<span>2/3 probability of drawing a green marble on the second draw.
If the marbles are replaced after each draw, the probability will always be 2/3 of a green marble being drawn. But for this problem, going to assume that the marbles are not replaced after each draw. So we have 2 possible scenarios.
1. The first marble drawn is green
This even happens with probability of 2/3 and leaves you with 7 green marbles and 4 blue marbles. So the probability of picking a green marble again is 7/11.
2. The first marble drawn is blue
This event happens with probability of 1/3 and leaves you with 8 green marbles and 3 blue marbles. So the probability of picking a green marble this time is 8/11
The total probability of picking a green marble on the 2nd pick is the sum of the product of each probability. So
2/3 * 7/11 + 1/3 * 8/11 = 14/33 + 8/33 = 22/33 = 2/3</span>
Answer: 
Step-by-step explanation:
You can substitute the value "-3" for x and "-1" for y in each of the equations given. Whichever equation is correct when simplified is the line that the point (-3, -1) lies on:
Simplifying the right side of each equation:
First equation: -1 = 6
Second equation: -1 = 0
Third equation: -1 = -1
Fourth equation: -1 = -16
The correct answer is "".
Answer: A. 184.8ft2
Step-by-step explanation:
The pyramid is made up of four sides that are rectangular, each side has a height of 12.4ft and base length of 6ft.
The base area is a square of 6ft by 6ft.
For the sides, area of a triangle is 1/2 x base x height
= 1/2 x 6 x 12.4 = 37.2m2
For the four triangles = 4 x 37.2 = 148.8m2
For the square base, area is 6 x 6 = 36m2
Total surface area = 148.8 + 36 = 184.8ft2
He can make 15 chess boards.
All you need to do is multiply 3 by 5.
Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:
... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8
