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vovangra [49]
3 years ago
8

Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety

in 3 hours. The second door is a trap and brings him back to the mine againafter 5 hours through a tunnel. The third door also is a trap that brings him back to the mine after 7 hoursthrough a tunnel. The miner at all times is equally like to choose any of the doors. (In the darkness he canhardly distinguish the three). What is the expected length of time until he reaches safety
Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:

Expected time is 15 hours for him to get to safety.

Step-by-step explanation:

We define X as the time that this miner would get to safety.

We define Y as the door he chooses initially.

P(Y= 1) = P(Y=2)=P(Y=3) = 1/3

We have E[X|Y=1] = 3

E[X|Y] = 5 hours + E[X}

E[X|Y] = 7 hours + E[X]

Then we have

E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])

We cross multiply

3*E[X] = (15 + 2E[x])

3E[X] - 2E[X] = 15

E[X] = 15

So the time it would take to get him to safety is 15 hours

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pav-90 [236]

Answer: Bottom left corner

Angle DEC and Angle DEH

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Explanation:

I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.

Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.

4 0
3 years ago
Round 564,938 to the nearest 1000 is it 565000
lord [1]

Answer:

YES!

Step-by-step explanation:

564,938 -> 565,000

BRAINLIEST?

4 0
3 years ago
Help plz i will give brainliest
jasenka [17]

Answer:

12

(If needed explanation ask in the comments! ty)

Hope This Helps! •v•

6 0
2 years ago
If you have 12 circles an you shade in3/4 of them, how many circles do you shade?
aleksandrvk [35]
This is a formula if you need one. DON'T forget to cross-multiply

3/4 = x/12


4 0
3 years ago
Simplify this: log√24+ log6​
Kitty [74]

simplifying log\sqrt{24}+log6 we get log(12\sqrt{6})

Step-by-step explanation:

We need to simplify: log\sqrt{24}+log6

Solving:

Applying the rule:

log a + log b = log(ab)

log\sqrt{24}+log6\\=log(6\sqrt{24})\\\sqrt{24} = \sqrt{2*2*2*3} =\sqrt{2^2*6} =\sqrt{2^2} \sqrt{6}=2\sqrt{6}\\  Putting\,\,value:\\=log(6*2\sqrt{6})\\=log(12\sqrt{6})

So, simplifying log\sqrt{24}+log6 we get log(12\sqrt{6})

Keywords: Simplifying Logarithms

Learn more about Simplifying Logarithms at:

  • brainly.com/question/11921476
  • brainly.com/question/10633485
  • brainly.com/question/5758530

#learnwithBrainly

3 0
3 years ago
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