3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2
Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2
Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10
Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2
Answer:
There is no diagram for me to look at i dont know how to answer this if this does not have the diagram thank you very much
Step-by-step explanation:
There are 14 nickels and 7 dimes.
(You can check by multiplying 14 by 5 for nickels and 7 times 10 for dimes. This would add up to 1.35)
Step-by-step explanation:
Since the first coordinates are both (0,0) it implies that the line passes through the origin.
The slope of the line is therefore 5/8
The equation:
y-0=5/8(x-0)
y=5/8x
Answer:
![E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%2023.4%2A%200.67%20-11.9%2A0.33%3D%2011.759%20%5C%25)
Now we can find the second central moment with this formula:
![E(X^2) = \sum_{i=1}^n X^2_i P(X_i)](https://tex.z-dn.net/?f=%20E%28X%5E2%29%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20X%5E2_i%20P%28X_i%29%20)
And replacing we got:
![E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965](https://tex.z-dn.net/?f=E%28X%5E2%29%20%3D%20%2823.4%29%5E2%2A%200.67%20%2B%28-11.9%29%5E2%2A0.33%3D%20413.5965)
And the variance is given by:
![Var(X) = E(X^2) - [E(X)]^2](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%20%5BE%28X%29%5D%5E2)
And replacing we got:
![Var(X) = 413.5965 -(11.759)^2 =275.5105](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20413.5965%20-%2811.759%29%5E2%20%3D275.5105)
And finally the deviation would be:
![Sd(X) = \sqrt{275.5105}= 16.599 \%](https://tex.z-dn.net/?f=%20Sd%28X%29%20%3D%20%5Csqrt%7B275.5105%7D%3D%2016.599%20%5C%25)
Step-by-step explanation:
We can define the random variable of interest X as the return from a stock and we know the following conditions:
represent the result if the economy improves
represent the result if we have a recession
We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:
![E(X) = \sum_{i=1}^n X_i P(X_i)](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20X_i%20P%28X_i%29%20)
And replacing the data given we got:
![E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%2023.4%2A%200.67%20-11.9%2A0.33%3D%2011.759%20%5C%25)
Now we can find the second central moment with this formula:
![E(X^2) = \sum_{i=1}^n X^2_i P(X_i)](https://tex.z-dn.net/?f=%20E%28X%5E2%29%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20X%5E2_i%20P%28X_i%29%20)
And replacing we got:
![E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965](https://tex.z-dn.net/?f=E%28X%5E2%29%20%3D%20%2823.4%29%5E2%2A%200.67%20%2B%28-11.9%29%5E2%2A0.33%3D%20413.5965)
And the variance is given by:
![Var(X) = E(X^2) - [E(X)]^2](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%20%5BE%28X%29%5D%5E2)
And replacing we got:
![Var(X) = 413.5965 -(11.759)^2 =275.5105](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20413.5965%20-%2811.759%29%5E2%20%3D275.5105)
And finally the deviation would be:
![Sd(X) = \sqrt{275.5105}= 16.599 \%](https://tex.z-dn.net/?f=%20Sd%28X%29%20%3D%20%5Csqrt%7B275.5105%7D%3D%2016.599%20%5C%25)