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ipn [44]
3 years ago
6

A triangle has sides of lengthschool 24, 143 and 145. is it a right triangle?

Mathematics
1 answer:
Simora [160]3 years ago
6 0
Yes it is a right triangle because the 2 smaller sides are bigger than the biggest one

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Answer:

The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.

Step-by-step explanation:

Let's denote event as follows:

<em>A</em> = an Audi A8 car has a 2.0L engine.

<em>B</em> = an Audi A8 car has a 2.4L engine.

<em>C</em> = an Audi A8 car has a 2.8L engine.

<em>X</em> = an Audi A8 car failed emissions test taken within four years of purchase.

The information provided is:

P(A)=0.45\\P(B)=0.35\\P(C)=0.20\\P(X|A)=0.10\\P(X|B)=0.12\\P(X|C)=0.15

The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

Compute the probability of an Audi A*8 car failed emissions test taken within four years of purchase as follows:

P(X)=P(X|A)P(A)+P(X|B)P(B)+P(X|C)P(C)\\=(0.45\times0.10)+(0.35\times0.12)+(0.20\times0.15)\\=0.117

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}=\frac{0.35\times0.12}{0.117} =0.3589

Thus, the probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.

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