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valkas [14]
3 years ago
7

A cave contains 2 brown bats and 3 gray bats. The bats will fly out of the cave one at a time. What is the probability that the

fourth bat will fly out of the cave be gray? Express your answer as a common fraction
Mathematics
1 answer:
Marianna [84]3 years ago
4 0
The answer would be 1/5
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(x^2 - x^(1/2))/(1-x^(1/2))
Levart [38]
\frac { \left( { x }^{ 2 }-{ x }^{ \frac { 1 }{ 2 }  } \right)  }{ \left( 1-{ x }^{ \frac { 1 }{ 2 }  } \right)  }

\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x }  \right)  }{ \left( 1-\sqrt { x }  \right)  } \cdot 1

\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x }  \right)  }{ \left( 1-\sqrt { x }  \right)  } \cdot \frac { \left( 1+\sqrt { x }  \right)  }{ \left( 1+\sqrt { x }  \right)  }

\\ \\ =\frac { { x }^{ 2 }+{ x }^{ 2 }\sqrt { x } -\sqrt { x } -x }{ 1+\sqrt { x } -\sqrt { x } -x }

\\ \\ =\frac { -\sqrt { x } \left( 1-{ x }^{ 2 } \right) -x\left( 1-x \right)  }{ \left( 1-x \right)  }

\\ \\ =\frac { -\sqrt { x } \left( 1+x \right) \left( 1-x \right) -x\left( 1-x \right)  }{ \left( 1-x \right)  }

\\ \\ =\frac { \left( 1-x \right) \left\{ -\sqrt { x } \left( 1+x \right) -x \right\}  }{ \left( 1-x \right)  }

\\ \\ =-\sqrt { x } \left( 1+x \right) -x\\ \\ =-{ x }^{ \frac { 1 }{ 2 }  }\left( 1+{ x }^{ \frac { 2 }{ 2 }  } \right) -x

\\ \\ =-{ x }^{ \frac { 1 }{ 2 }  }-{ x }^{ \frac { 3 }{ 2 }  }-x\\ \\ =-\sqrt { x } -\sqrt { { x }^{ 3 } } -x
3 0
3 years ago
Read 2 more answers
How much does 12 go into 11
Anni [7]
It goes into it 0 times but what you can do is 11 going into 12 which would give you 1.1 instead of you making it a remainder. <span />
6 0
3 years ago
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Simplifying algebraic expressions<br> -8-4m-4m-8+ -3+10m
marissa [1.9K]

-2m-9 is the simplified expression

6 0
3 years ago
Helpppppppppppppppppppppppppppppppppppppppp
Anit [1.1K]

When we have exponents like such (x^-6)^-2 , the numbers are multiplying, so we have x^12, then we take that value and, because it is dividing with the same base, we substract the numbers, so x^12-(-4) = x^16.

5 0
3 years ago
5:2 ratio. The total number of students and teachers was 56. How many students and teachers were there
Anna [14]

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

'

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

5 0
1 year ago
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