Answer: a) No, b) 0.78, c) No.
Step-by-step explanation:
Since we have given that
P(A) = 0.7
P(B) = 0.2
P(A∩B) = 0.12
(a) Are A and B independent? Explain.
Since P(A).P(B) =
And P(A∩B) = 0.12
P(A∩B) ≠ P(A).P(B)
So, they are not independent.
(b) Compute P(A or B).
(c) Are A and B mutually exclusive? Explain
Since P(A∩B) ≠ 0
So, they are not mutually exclusive.
Hence, a) No, b) 0.78, c) No.
Answer:
15
Step-by-step explanation:
Given that a1 = 6
an = 3 + 2(an-1),
Substitute n = 2 into the formula
a2 = 3 + 2(a1)
a2 = 3 + 2(6)
a2 = 3+12
a2 = 15
Hence the second term of the sequence is 15
Answer:
60/100
Step-by-step explanation:
Hope it helps you in your learning process
Answer:
52.7 g
Step-by-step explanation:
We are given;
- Initial mass of the element is 310 g
- Rate of decay 8.9% per minute
- Time for the decay 19 minutes
We are required to determine the amount of the element that will remain after 19 minutes.
We can use the formula;
New mass = Original mass × (1-r)^n
Where n is the time taken and r is the rate of decay.
Therefore;
Remaining mass = 310 g × (1-0.089)^19
= 52.748 g
= 52.7 g (to the nearest 10th)
Thus, the mass that will remain after 9 minutes will be 52.7 g
Answer: 1 and 4 are correct
Step-by-step explanation: good luck!