Which statement is true of table A and table B shown below?
Table A represents a function because there is only one output for
each input value.
Table B represents a function because there is only one output for
each input value.
Table A represents a function because there is only one input for each
output value.
Table B represents a function because there is only one input for each
output value.
Answers
Table A represents a function, but Table B does not represent a function.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
A function or mapping is described as a collection of pairs of x and y that are ordered such that given different values of x, there will also be different values of y or vice versa.
For instance, the function x=y+2 yields a different x for every different value of y, while yielding the same x value for every single different value of y.
We obtain two distinct x for two distinct ys, thus we can refer to this as a function at that point.
As, each element of X is associated with a unique element of Y, so this is a function.
Table A
X Y
3 1
2 0
1 0
As, each element of X is associated with a unique element of Y, so this is a function.
Table B
X Y
3 -2
5 1
5 2
Hence, Table A represents a function, but Table B does not represent a function.
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Related Questions
Each number in the first table represents the points scored by a player on the AOP Academy basketball team. Make a frequency distribution, including relative frequency.
percent of total = frequency/total x 100%
1 5 8 10 11 12
1 6 9 10 12 13
3 7 9 11 12 13
4 8 10 11 12 14
For the relative frequencies below, round to the nearest hundredth. If applicable, include a leading zero.
Score Frequency Relative Frequency
Answers
Answer:
1 2 8.33%
3 1 4.17%
4 1 4.17%
5 1 4.17%
6 1 4.17%
7 1 4.17%
8 2 8.33%
9 2 8.33%
10 3 12.5%
11 3 12.5%
12 4 16.67%
13 2 8.33%
14 1 4.17%
total =24
antti entered a 10 kilometer race. his goal is to finish in one hour. he starts off sprinting, and completes the first 2 kilometers of the race at an average speed of 12 kilometers per hour. to achieve his goal of a one-hour finish time, what average speed must antti maintain for the last 8 kilometers of the race?
Answers
So, Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
To finish the 10 kilometer race in one hour, Antti must maintain an average speed of 10 kilometers per hour for the entire race. Since he has already completed 2 kilometers at an average speed of 12 kilometers per hour, he must make up for that extra speed by running the last 8 kilometers at a slower pace.
To find out what average speed he must maintain for the last 8 kilometers to finish in one hour, we can use the formula:
(distance) / (time) = (speed)
So, 8 / 1 = 8 kilometers per hour
Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
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Write an equation for the line that passes through (8, 2) and is parallel to the graph of y = 3/4x + 2.
Answers
Answer: do it youself
Step-by-step explanation:
what ratio is equivalent to 2
Answers
Two numbers' multiples are shown by a ratio. The required equivalent ratio will therefore be 2a:a
What are ratio of expressions?A ratio displays the multiples of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
a/b can be termed as a ratio b. In order to determine a ratio that is equivalent to 2, the value at the numerator must be twice that of the denominator.
Let the value at the denominator be "a", hence the numerator will be '2a'. The required equivalent ratio will therefore be 2a:a
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Which of the following represents 18 = 3 × 6?
A.
18 is 3 times as many as 6
B.
18 is 2 times as many as 9
C.
3 is 6 times as many as 18
D.
6 is 3 times as many as 18
Answers
Answer:
A) 18 is 3 times as many as 6----------------------------
Translate each wording to mathematical expression and compare with the given 18 = 3 × 6.
A) 18 is 3 times as many as 6:
18 = 3 × 6, yes same as givenB) 18 is 2 times as many as 9:
18 = 2 × 9, different from the givenC) 3 is 6 times as many as 18:
3 = 6 × 18, wrongD) 6 is 3 times as many as 18:
6 = 3 × 18, wrongExplain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.A)The sequence is a function because the domain is unrestricted.B)The sequence is a function because more than one rule can represent it.C)The sequence is a function because each rule produces one output for each input.D)The sequence is a function because each rule produces multiple outputs for each input.
Answers
The sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
What is a sequence?A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm.
Given sequence, 10..6, 11.8, 13 has a common difference between all the consecutive terms, that is, 12.
Hence, the sequence represents a linear function.
Since, the sequence is a linear function, every input will produce an output according to the rule.
Hence, the sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
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Fill the tables of values for the equation y=2-x
Answers
Explanation: you have to substitute the x values into the formula y=2-x:
y=2-x
y=2- -3
y=5
y=2-x
y=2-0
y=2
y=2-x
y=2-5
y=3
Hope this helps :)
toddler triplets whose names are red, green and blue each have a coat whose colour is given by their name, but they aren't clear on which coat belongs to which of them. when they go out, red chooses a coat at random among the three coats, green chooses a coat at random among the remaining two coats and blue is left to take the remaining coat. how many ways are there for exactly one of the toddler triplets to end up with their coat? help
Answers
The number of ways in which exactly one of the toddler triplets to end up with their coat is given as follows:
3.
What is a sample space?A sample space is a set that contains all possible outcomes in the context of an experiment.
The cardinality of the sample space in this problem, considering the Fundamental Counting Theorem, is obtained as follows:
N = 3 x 2 x 1
N = 6.
(the first chosen has 3 possible options, the second has two and the third has one).
The six possible outcomes are given as follows, considering the order Red - Green - Blue:
Red - Green - Blue. (all end with theirs).Red - Blue - Green (one, the red, end with theirs).Green - Red - Blue (one, the blue, end with theirs).Blue - Red - Green (none end with theirs).Green - Blue - Red. (none end with theirs).Blue - Green - Red. (one, the green, end with theirs).Hence there are three outcomes for exactly one of the toddler triplets to end up with their coat.
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seniors at a certain high school took a survey regarding future plans. all plan to attend college some time; however, 77% plan to go to college immediately following high school. of those who plan to attend college immediately following high school, 17% plan to major in math. of those who do not plan to attend college immediately following high school, 11% plan to major in math. what is the probability that a randomly chosen senior does not plan to attend college immediately following high school and plans to major in math.
Answers
The probability that a randomly chosen senior does not plan to attend college right away and majors in math is 12.5%.
Step 1: Calculate the probability of not attending college immediately after high school:
100% - 77%
= 23%
Step 2: Calculate the probability of majoring in math among those who do not attend college right away: 11%
Step 3: Calculate the probability of not attending college right away and majoring in math:
11% / 23%
= 0.125
The probability of a randomly chosen senior not attending college immediately following high school and majoring in math can be calculated by first determining the probability of not attending college right away. This can be done by subtracting the percentage of seniors who plan to attend college immediately from 100%. This yields 23%. Then, the probability of majoring in math among those who do not attend college right away can be determined by taking the percentage of those who plan to major in math among this group, which is 11%. Lastly, the overall probability of not attending college right away and majoring in math can be calculated by taking the probability of majoring in math among those who do not attend college right away and dividing it by the probability of not attending college right away. This yields 11% / 23%, or 0.125.
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How do you write a ratio table in 7th grade?
Answers
A ratio table is a way to compare two or more related quantities. To write a ratio table in 7th grade, you need to:
1. Identify the two or more related quantities you are comparing.
2. Create a table with two columns. Label the first column with the first quantity and the second column with the second quantity.
3. Put the combined ratio in the first row of the table.
4. Put the ratio for the first quantity in the second row of the table.
5. Put the ratio for the second quantity in the third row of the table.
6. In the fourth row, put the combined ratio of the ratios from the previous rows.
7. Repeat steps 4-6 until you have the desired number of rows.
8. Check to make sure that all of the ratios in the table are equivalent.
Once you have completed these steps, you should have a completed ratio table
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Please the inverse of this function!!
Answers
Answer:
[tex]\frac{5x-3}{4}[/tex]
Step-by-step explanation:
[tex]x=\frac{4y+3}{5} \\ 5x=4y+3\\ 5x-3=4y\\ \frac{5x-3}{4} =y[/tex]
This table shows some of the values of x and y that satisfy the equation y=acos0+b, find the value of y when x = 45
Answers
Answer: [tex]4\sqrt{2}+1[/tex]
Step-by-step explanation:
[tex]x=0 \implies y=a+b \implies a+b=9\\\\x=30 \implies \frac{\sqrt{3}}{2}a+b=1+4\sqrt{3}\\\\\implies \frac{\sqrt{3}}{2}a-a=4\sqrt{3}-8\\\\a=\frac{4\sqrt{3}-8}{\frac{\sqrt{3}}{2}-1}=\frac{8\sqrt{3}-16}{\sqrt{3}-2}=8\\\\\implies b=9-8=1\\\\\therefore y=8\cos x^{\circ}+1\\\\x=45 \implies y=8\left(\frac{\sqrt{2}}{2} \right)+1=4\sqrt{2}+1[/tex]
Nicole measured a line to be 10.9 inches long. If the actual length of the line is 10.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer: 6.9%
Step-by-step explanation:
Substituting into the percent error formula,
[tex]\frac{|10.9-10.2|}{10.2} \times 100 \approx 6.9\%[/tex]
A system of equations is shown below. y = 3x + 4 y = 7x – 2 What is the solution to the system?
Answers
The solution to the system of equations is x = 3/2 and y = 11/2.
What is the linear equation?
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b
We are given two equations:
y = 3x + 4
y = 7x – 2
We can set the two equations equal to each other and solve for x:
3x + 4 = 7x - 2
Subtracting 3x from both sides:
4 = 4x - 2
Adding 2 to both sides:
6 = 4x
Dividing both sides by 4:
x = 3/2
Now we can substitute this value of x back into either of the original equations to find the corresponding value of y. Using the first equation:
y = 3(3/2) + 4 = 9/2 + 4 = 11/2
Therefore, the solution to the system of equations is x = 3/2 and y = 11/2.
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A plane flying at 2000 ft altitude begins a 25 degree angle of depression to land. What
is the distance the plane will travel before it lands?
Answers
The distance the plane will travel before it lands cannot be determined from the information given. You would need to know the speed of the plane and the time it takes to travel in order to calculate the distance.
PLEASE HELP !!!
Question : what do the MAD’s indicate about the vegetables weights?
The weights of the tomatoes vary _____ (less or more) than the weights of the cucumbers since the MAD for tomatoes is ____ (less or greater) than the MAD for cucumbers.
Answers
The weights of the tomatoes vary less than the weights of the cucumbers since the MAD for tomatoes is less than the MAD for cucumbers.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
It is the average distance between each data point and the mean.
The weights of the tomatoes vary less than the weights of the cucumbers since the MAD for tomatoes is less than the MAD for cucumbers.
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Answer:
less & less
Explanation: Because thats how u do it
Will give 5 star if correct: eden purchased a home for $156,200. the home appreciates about 4.5% each year. what is the value of the home after 17 years? (5 points)
$275,693.00
$71,406.60
$330,109.46
$166,462.16
Answers
The value of the home after 17 years $275,693.00.
The correct option is (A).
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Eden purchased a home for $156,200.
The appreciates percent = 4.5%
So, the appreciates percentage in 17 year
= 4.5 x 17
= 76.5%
Now, the amount increased of home
= 156200 x 76.5%
= $119,493
So, the value of home after 17 year
= 119493 + 156200
= $ 275, 693
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Diana had a coupon for c dollars off of
each box of crackers. Diana bought 2
boxes of crackers for 4.50 – c dollars
each. She also bought 8 cans of soup
for s dollars each. The total amount, in
dollars, she spent on the cans of soup
and boxes of crackers is represented by
the expression below.
2(4.50 – c)+8s
Which expression also represents the
total amount, in dollars, she spent?
A.6.50 – 2c + 8s B. 6.50 – 2c + 10s
C. 9 – c + 8s D. 9–2c + 8s
Answers
Answer:
d. 9 - 2c + 8s
Step-by-step explanation:
we can distribute the two by multiplying it by both 4.50 and -c. our result will be 9 and -2c. simply combine that with the 8s that we already had, and we end up with 9 - 2c + 8s.
In an experiment with probability function f(x) is binomially distributed with probability p that an attribute occurs at a single trial. If in four trials of the experiment, the attribute occurs four times with probability 16/81, find the value of p
Answers
Answer:
Step-by-step explanation:
A binomial probability function has two parameters: n, the number of trials and p, the probability of success (or occurrence of the attribute) in a single trial.
In this case, we are given that the attribute occurs four times in four trials, with probability 16/81. Using this information, we can use the binomial probability formula to find the value of p:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
Where k is the number of successes in n trials, and (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n items without replacement.
In this case,
k = 4 (the attribute occurs four times)
n = 4 (there are four trials)
P(k) = 16/81
We can use this equation to find the value of p:
(4 choose 4) * p^4 * (1-p)^(4-4) = 16/81
1 * p^4 * (1-p)^0 = 16/81
p^4 = 16/81
p = √(16/81)
p = √(4/81)
p = √(1/81)
p = 1/9
The value of p is 1/9
This means that in a single trial of the experiment, the probability of the attribute occurring is 1/9 or about 0.111
F(x) = 2x² +1
g(x) = 3x - 5
f-g
Answers
Answer: The answer is. 2x² - 3x + 6. Step-by-step explanation: f(x) = 2x² + 1. g(x) = 3x - 5. To find f - g(x) subtract g(x) from f(x).
I hope this helps! Have a Wonderful day! <3
If you work 45 minutes a day for 90 days in row and add an additional 20 hours how many hours do you have?
Answers
Let’s break down the math to arrive at this answer. You said that you worked 45 minutes each day for 90 days. To calculate the total number of hours, we can multiply 45 minutes by 90 days. 45 minutes is 0.75 of an hour, so we can convert the minutes to hours and multiply by 90. 0.75 multiplied by 90 is 67.5 hours.
You also noted that you added an additional 20 hours of work. When we add these two numbers together, we get 67.5 hours plus 20 hours, which equals a total of 87.5 hours.
To get to the answer of how many total hours you have worked, we must round up the 87.5 hours to the nearest whole hour. If we round up 87.5 hours, we get a result of 88 hours. To calculate the final answer, we need to add the 88 hours to our original number of 67.5 hours, which gives us a total of 105 hours.
In conclusion, if you work 45 minutes a day for 90 days in a row and add an additional 20 hours, you will have worked a total of 105 hours.
Find the z-score for the value 93, when the mean is 100 and the standard deviation is 3.
Answers
The required z-score of the value 93 when the mean is 100 and the standard deviation is 3 is z = -2.3.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
here,
z = x - μ / σ
Where,
μ = mean and σ = standard deviation
From the question substitute the value in the given above formula,
z = 93 - 100 / 3
z = -2.3
Thus, the required z-score of the value 93, when the mean is 100 and the standard deviation is 3 is z = -2.3.
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Birr 6,500 were divided equally among a certain number of persons. Had there
been 15 more persons, each would have got Birr 30 less. Find the original number
of persons
Answers
So, on solving the question we can say that the equation formed is - 6500 = 15x - 30y x = 433.3333333333
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
the equation formed is -
6500 = 15x - 30y
y = 0
x = 6500/15
x = 433.3333333333
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what is the probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour?
Answers
The probability that the request is received by the server within the first 5 minutes (300 seconds) after the hour would depend on the rate at which requests are made to the server, as well as any other factors that may affect the timing of requests.
In order to find this probability, you would need additional information such as the average rate of requests per second or minute, and the distribution of request timing.
If the requests are Poisson distributed with a mean rate of λ requests per second, the probability that a request is received within the first 5 minutes (300 seconds) after the hour is
P(X<=300) = 1- e^(-300λ)
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A town has three roads that form an obtuse triangle. James wants to set up a refreshment stand so that the shortest distance from his stand to each road is the same for all three roads. Where should he set up the refreshment stand?
A. on the centroid
B. on the circimcenter
C. on the incenter
D. on the median
Answers
James should set up the refreshment stand on the incentre of the obtuse triangle.
The incentre of a triangle is defined as the intersection between the angle bisectors of a triangle. The inradius is the line segments from the incenter of the triangle to each of the three sides of the triangle which are all equal.
The inradius is defined as the radius of an inscribed circle in the triangle. Therefore, the required shortest equal distance from his stand to each road so that the stand is at the same distance for all three roads is on the incentre.
Hence, the correct option is C.
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x race to power 4 minus 8x race to power 2 plus 1 equal to zero (Pls can anybody solve this)
Answers
Answer:
×⁴-8ײ+1
Explanation:
kaya yan ung sagot ksi hnd mo na sya mai-sosolve kasi mag kaiba ung upper right side nya kaya i coppy molng un^_^..hope its help...
beth and her friends are watching an ice hockey game, so beth decides to buy 4 cups of hot chocolate to share. she figures she'll spend at least $14 on the hot chocolate in all. let x represent how much beth expects each cup of hot chocolate to cost. which inequality describes the problem?
Answers
The inequality that describes the problem is: x*4 >= $14.
This inequality can be read as: "the cost of 4 cups of hot chocolate (x) multiplied by 4 is greater than or equal to $14."
We know that Beth expects to spend at least $14 on the hot chocolate in total, and she's buying 4 cups, so we can set up the inequality with the number of cups and the minimum amount she wants to spend.
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
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The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P(a composite number) a. c. b. d.
Answers
The spinner above is used in a game. the theoretical probability of the given event with one spin is 1/2.
Given that a circular spinner with equal sectors for the numbers 1 through 8 is present.
Therefore, the likelihood of receiving any number from 1 to 8 is equal.
=1/8
Probability that the number is between 2 and 7 is known as the required probability.
The numbers 3,4,5, and 6 fall between 2 and 7.
So, favorable events equal 4,
Events totaling 8 P(a number between 2 and 7)=4/8 =1/2
The result is 1/2.
Theoretically, there is a 0.50 percent chance that the event, which is the number landing in a range between 2 and 7, will occur after one spin.
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what is the answer to 2/3 + 1/3 + 5/3?
Answers
Answer:
8/3
Step-by-step explanation:
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party to choose which type of movie they would like best she decides to survey every other child entering a matinee for a cartoon called three pretty princess the total number of children survey was 40 what is wrong with the way she selected her sample check all that apply
Answers
The mistake Sofia did will doing survey is mentioned in option A, B, and D.
Survey:
In human research, a survey is a list of questions designed to extract specific data from a specific group of people. Surveys can be conducted by phone, email, internet, street corner or shopping mall. Surveys are used to gather or generate insights in areas such as social surveys and demographics.
Research studies are commonly used to assess thoughts, opinions, and feelings. Research can be specific and narrow, or it can set more global and broad goals. Psychologists and sociologists often use surveys to analyze behavior, but they also serve the more practical needs of the media, such as evaluating political candidates, public health officials, professional organizations, and advertising and marketers. It is also used to meet Research studies are also used in various medical and surgical fields to gather information about the practice patterns of health care workers and their attitudes towards various clinical problems and diseases. Health professionals who may participate in research studies include, but are not limited to, physician nurses and physical therapists. A questionnaire consists of a series of pre-determined questions for a sample. A representative sample, that is, a sample representative of the larger population of interest, can be used to describe the attitudes of the population from which the sample was drawn. Additionally, you can compare the attitudes of different population groups and look for changes in attitudes over time. Proper sample selection is very important as it allows the sample results to be generalized to the population. This is the overall purpose of the research study. Additionally, it is important to ensure that the survey questions are not biased. B. Use of Obscene Language. This prevents survey results from being inaccurate.
According to the Question:
The survey included 40 children.
The movie Sofia chose was " Three Little Princesses"
The mistake in the way she selected her sample was:
Option A: The sample of 40 children is too small to represent all kindergartners.
Option B: The sample was taken at a specific movie, which will skew data towards that type of movie.
Option D: The sample should include the adults with the children instead of only children.
Therefore, the mistake Sofia did will doing survey is mentioned in option A, B, and D.
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