,
[tex](0,4)= (x1,y1)\\(1,7)=(x2,y2)[/tex]
Rate of change = [tex]\frac{7-4}{1-0} = 3[/tex]
Rate of change of the linear function of the graph = 3.
Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.
The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.
The starting value of the linear function, y = 4x + 2 is 2.
The starting value of the function on the graph is 4. At this point, x = 0.
Thus, the function on the graph has a higher starting point.
The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
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shown below PLEASE ANSWER FAST I ONLY HAVE 4 MORE MINUTES!
Answer:
15 lessons
Step-by-step explanation:
Help aspp please thank you show ur work if you like
Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.
What is speed?Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.
Speed = Distance/Time
55 = Distance/9
Distance = 495 miles
When speed is 70 mph:
70 = 495/Time
Time = 495/70
Time = 7 hours and 12 minutes
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Complete the equation describing how x and y are related -2
The equation of the line found is:
y = 3x + 1.
Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.
Linear equation:
A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The standard form of linear equations in two variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.
The equation of a line is given by:
y = mx + b
In which:
m is the slope, that is, by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0.
From the table, when x =0 and y =1 , thus b = 1.
When x = and y = 1 . When x =1 and y = 4 , when x = 2 and y =7 , and so on. That is, when x changes by 1, y changes by 3, and the slope is m = 3.
The equation of the line is:
y = 3x + 1.
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A Find the value of the expression.
6/11 x 5/8
Please reduce your answer!
Answer:
You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88. 30/88 reduced is 15/44
Hope this helped
[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]
When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.
[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]
[tex]\dfrac{6\times5}{11\times8}[/tex]
[tex]=\dfrac{30}{88}[/tex]
Reduce to simplest form:
[tex]\dfrac{30\div2}{88\div2}[/tex]
[tex]=\fbox{$\dfrac{15}{44} $}[/tex]
There were 5 7/10 liters of water in a bucket than she spilled some so she added another 1 5/10 after that she has 6 4/10 how much did she spill
8/10 liters of water she spilled. This can be solved using the concept of fraction.
What is fraction?A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.
Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.
Given that,
There were 57/10 liters of water in a bucket than she spilled some so she added another 15/10, now she get:
(57/10) + (15/10) = 72/10
After that, there was 64/10 liters of water in the bucket, now she spilled:
(72/10) - (64/10) = 8/10
So, 8/10 liters of water she spilled.
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charlotte is 7 miles south of concord and matthews is 13 miles west of charlotte. what is the distance from concord to matthews? give answer in simplest form
The distance from concord to Matthews is solved to be 14.8 miles
How to find the distanceInformation from the question include
charlotte is 7 miles south of concord
Matthews is 13 miles west of charlotte
the distance from concord to matthews = ?
The required distance is solved using using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 13² + 7²
x² = 169 + 49
x² = 218
x = √218
x = 14.7648
x = 14.8 (to 3 SF)
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2 An experimental airplane is flying at an altitude of 8,000 feet when it begins descending to land. If the plane descends at a constant rate of 125 feet per minute, how long will it take to land the plane? A. Estimate the quotient. Explain how you found your estimate. B. How do you decide where to place the first number in the quotient? C. How long will it take the plane to land? How can you use your estimate to check if your answer is reasonable? 125 8000 500 0
Step-by-step explanation:
Reuben bought 6 boxes of chocolates. Each box cost $7.36. How much did he spend?
Answer:
$44.16 he spent on chocolate
if AB||EF and EF||CD, then find the value of x.
Answer:
x = 40°
Step-by-step explanation:
∠ FEC and ∠ ECD are same- side interior angles and sum to 180° , that is
150° + y = 180° ( subtract 150° from both sides )
y = 30°
∠ BCD and ∠ ABCare alternate angles and are congruent , so
x + y = 70° , that is
x + 30° = 70° ( subtract 30° from both sides )
x = 40°
30PTS 30PTS don’t explain just answer.
Answer:
y = 90°
Step-by-step explanation:
Question 10: Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals measured in hundreds. What does the solution to the function (2, 12) represent?
Cost (in thousands)
20
15
(2. 12)
10
5
Number of Animals (in hundreds)
• There are 200 animals, and the cost is $12,000 daily.
• There are 2,000 animals, and the cost is $1,200 daily.
• There are 1,200 animals, and the cost is $2,000 daily.
• There are 12,000 animals, and the cost is $200 daily.
Answer: I believe is the first one
Step-by-step explanation: It says animal in hundreds right. so looking at it 200 animals is right. But also x = 2 and y = 12
Hope this helps I'm sorry if it does not help
The least common multiple of $1! 2!$, $2! 3!$, $3! 4!$, $4! 5!$, $5! 6!$, $6! 7!$, $7! 8!$, and $8! 9!$ can be expressed in the form $a\cdot b!$, where $a$ and $b$ are integers and $b$ is as large as possible. What is $a b$
By solving the given factorial question we get a+b=2538.
How does factorial work?In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a specific positive integer, which is followed by an exclamation point. Thus, factorial seven is denoted by the symbol 7!, which stands for 1 2 3 4 5 6 7. Factorial 0 is equal to 1 by definition.
Solution:-
We can factor each of these numbers.1! + 2! = 1! ( 1 + 2 )
2! + 3! = 2! ( 1+ 3 )
3! + 4! = 3! ( 1 + 4 )
4! + 5! = 4! ( 1 + 5 )
5! + 6! = 5! ( 1 + 6 )
6! + 7! = 6! ( 1 + 7 )
7! + 8! = 7! ( 1 + 8 )
8! + 9! = 8! ( 1 + 9 )
Once again:
1! + 2! = 1! ( 3 )
2! + 3! = 2! ( 4 )
3! + 4! = 3! ( 5 )
4! + 5! = 4! ( 6 )
5! + 6! = 5! ( 7 )
6! + 7! = 6! ( 8 )
7! + 8! = 7! ( 9 )
8! + 9! = 8! ( 10 )
We can split the number into two parts, a! * bThe LCM of 1!, 2!, 3!, ... , 8! is 8!
The LCM of 3, 4, 5, ... , 10 is 2520
The LCM is 2520 * 8!
a = 2520
b = 8
a + b = 2528
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SU is a midsegment of QRT
If QR=-5v+96 and SU = 19v-38 than what is the value of X
Answer:
v = 4
Step-by-step explanation:
⭐What is the midsegment of a triangle?
a segment that runs from the midpoints of two opposite sides⭐What are some properties of the midsegment?
the midsegment is 1/2 of the length of the baseThus, we have to make an equation using the properties of the midsegment to solve for v.
Working:
[tex]SU = \frac{1}{2}(QR)[/tex]
[tex]19v - 38 = \frac{1}{2}(-5v + 96)[/tex]
[tex]38v - 76 = -5v + 96[/tex] . . . . . multiply both sides by 2 to get rid of the fraction
[tex]43v = 172[/tex] . . . . . add 5v and 76 to both sides
∴ [tex]v = 4[/tex] . . . . . . . . . divide both sides by 43 to isolate v
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360 multiplied by 420
the answer is 151200
Answer the following as the website for my hwk says I am incorrect:
a) 6/24 as its simplest form (I put 1/4)
b) 52.491 to 2 decimal places (I put 52.49)
c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)
d) 756.985 × 45 - 14.325 ( I put 34,050)
Solve the equation t − 3 = 17 for t.
−20
20
−14
14
I already searched the question and none of the answers I saw were an option.
The equation can be solved by adding 3 to both sides of the equation.
Solve the equation t − 3 = 17 for t?To solve the equation t − 3 = 17, we need to add 3 to both sides of the equation. Doing so, we get t = 17 + 3 = 20. Therefore, the value of t is 20.In this case, the variable is t. The equation t - 3 = 17 has 3 subtracted from t on the left side, so to isolate t, we must add 3 to both sides to make the equation equal. Once we do this, we are left with t = 20.The equation t − 3 = 17 is an equation with a single variable, t.The equation t - 3 = 17 is a simple algebraic equation that can be solved by performing the inverse operation of subtraction. To solve this equation, we must first add 3 to both sides of the equation.Therefore, the solution to the equation t - 3 = 17 is t = 20.The equation can be solved by adding 3 to both sides of the equation. When 3 is added to the left side of the equation, it cancels out the -3, leaving just t. When 3 is added to the right side of the equation, it increases the value of the right side from 17 to 20. Therefore, the equation t − 3 = 17 can be solved by adding 3 to both sides, which results in the equation t = 20.This means that the value of t is 20.To learn more about the value of the unknown variable refer to:
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Why are Trig ratios only for right triangles?
For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
What are Trigonometric functions?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here,
We have to find out why trigonometric ratios are used only for right triangles.
We concluded that when we are dealing with triangles other than right triangles, the solution is to draw a perpendicular line to create right triangles. For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
Hence, for Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
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Question 3 A student solved a quadratic equation as shown here
Answer:
Didn't move the 12 on the other side of the equal sign to make
2x^2 + 5x - 12 = 0
the other steps error city.
Step-by-step explanation:
2x^2 + 5x - 12 = 0
(2x - 3)(x + 4)= 0
2x - 3 = 0
2x = 3
x = 3/2
x + 4 = 0
x = -4
another one 2 more after this
Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.
The admission fee for the zoo and for the state park is given as follows:
Zoo: $13.State park: $6.5.How to model the situation?For the zoo, the costs are divided as follows:
Admission: 2x per student.Train ride: $3.25 per student.20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:
20(2x + 3.25) = 40x + 65.
For the state park, the costs are divided as follows:
Admission: x per student.Train ride: $6.50 per student.25 students are going to the state park, hence the total cost spent at the state park is given as follows:
25(x + 6.50) = 25x + 162.50.
The costs spent at both parks are the same, hence the value of x can be obtained as follows:
40x + 65 = 25x + 162.5
15x = 97.5
x = 97.5/15
x = 6.5.
Hence the admission fees are given as follows:
Zoo: $13, as 2x = 13.State park: $6.5, as x = 6.5.Missing InformationThe table is given by the image presented at the end of the answer.
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the ratio of a model car to a regular car is 1 :16 the model is 6.25 inches long what is the length of the actual car in feet and inches?
PLEASE HELP AND SHOW WORK!!!
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1995, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 887.
The linear regression equation that represents the given set of data is y=0.2x+865.
What is linear regression?Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.
The line of best fit is in the form y=bx+a
The slope is b= [tex]\frac{\sum (x-\bar x)\sum (y-\bar y)}{\sum (x-\bar x)^2}[/tex]
Here, [tex]\bar x[/tex] =(0+1+2+3+4)/5
= 1.8
[tex]\bar y[/tex] = (856+871+924+961+961)/5
= 914.6
∑(x-[tex]\bar x[/tex])=(0-2.5)+(1-2.5)+(2-2.5)+(3-2.5)+(4-2.5)
= -2.5-1.5-0.5+0.5+1.5
= -2.5
∑(y- [tex]\bar y[/tex]) =(865-914.6)+(871-914.6)+(924-914.6)+(961-914.6)+(961-914.6)
= -49.6-43.6+9.4+46.4+46.4
= 9
So, slope b= 1.8×9/9²
b=0.2
Substitute b=0.2 and (0, 865) in y=bx+a, we get
865=0.2×0+a
a=865
Substitute b=0.2 and a=865 in y=bx+a, we get
y=0.2x+865
Therefore, the linear regression equation that represents the given set of data is y=0.2x+865.
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"Your question is incomplete, probably the complete question/missing part is:"
The number of newly reported crime cases in a county in New York State is shown in the accompanying table; where X represents the number of years since 1995, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number: Years since 1995 (x) New Cases (y) 856 871 924 961 961
cant find the anwer help
Answer:
Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?
Answer in explanation:
I went over it and your answer seems correct, but the problem says 'how much money, in dollars'
There are 12 months in a year
3 x 4 = 12
17,211 x 4 = 68,844
you wrote 67.844 so possibly changing to a comma would help!
I hope this helps!
Solve x=[tex]\sqrt{x} b^2-4ac\frac{x}{y} 2a[/tex]
The solutions to the quadratic function y = x² + 4x + 3, using the quadratic formula, are given as follows:
x = -1 and x = -3.
How to solve a quadratic function?The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
In which the leading coefficient a must assume a value different of zero.
The solutions to the quadratic function ax² + bx + c = 0 are obtained using the quadratic formula, as follows:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic function for this problem is defined as follows:
x² + 4x + 3 = 0.
Hence the coefficients are:
a = 1, b = 4, c = 3.
The first solution is:
[tex]x = \frac{-4 - \sqrt{4^2 - 4(1)(3)}}{2} = -3[/tex]
The second solution is:
[tex]x = \frac{-4 + \sqrt{4^2 - 4(1)(3)}}{2} = -1[/tex]
Missing InformationThis problem was incomplete, hence the quadratic formula is used to solve y = x² + 4x + 3, as an example.
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If jimmy buys 5 apples and gets eaten alive by ___ How many apples does he have left?
The number of apples that he has left will be 2 apples.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
If jimmy buys 5 apples and gets 3 apples eaten alive by him.
Then the number of apples that he has left will be given by subtracting 3 from 5. Then the expression is given as,
⇒ 5 - 3
⇒ 2
The number of apples that he has left will be 2 apples.
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The complete question is given below.
If jimmy buys 5 apples and gets 3 apples eaten alive by him. How many apples does he have left?
Choose the best description of the data used to generate this histogram (note that the horizontal axis has no scale, so you will make your choice based solely upon the histogram's shape): OSAT Math scores of 1,000 future engineers and scientists. O Results of rolling a six-sided die 1,000 times. Cholesterol levels of 1,000 adults. O Shoe sizes of 1,000 men and women. O Prices of 1,000 California homes. * That is not quite right. The bulk of the SAT Math scores of engineers and scientists would be high scores, since people interested in those fields are usually good at math. So that distribution would be skewed left. Please try again.
On solving the provided question we can say that so the value of the data from histogram graphs will be x [tex]\alpha[/tex] 0.123 * 125 / 100 = 0.15375
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. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
the best way to describe the data that was used to create this histogram (keep in mind that there is no scale on the horizontal axis, so you must choose based simply on the appearance of the histogram graphs
so the value of the data from histogram graphs will be
z = 0.123
u = 100
x = 125
x [tex]\alpha[/tex] 0.123 * 125 / 100 = 0.15375
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David went shopping for a new phone because of a sale. The price on the tag was $46, but David paid $39. 10 before tax. Find the percent discount
The percent discount on the new phone is 15%.
Discount refers to a reduction in the original price of a product or service. It is a way for businesses to incentivize customers to purchase their products by offering a lower price than the original price.
To find the percent discount, we need to divide the amount of the discount by the original price, and then multiply by 100 to express the answer as a percentage.
Discount = Original Price - Sale Price
Discount = $46 - $39.10
Discount = $6.90
Percent Discount = (Discount / Original Price) x 100
Percent Discount = ($6.90 / $46) x 100
Percent Discount = 15%
Therefore, the percent discount is 15%.
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Write a proportion to find how many points x a student needs to score a on a test worth 50 points
to get a test score of 40%.
Please Help
A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.
what is proportion ?The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value. When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.
given
test score to 50 points
test score of 40 %
= 50/100 * 40
= 20
A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.
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Determine which branch of statistics was used to make the following statement. In an online survey of 500 Virginia Tech students between spring 2010 and spring 2011, 3190 said that they had missed class because of alcohol consumption. A) differential statistics C) inferential statistics B) time series statistics D) descriptive statistics
The branch of statistics used to make the given statement is Option(D) Descriptive Statistics.
Which are the different branches of statistics?
The area of mathematics that deals with data is statistics. Data collection, descriptive statistics, and inferential statistics are the three main subfields of statistics.
The process of gathering data is what data collection is all about.The area of statistics known as descriptive statistics deals with how we present the data we have. Basically, this can be done in one of two ways: either visually (using graphs, charts, etc.) or quantitatively (via averages and so on).The part of statistics that deals with drawing inferences from the data is called inferential statistics.For the given question, we are presented with data quantitatively. The data shows out of 500 students, 31% missed class due to alcohol consumption.
Therefore the branch of statistics that was used to make the above statement is descriptive statistics.
Hence Option(d) is correct.
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