Answer:
1) , 2) The value of is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Step-by-step explanation:
Let be a rectangle with a length of feet and a width of 3 feet. The area (), measured in square feet, and perimeter (), measured in feet, formulas are, respectively:
(Eq. 1)
(Eq. 2)
1) Now, we assume that , then we reduce the system of linear equation into a sole linear equation:
(Eq. 3)
2) We proceed to solve for :
The value of is 3.
3) Lastly, we obtain the values of the perimeter and area:
The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Answer:
Automated menu
Live agent menu
So then we can conclude that we have lower variation for the Live agent menu since the coefficient of variation is lower compared to the Automated menu
Step-by-step explanation:
We can solve this by case
Automated menu
Data: 11.7 7.4 3.9 2.9 9.2 6.3 5.5
We can begin calculating the mean with the following formula:
And replacing we got:
Now we can calculate the standard deviation with the following formula:
And replacing we got:
Now we can calculate the coeffcient of variation with this formula:
And replacing we got:
Live agent menu
Data: 6.2 2.9 4.4 4.1 3.4 5.2 3.7
We can begin calculating the mean with the following formula:
And replacing we got:
Now we can calculate the standard deviation with the following formula:
And replacing we got:
Now we can calculate the coeffcient of variation with this formula:
And replacing we got:
So then we can conclude that we have lower variation for the Live agent menu since the coefficient of variation is lower compared to the Automated menu
In fact from numbers 10 to 1000
99 are palindromes
Answer:
x = 4
Step-by-step explanation:
We know that M is the mid-point of AB. So,
AM = BM ( A mid point divides a line segment into 2 equal parts. )
Also it's given that length of AM is 20 & length of BM is 3x + 8.
But as AM = BM ,