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melisa1 [442]
3 years ago
13

(4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) i need help solving

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

\huge \boxed{11x^2 y^3-4xy^2 }

Step-by-step explanation:

(4x^2y^3  + 2xy^2  - 2y) - (-7x^2 y^3  + 6xy^2  -2y)

Distribute the negative sign to the terms in the bracket.

(4x^2y^3  + 2xy^2  - 2y) +7x^2 y^3  - 6xy^2  +2y

Grouping like terms.

(4x^2y^3 +7x^2 y^3) + (2xy^2 - 6xy^2 ) +( - 2y   +2y)

Combining like terms.

(11x^2 y^3) + (-4xy^2 ) +(0)

11x^2 y^3-4xy^2

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A certain circuit board consists of two resistors, green and red. The circuit board manufacturer has two huge bins filled with t
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Answer:

(a) 0.675

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Step-by-step explanation:

P(R) = 90\% = 0.9 (Probability of functional red)

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(a) The probability the board is functional is the probability that the red and the green resistors are functional.

P(\text{board is functional}) = P(R\cap G) = P(R) \times P(G) = 0.9\times0.75 = 0.675

(b) The probability that exactly one of the resistors chosen is functional is the probability that either red is functional and green is not or green is functional and red is not.

P(\text{exactly one is functional}) = P((R\cap \sim G) \cup (G\cap \sim R))

P(\text{exactly one is functional}) = P(R\cap \sim G) + P(G\cap \sim R) = (P(R) \times P(\sim G)) + (P(G) \times P(\sim R))

P(\text{exactly one is functional}) = (0.9 \times 0.25) + (0.75 \times 0.1) = 0.225 + 0.075 = 0.3

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