9 m, 23 m, and 23 m are the triangle's measurements.
What is meant by triangle's measurement?The total of a triangle's three inner angles is always 1800. Any two sides of a triangle can have a sum of lengths that is always greater than the length of the third side. Half of a triangle's area is equal to the sum of its base and height. Any triangle's three angles add up to a whole 180 degrees.Wisconsin University's Brian McCall A 45° 45° 90° triangle is a particular kind of isosceles right triangle in which the two legs are congruent and the non-right angles are both 45°. The hypotenuse or missing legs of 45 45 90 triangles can frequently be determined using the Pythagorean theorem.To learn more about triangle's measurement, refer to:
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write each of these ratios in its simplest form 102:99:87
Answer:
34:33:29
Step-by-step explanation:
all #s can be divided by 3
34:33:29
)) For a company picnic, Dana ordered a box of fresh-baked gingerbread cookies and sugar
cookies. She got 70 gingerbread cookies and 30 sugar cookies. What percentage of the
cookies were gingerbread?
Dana ordered a box of fresh-baked gingerbread cookies and sugar cookies, the percentage of the cookies were gingerbread are 70%.
She got 70 gingerbread cookies and 30 sugar cookies
So total number of cookies she ordered are 100
Percentage of gingerbread cookies are
= 70 / 100
= 70 %
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
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A sample was taken of 20 salaries of employees in a large company. The following are the annual salaries (in thousands of dollars). For convenience, the data have been ordered. 28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.
(a) What is the median salary of the 20 employees?
(b) A histogram of the 20 salaries is slightly skewed to the right. What do we know about the mean salary of these 20 salaries, based on this information?
(c) What is the first quartile of the 20 salaries? (d) What is the interquartile range of the 20 salaries?
(a)The median salary of the 20 data's is 48 (b)The mean salary of the 20 data's is 47.65 which is less than the median due to which the histogram is slightly skewed towards right
(c)The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)
(d) The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.
How do mean and median differ?The median value of a data set is the value at which 50% of the data points have values lower than it or equal to it and 50% of the points have values higher than it or equal to it. The median is the value that separates the upper from the lower half of a population, a probability distribution, or a sample of data. For a data collection, it may be referred to as "the middle" value.
In mathematics, particularly in statistics, there are a variety of mean types. Each mean aids in the summary of a particular set of data, frequently serving to assess the overall importance of a given data set.
The interquartile range includes the second and third quartiles, or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.
The set of salary (data) :
28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.
Since there are 20 datas (even) the median will be the average of the 2 centre data = (47+49)/2 = 48
The mean of the data set = (28+ 31+ 34+ 35+ 37+ 41+ 42+ 42+ 42+ 47+ 49+ 51+ 52+ 52+ 60+ 61+ 67+ 72+ 75+ 77)/20 = 953/20 = 47.65
The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)
The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.
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Directions: Show your work to solve the word problem and explain how you
determined the solution.
Sadie went to the used bookstore and bought 2 books. One book cost $2.50
and the second book cost $3.00. She only has quarters to pay for her
purchase. How many quarters will she need?
Answer:
22 quarters
Step-by-step explanation:
$3.00 + $2.50 = $5.50
1 quarter = $0.25
$5.50 divided by $0.25 = 22
A cube made of lead has a density of 11,341 kg/m3. If one of the sides were doubled without changing the mass of lead, how would the density of the cube be changed?
It would double.
It would quadruple.
It would be 18 as much.
It would be 12 as much
The density of the cube is 11341 kg/m3 and changed density if one of the sides were doubled is 5670.5 kg/m3.
Cube is a three dimensional object bounded by 6 square faces or sides and it is the only regular hexahedron . Number of edges in the cube are 12, Number of vertices in the cube are 8, Number of faces in the cube are 6.
Let side of the cube be x.
The density is the ratio between mass and the volume.
Density = x^3 = 11341
If one of the side of the cube is doubled, then density will become half of the original density.
original density = x^3 = 11341
If side is doubled, 2x*x*x=11341
Density = x^3 = 11341/2 = 5670.5 kg/m3.
Therefore, the changed density if one of the sides were doubled is 5670.5 kg/m3.
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Answer: B, It would quadruple
Step-by-step explanation: I just did it
Marnie owns a carpet store and sells hallway runners for $9.52/linear foot. How much is this per linear yard?
Answer:
A linear yard is equal to 3 linear feet, so Marnie's hallway runners cost $28.56 per linear yard ($9.52 x 3 = $28.56).
REALLY EASY QUESTION!
The city council voted on a new tax. The council has 85 members and 20% of the council members voted in favor of the new tax. How many members voted in favor of the tax?
20% of the council members voted in favor of the new tax, which is equal to 0.20 * 85 = 17 council members.
what percentage of american adults are victims of identity theft each year? question 18 options: about 7 percent. less than 1 percent. about 19 percent. more than 25 percent. about 13 percent.
More than 25 percent of American adults are victims of identity theft each year.
What percentage of Americans are victims of identity theft?33% of Americans have experienced identity theft in some capacity. In comparison to other countries, the United States has about three times as many identity theft scenarios. According to reports, about 33% of Americans have experienced an attempt at identity theft at some point in their life.Up to 9 million Americans per year, according to the Federal Trade Commission (FTC), have had their identities stolen. You may discover crime prevention strategies and what to do if you become a victim by learning about this subject.According to Javelin Strategy, 15 million Americans are expected to have had their identities stolen in 2021.Learn more about Theft in America refer to :
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(Attachment)
100 POINTS!!
Which line is parallel to the line shown below?
I know D is right but I’m not sure how to get the answer.. it’s been way too long.
Answer:
D. 4x - 3y = 15
Step-by-step explanation:
The slope of a line is defined as the "change in y" over the "change in x".
This is also commonly referred to as "rise over run".
From inspection of the graphed line, we can see that the "rise" between the two points is 4 units up, and the "run" between to the two points is 3 units right. "Up" and "right" are positive directions, therefore the slope of the line is ⁴/₃.
The given answer options are all in standard form.
The standard form of a linear equation is Ax + By = C, where A, B and C are constants and A is positive.
The slope of a linear equation in standard form is -A/B.
If two lines are parallel, they have the same slope.
Therefore:
[tex]\implies \sf \dfrac{4}{3}=-\dfrac{A}{B}[/tex]
Remember that the constant A is positive, so this means that A=4 and B=-3. Therefore, we are looking for an answer option that includes "4x - 3y" on the left side of the equation.
Therefore, the line that is parallel to the graphed line is:
4x - 3y = 15Answer: Your answer will be D. [tex]4x-3y=15[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
On a number line, point F is at 4, and point G is at . Point H lies between point F and point G. If the ratio of FH to HG is 3 : 9, where does point H lie on the number line?
Point H is at
on the number line
Answer:
Point H is at 4.75 on the number line.
Step-by-step explanation:
What does spillage refer to Cyber Awareness Challenge 2022?
The spillage refer to Cyber Awareness Challenge 2022 is explained below.
The Cyber Awareness Challenge 2022 is an important event that focuses on raising awareness about the dangers and risks associated with the use of technology and the internet.
In this context, spillage refers to the accidental or unintentional release of sensitive information. This can be caused by a variety of factors, including human error, technical glitches, and malicious attacks.
In addition, the challenge will explore the consequences of spillage, such as identity theft, financial loss, and reputational damage. This is why it is so important to take the challenge seriously and to understand the importance of cyber awareness and security.
By participating in the Cyber Awareness Challenge 2022, students will gain valuable skills and knowledge that will help them protect themselves and their information in the digital world
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Which of the following lines would be the best fit for the data points plotted in the scatter plot below?
The line of the best fit for the data points plotted in the scatter plot is y = -0.88x + 8
How to determine the line of the best fit for the data points plotted in the scatter plot?From the question, we have the following parameters that can be used in our computation:
The graph
Using the line of the best fit, we have"
(x, y) = (8, 1) and (0, 8)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 8
Using the points, we have
1 = 8m + 8
This gives
m = -0.88
So, we have
y = -0.88x + 8
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4 radical 9 multiplied by 4 radical 9
The multiplication of the given expression gives the value 144.
What are Radicals?Radicals are defined as the nth root of a number using the symbol [tex]^n\sqrt{x}[/tex].
This is the opposite form of the exponential functions.
Given expression is (4 √9) × (4 √9).
We can write this as (4 √9) × (4 √9) = (4 × 4) × (√9 × √9).
Multiplying the radicals together and whole numbers together,
(4 √9) × (4 √9) = 16 × (3 × 3) = 144
Hence the multiplication of the radicals gives the value 144.
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The clock shows the time that Ron left his home in the morning. He came home 7
hours and 35 minutes later, What time did Ron come home?
3:27 PM
12
10
2
2:17 PM
3:17 PM
-8
4
7
5
2:27 PM
When added to 2 PM, this gives us a time of 2:17 PM. Thus, Ron returned home at 2:17 PM.
Ron left his home at 7:00 AM. To determine what time he returned home, we need to add 7 hours and 35 minutes to the time he left. This can be done by adding 7 hours to the hours portion of the time and 35 minutes to the minutes portion of the time. In this case, 7 hours added to 7 AM is 2 PM, and 35 minutes added to 0 minutes is 35 minutes, so Ron returned home at 2:35 PM. To be more precise, we can convert the minutes portion of the time to a fraction of an hour, which would give us 2 hours and 35/60 of an hour or 2 hours and 0.5833 hours. When added to 2 PM, this gives us a time of 2:17 PM. Thus, Ron returned home at 2:17 PM.
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Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top and bottom) with 7200cm
The volume inside the kite is equal to 540 cm³.
What is kite?In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal length sidesGiven is that Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top and bottom) with 7200 centimeters square of lightweight fabric.
We can write the total area covered as -
4 x 30 x h = 7200
120h = 7200
h = 7200/120
{h} = 60 cm .... Eq { 1 }
Volume enclosed inside the kite -
V = {l} x {b} x {h}
V = 30 x 30 x 60
V = 540 cm³ .... Eq { 2 }
Therefore, the volume inside the kite is equal to 540 cm³.
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Avery and Collin were still at it. A. Collin wrote: t(2)=19 t(n+1)=t(n)−2 Help Avery write an explicit equation. Is the sequence arithmetic, geometric, or neither? B. Then Avery wrote t(n)=6n+8. Help Collin write a recursive equation
Avery write an explicit equation is t(n)=19+(n-1)*(-2)=21-2n and a Collin write a recursive equation is t(n+1)=t(n)/6-10/3.
What is explicit equation & recursive equation?
A closed-form expression or a mathematical expression expressed in terms of a limited set of well-known functions are examples of explicit formulas. the mathematical formula expressed analytically, using a limited or infinite number of well-known functions.
A recursive function is one that generates a series of phrases by repeating or using its own prior term as input. The arithmetic-geometric sequence, which has words with a common difference between them, is typically the basis on which we learn about this function.
To write an explicit equation, we can use the given recursive equation and find the value of the first term, t(1).
Substituting n=1 into t(n+1)=t(n)−2
gives t(2)=t(1)−2.
We know that t(2)=19, so t(1)=19+2=21.
Thus, the explicit equation for the sequence is t(n)=19+(n-1)*(-2)=21-2n. This is an arithmetic sequence.
To write a recursive equation, we can use the explicit equation that Avery wrote, t(n)=6n+8.
Rearranging this equation gives n=(t(n)-8)/6.
Substituting this expression into the recursive equation t(n+1)=t(n)−2 gives t(n+1)=(t(n)-8)/6−2.
Expanding t(n) on the right-hand side and simplifying gives t(n+1)=t(n)/6-10/3.
A explicit equation is t(n)=19+(n-1)*(-2)=21-2n and a recursive equation is t(n+1)=t(n)/6-10/3.
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Geometry
A coin is flipped and a die is rolled. Find the probability of landing tails on the coin and a 4 on the die.
(Please answer as in fraction, decimal, and percent form.)
The probability of the coin landing on tail and a 4 on die is 1/12 or 0.08 or 8%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
Probability = sample space / total outcome
when a coin is tossed, the probability of the tail landing = 1/2
when a die is rolled, the probability of getting a 4 = 1/6
therefore the probability of the coin to land on its tail and a 4 is on the die = 1/2×1/6 = 1/12
1/12 = 0.083
to percentage we multiply the decimal by 100 = 8.3 %
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Which of the following statements are TRUE? (Check all that apply) In C, arrays are passed by value In C, when swapping two elements of an array in a procedure, an entire array must be passed to it (i.e. there is no other way to write this procedure), e.g. procedure swapEls in the lecture example. In C, like in Java, all primitive types are by default passed by value In C, unlike in Java, primitive types can be passed by reference using pointer notation In the C examples used so far, arrays are allocaed on the stack In Java, when an array is created, the new operator is used and hte array is allocated on the stack
Arrays in C and Java are similar in that they are used to store collections of elements, but the way they are passed, stored, and manipulated is different.
Arrays are a fundamental data structure in C and Java programming languages. In both languages, arrays are used to store a collection of elements with the same data type.
However, arrays can also be passed by reference using pointer notation.
This means that changes made to the array in the function are reflected in the original array.
When swapping two elements of an array in C, an entire array must be passed to a function, as there is no other way to write this procedure.
The stack is a portion of memory that is used for storing function calls and variables declared inside functions.
When a function is called, the stack grows and when the function returns, the stack shrinks.
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What type of money are included in the M2 category? Check all that apply. Currency
aving account
checking account
commodity money
hort-term invetment account
In addition to M1 (cash and coins held by nonbanks, checkable deposits, and traveler's checks), M2 is a measurement of the amount of money in circulation in the United States.
What is M2 Monetary Aggregate?In its H.6 Statistical Release, the Board of Governors publishes M2 data.It also includes shares of retail money market mutual funds and small time deposits under $100,000.The St. Louis Fed Research Department's library of more than 800,000 U.S. and worldwide economic time series, FRED (Federal Reserve Economic Data), contains additional long-term M2 charts and historical data.M2 is made up of M1 plus (1) small-denomination time deposits (time deposits with sums under $100,000) minus IRA and Keogh balances at depository institutions, and (2) retail money market fund (MMF) holdings less IRA and Keogh balances at MMFs. Small-denomination time deposits and retail MMFs, which are both individually seasonally adjusted, are added to seasonally adjusted M1 to create seasonally adjusted M2, which is then calculated.To Learn more About M2 is a measurement Refer To:
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A candy tore ell chocolate for $5. 27 per pound. The piece you want to buy weigh 0. 48 pound. How much will it cot, to the nearet cent?
[Pl do explain with full explanation]
The candy I want to buy will cost $2.53
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
According to the data problem,
Cost per pound= $5.27/poundWeight = 0.48 poundTotal cost = ?Total cost = $5.27/ pound * 0.48 pound
Total cost = $2.5296
Rounding to the nearest whole number value of a cent.
Hundredth value = 2,
Since the digit after the hundredth value is ≥5 ; we round to 1 and add to the hundredth value to give 3
Total cost = $2.53
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Correctly written question:
A candy store sells chocolates for $5. 27 per pound. The piece you want to buy weigh 0. 48 pound. How much will it cost, to the nearest cent?
4s4 17s2 14s 2 = (2s3 3s2-4s 1)(x)
The required difference of the polynomial functions is -9s^2 + 4s - 2
Given the following difference of polynomial expressed as:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
We are to find the difference
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
Expand
–6s^2 + 12s – 8 - 3s^2 - 8s + 6
Collect the like terms
–6s^2- 3s^2 + 12s - 8s - 8 + 6
-9s^2 + 4s - 2
Hence the required difference of the polynomial functions is -9s^2 + 4s - 2
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complete question
Find each difference.
(–6s2 + 12s – 8) – (3s2 + 8s – 6) =
–9s2 + 4s – 14
–9s2 + 4s – 2
–9s2 + 20s – 14
–9s2 + 20s – 2
Help ill give brainlist
PLEASE
Russel wants to calculate the amount of time it takes for a load of dirt to fall from a crane's clamshell bucket at a height of 16 feet to the bottom of a hole that is 32 feet deep. He sets up the following equation and tries to solve it. Explain the error.
16-16t²= 32
-16t² =16
t²= -1
t= ±i
1) Technically speaking, the equation has no real solution. This is because the square of a real number cannot be negative.
2) To correctly solve for the time taken for the load of dirt to fall, Russel would need to use a different method that takes into account the velocity and acceleration of the object.
What is an Equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
A complicated number, symbolized by ± is the square root of a negative number. This indicates that there is no true number for t that will fulfill the equation, thus the solution to the issue is impossible to find.
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The Poolas family likes to hike along the Purple Mountain Trail. They hiked the same distance each day for 6 days, traveling a total of 25 miles. How many miles did they hike each day? Express your answer as both a fraction greater than 1 and a mixed number
If Poolas family hiked the same distance each day for 6 days, traveling a total of 25 miles, the number of miles they hiked every day is:
4 1/6 miles each day.
We are trying to find the distance that the Poolas hiked each day. We know that they hiked a total of 25 miles in 6 days.
To find the distance they hiked each day, we divide the total distance by the number of days:
25 / 6 = 4 1/6So the Poolas family hiked 4 1/6 miles each day. This answer can be expressed as a mixed number, where the whole number is 4 and the fraction is 1/6.
A mixed number is a number that combines a whole number and a fraction. In this case, the whole number represents the number of whole miles the Poolas hiked, and the fraction represents the extra distance beyond a whole mile that they hiked.
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Hey I need help relatively quickly. I can not figure out what David’s error is. Thank you so much for helping me!
Answer:
21 miles
Step-by-step explanation:
we should also use pythagoras theorem to find out how far they are from each other.
[tex] {c}^{2} = {a}^{2} + {b}^{2} \: \: \: \: \: \: \\ = {20}^{2} + {5}^{2} \\ {c}^{2} = 425 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ c = \sqrt{425} \: \: \: \: \: \: \: \: \\ = 20.61 \: \: \: \: \: [/tex]
what is the ratio related on the picture
The ratio of smiley face to triangle is 5/2. The ratio of smiley face to square is 5/4. The ratio of triangle to smiley face is 2/5. The ratio of triangle to square is 2/4. The ratio of square to smiley face is 4/5.
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio refers to the relationship between a particular group and the entire.
The ratio of smiley face to triangle is 5/2.
The ratio of smiley face to square is 5/4.
The ratio of triangle to smiley face is 2/5.
The ratio of triangle to square is 2/4.
The ratio of square to smiley face is 4/5.
The ratio of square to triangle is 4/2.
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2.) Bob is packing gift bags for a different party. Each gift bag must
include the same amount of each item. He has 96 glow sticks, 80 trading
cards, and 48 stickers.
a.) What is the maximum number of bags Bob can pack with each bag
having the same amount of items? (For example, one bag cannot have 5
glow sticks while another bag has only 4 glow sticks.)
The maximum number of bags Bob can pack with each bag having the same amount of items will be 16.
The largest common factor between two or more numbers is known as the GCF (Greatest Common Factor). We will identify the few factors that are shared by the given numbers once all the factors of the two or more numbers have been eliminated or recorded. The greatest common factor is the one with the highest number of common factors.
Given that Bob is packing gift bags for a different party. Each gift bag must
include the same amount of each item. He has 96 glow sticks, 80 trading
cards, and 48 stickers.
The maximum number of bags Bob can pack with each bag having the same amount of items is calculated as;-
96 = 2 x 2 x 2x 2x2x 3
80 = 2x 2x 2x 2x 5
48= 2x 2x 2x 2x 3
The GCF = 2 x 2x 2x 2 = 16
Hence, the maximum quantity of bags Bob can pack with the same number of items in each bag, making a total of 16.
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Which settings would convert the information below into the table below?
Type of Animal Number of Children's Favorite
Whale-121
T
Tiger → 31
Lion 4
Elephant
Monkey
41
→
4
Giraffe 21
61
89
£011 1
Settings to convert Text to table is Click Insert > Table > Convert Text to Table, then set the desired parameters.
What is settings in computer?
Microsoft Windows has a feature called Windows Settings, formerly known as PC Settings. Users may manage their connected devices, customise their operating system, and change their user settings. Microsoft initially intended for Settings to replace the Windows Control Panel, which has not happened 10 years after it was first released with Windows Server 2012 and Windows 8.
Start by selecting the Show/Hide paragraph mark on the Home tab so you can see how text is separated in your document before converting text to a table or a table to text.
Text to a table conversion in Microsoft Word -
When dividing the text into table columns, use separator characters like commas or tabs.
To indicate where to start a new table row, use paragraph markers.
Click Insert > Table > Convert Text to Table after selecting the text you wish to convert.
Make your selections in the Convert Text to Table box.
Make sure the figures under "Table size" correspond to the amount of columns and rows you desire.
Select the desired appearance for your table under AutoFit behaviour.
Word chooses a width for the table column automatically.
Select the separator character you used in the text under Separate text at.
Select OK.
Therefore, the procedure to convert text to table is explained.
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The following dot plot represents student scores on both the Unit 1 and Unit 2 math tests. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests has more variation than the other or is the variation about the same for both tests? Use complete sentences in your answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your answer and explain your reasoning.
The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.
Part 1: Looking at the data plots, it appears that the students scored better on the Unit 1 test than on the Unit 2 test. The Unit 1 test has more variation than the Unit 2 test, as there are more scores clustered towards either end of the scale, with fewer scores in the middle.
Part 2: The mean of the Unit 1 test is 77 and the mean absolute deviation is 11. This was calculated by adding up all of the scores and dividing by the total number of scores, which was 11. The mean absolute deviation was calculated by subtracting the mean from each score, taking the absolute value, and then taking the average of all of the absolute values.
Part 3: The results from Part B do support the hypothesis from Part A, as the mean score for the Unit 1 test is higher than the mean score for the Unit 2 test, as well as the mean absolute deviation for the Unit 1 test is higher than the mean absolute deviation for the Unit 2 test. This indicates that the Unit 1 test has more variation than the Unit 2 test, suggesting that the students scored better on the Unit 1 test.
The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.
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Brian's retirement party will cost $20 if he invites 4 guests. If there are 19 guests, how much will Brian's retirement party cost? Solve using unit rates.
The party cost for 19 guests is 95 dollars.
How to find the party cost?We assume there is a proportional relation between the number of guests and the cost.
y is the cost and x the number of guests, then we can write:
y = k*x
k is the unit rate.
We know that it costs $20 to invite 4 people, then:
20 = k*4
20/4 = k
5 = k
Then the relation is:
y = 5*x
So, if x = 19 we will have:
y = 5*19 = 95
The cost for 19 guests is $95.
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