Answer:
8/11.
Step-by-step explanation:
There are a total of 11 balls.
At least one of those picked is green means that 1 or 2 green balls are picked in the two trials.
Prob (First one picked is green) = 5/11.
Prob( second one picked is green) = 4/10 = 2/5.
Therefore Prob ( Green then green) = 5/11 * 2/5 = 10/55 = 2/11.
The other possibilities are Green then Yellow OR Yellow then Green.
The probabilities of these are worked out as above and come to
5/11 * 6/10 and 6/11 * 5/10
= 300/110 and 30/110
= 3/11 and 3/11.
Finally the Prob ( 2G OR G&Y OR Y&G) = 2/11 + 3/11 + 3/11
= 8/11.
I just realised there is an easier way to do this. Much less work.
The only other thing that can happen other than ' at least one green' is '2 yellows' so the required probability is
1 - prob(2 yellows)
= 1 - (6/11 * 5/10)
= 1 - 30 /110)
= 1 - 3/11
= 8/11.
But never mind. I hope the above is instructive and helps you understand.
By De Moivre's formula, the <em>cubic</em> roots of the <em>complex</em> number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.
<h3>How to find the cube root of a complex number</h3>
Herein we have a <em>complex</em> number in <em>rectangular</em> form, from which we need its magnitude (r) and direction (θ) and the De Moivre's formula as well. The <em>root</em> formula is introduced below:
, for k ∈ {0, 1, ..., n - 1} (1)
Where n is the grade of the complex root.
The magnitude and direction of the <em>complex</em> number are 125 and 0.886π radians, respectively. Thus, by the De Moivre's formula we obtain the following three solutions:
k = 0
z₁ = 2.997 + i 4.002
k = 1
z₂ = - 4.964 + i 0.595
k = 2
z₃ = 1.967 - i 4.597
By De Moivre's formula, the <em>cubic</em> roots of the <em>complex</em> number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.
To learn more on complex numbers: brainly.com/question/10251853
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We can write the question as this equation :
Where x is the distance in kilometers, so to find x:
X= 6.7*3*10^5 = 20.1*10^5 km
Answer:
-45
Step-by-step explanation:
simply 5(9) but since 5 is negative, your final answer will be negative. a negative multiplied or divided by a positive (and vice versa) will always be negative.