Change each improper fraction to a mixed number. 10/4____?
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Answer:
Step-by-step explanation:
There are
2 yellow
3 magenta
5 blue
marbles in the bag.
So total of 2 + 3 + 5 = 10 marbles
We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).
We denote P(Y1) as probability of yellow on first draw &
P(Y2) as probability of yellow on second draw
Thus,
P(Y1) = 2/10 = 1/5 [since 2 yellow and 10 total marbles]
Now,
P(Y2) = 1/9 [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]
Now, we multiply:
P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45
The probability is
Multiplicity is how many times each root repeats
(x-r1) where r1 is the root
root is 1 of multiplicity 2 means
(x-1)^2
root -2 multiplicity 3 means
(x+2)^3
so the function is
(x-1)^2(x+2)^3
f(x)=(x-1)^2(x+2)^3
expanded
f(x)=
(x-1)^2(x+2)^3
(x-r1) where r1 is the root
root is 1 of multiplicity 2 means
(x-1)^2
root -2 multiplicity 3 means
(x+2)^3
so the function is
(x-1)^2(x+2)^3
f(x)=(x-1)^2(x+2)^3
expanded
f(x)=
(x-1)^2(x+2)^3