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V125BC [204]
3 years ago
10

Suppose you just purchased a digital music player and have put 10 tracks on it. After listening to them you decide that you like

3 of the songs. With the random feature on your player, each of the 10 songs is played once in random order. Find the probability that among the first two songs played
(a) You like both of them. Would this be unusual?

(b) You like neither of them.

(c) You like exactly one of them.

(d) Redo (a)-(c) if a song can be replayed before all 10 songs are played.
Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

1/15 percent chance of that happening

Step-by-step explanation:

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Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered
Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

                                                               = 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

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The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

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Answer:

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Answer:

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