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Varvara68 [4.7K]
3 years ago
10

What is the product?

Mathematics
2 answers:
Alexxx [7]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Factor out each equation

(x+4)(x-4)/2(x+4)  x(x-1)(x-1)/(x-1)(x+4)

cancel out the similar ones.

leaving you with x(x-4)(x-1)/2(x+4)

Tresset [83]3 years ago
8 0

Answer:

\frac{x(x-4)(x-1)}{2(x+4)}

Step-by-step explanation:

\frac{(x-4)(x+4)x(x^{2}-2x+1) }{2(x+4)(x^{2}+4x-1x-4) } \\= \frac{(x-4)x(x-1)^{2} }{2(x(x+4)-1(x+4))}\\= \frac{(x-4)x(x-1)^{2} }{2(x+4)(x-1)}\\ = \frac{x(x-4)(x-1)}{2(x+4)}

Cancelled (x+4) in the numerator and denominator to arrive at the 2nd step.

Cancelled (x-1) in the numerator and denominator to arrive at the answer.

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Solve −3.5 = x 4 for x using the multiplication property of equality. The operation in the problem is . The inverse operation is
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0.875

Step-by-step explanation:

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To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 oz of red tone, 3/4 oz of gray tone, and 5/8 oz of brown tone
Ad libitum [116K]

Answer:

depending on what your using these are the answers to what I got:

Addition: 2 1/2

Multiplication: 135/256

Division: 2 2/5

Step-by-step explanation:

1 1/8 + 3/4 + 5/8 = 5 /2 = 2 1/2 = 2.5

or

1 1/8 x 3/4 x 5/8 = 135/256 = 0.527

or

1 1/8  ÷ 3/4  ÷ 5/8 = 12/5 = 2 2/5 = 2.4

7 0
2 years ago
At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those c
grandymaker [24]

Answer:

a.)

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b.)

P(B) = P( A₁ ∩ B )  + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c.)

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

Step-by-step explanation:

We are given the following information

40% of the customers use regular gas (A2)

P(A₁) = 0.40

35% use plus gas (A2)

P(A₂) = 0.35

25% use premium (A3)

P(A₃) = 0.25

Of those customers using regular gas, only 20% fill their tanks (event B).

P(B | A₁) = 0.20

Of those customers using plus, 40% fill their tanks

P(B | A₂) = 0.40

Whereas of those using premium, 50% fill their tanks.

P(B | A₃) = 0.5

a) What is the probability that the next customer will request plus gas and fill their tank?

We are asked to find P(A₂ ∩ B) = ?

Recall that Multiplicative law of probability is given by

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b) What is the probability that the next customer fills the tank?

We are asked to find P(B) = ?

P(B) = P( A₁ ∩ B )  + P( A₂ ∩ B ) + P( A₃ ∩ B )

P( A₂ ∩ B ) is already calculated, we need to calculate

P( A₁ ∩ B ) and P( A₃ ∩ B )

So,

P( A₁ ∩ B ) = P(B | A₁) × P(A₁)

P( A₁ ∩ B ) = 0.20 × 0.40

P( A₁ ∩ B ) = 0.08

P( A₃ ∩ B ) = P(B | A₃) × P(A₃)

P( A₃ ∩ B ) = 0.50 × 0.25

P( A₃ ∩ B ) = 0.125

Finally,

P(B) = P( A₁ ∩ B )  + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c) If the next customer fills the tank, what is the probability that the regular gas is requested? Plus? Premium

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

5 0
3 years ago
Please help!! I'll give brainliest and everything else!
FromTheMoon [43]

Answer:

the third one down

Step-by-step explanation:

5 0
3 years ago
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