What is parallel to 2x-y=1 and contains (4, -6)? Please show your work!

1 answer:

5 0

$k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\\text{We have}\\\\k:\ 2x-y=1\ \ \ |-2x\\-y=-2x+1\ \ \ \ |\cdot(-1)\\y=2x-1\to m_1=2\\\\l:\ y=m_2x+b\\\\l\ ||\ k\iff m_2=2\\\\l:\ y=2x+b\\\\\text{The line l contains (4, -6)}\\\\\text{Put the values of coordinates to the equation of line l}\\\\-6=2(4)+b\\-6=8+b\ \ \ \ \ |-8\\b=-14\\\\Answer:\ y=2x-14\to 2x-y=14$

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Answer:

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Step-by-step explanation:

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3 years ago

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Find the MAD for this set of data.

Nostrana [21]

Answer:

Hence MAD=0.8

Step-by-step explanation:

MAD is also known as Mean Absolute Deviation.

We find MAD by the following steps:

Firstly we find the mean of the data
Then we subtract each entry from the mean to obtain the deviation
Then find the absolute value of the deviation which is also known as absolute deviation.
Finally we find the mean of the absolute deviation.

Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.

The absolute deviation is given as:

1 3 1 0 0 1 0 0 1 1

The mean of this is calculated as:

$\dfrac{1+3+1+0+0+1+0+0+1+1}{10}=\dfrac{8}{10}=0.8$