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In a family of 8 children, what is the probability of the following gender birth:

1-That 4 are boys and 4 girls

8C4 * 0.5^4 * 0.5*^4 = 4C4 * 0.5^8

2-That 3 are boys and 5 girls, or 3 girls and 5 boys(which is the same probability)

8C3 * 0.5^8

3-That 2 are boys and 6 girls, or 2 girls and 6 boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

8C2 * 0.5^8

4-That 1 is a boy and 7 are girls, or 1 girl and 7 boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

8C1 * 0.5^8

5-That all 8 are girls, or all 8 are boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

0.5^8

(x-5)(40-x) = 324

\((x-5)(40-x) = 324\\ -x^2+40x+5x-200=324\\ -x^2+45x-524=0\\ x^2-45x+524=0\\ \)

factor(524) = 2^2*131

ok there is not going to be any integer factors here. 

so you will need to use the quadratic formula or completing the squares method.

I am going to use the web2.0calc to find the answers

x^2-45x+524=0 = {x=-(((sqrt(71)*i-45)/2)), x=((sqrt(71)*i+45)/2)}

mmm  There are no real solutions.

because the discriminant, which is the bit under the square root, is negative.

I can check this by putting the original equation into the web 2 calc

(x-5)(40-x) = 324 = {x=-(((sqrt(71)*i-45)/2)), x=((sqrt(71)*i+45)/2)}

Yep that is the same :)

Hayley what do you want to hunt?  Rabbits?  

We have lots of rabbits in the caravan park I am in. They would make a juicy casserole :)

But they are cute to watch too :)

Thanks Hayley, 

It was brave of you to step up like that, sometimes bullies will turn on the protector, but you are right, most times they will just back off.

You are also right that the emotional support that an action like this offers is invaluable. :)

257 is the nearest whole number

258 is the next (higher) whole number

If you are talking about sales tax, the cost of tax would depend on where you are buying the $97.00 worth of stuff.  in Oregon, where I live, sales tax is 0%.

Khairul orders one set meal at a restaurant which offers a 20% discount. There is a service charge of 10% and GST is at 7%. Given that he pays a total of $23.54, find the marked price of the set meal

Let the set meal price before discount=M, then we have

.8M X 1.07 X 1.10=$23.54

0.9416M=$23.54 divide both sides by .9416

M=$23.54/.9416

M=$25.00 Original price of the set meal before 20% discount.

181

You have to find out what the tax rate is. It is generally quoted as a percentage, such as 5%, 7%, 10%........etc. We don't keep track of various sales taxes in different countries.

257.192810221824 to the next whole number

=257

Solve for x over the real numbers:
1000^x = 0.1

0.1 = 1/10:
1000^x = 1/10

Take the logarithm base 1000 of both sides:
Answer: | x = -1/3

\(1000^x=0.1\)

\((10^3)^x=0.1\)

\(10^(3x)=0.1\)

\(10^(3x)=1/10\)

\(10^(3x)=10^-1\)

\(3x=-1\)

\(x=-1/3\)

1/10*1/1000 = 1/10000

x=1/10000

In a family of 8 children, what is the probability of the following gender birth:

1-That 4 are boys and 4 girls

2-That 3 are boys and 5 girls, or 3 girls and 5 boys(which is the same probability)

3-That 2 are boys and 6 girls, or 2 girls and 6 boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

4-That 1 is a boy and 7 are girls, or 1 girl and 7 boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

5-That all 8 are girls, or all 8 are boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

HERE WE GO:

1- [8!/(4!*4!)] / 2^8 X 100=27.34%

2- [8!/(3!*5!)] / 2^8 X 100=21.875%

3- [8!/(2!*6!)] / 2^8 X 100=10.9375%

4- [8!/(1!*7!)] / 2^8 X 100=3.125%

5- [8!/(0!*8!)] / 2^8 X 100=.390625%

What does 2(5) mean?

I'll let you think things,

Dinner is waiting for me

no! I didnt say for you to leave! I just havnt had a comment yet, So i thought you left

So you wan tme to leave. I see that is just bein a bully

x = -sqrt(5)   y = -2   r = 3

csc = -3/2

cosine = -sqrt(5) /3     sec = [-3sqrt(5)] / 5

tangent = 2/sqrt(5)= [2 sqrt (5)] / 5       cotangent  = sqrt(5) / 2

Don't take my word for it..

But. I THINK.. Its...

25

Are you a Junior, as well?

WOW!! for some reason, i thought it said "round to the next door neighbor"..

Hayley Hayley Hayley....

Did that girl leave??

Not you, Vic :)

ohh.. people stress me out :/