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s344n2d4d5 [400]
3 years ago
9

it takes Joey 1/6 of an hour write one thank you card. how many cards can he write in 3/4 of an hour?

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
1/6 of an hour is equivalent to 10/60 or 10 minutes.
To find out how much 3/4 of an hour is, change the denominator of both fraction so that they match up. We can make this easier by multiplying 4 by 15 to get 60 (hence an hour) and since we multiplied 4 by 15, we also need to multiply 3 by 15 which gets us 45.
We end up with 10/60 and 45/60 or 10 minutes and 45 minutes.
Half of 10 is 5 so we know we'll have a decimal of .5 in our answer.
4 times 10 equals 40 and 40 plus 5 equals 45, so 4.5.
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Answer: The expected value of this game is 2/3

Step-by-step explanation:

Give that

If it's black, you lose a point. If it's red, you gain a point. 

And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.

Assuming you should stop after three cards when you are +2.

The only question is whether to draw if you are +1 on the first draw.

If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points

1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.

From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3

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3 years ago
Help please x+y=6 and x-y=4 solve for X
fredd [130]
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See the picture attached to better understand the problem

we know that
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3 years ago
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