Two datasets arranged in descending 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)??
Answer

Step-by-step explanation:

Dataset 1 (in increasing order)

{1, 4, x, 8}

Dataset 2 (in increasing order)

{2, 5, y, 9}

Median of dataset 1

[4 + x] / [2]

Median of dataset 2

[5 + y] / [2]

since the medians of the two given sets of data are the same,

=> [4 + x] / [2] = [5 + y] / [2]

=> 2(5 + y) = 2(4 + x)

=> 10 + 2y = 8 + 2x

=> 2y - 2x = 8 - 10

=> 2y - 2x = - 2

=> 2(y - x) = - 2

=> [2(y - x)] / [2] = [- 2] / [2]

denominators and numerators cancel out

=> (y - x) = - 1

Therefore, (y - x) ² = (-1)²

=> (y - x) ² = 1

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y