Answer:
A
Step-by-step explanation:
2^2 and 3^2 = 4 + 9 = 13
Given:
Total number of marbles = 15
Probability of randomly selecting a green marble =
.
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble =
.
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.


It is given that,

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is
. So,



Multiply both sides by 75.



Therefore, the number of blue marbles in the bag is 6.
Find the circumference:
Circumference = pi x radius x 2 = 138.16 feet
Linear travel = circumference x rotations
linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet
The value of the missing probability is:
P(A) = 1/5
So the correct option is D.
<h3>How to find the missing probability?</h3>
First, we know that:
P(A∩B) = probability that events A and B are true = 3/100
And we also know that:
P(B|A) = probability that event B is true given that event A is true = 3/20
Here we have the rule:
P(A∩B) = P(B|A)*P(A)
Replacing the first two:
3/100 = (3/20)*P(A)
Solving for P(A), we get:
(3/100)*(20/3) = 1/5 = P(A).
So we conclude that the correct option for the missing probability is the one in option D.
If you want to learn more about probability:
brainly.com/question/25870256
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