Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
- 5 -x = 2.5 ⇒ x = 5 -2.5 = 2.5
- 5 -x = -2.5 ⇒ x = 5 +2.5 = 7.5
The solutions are x = 2.5 or 7.5.
Prob(first ball being blue) = 6 / (6 + 3 + 3) = 6/12 = 1/2
Prob ( picking a yellow ball) = 3 /12 = 1/4
As the 2 events are independent the probabilities are multiplied
So the answer is 1/2 * 1/4 = 1/8
The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.
Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is
π (radius) (height) = π (1/y)² ∆y = π/y² ∆y
and the volume of a stack of n such disks is

where
is a point sampled from the interval [1, 5].
As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,


Answer:
it's a translation
Step-by-step explanation:
it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.
It’s should be something like negative 7or 8