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valkas [14]
3 years ago
11

Find the ordered triple of these equations. x + 2y + 2z = 02x + y + z = 3x - 3y - z = 1

Mathematics
1 answer:
klasskru [66]3 years ago
3 0
{x+2y+2z=0
{2x+y+z=3
{x-3y-z=1

{x+2y+2z=0
-
{4x+2y+2z=6
{-3x=-6  → x=2

{-3y-z=-1
+
{y+z=-1
{-2y=-2  → y=1

{2+2+2z=0 → 2z=-4 → z=-2
Final triple is
(2; 1; -2)

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Finding the Median from a Dot Plot
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Answer:

median rainfall for highland storms = 18mm

median rainfall  for lowland storms = 18mm

or

median rainfall  for lowland storms = 17mm if the list of numbers is

2  4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

Step-by-step explanation:

The median is the middle number of a sequence of ordered numbers.

The formula for the median is:

median = (n + 1 )/ 2

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Note: the number that you find with this formula is the position. SO you have to go to the sequence of numbers and find the number that lies in that position.

Highland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

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Lowland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

                = 16/2

                = 8

The median is the number in the 8th position.

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<u>Unclear: if this is the list of numbers: </u>

2  4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

then the median would be:

n = 16

median = (16+1)/2  

             = 17/2

             = 8.5

This means the median lies between the numbers in the 8th and 9th position.

∴ The median is =  (16 + 18)/2

                           = 34/2

                           = 17

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