The question is missing. The complete question is:
Two datasets arranged in descendind order are: {8,x,4,1} and {9,y,5,2}. If the medians of the two given datasets are equal, what is the value of
(y-x)² ?
Answer: (y-x)² = 1
Step-by-step explanation: Median is the middle term of a data set.
In both datasets, there are an even quantity of number, so, to calculate median, sum the two center values and divide it by 2.
1) To facilitate, arrange it in ascending order:
(1,4,x,8) and (2,5,y,9)
Median of the first:
Median of the second:
As medians are the same:
=
4+x = 5+y
x - y = 5 - 4
x - y = 1
The question asks for (y-x)², so
y - x = -1
(y-x)² = (-1)²
(y-x)² = 1
Answer:
The circunference is represented by the equation is .
The graph of this function is presented in the attachment.
Step-by-step explanation:
The general equation of the circunferece is defined by the following formula:
(1)
We can determine the value of the coefficients by knowing three distinct points: , ,
The system of linear equations is:
(2)
(3)
(4)
The solution of this system is: , , .
The circunference is represented by the equation is .
The graph of this function is presented in the attachment.
Answer:
Step-by-step explanation:
Given equation:
Expand the left side:
Let all terms on the left side have the same denominator of 7:
Join the terms on the left side:
Let all the terms on the right side have the same denominator of 3:
Join the terms on the right side:
Cross multiply:
Expand:
Add 12x to both sides:
Add 252 to both sides:
Divide both sides by 40:
Answer:
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Step-by-step explanation:
Answer:
y = 7/3 x = -5/3
Step-by-step explanation: