?

Show from the probability axioms: For any events E1, E2, E3, . . . (even if they are not disjoint) it holds that

P(∪iEi) ≤P sum(P(Ei)).

[Hint: Consider events of form Ai:= Ei \ (∪

i−1, j=1Ej ).]

Im confused as to what the ∪ is doing there because i don't see whats forming a union. Is it just another set of events like E? any help would be very much appreciated

Im 6"2, 18 years old, 185 pounds, male, a size 14 shoe, and a beginner to intermediate park boarder.

I'm looking to get a board for park use only, and i'm wondering what kind of board to get/ how long it should be/ how wide it should be. While I've been snowboarding for 8 years I never learned too much about boards so i'm a little lost shopping online.

Thanks in advance for any help!

Earlier tonight i made a milkshake using vanilla extract. I knew it contained alcohol but it didn't occur to me until afterwards that it might not be ethyl alcohol. I know some extracts use different types of alcohol, some dangerous unless cooked and i was wondering if anyone knew the kind of alcohol McCormick's Pure Vanilla Extract uses?

sin^2 (x) + cos^2 (x) tan^2 (x) + csc^2 (x) +sec^ (x) +cot^2 (x) = 8, solve for X

Im looking for a new anime similar in style to the following

Blue Exorcist

Full Metal Alchemist (original and brotherhood)

Gundam

Death Note

Code Geass

Thanks in advance!

question says it all

Kilogram times meters per second squared

How many are there? what are their titles and years made? which go together in a series and which are remakes of others?

Thanks

Does anyone have a link? or a pdf u can send to mtsnow360@yshoo.com

Does anyone have a link? or a pdf you can send to mtsnow360@yahoo.com

Prove Sin((pi/4)+X)+Cos((pi/4)+X)=(rad2)CosX?

Show all steps please

show all steps please

cosX= -5/13

whats Sin(2x)

Sin(2x)= 2sinXcosX

in radians or degrees

How do i find the inverse of

y= (X + 3) / (2X + 2)

3X^4 + 2X^3 - 192X -128= 0

please show how you got the answer

My girlfriend has a small little collection of marionettes so i wanted to get her one for valentines day but idk what to get. She loves animals and plays soccer so i either wanted to get her one related to one of those things or of two lovers; preferably the latter. Any recommendations int terms of web-sites i can look at or opinions about what kind i should get?

P.S. nothing too expensive i'm 15 so the money isn't mine.

I cant seem to find it; 10 points if you can. Square miles or kilometers is all i need and please site your source.

The law says 21 but clearly thats not the case so im wondering how old you people were when you first tried? do you regret drinking that early/late?

Are the answers up yet? Anyone have a link? If not when will they be up? Im so nervous

Anyone have a link or know where they will be posted first?

Solve the following algebraically

The Volume of a crate is 7776 cubic inches

These are the 3 pieces

.... _______a_____

....|.......................|

.b.|......bottom.......|

....|_____________|

..C|____side______|

This figure has an area of 1080 square inches

....____a________b____

....|.................|............|

C..|....Side.......|...end....|

....|__________|_______|

This figure has an area of 648 square inches

.... ____a________c___

....|...................|...........|

.B.|........top......|....end..|

....|___________|______|

This figure has an area of 864 square inches

What are the measurements of A, B, and C?

i used dots because it would not let me use more than one space.

34 minutes ago - 4 days left to answer.