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Firdavs [7]
3 years ago
7

Think about how to use the interactive tool to form an expression equivalent to -x + (-3x) + 12 -9.

Mathematics
2 answers:
irga5000 [103]3 years ago
5 0

Answer:

x= 3/4 or .75

Step-by-step explanation:

Add -x and -3x and get -4x

Subtract the 9 from 12 and get 3

Set -4x=-3

-4x/-4=-3/-4

x=3/4

Gnom [1K]3 years ago
3 0

an equivalent expression is...

-4x+3

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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
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7 0
3 years ago
What is the smallest number with three different prime factors which is not a multiple of 3 or 5?
weeeeeb [17]
Primes are
2,3,5,7,11,13...
ok, so it must be multiplule of 2,7 and 11
2*7*11=154

answer is 154

4 0
3 years ago
Find one value of x that is a solution to the
maksim [4K]

Answer: x = {+-sqrt(3), +-2*sqrt(3)}.

Step-by-step explanation:

(x^2 - 8)^2 + (x^2 - 8) = 20

▪︎ Let (x^2 - 8) be y.

Then,

y^2 + y = 20

y^2 + y - 20 = 0

D = b^2 - 4ac = 1 + 20*4 = 81 = 9^2

y1 = (-b - sqrt(D))/(2a) = (-1 - 9)/2 = -10/2 = -5

y2 = (-b + sqrt(D))/(2a) = (-1 + 9)/2 = 8/2 = 4

1) x^2 - 8 = -5

x^2 = 8 - 5

x^2 = 3

x = +-sqrt(3)

2) x^2 - 8 = 4

x^2 = 8 + 4

x^2 = 12

x = +-sqrt(12)

x = +-2*sqrt(3)

7 0
2 years ago
There was a country concert held at the park. For every 3 men there were 2 women that went to the concert. If 25 total people at
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Answer:

15 men and 10 women attended

Step-by-step explanation:

6 0
3 years ago
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