XYZ Oil Company has consistently lost $8 million each year for the past 7 years. Express the total loss as an integer.
2 answers:
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Answer:
See explaination
Step-by-step explanation:
Refer to attached file for table used in solving mean.
The mean of range is
\bar{R}=\frac{13.3}{20}=0.665
The mean of all six means:
\bar{\bar{x}}=\frac{1907.96}{20}=95.398
(a)
Here sungroup size is 5:
Range chart:
From constant table we have
D_{4}=2.114
So upper control limit:
UCL_{R}=D_{4}\cdot \bar{R}=2.114\cdot 0.665=1.40581
Lower control limit:
LCL_{R}=0.0000
Central limit: \bar{R}=0.665
Since all the range points are with in control limits so this chart shows that process is under control.
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X-bar chart:
From constant table we have
A_{2}=0.577
So upper control limit:
UCL_{\bar{x}}=\bar{\bar{x}}+A_{2}\cdot \bar{R}=95.398+0.577\cdot 0.665=95.78
Lower control limit:
LCL_{\bar{x}}=\bar{\bar{x}}-A_{2}\cdot \bar{R}=95.398-0.577\cdot 0.665=95.01
Central limit: \bar{\bar{x}}=95.398
Sample number 94.82 is not in teh limits of x-bar chart so it seems that process is not in control
For a line with slope m that passes through a point 
, the point-slope form equation is the following.
We have a given slope of 4 and a given point of (7,5). Now, plug in the values.
That is the point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:
Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.
This was our equation. Let's use the distributive property on 4(x-7).
Now, add 5 to both sides of the equation
This the slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)
We have a given slope of 4 and a given point of (7,5). Now, plug in the values.
That is the point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:
Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.
This was our equation. Let's use the distributive property on 4(x-7).
Now, add 5 to both sides of the equation
This the slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)
<h2>Answer:</h2><h3>Last option</h3>
Two variables have a proportional relationship if the ratios are equivalent. In other words, in this type of cases two quantities vary directly with each other, so we can write this in a mathematical language as follows:
Here is the slope of the linear equation defined above. So, verifying that k is constant we have:
One way to prove this is by writing the equation that represents the table. From the two-point intercept form of the equation of a line we have:
So, this implies that the ordered pairs of the last option represent a proportional relationship