He has $2 left because he has $5, which is taken away from $14 leaving him $9 in debt, $8 of his debt is forgotten so he's down to $1 in debt, after he pays off his last dollar, he will have only $2.
Solution :
From the given equation :
E[ E (X|Y) ] = E (X)
a). Then,
E[ E [ X|Y,Z] | Z] = E [ X|Z ]
---- True
E [ E [ X|Y ] | Z ] = E [ X|Z ]
---- False
E [E [X | Y,Z ]] = E [X|Y ]
---- False
b). Th quantity E [ g (X,Y) | Y,Z ] is ,
- A random variable ----- True
- A number ----- False
- A function of (X,Y) ----- False
- A function of (Y,Z) ----- True
- A function of Z only ------- False
let x = orginal price of the shorts
$21 = x(100%-20%) * 1.05
$21 = x(80%) * 1.05
$21 = 0.8x * 1.05
Subtract 1.05 from both sides
$19.95 = 0.8x
Divide 0.8 from both sides
$24.9375 = x
So the orginal price of the shorts are about $24.94
Answer:
x = 65
Step-by-step explanation:
65 degress + 65 degrees + 50 degrees = 180 degrees
The triangle is supplementary. Hope this helps! :)