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PSYCHO15rus [73]

4 years ago

13

A family has two children. What is the probability that the younger child is a boy, given at least one of the children is a boy?

A. 1 B. 1/2 C. 1/3 D. 2/3

1 answer:

omeli [17]4 years ago

6 0

It is B 1/2 because it's a 1 out of 2 chance

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A pack of 24 cans costs £6. Work out the cost of 5 cans.

VARVARA [1.3K]

<span>24 cans costs £6

6/24 = 0.25 each can

5 * 0.25 = </span><span>£1.25

answer: </span>£1.25 for <span>5 cans</span>

6 0

3 years ago

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consider the gre scores for a random sample of 6 students out of a class of 25: name julia andrew jason cathy jessica robert sco

Thepotemich [5.8K]

Name Score
Julia 650
Andrew 550
Jason 380
Cathy 720
Jessica 710
Robert 550

Point estimate for the mean score:
Sample mean = sum of all observations / number of observations

sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6
sample mean = 593.33

The point estimate for the mean score is 593.33

6 0

3 years ago

An=an-1+6an-2 <br> n>2 a0=3 a1=6

Svetach [21]

$\begin{cases}a_0=3\\a_1=6\\a_n=a_{n-1}+6a_{n-2}&\text{for }n>2\end{cases}$

Let the generating function for $a_n$ be

$A(x)=\displaystyle\sum_{n\ge0}a_nx^n$

Multiplying both sides by $x^{n-2}$

$a_nx^{n-2}=a_{n-1}x^{n-2}+6a_{n-2}x^{n-2}$

Summing both sides over the non-negative integers greater than or equal to 2 gives

$\displaystyle\sum_{n\ge2}a_nx^{n-2}=\sum_{n\ge2}a_{n-1}x^{n-2}+6\sum_{n\ge2}a_{n-2}x^{n-2}$
$\displaystyle\frac1{x^2}\sum_{n\ge2}a_nx^n=\frac1x\sum_{n\ge1}a_nx^n+6\sum_{n\ge0}a_nx^n$
$\displaystyle\frac1{x^2}\left(\sum_{n\ge0}a_nx^n-a_0-a_1x\right)=\frac1x\left(\sum_{n\ge0}a_nx^n-a_0\right)+6\sum_{n\ge0}a_nx^n$
$\displaystyle\frac1{x^2}\left(A(x)-3-6x\right)=\frac1x\left(A(x)-3\right)+6A(x)$
$A(x)=\dfrac{3x+3}{1-x-6x^2}$
$A(x)=\dfrac3{5(1+2x)}+\dfrac{12}{5(1-3x)}$

For $|x|$ , the two series converge to

$\displaystyle A(x)=\frac35\sum_{n\ge0}(-2x)^n+\frac{12}5\sum_{n\ge0}(3x)^n$
$\implies A(x)=\displaystyle\sum_{n\ge0}\dfrac{3(-2)^n+12(3)^n}5x^n$
$a_n=\dfrac{3(-2)^n+12(3)^n}5=\dfrac{3(-2)^n+4(3)^{n+1}}5$

5 0

3 years ago

Plz help ASAP thanks! <br><br><br> Image^^

Reptile [31]

The answer to this question is B.

6 0

3 years ago

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A culture is started with 50,000 bacteria. The table shows the number of bacteria remaining after an antibiotic is added.

strojnjashka [21]

I think the answer is B.

4 0

4 years ago

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