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3 years ago

What is the median value of the data set shown on the line plot? Thanks! :D

Mathematics

2 answers:

mart [117]3 years ago

7 0

1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11 is your set and you cross each off one by one on each side till you get to the middle. Finding the median is easy here is an example.
1 is crossed off then 11, then 2, then 9, then 3, then 9, and again till you reach the middle. that would be the median. If there is two numbers in the middle, such as 6 in this case, you add them numbers and divide it by 2. So 6+6= 12 and 12 divided by 2 equals 6. So your answer is 6

Anastasy [175]3 years ago

6 0

I just took the quiz and the answer was 6, I hope that helps! Have a nice day! :D

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Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point) 4x − 2y =

goldenfox [79]

Answer:

<h3>Option d) 4x + 2y = 10 and 8x = 16 is correct</h3><h3>Therefore 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations</h3>

Step-by-step explanation:

Given equations are

$4x-2y=6\hfill (1)$

$2x+y=5\hfill (2)$

<h3>To find the the equivalent system of linear equations that will produce the same solution as for the given equation :</h3>

First find the solution to the given system of equations by elimination method

Multiply the equation (2) into 2 we get

$4x+2y=10\hfill (3)$

Now adding the equations (1) and ( 3) we get

$4x-2y=6$

$4x+2y=10$

_______________

$8x=16$

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute the value of x in equation (1) we get

$4(2)-2y=6$

$8-2y=6$

$-2y=6-8$

$-2y=-2$

$y=\frac{-2}{-2}$

y=1

Therefore the value of y is 1

Therefore the solution to the given system of equations is (2,1)

<h3>Now to find the equivalent system of equations have same solution (2,1)</h3>

Verify the equations $4x+2y=10\hfill (4)$ and 8x = 16

From 8x=16

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute x=2 in equation (4) we get

4(2)+2y=10

8+2y=10

2y=10-8

2y=2

$y=\frac{2}{2}$

y=1

Therefore the value of y is 1

Therefore the solution is (2,1)

<h3>Therefore option d) 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations </h3>

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