Answer: y = -2x +3
slope intercept form: y = mx +b
divide everything by 6.
2x = 3 - y
isolate y by subtracting 3 from both sides
2x - 3 = -y
divide by negative 1 to get positive y
-2x +3 = y
Standard deviation is simply the square root of the variance.
We need to get the square root of each variance to see whether its standard deviation is greater than its variance.
A. 0.25 ⇒ √0.25 = 0.50B. 1.75 ⇒ √1.75 = 1.32C. 2.5 ⇒ √2.5 = 1.58D. 1.5 ⇒ √1.5 = 1.22
Among the choices, only A. 0.25 has a standard deviation that is greater than the variance. The standard deviation is 0.50
Answer:
z = -12
Step-by-step explanation:
Rewritting the equations, we have:
x + y = xy (eq1)
2x + 2z = xz (eq2)
3y + 3z = yz (eq3)
From the first equation:
x = y/(y-1) (eq4)
From the third equation:
y = 3z/(z - 3) (eq5)
Using the value of y from (eq5) in (eq4), we have:
x = [3z/(z - 3)] / [3z/(z - 3) - 1]
x = [3z/(z - 3)] / [(3z - z + 3)/(z - 3)]
x = 3z / (2z + 3) (eq6)
Using the value of x from (eq6) in (eq2), we have:
6z / (2z + 3) + 2z = (3z / (2z + 3))*z
(6z + 4z^2 + 6z) / (2z + 3) = 3z^2 / (2z + 3)
12z + 4z^2 = 3z^2
z^2 = -12z
z = -12
Answer:
Step-by-step explanation:
Given
The height of the aquarium is 
The radius of the aquarium is 
Assuming aquarium to be in the shape of a cylinder
So, its volume is 
Insert the values
Thus the volume of the aquarium is .
