<h3>
Answer: 45/121</h3>
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Work Shown:
2 blue, 4 red, 5 green
2+4+5 = 11 total
P(blue) = probability of getting one blue marble
P(blue) = (number of blue)/(number total)
P(blue) = 2/11
A = P(2 blue) = (2/11)*(2/11) = 4/121
P(red) = 4/11
B = P(2 red) = (4/11)*(4/11) = 16/121
P(green) = 5/11
C = P(2 green) = (5/11)*(5/11) = 25/121
Add the values of A,B, and C to get the probability of getting two of the same color
A+B+C = 4/121+16/121+25/121 = 45/121
This is approximately equal to 0.3719 which is roughly a 37.19% chance of happening
Side note: we can add A,B, and C because they are mutually exclusive events.
Answer:
The distance between the origin and the given point is 13.9283 units.
Step-by-step explanation:
The coordinates of origin are (0,0,0)
We are given a point R(9,7,80
The distance formula:
, where 
are coordinates of one point and 
are coordinates of other point.
Putting the values as:
We get d = 
d = 
d = 13.9283
Thus, the distance between the origin and the given point is 13.9283 units.
The yield to maturity best defined by the option c. The overall return the investor makes if they purchase a bond today and hold to maturity.
<h3>What is yield to maturity?</h3>
It is the total return of rate that will have been incomed by a bond when it makes all liability payments and repays the principal amount.
Since, as per the definition of yield to maturity, investor would get the original price of bond plus and the rate of interest that finalized (at the time of bond purchase) when the maturity period will over.
Thus, the overall return the investor makes if they purchase a bond today and hold to maturity. Best describes yield to maturity.
Learn more about yield to maturity here:
brainly.com/question/26376004
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Well first divide 12×85=___ ÷340
The solutions are: x=3+ √3 and x=3-√3
