A given line has the equation 10x + 2y = −2.
2 answers:
Step 1
<u>Find the slope of the given line</u>
we have
Isolate the variable y
Subtract both sides
Divide by both sides
The slope of the given line is
Step 2
Find the equation of the line that is parallel to the given line and passes through the point
we know that
If two lines are parallel. then their slope are equal
In this problem we have
The equation of the line into slope-intercept form is equal to
substitute the values
the equation of the line is
therefore
<u>the answer is</u>
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Answer:
a) $160,000
b) $55,000
c) $332264.804
Step-by-step explanation:
We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.
And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.
a) Value of mean after the change in value is given by;
Original Mean = $70,000
= $70,000 ⇒
= 70,000 * 10 = $700,000
New after change = $700,000 - $100,000 + $1,000,000 = $1600000
Therefore, New mean = = $160,000 .
b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .
c) Original Variance = i.e.
=
Original = (
* (10-1)) + (10 * 70,000) = $3,600,700,000
New = $3,600,700,000 -
= 9.936007 *
New Variance = =
= 1.103999 *
Therefore, standard deviation after change =
= $332264.804 .