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umka2103 [35]
3 years ago
7

Three friends share 2 bags of trail mix equally. What fraction of a bag of trail mix does each friend get?​

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

I think that each friend would get 1.5/ 1  1/2.

Step-by-step explanation:

3 divided by 2 equals 1.5

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A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa
Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = \frac{12!}{3! 3! 3! 3!}

Now,

The Total number of ways in which Remaining cards are distributed = \frac{40!}{10! 10! 10! 10!}

So,

Total number of ways of getting 3 picture card and remaining card = \frac{12!}{3! 3! 3! 3!}× \frac{40!}{10! 10! 10! 10!}

= \frac{12! 40!}{(3!)^{4} (10!)^{4}  }

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = \frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }

∴ The probability = \frac{\frac{12! 40!}{(3!)^{4} (10!)^{4}  }}{\frac{52!}{(13!)^{4} }}

                            = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13!)^{4} }{ 52! }

                           = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }

                           = \frac{12!}{(3!)^{4}   }×\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = \frac{479,001,600}{(6)^{4}   }×\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0
3 years ago
The table below shows the outputs y for different inputs x:
Bond [772]
A.    this is not a function because x=1 has 2 outputs So does x=3

B . f(120) = 20 + 10*120 = 1220

This is the cost in dollars of renting a boat for 120 hours.


7 0
3 years ago
Construct a truth table for (p ˄ ⌐q) ↔ (p ˄ q). Explain how this truth table shows whether this statement is a tautology, and co
lara [203]

It's contingency, because for some values of p and q it's true, and for the other values, it's false.

4 0
4 years ago
8 x (5 - 2) = ( _ x 5) - ( _ x 2)
Kobotan [32]

Answer:

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Step-by-step explanation:

8 x (5 - 2) = ( _ x 5) - ( _ x 2)

Distribute

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

5 0
3 years ago
Evaluate the expression when m=6 and n=7
Brilliant_brown [7]
First, we need an equation to solve this.
4 0
4 years ago
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