volume of sphere = volume of cylinder
\(\frac43\,*\,\pi\,*\,6^3=\pi\,*\,6^2\,*\,h \\~\\ \frac43\pi\,*\,216=36\pi\,*\,h \\~\\ 288\pi=36\pi\,*\,h \\~\\ \frac{288\pi}{36\pi}=h \\~\\ 8\,\text{meters}=h\)
Assume there are g number of girls. So we have a total of: g+3 children. The newly-born child has a 50% chance of being a boy, in which case will have: g+4 children. It also has a 50% chance of being a girl, in which case will have: g+1+3=g+4 children.
Then the probability of selecting a boy and the newly-born child is a boy is: 4/[g+4]*1/2. The probability of selecting a boy and the newly-born child is a girl is: 3/[g+4]*1/2. Then the probability of selecting a boy =4/[g+4]*1/2 + 3/[g+4]*1/2 =3.5/[g+4].
Finally, the probability of being born a boy, given the probability of selecting a boy(calculated above) is: {4/[g+4]*1/2} / {3.5/[g+4]} =2/3.5 =4/7.
According to our teacher, the answer is 4/7, not 1/2 but have no idea how he gets that.
0.50
Some background: i2 = -1 i4 = 1 i8 = (i4) · (i4) = 1 · 1 = 1
8 · (i-6)
Multiply by i8 (which is just 1): 8 · (i-6) · i8 = 8 · i2 = 8 · -1 = -8
Mine goes by the username "toon.exe"
675 / 5 = 135 135 / 5 = 27 27 / 3 = 9 9 / 3 = 3 3 / 3 = 1 ___ SO ____
5 * 5 * 3 * 3 * 3 = 675 52 * 33 = 675
I AGREE WITH YOU, HECTIAR
85 + 30(2) = $ 145
Yes, you are right guest!
I know how to delete the answers now!
Hahaha! I never heard that one before!
Uh oh! There's been a recent crime scene!
2, 3, 5, 7, 11, and 13 are the prime suspects!
Dear Algebra,
Stop asking us to find your x. She doesn't want to talk to you.
Umm.. good!
How R U?
I agree!You could make an account by clicking REGISTER then making an account
here are the benifits:
1) It's absolutely free 2) You can add attachments 3) Once you have made a post you can edit it if you are a member 4) You can also delete your post so long as no-one has answered you yet 5) No-one else can use your username 6) The moderators can can tell if you are or are not a member. If time is very limited, members will be given priority 7) You can send and receive private messages to and from other people
how to simplify tan2 x - sin2x to tan2x * sin2x
tan2 x - sin2x
= sin2x / cos2x - sin2x cos2x / cos2x
= [ sin2x - sin2x cos2x ] / cos2x
= [ sin2x ( 1 - cos2x ) ] / cos2x
= [ sin2x (sin2x) ] / cos2x
= sin2x / cos2x * sin2x
= tan2x * sin2x
//+//=\\\\
2+2=4 :)
an opinion without 3.14159265358979323 is just an onion
Your question, as posed, doesn't make sense. What is $2,975.30? Is it the monthly payment? How about the interest rate, or the amount of the mortgage? What interest rate do you have in mind?.....etc. If it is a monthly payment, it would stay the same on a 25-year mortgage, if the interest rate was the same!!. The price of the house might go up in 5 years' time, depending on a number of economic conditions, such as full employment and healthy annual growth in the economy...etc. But, it might go down if the economy was in severe recession and had high unemployment and non-existing growth in the overall economy...etc.
It is invalid because your "cos" must between +1 and -1. That is the reason.
