Answer:
59.4053869611
Step-by-step explanation:
...................
We're given the following probabilities:
(a) Yes, 
and 
are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.
(b) Use the definition of conditional probability to expand:
(c) By the law of total probability,
(d) Bayes' theorem says
Answer:
The probability is 0.95
Step-by-step explanation:
In this question, we are interested in calculating the probability that a randomly selected student of the university recycles at least some of the times
Mathematically, the probability that student recycles at least some of time = 1 - probability that the student never recycles all the time
From the question, the probability that the student never recycles all the time = 0.05
Substituting this into the equation given above;
Probability that a randomly selected student at the university recycles at least some of the time = 1-0.05 = 0.95
Answer: A
Step-by-step explanation:
The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.
#2: Her earnings were no more than $64. Let e represent her earnings. E is less than or equal to 64 (since it says no more than $64).
e ≤ 64.
#4: A checking account was no more than $500. Let a represent the amount in the checking account. A is less than or equal to 500.
a ≤ 500.
#5: Max. ceiling height of 8 ft is required. Let f represent length in feet. Length in feet has to be less than or equal to 8.
f ≤ 8.
#6: Min. number of 12 participants required. Let n represent the number of participants. There has to be at LEAST 12 participants. So, the number of participants has to be greater than or equal to 12.
n ≥ 12.
