Answer:
K would equal to:
K= 50
Hope that helps! :)
Step-by-step explanation:
Use A' for A complement, etc. and n = intersection ∩.
n(A' n B')
=n(A u B)' by the de Morgan's law
=nU-n(nA+nB-n(AnB)) n(A u B) = nA + nB - n(AnB) and nX'=nU-nX
=400-(135+80-60)
=400-155
=245
There is this specific ratio for 45-45-90 triangles where the length of the hypotenuse is radical 2 times as long as a leg. With this in mind, we can create an equation where the length of one leg is represented with the variable x.
x

= 10
divide both sides by
x = 10

/
x = 10

/2
x = 5
The length of one leg is 5
In order to find the probability of both marbles being drawn being the same colour, the probability of each marble being drawn has to first be found and then multiply both probability to find the probability of two orange marble being drawn consecutively.
Now, the probability of drawing an orange marble = ⁴/₉
since a marble has been removed and wasn't replaced then there are now 5 pink + 3 orange marbles (8 marbles in total) in the bag.
∴ the probability of the second marble drawn being orange = ³/₈
⇒ the probability of <span>two orange marbles in a row without the first being replaced = </span>⁴/₉<span> </span>× ³/₈ = ¹/₆
I am pretty sure this is right