Answer:
1/45
Step-by-step explanation:
There are 10 marbles
P ( yellow) = yellow marbles / total = 2/10 = 1/5
We do not replace the marble
There are 9 marbles, 1 of which is yellow
P ( yellow) = yellow marbles / total = 1/9
P ( yellow, no replacement, yellow) = 1/5 * 1/9 = 1/45
Answer:
3y^2 - (y + 2) (y - 2) = 0
<=> 3y^2 - (y^2 - 4) = 0
<=> 2y^2 + 4 =0
<=>y^2 + 2 = 0
=> Because y^2 is always equal or larger than 0, there is no real solution.
Hope this helps!
:)
Part A
Given that

Then,

For

, then

Thus,

For

, we have

Part B
Recall that from part A,

Now, at initial position, t = 0 and

, thus we have

and when the velocity drops to half its value,

and

Thus,

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by
LCM - means least common multiple