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prisoha [69]
3 years ago
10

15 - 4x = 6 - 3xwhats the answer. ​

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer:9

Step-by-step explanation: First you add the 3x to both sides(the -4x and the -3x) and then you get 15-1x=6. Next you subtract 15 from 15 and 6, so you get -1x=-9. So then you divide both sides by -1 (do -1x over -1 equals -9 over -1). Last you do the dividing and you get x=9.

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Answer:

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Step-by-step explanation:

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

P(\sim R) = 90\% = 1 - 0.9 = 0.1 (Probability of non-functional red)

P(G) = 75\% = 0.75 (Probability of functional green)

P(\sim G) = 1 - P(G) = 1 - 0.75 = 0.25 (Probability of non-functional green)

(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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