The value of x will be 3
From given diagram, triangle ABC and EDC meet at a common vertex C.
So, triangle ABC and EDC both are congruent to each other.
Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.
Therefore,
Simplifying the expression,
We get
(18-x)/x = 25/5
(18-x)/x = 5
18-x = 5x
18-x-5x = 0
18 - 6x = 0
- 6x = -18
x = 3
Hence, the value of x is 3.
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Answer:
a. 0.52 = 52% probability that Linda gives the correct answer to a question.
b. 0.7692 = 76.92% probability that Linda knows the answer
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Supplies the correct answer:
Event B: Knows the answer
A. What is the probability that Linda gives the correct answer to a question?
0.4(knows the answer)
1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So
0.52 = 52% probability that Linda gives the correct answer to a question.
B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?
Intersection of events A and B is knowing the answer and giving the correct answer, which means that
The desired probability is:
0.7692 = 76.92% probability that Linda knows the answer