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Vilka [71]
3 years ago
5

The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the

perimeter is 15 in. How long is the third side? If s represents the length of the second side, which of the following represents the length of the third side?
Mathematics
1 answer:
stepladder [879]3 years ago
8 0
A)4+3+x=15
x=8 so the 2nd side is 8.
b) s-5 is the answer because the 8-5=3.

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Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

p = 0.88*0.7 + 0.2*0.3 = 0.676

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that P(A) = 0.676

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

P(A \cap B) = 0.88*0.7 = 0.616

Then

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112

0.9112 = 91.12% probability that he/she attended classes on Fridays

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