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const2013 [10]
4 years ago
9

Amy has 3 children, and she is expecting another baby soon. Her first three children are girls. What is the probability that the

fourth baby is another girl?
A)
0


B)
0.06


C)
0.25
Eliminate

D)
0.5
Mathematics
2 answers:
Finger [1]4 years ago
8 0

Answer:

B) 0.06

Step-by-step explanation:

This will make the fourth child; we want the probability that all 4 children are girls.

The probability of having a girl with each child is independent; this means that having 1 girl does not affect your chances of having another girl.

This means the probabilities can be multiplied:

0.5(0.5)(0.5)(0.5) = 0.0625

alukav5142 [94]4 years ago
7 0

Answer:

D

Step-by-step explanation:

Just like heads or tails boy or girl 50 50 chance

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
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Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
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