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Semenov [28]
2 years ago
8

Spike is not a terribly bright student. His chances of passing chemistry are 0.35; mathematics, 0.40; and both, 0.12. Are the ev

ents "Spike passes chemistry" and "Spike passes mathematics" independent? What is the probability that he fails both subjects?
Mathematics
1 answer:
Feliz [49]2 years ago
8 0

Answer:

The events "Spike passes chemistry" and "Spike passes mathematics" are not independent.

The probability that he fails both subjects = 0.37

Step-by-step explanation:

The probability of Spike passing Chemistry = P(Chemistry) = 0.35

The probability of Spike passing Mathematics = P(Mathematics) = 0.40

The probability of Spike passing both Chemistry and Mathematics = P(Chemistry,Mathematics) = 0.12

For the events "Spike passes chemistry" and "Spike passes mathematics" to be independent, P(Chemistry,Mathematics) should be equal to P(Chemistry) * P(Mathematics)

But P(Chemistry) * P(Mathematics)=0.35*0.40 =0.14

So the two events are not independent.

The Probability that he passes Chemistry or Mathematics is given by P(Chemistry) + P(Mathematics) - P(Chemistry,Mathematics)

= 0.35+0.40-0.12=0.63

So the probability that he fails both subjects is the complement of this, namely (1 - 0.63) = 0.37

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777dan777 [17]

Answer: t1 = -34; t2 = -64; t3 = -94

d is the distance between numbers (d > 0)

we have:

t5 = t1 + 4d = -154

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we have the equations:

t1 + 4d = -154

t1 + 8d = -274

<=> t1 = -34

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with t1 = -34 and = -30 => t2 = -34 - 30 = -64

                                          t3 = -64 - 30 = -94

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

2√20 × 4√6

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Step-by-step explanation:

so, the radius of the smaller saw is 1.25 and the diameter is double the radius. so it is 2.5 in diameter. the larger saw is 1.5 in greater which is 4 in.

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