Answer:
The system of equations representing the situation are
![600a+1200p = 15,000](https://tex.z-dn.net/?f=600a%2B1200p%20%3D%2015%2C000)
![a+p = 16](https://tex.z-dn.net/?f=a%2Bp%20%3D%2016)
with solutions
![p =9](https://tex.z-dn.net/?f=p%20%3D9)
![a = 7](https://tex.z-dn.net/?f=a%20%3D%207)
Step-by-step explanation:
Let us call
the number of associates and
the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have
.
Since the law firm assigned at total of 16 lawyers, we have
.
Thus, the system of equations representing the situation are
![600a+1200p = 15,000](https://tex.z-dn.net/?f=600a%2B1200p%20%3D%2015%2C000)
![a+p = 16](https://tex.z-dn.net/?f=a%2Bp%20%3D%2016)
And the solution to this system is found by solving for
in the second equation and substituting its value in the first equation:
![a = 16-p](https://tex.z-dn.net/?f=a%20%3D%2016-p)
![600(16-p)+1200p = 15,000](https://tex.z-dn.net/?f=600%2816-p%29%2B1200p%20%3D%2015%2C000)
![9600-600p+1200p=15,000](https://tex.z-dn.net/?f=9600-600p%2B1200p%3D15%2C000)
![9600+600p=15,000](https://tex.z-dn.net/?f=9600%2B600p%3D15%2C000)
![600p=5400](https://tex.z-dn.net/?f=600p%3D5400)
![\boxed{ p=9}](https://tex.z-dn.net/?f=%5Cboxed%7B%20p%3D9%7D)
We put this value into
and solve for ![a:](https://tex.z-dn.net/?f=a%3A)
![a+9=16](https://tex.z-dn.net/?f=a%2B9%3D16)
![\boxed{a = 7}](https://tex.z-dn.net/?f=%5Cboxed%7Ba%20%3D%207%7D)
The answer to this question is y=3, x=2
I hope this helps!!!!!!!!
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To find an outlier, multiply the IQR by 1.5
172,500 * 1.5 = 258,750
now, u add that to Q3.....545,000 + 258,750 = 803,750....anything above this number is an outlier
now,u subtract that from Q1....372,500 - 258,750 = 113,750....anything below that is an outlier
u have already done this...u have found the higher end and the lower end....so anyting larger then the higher end or lower then the lower end is ur outlier
so in ur data, there is only 1 outlier and that is 933.....130 is not an outlier because it is not less then 113,750.