Step-by-step explanation:
to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2
Answer: y = x^2 + 6x+ 9 = 0. (X+3)^2= 0 when x=3. This has one root.
X^2-2x -24 = 0 a= 1 b=-1 and c= -24 x = {-(-1) +/- sqrt((-1)^2 -4 x 1 x (-24)}/2
X = [1 +/- sqrt(97)]/2
Step-by-step explanation:
Graph the feasible region for the following constraints: x + y < 5. 2x + y > 4 ... y = 10/3. x = 30/3 - 10/3 = 20/3. Intersects at (20/3, 10/3). -x + 2y = 0. x - 2y = 0.
hence i would go for
<span>(6,3)</span>
So,
The probability of drawing a yellow marble is

.
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same:

.
The probability of drawing a red marble is

.
In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

Because the order of the marbles doesn't matter, we will multiply the probability by 3.