Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
Answer:
They are perpendicular lines
Step-by-step explanation:
If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."
the opposite of -8 is 8 , and the reciprocal of this is 1/8
Answer:
It is 24 inches
Step-by-step explanation:
Multiply 24 by 8 to get 192. Then multiply 8 by 3 to get you answer.
:)
Answer:
B. 4 and 6 in
Step-by-step explanation:
The triangle inequality rule states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
So for the first qualification, we can eliminate A, C, and D. Therefore the answer is B, 4 & 6 in
To fit the formula, b is the first term, -5, and c is the common ratio, or -2
