If the outliers are not included what is the mean of the data set, 79 79 80 82 50 78 83 79 81 82
1 answer:
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Answer:
Richard is making $9.6 per hour now
Step-by-step explanation:
Given:
Initial amount Richard was earning = $10/hr
Due to lass in productivity 20% pay was cut
Amount Richard was earning after 20% pay cut = $8/hour.
After few again due to increase in productivity Diane gave a 20% raise.
To Find:
How much is Richard making now = ?
Solution:
Let the amount that Richard is making now be x
Then
x = 8+ 20% of 8
x =
x =
x =
x = 9.6
We have been given the expression to be
Since we need to find the tangent at a point, we will have to find the derivative of as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find
We will use the product rule of derivatives to find
Thus, (using the product rule which states that
)
Taking the common factors out we get:
Thus, at
is given by:
=Slope of the tangent of y at x=4=
Thus,
Now, the equation of the tangent line which passes through and has slope m is given by:
Thus, the equation of the tangent line which passes through and has the slope 185 is
Which can be simplified to
Thus,
This is the required equation of the tangent.