Excluded values are the values that make the denominator 0
Denominator 0 is undefined so we exclude the values that makes the denominator 0
![\frac{1}{x} - \frac{x}{9} =0](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20-%20%5Cfrac%7Bx%7D%7B9%7D%20%3D0)
LCD is 9x
Multiply the first fraction by 9 and second fraction by x
![\frac{1*9}{x*9} - \frac{x*x}{9*x} =0](https://tex.z-dn.net/?f=%5Cfrac%7B1%2A9%7D%7Bx%2A9%7D%20-%20%5Cfrac%7Bx%2Ax%7D%7B9%2Ax%7D%20%3D0)
![\frac{9-x^2}{9x} =0](https://tex.z-dn.net/?f=%5Cfrac%7B9-x%5E2%7D%7B9x%7D%20%3D0)
We have 9x in the denominator
When x=0 the denominator becomes 0
so excluded value is x=0
Answer:
quartile 1 is 39
quartile 2 is 69.5
quartile 3 is 78
the minimum is 37
the maximum is 82
IQR is 39
Step-by-step explanation:
you organize the data so that it’s from least to greatest. quartile 2 would be 69.5 because 67 and 72 were both in the middle. When that happens, you add them both and divide by 2. For the other quartiles you find the middle number of both sections :)
the IQR is just (quartile 3 - quartile 1)
I hope this helped :)
Answer: 68
Step-by-step explanation:
Let x the half of the amount of bill
my payment a
payment of friend b
a= x + 5
b= x + 25% x = x + 1/4 x
Since you and your friend pay the same total, <span>a=<span>b
</span></span>x+5 = x + 1/4 x
5= 1/4 x
x= 5 x4 = 20
the half of the bill is 20