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valkas [14]
2 years ago
8

Simplify x - 2 / 7(x-2)^2

Mathematics
1 answer:
VashaNatasha [74]2 years ago
7 0

Answer:

1 / 7 (x - 2)

Step-by-step explanation:

x - 2 / 7(x - 2)^2

= (x - 2) / 7 (x - 2) (x - 2)

= 1 / 7 (x - 2)

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Customers who purchase an aluminum-structured Audi A8 can order an engine in any of three sizes: 2.0L, 2.4L, and 2.8L. Of all Au
sergiy2304 [10]

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.

4 0
4 years ago
A line has a slope of 1/2 and a run = 50. Find the rise of the line. Type a numerical answer in the space provided. If necessary
Vinvika [58]

Answer:

100

Step-by-step explanation:

1/2 = 50/x

(cross multiply)

100 = x

7 0
4 years ago
Which describes the slope of this line?
kipiarov [429]

The line is going down (from left to right), so it has a negative slope

horizontal lines have zero slope

vertical lines have undefined slope

lines going up (from left to right) would have positive slope

This is going down so it is Choice B

8 0
4 years ago
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