Please answer. I've been stuck on this question for a while.
Question: A business purchased a new printer. The number of the pages, y, printed by the new printer in x minutes is represented by the equation y=37x. The number of the pages printed by the OLD printer is represented in the graph below.
Which statements about the printers are true?
Select the TWO correct statements.
Answers
Answer:
The new printer prints 100 pages about 4 minutes faster than the old printer
The new printer prints 22 move pages per minute than the old printer
Step-by-step explanation:
New printer's equation
y = 37x
Old printer's equation
y = 15x
Since the graph is proportional you can take any ordered pair (except (0,0) and put it the form y/x to find the slope. For example, The point (2,30) 30/2 = 15 or the point (4, 60) 60/4 = 15 and so on.
The difference between the rates is 22 pages a minute (37 - 15).
Substituted in 100 for y and solve for x (minutes)
New:
y = 37x
100 = 37x Divide both sides by 37
100/37 =37x/37
3 = x This is rounded
This means that it takes about 3 minutes to print 100 pages.
Old:
y = 15x
100 = 15x Divide both sides by 15
100/15 = 15x/15
7 = x This is rounded
This means that it takes about 7 minutes to print 100 pages.
The new printer can print the same amount of page (100) in 4 less minutes (7-3)
Related Questions
Determine the approximate ordered pair for f(x) =g(x).
=
○ (26,4)
O (18,4)
O (4.26)
○ (4,18)
-50
40
-30
-20
8
10
10
f(x)
g(x)
20
농
50
Answers
The approximate solution of the system of equations is given as follows:
(4, 26).
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
For the point of intersection in this problem, we obtain the coordinates as follows:
x-coordinate of approximately 4, as it is less than the half way between 0 and 10.y-coordinate of 26, as it is a value between 20 and 30.This means that the correct option is given by the third option.
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Which statements are true? Check all that apply.
On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis.
Answer is A, D, F, G
Answers
Answer: On a coordinate plane, the quadrants are defined as follows:
Quadrant I: x-coordinate is positive, y-coordinate is positive
Quadrant II: x-coordinate is negative, y-coordinate is positive
Quadrant III: x-coordinate is negative, y-coordinate is negative
Quadrant IV: x-coordinate is positive, y-coordinate is negative
Based on this information, the following statements are true:
A is in Quadrant I, because its coordinates are (2, 3) and both x and y are positive.
D is in Quadrant III, because its coordinates are (negative 3, negative 3) and both x and y are negative.
F is on the x-axis, because its y-coordinate is 0.
G is on the y-axis, because its x-coordinate is 0.
The other statements are not true:
B is not on the x-axis, because its y-coordinate is not 0.
C is not in Quadrant I, because its x-coordinate is negative.
E is not on the x-axis, because its y-coordinate is not 0.
Step-by-step explanation:
you started a project on 9/29/2019. the project ended on 08/01/2022. how many working days did you have for the entire project?
Answers
You started a project on 9/29/2019. The project ended on 08/01/2022. So 1037 working days you have for the entire project.
Project Start Date - 09/29/2019
Project End Date - 08/01/2022
Ignore the end date
No. of days spent for project in 2019 = 94
September - 2, October - 31, November - 30 & December - 31
No. of days spent for project in 2020 = 366
No. of days spent for project in 2021 = 365
No. of days spent for project in 2022 = 212
January - 31, February - 28, March - 31, April - 30, May - 31, June - 30 & July - 31
Total number of days spent for the project are 1037 days.
2019 - 94
2020 - 366
2021 - 365
2022 - 212
The Project took 1037 working days for its completion from 09/29/2019 to 08/01/2022.
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The table represents a linear relationship. x −1 0 1 2 y 2 0 −2 −4 Which of the following graphs shows this relationship? Group of answer choices graph of a line passing through the points negative 2 comma negative 4 and 0 comma 0 graph of a line passing through the points negative 2 comma negative 1 and 0 comma 0 graph of a line passing through the points negative 2 comma 4 and 0 comma 0 graph of a line passing through the points negative 2 comma 1 and 0 comma 0
Answers
The graph of the linear function y = -2x is given by the image presented at the end of the answer.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.From the table, when x increases by 1, y decays by 2, hence the slope m is given as follows:
m = -2.
When x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence the function is:
y = -2x.
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PLEASE HURRY LIMITED TIME TEST QUESTION!!!!
Question Write the standard form equation of a circle given the center of (-7, -15) and an area of A = π. Show all work for your calculations using the equation editor.
Answers
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
What is the equation of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The area of the circle is 9π. Then the radius of the circle is given as,
A = π
πr² = π
r² = 1
The center of the circle is at (-7, -15). Then the equation of the circle is given as,
(x + 7)² + (y + 15)² = 1
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
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The mass of a 45. 750 g piece of copper is measured four times on two different balances with the following results: Trial Balance 1 (g) Balance 2 (g) 1 45. 747 45. 76 2 45. 748 45. 74 3 45. 744 45. 73 4 45. 745 45. 77 a) Calculate the mean, deviation, % relative deviation, absolute error, and % relative error. Show all Work. B) Which balance is more precise
Answers
The mean of the copper measured is 45.747. when the mass of copper is 45.750.
Average Absolute Deviation:
The average deviation is a statistic that measures the absolute difference of each measurement from the mean value and then gets its average.
It also includes both the mean absolute deviation and the median absolute deviation and also defines the data set as the average of the absolute deviations from a central point.
This is given by the formula:
Average Deviation=∑ni=1|x−¯x|
where:
x is the observed value
¯x is the mean value
n is the number of observations
Computing for the mean of balance 1:
¯x=45.747+45.745+45.748/3
¯x=45.747
Computing for the mean of balance 2:
¯x=45.76+45.77+45.74/3
¯x=45.79
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A new club sent out 252 coupons to boost sales for next years memberships. They provided 5 times as many potential members than existing members. How many coupons did they sent to existing members?
Answers
Answer:
42
Step-by-step explanation:
Let's call the number of coupons sent to existing members as "x".
We know that:
They provided 5 times as many potential members than existing members, meaning that they sent 5*x coupons to potential members.
The total number of coupons sent is 252
So we can write an equation:
x + 5x = 252
6x = 252
x = 252/6
x = 42
Therefore, they sent 42 coupons to existing members.
Answer: 42
Step-by-step explanation:
5x + x = 252
6x = 252
x = 42
existing members = 1x
1 x 42
= 42
PLEASE HELP 20 PTS!!!
True or false
The following graph represents a maximum:
f(x)=3x^2+2
Answers
Answer: I think true
Step-by-step explanation: guess
children aged 12years,9 years and 4 years shareR500 in the same ratio as their ages
Answers
If children aged 12years,9 years and 4 years shareR500 in the same ratio as their ages. They each got R240, R180,R80.
How to find the amount they each got?Total number of years = 12 years + 9 years + 4 years
Total number of years = 25 years
Now let find the amount they each got
12 years
Shares = 12/25×500
Shares = R240
9 years
Shares = 9/25×500
Shares = 180
4 years
Shares =4/25×500
Shares = 80
Therefore they each got R240, R180,R80.
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The complete question is:
Children aged 12 years,9 years and 4 years share R500 in the same ratio as their ages .How much do they each get?
Help me write an Original oratory speech
Answers
Answer: I will help you, but not write because it depends on the topic
Introduction: Begin by grabbing your audience's attention with an interesting fact, story, or statistic. Then, introduce the main topic of your speech and provide some background information on it.
Body: Divide the body of your speech into several main points, each of which will address a different aspect of the topic. Use evidence, examples, and anecdotes to support your points and make them more persuasive.
Counterargument: Address any potential objections or counterarguments to your main points. This will demonstrate that you have considered multiple perspectives and will make your argument more convincing.
Conclusion: Sum up your main points and reiterate the importance of the topic. End with a strong call to action or a memorable quote.
Practice: Practice delivering your speech in front of a mirror or with friends/family to become more comfortable with the material and delivery.
Here's an example of an introduction for an Original Oratory speech on the topic of the benefits of solar energy:
"Imagine a world where our energy needs are met by a clean, renewable source that never runs out. That world is not just a dream – it's a reality that we can create by embracing solar energy. Today, I want to talk to you about the many benefits of solar energy and why it's time for us to take a closer look at this powerful technology. From reducing our dependence on fossil fuels to creating jobs and driving economic growth, solar energy has the power to change our world for the better. So, let's explore the reasons why solar energy is the energy of the future."
Two pools are being filled with water. To start, the first pool contains 1600 liters of water and the second pool contains 1186 liters of water. Water is being added to the first pool at a rate of 20.25 liters per minute. Water is being added to the second pool at a rate of 31.75 liters per minute. After how many minutes will the two pools have the same amount of water? How much water will be in each pool when they have the same amount?
Answers
At 36 minutes, the amount of water in both pools will be same. In amount, it will be 2329 liters.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that two pools are being filled with water. To start, the first pool contains 1600 liters of water and the second pool contains 1186 liters of water. Water is being added to the first pool at a rate of 20.25 liters per minute. Water is being added to the second pool at a rate of 31.75 liters per minute.
We can write the equation for the first pool as -
y{A} = 1600 + 20.25x
Similarly, for the second pool is -
y{B} = 1186 + 31.75x
For the same amount of water -
y{A} = y{B}
1600 + 20.25x = 1186 + 31.75x
1600 - 1186 = 31.75x - 20.25x
x = 36
Amount of water in each pool will be -
y = 1600 + 20.25 x 36
y = 2329 liters
Therefore, at 36 minutes, the amount of water in both pools will be same. In amount, it will be 2329 liters.
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Jackson is working two summer jobs, making $10 per hour washing cars and $12 per hour landscaping. Last week Jackson worked a total of 14 hours and earned a total of $152. Determine the number of hours Jackson worked washing cars last week and the number of hours he worked landscaping last week
Answers
The number of hours Jackson worked washing cars last week is 8 hours
The number of hours Jackson worked landscaping cars last week is 6 hours
How to write the required equationThe problem is a simultaneous equation of two unknowns with two equations.
The equations are formed as follows
Jackson worked a total of 14 hours
let the washing cars be x and landscaping be yx + y = 14
Jackson earned a total of $152
$10 per hour washing cars and $12 per hour landscaping
10x + 12y = 152
The simultaneous equation
x + y = 14
10x + 12y = 152
using calculator to solve the equation we have that
x = 8 and y = 6
hence hours of washing cars is 8 hours while hour s of landscaping is 6 hours
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Meredith orders three items from an online retailer. the first item will arrive with equal likelihood in one of the first through third days of feburuary. the second will arrive with equal likelihood in one of the second through fourth days of february, and the third will arrive with equal likelihood in one of the third through fifth days of february. if at most one item can be delivered in a given day, what is the probability that the first time is not the first to be delivered?
how do i go about this?
Answers
The probability that the first item is not the first to be delivered will be 1/3.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The likelihood that the main thing shows up on the principal day of February is 1/3.The likelihood that the subsequent thing shows up on the principal day of February is 1/3,The likelihood that the third thing shows up on the principal day of February is 0.The probability that one of the other two items arrives first will be given as,
p = 1/3 + 1/3
p = 2/3
The probability that the first item is not the first to be delivered will be given as,
q = 1 - p
q = 1 - 2/3
q = 1/3
The probability that the first item is not the first to be delivered will be 1/3.
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How many solutions can be found for the system of linear equations represented on the graph?
Responses
A one solutionone solution
B no solutionno solution
C infinitely many solutionsinfinitely many solutions
D two solutions
Answers
The graph has (c) infinitely many solutions
How to determine the number of solutionsFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have two equations represented by
y = x + 2
-3x + 3y = 6
On the graph, we can see that the equations have the same line
This means that there are lots of solutions in the system i.e. infinite many solutions
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Can someone help me with this please? I need help ASAP
A: Classify the triangle above by its sides
B: Classify the triangle above by its angles
C: Explain your answer to part a and b
Answers
Evaluate each expression using the Order of Operations. -4(-1)+4
Answers
Answer: 8
Step-by-step explanation:
First you multiply -4(-1) a negative times a negative is a positive so that is positive 4 then you simply add 4 which equals 8
The table shows the relationship between r and s, where s is the independent variable 1 2 3 3 4 5 6 1 6 هما الا 1 2 2 3 5 6 1 Which equation represents the relationship between r and s? F. Os = GOr=8- 6 HOs=r- 1. Or = 1/2
Answers
The relationship between r and s represents by the equation r = 1/6 s. So the option D is correct.
We have to determine which equation represents the relationship between r and s.
When we analysis the table we see that
r(1) = 1 × 1/6 = 1/6
r(2) = 2 × 1/6 = 1/3
r(3) = 3 × 1/6 = 1/2
r(4) = 4 × 1/6 = 2/3
r(5) = 5 × 1/6 = 5/6
r(6) = 6 × 1/6 = 1
So we can say that
r = s × 1/6
So, r = 1/6 s
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The complete question is:
The table shows the relationship between r and s, where s is the independent variable.
s 1 2 3 4 5 6
r 1/6 1/3 1/2 2/3 5/6 1
Which equation represents the relationship between r and s?
A. 1/6 r
B. s - 5/6
C. r - 5/6
D. r = 1/6 s
researching hairstyle ideas for herself, when Rohan, her
older brother, appeared at her door.
"Veena, can you trim my hair? The basketball team is
taking pictures tomorrow."
Veena rolled her eyes playfully. "If I have to!" she
replied, already reaching for the scissors and trimmer she
kept in her dresser.
"Like you'd give up the opportunity!" he teased back,
disappearing into the living room.
All anyone had to do was mention needing a cut or
style and Veena would materialize. Family, friends, and
everyone on their Staten Island block knew Veena wanted
to run her own hair empire one day. She had gotten her
start in elementary school by working on her dolls and
graduated to actual people in middle school when her
brother agreed to a haircut on a dare. Before long, Veena
had transformed everyone's hair around her except one
person's her own. Veena's mother loved her long black,
wavy hair and had requested that she keep it that way.
Complete the sentences to
summarize the events in this part of
the story.
Everyone knows that Veena has a
of running a large hair
ss someday. She got her
hair
dream
promise
fear
s a child. Now, the only
person's hair she hasn't cut is her own
because
prefers it
S
her
long.
Answers
Veena has a dream of running her own hair empire one day. She started cutting hair as a child and has since transformed everyone's hair. Her mother loves her long, black, wavy hair and has requested that she keep it that way. Veena is already well on her way to making her dream come true.
What is a summary?A summary is a shortened version of the key ideas in an article, book, speech, or other type of literature. It is a concise repetition of the key ideas, conclusions, and/or facts contained in the original text. Summaries are frequently used to provide a fast summary of the essential points in a larger book, making it simpler to absorb the main concepts in less time.
Summarize the events of the story.Veena has a dream of running her own hair empire one day. She first started cutting hair as a child, working on her dolls. In middle school, her brother agreed to a haircut on a dare and before long she was transforming everyone's hair around her. The only person's hair she hasn't cut is her own, because her mother loves her long, black, wavy hair and has requested that she keep it that way. Everyone knows that Veena wants to have her own hair salon someday and she is already well on her way to making that dream come true.
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please help this is for geometry
how would i solve for x here
Answers
Using the leg rule, the value of x in the right triangle is: 42.
What is the Leg Rule?The leg rule gives the relationship between the lengths of the segments formed on the hypotenuse of a right triangle by its altitude.
The leg rule is given as:
Hypotenuse/leg = leg/part.
In the image given, we have:
Hypotenuse = x + 8
Leg = 20
Part = 8
Plug in the values:
x + 8 / 20 = 20 / 8
8(x + 8) = (20)(20)
8x + 64 = 400
8x = 400 - 64
8x = 336
x = 336/8
x = 42
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6 Total || Part Total 100 John has walked 15% of the way home from school. If he has walked 200 meters so far, how far does he walk home from school? Percent 100
Answers
John will walk 1,333.33 meters home from school.
What is percentage?Percentage is a mathematical concept used to express a number as a fraction of 100. It is generally used to compare one number to another, in terms of its relative size. For example, if 30 out of 100 people have voted for a certain candidate, then the percentage of those who voted for that candidate is 30%.
Percentage can also be used to express a change in a value over time.
For instance, if the price of a product has increased from $10 to $15, then the percentage increase in the price is 50%.
Percentage can also be used to compare different groups of data. For instance, if an organization has ten male employees and five female employees, then the percentage of male employees is 66.67%.
Percentage is an important concept in the field of mathematics and is used to calculate the percentage of a whole or part of a whole.
To find the total distance John will walk home from school, you need to multiply 200 meters, which is the distance he has already walked, by 100%, which is the total amount of the journey home from school, and then divide that answer by 15%, which is the percentage of the journey he has already walked.
200 x 100/15 = 1,333.33
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An equation is shown below:
3 (2 x - 7) = 3
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work
Answers
The solution of the equation 3(2x - 7) = 3 is x = 4. The equation has only one solution.
What is an equation?An equation is a mathematical expression that shows that two mathematical expressions are equal. Equation shows the relationships between variables, numbers and constant.
Therefore, let's solve the equation 3(2x - 7) = 3 as follows
3(2x - 7) = 3
Open the parenthesis
3(2x - 7) = 3
6x - 21 = 3
add 21 to both sides of the equation
6x - 21 = 3
6x - 21 + 21 = 3 + 21
6x = 24
divide both sides of the equation by 6
6x / 6 = 24 / 6
x = 4
Therefore, the equation has one solution which is x = 4.
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in the following equation , what happens to the value of y when the value of x is divided by 6 y=3/x
Answers
The value of y is multiplied by 6 when x is divided by 6
How to determine what happens to yFrom the question, we have the following parameters that can be used in our computation:
y = 3/x
Also, from the question we understand that
x is divied by 6
This means that the new equation is
y = 3/(x/6)
Evaluate
y = 6 * 3/x
This means that the new value of y is multiplied by 6
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What is the quotient of 7.584x 10^6 and 7.9x 10^2
Answers
Answer: the quotient is 957.07 x 10^4 which is equivalent to 957,070
Step-by-step explanation:
Bobs gift shop sold a record number of cards for Mother’s Day. One salesman sold 36 cards, which was 4% of the cards sold for Mother’s Day. How many cards were sold for Mother’s Day
Answers
The number of cards were sold for mother's day is 900 cards.
How to calculate total number using percentage?To calculate a total number using a percentage, first identify the percentage and the total number. Then divide the percentage by 100 to convert it to a decimal fraction. Finally, multiply the total number by the decimal fraction to calculate the total number.
For example, if the percentage is 10% and the total number is 200, first divide 10% by 100 to get 0.1. Then multiply 0.1 by 200 to get 20. The total number is 20.
In another example, if the percentage is 25% and the total number is 500, divide 25% by 100 to get 0.25. Then multiply 0.25 by 500 to get 125. The total number is 125.
It is important to remember that percentages are based on a whole, which is usually 100. Therefore, to use percentages to calculate a total number, it is necessary to first convert the percentage to a decimal fraction by dividing it by 100. Then, multiply the total number by the decimal fraction to calculate the total number.
36 cards is 4% of the total cards sold for Mother's Day.
Total number of cards = 36 / 4%
Total number of cards = 36 x 100/4
Total number of cards = 900 cards.
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Transport truck carries stereo computer and television parts
. The mass of the truck and the parts is 28 t
. The mass of the empty truck is 6 t
. The mass of the computer parts is 2 t less than the mass of television parts
. The mass of stereo parts double the mass of television parts
What is the mass of each type of parts?
Answers
The mass of television is 6t, the mass of computer is 4t and the mass of stereo is 12t.
We have to determine the mass of each type of parts.
A transport truck transports television, computer, and stereo components
1. The mass of the truck and the parts is 28t.
2. The mass of the empty truck is 6t.
3. The mass of the computer parts is 2t less than the mass of television parts.
4. The mass of stereo parts double the mass of television parts.
truck = 6t
part = stereo + television + computer
computer = television - 2t
stereo = television × 2
truck + parts = 28t
part = 28t - 6t
part = 22t
part = computer + television + stereo
part = television - 2t + television + television × 2
part = 4 × television - 2t
22t = 4 × television - 2t
4 × television = 24t
television = 6t
computer = 6t -2t = 4t
stereo = 6t × 2 = 12t
television = 6t
computer =4t
stereo = 12t
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Solve the equation 3x - 4/5 = - 1/2 What is the value of x? Enter your answer as a fraction, formatted like this: 42/53
HELP ME!!! QUICK!!
Answers
Answer:1/10 hope im right :)
Step-by-step explanation:
Answer: 1/10
Answer step by step:
1) 3x - 4/5 = - 1/2
2) 3x = -1/2 + 4/5 (move -4/5 to the right side of the equation and inverse the negative sign)
3) 3x = 0.3 (add the values)
4) 3x / 3 = 0.3 / 3 (divide both side with 3 to get rid of the constant value)
5) x = 0.1
6) x = 1/10 (the 1 in 0.1 is in the tenth place so we convert it to 1/10)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 9 above 80 to 89, at 9 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Flower Town.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Desert Landing is skewed
IQR, because Desert Landing is symmetric
Range, because Flower Town is skewed
Range, because Flower Town is symmetric
Answers
Range provides a precise measurement of variability for both sets of data because it compares the greatest and lowest values in a dataset.
It is a helpful measure of variability for comparing the constancy of temperature between Desert Landing and Flower Town because it is unaffected by skewness or symmetry.
A Histogram: What Is It?The graphic representation of data points arranged into user-specified ranges is called a histogram.
The histogram, which resembles a bar graph in appearance, condenses a data series into an intuitive visual by collecting numerous data points and organizing them into logical ranges or bins.
A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighboring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics.
In a bar graph, the frequency is represented by the length of each bar, which are ranked from longest to shortest. To illustrate the relationship between two sets of data, scatter plots plot observations as points.
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Please help. I'm not sure how to solve these.
In a large corporation, the times that it takes its employers to commute from home to office are normally distributed with a mean commute time of 29 minutes and a standard deviation of 7 minutes. Using this information, answer the following questions.
What is the probability that a randomly selected employee will take less than 20 minutes to commute to work?
If an employee can drive to work in 37 minutes, at what percentile would his commuting time rank?
What percentage of the employees take between 25 and 45 minutes to drive to work?
If an employee drives an hour to get from home to work, is that considered an unusually long commute?
Answers
The required probability and percentage for the employee to commute from home to office is :
a. probability for less than 20 minutes is 0.09852.
b. percentile for 37 minutes is 64%
c. percentage of the commute between 25 and 45 minutes is 70.49%.
Normally distributed data for the employers to commute from home to office :
Mean 'μ' = 29 minutes
Standard deviation 'σ' = 7 minutes
let 'X' represents the time taken by employee to commute.
a. Employee take less than 20 minutes to commute
Probability of taking time less than 20 minutes is:
P ( X < 20 )
= P [ ( X -μ )/ σ < ( 20 - 29)/7 ]
= P( Z < -9/7)
= P( Z < -1.29 )
= 0.09852
b. Employee take 37 minutes then percentile is :
P ( X =37 )
= P [ ( X -μ )/ σ = ( 37 - 29)/7 ]
= P( Z = 8/7)
= P( Z = 1.14)
= 0.64
= 64%
c. P ( 25 < X < 45 )
=P ( 25 -29 /7 < X -μ /σ < 45 -29 /7 )
=P ( -4/7 < Z < 16/7 )
= P( -0.571 < Z < 2.29 )
= P ( Z <2.29 ) - [1 - P( Z < 0.571 ) ]
= 0.9889 - ( 1 - 0.7160 )
= 0.7049
= 70.49%
Therefore, when the employee commute from home to office :
a. Probability of commuting less than 20 minutes is 0.09852.
b. Percentile of taking 37 minutes is 64%
c. Percentage between 25 and 45 minutes is 70.49%.
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could someone help me Q1
Answers
The complete statement is Δ MTS ≅ Δ RTS
What is Congruence?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given : Two triangles MTS and RTS
now in the triangles MTS and RTS
we have OM=RT , MN=SR , ON=ST
And therefore By SSS property of two triangles we can deduce that the two triangles are congruent.
Hence, The complete statement is Δ MTS ≅ Δ RTS
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I need help. need answer I have one more try
Answers
Answer:
1/7
Step-by-step explanation:
5/7 was already traveled so that leaves 2/7.
Thye traveled 1/2 of 2/7 so we multiply them.
1/2 x 2/7 = 2/14
We can simplify this by dividing both sides by 2.
1/7 is the final answer.