<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:
x=2.600
Step-by-step explanation:
2x(x+4)+7+=(x+8)+ 2x(x+1)+12
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-> 2*x*(x+4)+7+-((x+8)+2*x*(x+1)+12)=0
-> ((2x•(x+4))+7)-(((x+8)+2x•(x+1))+12) = 0
-> (2x • (x + 4) + 7) - (2x2 + 3x + 20) = 0
-> 5x - 13 = 0
-> Add 13 to both sides of the equation :
5x = 13
Divide both sides of the equation by 5:
x = 13/5 = 2.600
Please mark as brainliest
Answer:
Step-by-step explanation:
Distribute:
=9t+1+(7)(1)+(7)(9t)
=9t+1+7+63t
Combine Like Terms:
=9t+1+7+63t
=(9t+63t)+(1+7)
=72t+8
Answer:
The van holds 18 students
The bus holds 24 students
Step-by-step explanation:
v = van b = bus
High School A
1v+10b = 258
High School B
8v+5b = 264
Multiply the second equation by -2
-16v - 10b = -528
Add this to the first equation
-16v - 10b = -528
1v+10b = 258
---------------------------
-15v = -270
Divide each side by -15
-15v/-15 = -270/-15
v =18
The van holds 18 students
Now we need to find the number the bus holds
1v+10b = 258
18 + 10b = 258
Subtract 18 from each side
18-18+10b = 258-18
10b=240
Divide each side by 10
10b/10 =240/10
b = 24
The bus holds 24
Answer:
Angle OCB= 35 degrees and Angle BOC= 119
Step-by-step explanation:
ANGLE OCB= 1/2 C (Construction of bisector)
= 1/2 70
= 35
ANGLE OBC= 1/2 B (Construction of bisector)
= 1/2 52
= 26
Therefore, in triangle BOC,
180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB
180= 35+26+ANGLE BOC
180= 61+ANGLE BOC
ANGLE BOC= 180-61
ANGLE BOC= 119
