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ZanzabumX [31]
3 years ago
14

Which events are independent? Check all that apply. rolling two number cubes at the same time choosing a card, and then flipping

a coin choosing a first, second, and third place winner drawing a name from a hat, keeping it, then drawing another name drawing a marble from a bag, replacing it, then drawing another marble flipping the same coin three times
Mathematics
2 answers:
klemol [59]3 years ago
7 0

Independent events are such events where the occurrence of any one event does not affect the occurrence of any other event.

<u>Part A:</u> rolling two number cubes at same time does not affect outcome of any one cube. It would be Independent events.

<u>Part B:</u> choosing a card, then flipping a coin according to favourable outcome can affect the result. It would be dependent events.

<u>Part C:</u> choosing a winner, keeping it, then choosing another name depends upon remaining persons. It would be dependent events.

<u>Part D:</u> drawing a marble, replacing it, then drawing another marble does not affect number of marbles in the bag. It would be Independent events.

<u>Part E:</u> flipping any coin three times does not affect past or future outcomes. It would be Independent events.

Hence, options A, D, and E are Independent events.

Artyom0805 [142]3 years ago
6 0

Answer:

1.rolling two number cubes at the same time

2.choosing a card, and then flipping a coin

5.drawing a marble from a bag, replacing it, then drawing another marble

6.flipping the same coin three times

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Answer:

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Step-by-step explanation:

we know that

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I=P(rt)

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Let

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in this problem we have

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I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

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0.0125x=150

x=\$12,000

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therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

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