Answer: 5.04 < 5.4
Step-by-step explanation:
Answer:
For this case if the two events described are independent we need to satisfy:
1)
Since by definition of independence the event shower gel is not dependent of the event scented
We also need to have that:
And the second condition that we need to satisfy is :
2)
The product of the individual probabilities represent the intersection of the two events
If we satisfy the conditions described above then we can consider the events "shower gel" and "scented" as independent events.
Step-by-step explanation:
For this case if the two events described are independent we need to satisfy:
1)
Since by definition of independence the event shower gel is not dependent of the event scented
We also need to have that:
And the second condition that we need to satisfy is :
2)
The product of the individual probabilities represent the intersection of the two events
If we satisfy the conditions described above then we can consider the events "shower gel" and "scented" as independent events.
You have to use implicit derivative
dy / dx = y'
xy^3+y=3x
y^3 + 3xy^2 y' + y' = 3
[3xy^2 + 1) y'= 3 - y^3
3 - y^3
y' = ----------------- <-----------answer
3xy^2 + 1
Answer:
The perimeter of the room is 60 feet.
Step-by-step explanation:
If the area of the room is 224 square feet, and one side is 14 feet, then the other side is 224/14 feet, or 16 feet.
This gives us the dimensions of the room, 14 x 16.
From this, we can calculate the perimeter, which would be 2(14+16), or 60.
Let me know if this helps!
Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r =
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r =
=
=
= ⇒ r² = ( )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle