45+55=100 180-100=80 that makes y = 80, and vertical angles makes x=80
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➷ Substitute in the values:
6(2) + 3(2)(4)
Now just solve:
12 + 24 = 36
The answer is 36
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Answer:
(a) Shown below.
(b) Shown below.
(c) The probability that a person does not learn Spanish is 0.18.
(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.
Step-by-step explanation:
(a)
Consider the provided data.

Then the probability of not learning Spanish using the respective methods are:

(b)
The Probability Tree representing each of the probabilities mentioned above is attached below.
(c)
Compute the probability that a person does not learn Spanish as follows:


Thus, the probability that a person does not learn Spanish is 0.18.
(d)
Compute the probability that method B was used given that a student learned the Spanish successfully as follows:


Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.
This is most easily done using the expanded form of the expression.
∫(9 -9t +t² -t³)dt = 9t -(9/2)t² +(1/3)t³ -(1/4)t⁴ +c