Answer:
First mechanic worked 20 hours and second mechanic worked 5 hours
Step-by-step explanation:
Let the number of hours the first mechanic worked = 
Let the number of hours the second mechanic worked = 
Therefore, we can write 2 equations and then solve them simultaneously:


Rearranging the first equation: 
and substituting into the second equation to find
:


Now sub
into the first equation to find 

Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours
Answer and explanation:
A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa
An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)
Answer:
Opinion B
Step-by-step explanation:
hope that will help you
A reasonable function is W = 7F + 5000
Where W is the weight of the plane and F is the number of gallons of fuel.
The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).
So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.
The range is the set of values of W.
The minimum value of W is when F = 0 => W = 7(0) + 5000 = 5,000.
The maximum value of W is when F = 400 => W = 7(400) + 5000 = 7,800
So the range is W = [5,000 ; 7,800], pr 5000 ≤ W ≤ 7,800.