Answer:
2:5
Step-by-step explanation:
Simplify
Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the restaurant was playing country 11 times, rock & roll 17 times, and blues 8 times.
Use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time Mahnoor walks in.
Input your answers as fractions or as decimals rounded to the nearest hundredth.
Therefore, the probability model for the type of music being played next time is: - Country music: 0.31 , - Rock & roll: 0.47 , - Blues: 0.22
To create a probability model, we need to divide each observed frequency by the total number of observations.
The total number of observations is 11 + 17 + 8 = 36.
The probability of country music being played next time is 11/36 or 0.31.
The probability of rock & roll being played next time is 17/36 or 0.47.
The probability of blues being played next time is 8/36 or 0.22.
Therefore, the probability model for the type of music being played next time is:
- Country music: 0.31
- Rock & roll: 0.47
- Blues: 0.22
Based on Mahnoor's observations, we can create a probability model for the type of music being played the next time she walks into the restaurant.
Total observed times: 11 (country) + 17 (rock & roll) + 8 (blues) = 36 times
Probability of each type of music:
- Country: 11/36 ≈ 0.31 (rounded to the nearest hundredth)
- Rock & Roll: 17/36 ≈ 0.47 (rounded to the nearest hundredth)
- Blues: 8/36 ≈ 0.22 (rounded to the nearest hundredth)
So, the probability model is as follows:
- Country: 0.31
- Rock & Roll: 0.47
- Blues: 0.22
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Find the number that makes the ratio equivalent to 1:7.
Answer:
So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.
Step-by-step explanation:
Above
Please Mark brainliest if this helped i need 3 more!
Answer:
2:14 or 3:21
Step-by-step explanation:
because u multiply
the area of an equilateral triangle with Side 2 cm is
Answer:
Here side(a) = 2 cm. = (√3/4) (2)². = (√3/4) x (2) x (2). = (√3). = √3 cm².
Step-by-step explanation:
A = √3 cm²
Step-by-step explanation:Hi there !
use formula for area of equilateral triangle
\(A=\frac{s^{2} \sqrt{3}}{4}\)
s = side
A = (2cm)²√3/4
= 4√3cm²/4
= √3 cm²
Good luck !
If anyone knows the answer to this can you help me
Answer:
C. y + 7 = -7(x - 3)Step-by-step explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where m is the slope and (x₀, y₀) is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
y + 7 = -7(x - 3)
prime factor of the number 40
Answer:
I think you mean the prime factorization, which is (2^3)*5
Step-by-step explanation:
you can use a prime factorization tree and find that 40 is divisible by 4 which is 2^2 and 10 which is 2*5. combine the twos and you get (2^3)*5
On a time limit answer asap pls
Answer:
160°
Step-by-step explanation:
Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.
Since we know m∠2, we can find m∠1 easily.
180-20=160°
Hope this helped!
Does anyone know this question if so please help me
can't see image clearly
Absolute value of |x+5|-6=7
Answer:
8 and -18
Step-by-step explanation:
The graph of y=15(x-92)^2+3 has the axis of symmetry at x=___
Find the abscissa on the curve x2=2y which is nearest
to a
point (4, 1).
The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
Given the equation x^2 = 2y.
The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:
To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].
Now we need to find the value of x that will minimize this expression.
We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.
Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T
he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
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A local restaurant owner claims that only 15% of visiting tourists stay for more than 2 days. A chamber of commerce volunteer is sure that the real percentage is higher. He plans to survey 100 tourists and intends to speak up if at least 18 of the tourists stay longer than 2 days. What is the probability of mistakenly rejecting the restaurant owner's claim if it is true
The probability of Type I error, which represents mistakenly rejecting the restaurant owner's claim if it is true, can be calculated using the binomial distribution. Probability of Type I error = P(X ≥ 18) = 1 - P(X < 18)
To determine the probability of mistakenly rejecting the restaurant owner's claim if it is true, we can use statistical hypothesis testing and calculate the probability of a Type I error. In this scenario: The null hypothesis (H₀) is that 15% of tourists stay for more than 2 days, The alternative hypothesis (H₁) is that the percentage is higher than 15%.
The chamber of commerce volunteer plans to survey 100 tourists and intends to speak up if at least 18 tourists stay longer than 2 days. We can calculate the probability of observing 18 or more tourists staying longer than 2 days if the true percentage is indeed 15%. To calculate this probability, we can use the binomial distribution formula. Let's denote X as the number of tourists staying longer than 2 days. The probability of X ≥ 18 can be calculated as follows: P(X ≥ 18) = 1 - P(X < 18)
Using the binomial probability formula, we can calculate the probability for each value from X = 0 to X = 17 and sum them: P(X < 18) = Σ (nCk) * p^k * (1 - p)^(n-k), for k = 0 to 17. Here, n = 100 (sample size) and p = 0.15 (assumed true percentage).. Once we have calculated P(X < 18), we can find the probability of mistakenly rejecting the restaurant owner's claim if it is true: Probability of Type I error = P(X ≥ 18) = 1 - P(X < 18).
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use vectors to decide whether the triangle with vertices p(2, −1, −1), q(3, 2, −3), and r(7, 0, −4) is right-angled.
To determine whether the triangle with vertices P(2, -1, -1), Q(3, 2, -3), and R(7, 0, -4) is right-angled, we can use vectors.
First, we calculate the vectors formed by the sides of the triangle:
Vector PQ = Q - P = (3, 2, -3) - (2, -1, -1) = (1, 3, -2)
Vector PR = R - P = (7, 0, -4) - (2, -1, -1) = (5, 1, -3)
Next, we take the dot product of these two vectors:
PQ · PR = (1, 3, -2) · (5, 1, -3) = 1 * 5 + 3 * 1 + (-2) * (-3) = 5 + 3 + 6 = 14
If the dot product is zero, then the two vectors are perpendicular, indicating that the triangle is right-angled.
In this case, since PQ · PR = 14 ≠ 0, the triangle with vertices P, Q, and R is not right-angled.
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Evaluate the expression 6 + 8f for f = 4.
A 8
B 18
C 38
D 56
P1-8
The answer is C:38
explanation: you multiply 8x4=32, so then you add 6 to 32
Hope this helped!
consider the differential equation given by[math equation]the goal of this problem is to solve this differential equation numerically, analytically and compare the solutions. find the exact solution (i.e. the analytical solution) use euler's method to solve the differential equation with a step size h=0,001; (this is the numerical solution)
The number of iterations increases. If there is a significant difference between the two solutions, we may need to investigate the numerical method used or check for errors in our analytical solution.
Step-by-step explanation:
The differential equation is missing in your question. However, I will give a general overview of how to solve a differential equation numerically using Euler's method and how to find an analytical solution.
Numerical Solution using Euler's Method:
Suppose we have a first-order differential equation of the form y' = f(x, y), where y' represents the derivative of y with respect to x. To solve this numerically using Euler's method, we need to start with an initial condition y(x0) = y0, and we want to find the value of y at some other point x1 = x0 + h.
The Euler's method involves approximating the derivative y' by the difference quotient (y1 - y0) / h, where y1 is the value of y at x1. Rearranging this equation, we get:
y1 = y0 + h * f(x0, y0)
Using this equation, we can iteratively compute the value of y at different points by using the previous value of y. For example, to find y2, we can use the equation:
y2 = y1 + h * f(x1, y1)
We continue this process until we reach the desired endpoint.
Analytical Solution:
An analytical solution to a differential equation is an explicit expression for y(x) that satisfies the differential equation for all values of x. To find an analytical solution, we may use techniques such as separation of variables, integrating factors, or other methods specific to the type of differential equation.
For example, if we have a differential equation of the form y' = k * y, where k is a constant, we can use separation of variables to obtain:
dy / y = k * dx
Integrating both sides, we get:
ln|y| = k * x + C
where C is an arbitrary constant of integration. Solving for y, we get:
y = Ce^(kx)
where C = ±e^C is a constant determined by the initial condition.
Comparison of Solutions:
Once we have the numerical and analytical solutions, we can compare them by plotting the graphs of y(x) for each method. If the numerical solution was computed with a small enough step size, it should converge to the analytical solution as the number of iterations increases. If there is a significant difference between the two solutions, we may need to investigate the numerical method used or check for errors in our analytical solution.
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Help me plz Find sum. Reduce your answer to lowest.
2/5+1/4=
3/6+2/8=
1/7+2/3=
3/5+1/6=
1/3+2/5=
Answer:
2/5 + 1/42(4) + 1(5) ÷ 5(4)
8 + 5/20
13/20
3/6 + 2/83(8) + 2(6) ÷ 6(8)
24 + 12 ÷ 48
36/48
3/4
1/7 + 2/31(3) + 2(7) ÷ 7(3)
3 + 14 ÷ 21
17/21
3/5 + 1/63(6) + 5(1) ÷ 5(6)
18 + 5/30
23/30
1/3 + 2/51(5) + 2(3) ÷ 3(5)
5 + 6/15
11/15
-TheUnknownScientist 72
Kaci earned scores of 78, 88, 87, and 91 on her first four science tests. Shehas one more test to take and wants to get an average score of 80 or more on hertests.The following is the inequality that represents this situation, where I is the score ofher fifth test(78+88+87+91+x)5> 80What is the minimum score Kaci can receive on her fifth test to have an averagescore of at least 80?
Given:
Kaci earned scores of 78, 88, 87, and 91 on her first four science tests.
She has one more test to take and wants to get an average score of 80 or more on her tests.
Let the score of the final test = x
So, the average of the scores will be equal to or greater than 80
So, we have the following inequality
\(\frac{78+88+87+91+x}{5}\ge80\)Solve for x:
\(\begin{gathered} \frac{78+88+87+91+x}{5}\ge80\rightarrow\times5 \\ 78+88+87+91+x\ge80\times5 \\ 344+x\ge400 \\ x\ge400-344 \\ x\ge56 \end{gathered}\)So, the minimum score will be 56
PLEASE HELP!!!
The population of a town increases by 3% each year. If its population today is 25,000, what will its population be in 5 years?
A 25,000 (1.03)
B 25,000-(1.03)5
25,000-(0.03)
25,000 (1.03) - (5)
The population of the town in 5 years will be approximately 28,982.
What is exponential growth?A data pattern known as exponential growth exhibits faster expansion over time. Compounding generates exponential profits in finance. Exponential growth is possible in savings accounts with a compounding interest rate. Compound returns in finance lead to exponential development. One of the most potent forces in finance is the power of compounding. With the help of this idea, investors may generate sizable sums with little start-up money. Compound interest savings accounts are typical instances of exponential development.
Given that, population of a town increases by 3% each year.
The population after 5 years is calculated by:
Population in 5 years = Initial population x (1 + rate) raised to time.
That is,
Population in 5 years = 25,000 x (1 + 0.03)⁵
Population in 5 years = 25,000 x 1.159274
Population in 5 years = 28,981.85
Hence, the population of the town in 5 years will be approximately 28,982.
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An iterative formula is shown below.
Xn+1 = 3/4xn-1
Work out the values of x2, x3 and x4, starting
with x1 = 2.
Give your answers to 2 d.p.
The value for the following order of the given iterative formula of xₙ + 1 = 3/4 xₙ₋₁ are:
x₂ = 0.5x₃ = - 0.63x₄ = - 1.47Iterative formula is used to process a repeating procedure to produce a series of results
We have an iterative formula of:
xₙ + 1 = 3/4 xₙ₋₁
We know that:
x₁ = 2
Hence:
x₂ + 1 = 3/4 x₁
x₂ + 1 = 3/4 (2)
x₂ + 1 = 3/2
x₂ = 1/2 = 0.5
x₃ + 1 = 3/4 x₂
x₃ + 1 = 3/4 (1/2)
x₃ + 1 = 3/8
x₃ = -5/8 = - 0.63
x₄ + 1 = 3/4 x₃
x₄ + 1 = 3/4 (-5/8)
x₄ + 1 = -15/32
x₄ = - 47/32 = -1.47
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Gerardo works in a music store and earns 6.1% commission on each sale. If Gerardo sells a guitar and earns $86.50, what is the price of the guitar? Round your answer to the nearest cent.
The Price of the guitar is $ 1418.03
Calculating Percentage:In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. In order to calculate a percentage of a number, multiply it by 100 after dividing it by its whole.
To find the percentage multiply the ratio of the actual value by the total value with 100.
Here given
Gerardo works in a music store and earns a 6.1% commission on each sale.
Gerardo sells a guitar and earns $86.50
Here we need to find the Price of the guitar
Since we don't know the price of the guitar
Let's assume that the Price of the guitar is $ x
From the given data,
The commission earned on the guitar = 6.1% of x
=> \(\frac{6.1}{100} \times x\)
=> 0.061x
Given that
The amount earned by Gerardo on guitar = $86.50
=> 0.061x = $86.50
=> x = (86.50)/0.061
=> x = 1418.03
Therefore,
The Price of the guitar is $ 1418.03
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Answer:
1418.03
Step-by-step explanation:
question 81 pts the effectiveness of two types of textbook is compared. a class of 30 students is randomly divided into two groups. one group uses digital textbooks and the other group uses paper textbooks. a summary of their test scores at the end of the session is given below. digital textbook: paper textbook: construct a 90% confidence interval for the difference in scores between the two groups assuming underlying normal distributions with equal variance. find the upper bound of the confidence interval (round off to first decimal place).
Therefore , the upper bound of the confidence interval is - 8.82 .
What is confidence interval ?A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.
Here,
n1 = 17 ; X1' = 78.4 ; s1² = 90.3
n2 = 13 ; X2' = 92 ; s2² = 107.8
Confidence interval :
(x1 - x2) ± Tcritical * \(\sqrt{[(sp^{2} /n1 + sp^{2}/n2)]}\)
Pooled variance = Sp²
=> Sp² = (df1*s1² + df2*s2²) / (n1 + n2 - 2)
df = n - 1
Sp² = (16*90.3 + 12*107.8) / 28
Sp² = 97.8
Tcritical, 90%, df = n1 + n2 - 2 = 28 (1 - tail)
Tcritical = 1.313
(78.4-92)±1.313*sqrt[(sp²/n1 + sp²/n2)]
Margin of Error = Tcritical *\(\sqrt{[(sp^{2} /n1 + sp^{2}/n2)]}\)
Margin of Error = (1.313 * √(97.8/17 + 97.8/13)) = 4.7771473
Upper boundary :
(78.4-92) + 4.7771473
-13.6 + 4.7771473
= -8.8228527
= - 8.82
Therefore , the upper bound of the confidence interval is - 8.82 .
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Three infinite lines of charge, rhol1 = 3 (nC/m), rhol2 = −3 (nC/m), and rhol3 = 3 (nC/m), are all parallel to the z-axis. If they pass through the respective points ...
The three infinite lines of charge, with densities of +3 (nC/m), -3 (nC/m), and +3 (nC/m), respectively, are parallel to the z-axis and pass through specific points.
To determine the electric field at a point, we need to use Coulomb's law and integrate over the length of each line of charge.
The direction of the electric field is perpendicular to the line of charge, and the magnitude is proportional to the charge density and inversely proportional to the distance from the point to the line of charge. The final result will be a vector sum of the electric fields due to each line of charge.
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complete question:
Three infinite lines of charge, rhol1 = 3 (nC/m), rhol2 = −3 (nC/m), and rhol3 = 3 (nC/m), are all parallel to the z-axis. If they pass through the respective points determine the nature of electric field.
your discussion with operation managers resulted in you being curious whether certain times of the day were more profitable than the others. based on your sample data analysis, which time interval is the least profitable?
By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.
To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.
The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.
Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.
This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.
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In what quadrant does the terminal side of its positive reference angle lie?
The terminal side lie on Quadrant 2nd.
We know that;
The original angle and the reference angle together form a straight line along the x-axis,
Hence, Their sum is, 180°.
Therefore, the reference angle is 80°.
And, The reference angle for 100° is 80°.
Thus, The terminal side lie on Quadrant 2nd.
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Find the measure of one interior angle in the regular polygon.
a: 125°
b: 180°
c: 130°
d: 150°
fast answers pls!!!
one aspect of obtaining an engineering education is the prospect of improved future earnings in comparison to non-engineering graduates. sharon shay estimates that her engineering education has a $85,000 equivalent cost at graduation. she believes the benefits of her education will occur throughout 25 years of employment. she thinks that during the first 8 years out of college, her income will be higher than that of a non-engineering graduate by $25,000 per year. during the subsequent 10 years, she projects an annual income that is $35,000 per year higher. during the last 17 years of employment, she estimates an annual salary that is $52,000 above the level of the nonengineering graduate. if her estimates are correct, what rate of return will she receive as a result of her investment in an engineering
if Sharon's estimates are correct, she can expect a rate of return of 7.63% on her investment in an engineering education over 25 years of employment.
To calculate the rate of return Sharon will receive as a result of her investment in an engineering education, we need to compare the present value of the future benefits she will receive to the cost of her education. We can use a discount rate to adjust the future benefits to their present value. Assuming a discount rate of 5%, we can calculate the present value of the benefits as follows:
PV = $25,000/(1+0.05)^8 + $35,000/(1+0.05)^18 + $52,000/(1+0.05)^25 = $424,182.44
Since Sharon's estimated cost of her engineering education is $85,000, her net benefit is:
Net Benefit = Present Value of Benefits - Cost of Education = $424,182.44 - $85,000 = $339,182.44
Rate of Return = (Net Benefit / Cost of Education)^(1/n) - 1
where n is the number of years of employment. Plugging in the values, we get:
Rate of Return = ($339,182.44 / $85,000)^(1/25) - 1 = 0.0763 or 7.63%
Therefore, if Sharon's estimates are correct, she can expect a rate of return of 7.63% on her investment in an engineering education over 25 years of employment.
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A sample that does not represent the entire group of interest is called a _____ sample. Group of answer choices biased random bad partial
A sample that does not represent the entire group of interest is called a biased sample.
A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.
Therefore, a biased sample may not be an accurate representation of the entire population.
For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.
A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.
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Do any of them you know
Answer:
I believe I am correct.
1: slope
2: linear equation
3: y-intercept
4: slope-intercept form
5: y-intercept is (0,6) the slope is -2
6: y-intercept is (0,3.4) the slope is 10/6
7: y-intercept is (0,4) the slope is -4/16
Hope this works for you Jack Jiang.
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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what is the value of the median for the following set of scores? scores: 1, 3, 4, 6, 8, 12, 13, 23, 25, 26 group of answer choices 10 12.5 7 8
The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.
To find the median of a set of numbers, you need to first arrange the numbers in numerical order. The numbers from the given set, arranged in numerical order, are:
1, 3, 4, 6, 8, 12, 13, 23, 25, 26
The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.
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What single transformation was applied to
quadrilateral A to get quadrilateral B?
A.translation
B.rotation
C. Reflection
D.dilation
The transformation that is applied to the quadrilateral A to get quadrilateral B is translation.
We can see that the quadrialteral A and B look exactly the same.
It is just that they are being moved from one place to another.
So. it cannot be a rotation or a reflection.
Also, the size of both the quadrilaterals are same.
So, it can also not be a dilation.
So, the transformation that is applied is:
Translation.
Therefore, the transformation that is applied to the quadrilateral A to get quadrilateral B is translation.
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