Algebra
5 marbles, 2 are yellow so p(yellow) = 2/5 because you replace, events are independent (2/5) of the marbles you draw will be yellow (2/5) 150 = 60 yes. B
11
h0 = 30 h1 = .6*30 h2 = .6^22 * 30 h3= .6^3*30 hn = .6^n*30 h10 = .6^10 * 30 = .2
Algebra
6+4+5+3 = 18 3/18 = 1/6 A
Algebra
The coin flipping has nothing to do with the outcome of the dice throw. The events are independent of each other. If you had said for example: "If I throw double sixes, then I will flip a coin", then they events would not be independent.
Algebra
and you would be right. 4 of the 5 cookies in the bag are not chocolate chip.
Math
You really have 38 feet to work with because of the five on each end. each window-space unit takes 11 feat 3 of them take up 33 feet now we can put one last window from 33 to 38 so 4 windows.
math
yes
Pre cal
-x^2 -2xi -1 = 0 x^2 + 2i x +1 = 0 x = [ -2i +/- sqrt ( -4 - 4) ]/2 x = [ -2i +/- 2 i sqrt 2 ] /2 x = 2i (-1 +/- sqrt 2 ) /2 x = (-1 +/- sqrt 2) i
physics
You can use the dot product and/or the cross product dot product: a dot b = |a| |b| cos theta a = 1 i + 0 j + 0 k b = 3 i - 2 j + 4 k |a| = 1 |b| = sqrt(9+4+16) = sqrt 29 a dot b = 3 so sqrt 29 cos theta = 3 cos theta = 3/sqrt 29 theta = 56.1 deg -------------------------- usi...
math
Oh, sorry, I used 100 and not 10 and 120 not 12 answer is 260 for sides without base 360 including base
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