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Vlad1618 [11]
3 years ago
10

A claw arcade machine contains stuffed animals and mystery boxes. There are 84 items in the machine. Winning a stuffed animal ha

s twice as many favorable outcomes as winning a mystery box. How many of each item is in the machine?
Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

Answer:

There are 56 stuffed animals and 28 mystery boxes in the claw arcade machine

Step-by-step explanation:

Firstly, we assign variables.

Let the number of stuffed animals be x and the number of mystery boxes be y

The probability of selecting a stuffed animal is x/84 while the probability is selecting a mystery box is y/84

Now, since the total probability can be 1:

This means that

x/84 + y/84 = 1 •••••••(i)

Now from the question, we were told that the probability of selecting or winning a stuffed animal is twice that of winning a mystery box

Thus x/84 = 2 * y/84

X/84 = y/42

Let’s substitute this into equation 1

y/42 + y/84 = 1

(2y+ y)/84 = 1

3y/84 = 1

3y = 84

y = 84/3

y = 28

Since x + y = 84

x = 84 - y

x = 84-28 = 56

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in any given year a factory has a 10% probability of having a serious accident. about every how many years might the factory exp
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<u>Given:</u>

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Answer:

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Step-by-step explanation:

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The compound interest formula is given by:

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In this problem, we have that:

A is the amount the student will have to reimburse two years later.

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The bank loans this money at a rate of 9 % capitalized monthly. This means that r = 0.09 and n = 12, since the money is compounded monthly, this means, 12 times in a year.

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