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Stolb23 [73]
3 years ago
10

Find the value of the following expression below 8(15-4)/4^2-5

Mathematics
1 answer:
Sonja [21]3 years ago
6 0

Answer:

The correct answer is 1/2 or 0.5

Step-by-step explanation:


8(15-4)/4^2-5

8(11)/4^2-5

Now i'm going to multiply 8 by 11

88/4^2-5

Now solve 4^2

Which is 16.

Now we have 88/16-5

Divide 88 and 16 which is 5.5.

Now minus 5.5 - 5 which gets us our answer: 0.5


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rewona [7]
<h3>Answer:  Choice D)  -$22</h3>

You'll lose on average $22 per roll.

====================================================

Explanation:

Normally there is a 1/6 chance to land on any given side of a standard die, but your friend has loaded the die in a way to make it have a 40% chance to land on "1" and an equal chance to land on anything else. Since there's a 40% chance to land on "1", this leaves 100% - 40% = 60% for everything else.  

Let's define two events

  • A = event of landing on "1".
  • B = event of landing on anything else (2 through 6).

So far we know that P(A) = 0.40 and P(B) = 0.60; I'm using the decimal form of each percentage.

The net value of event A, which I'll denote as V(A), is -100 since you pay $100 when event A occurs. So we'll write V(A) = -100. Also, we know that V(B) = 30 and this value is positive because you receive $30 if event B occurs.

To recap things so far, we have the following:

  • P(A) = 0.40
  • P(B) = 0.60
  • V(A) = -100
  • V(B) = 30

Multiply the corresponding probability and net value items together

  • P(A)*V(A) = 0.40*(-100) = -40
  • P(B)*V(B) = 0.60*30 = 18

Then add up those products:

-40+18 = -22

This is the expected value, and it represents the average amount of money you earn for each dice roll. So you'll lose on average about $22. Because the expected value is not zero, this means this game is not mathematically fair.

This does not mean that any single die roll you would lose $22; instead it means that if you played the game say 1000 or 10,000 times, then averaging out the wins and losses will get you close to a loss of $22.

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