Answer:
sometimes
Step-by-step explanation:
If the polygon is regular that is the length of each side of the polygon is equal and each angle is equal in that case only interior angles are equal .
For a polygon even if a side length is different or interior angle is different then its a irregular polygon and then in that case each interior angle cannot be termed as equal.
Thus, we know that that there are two type of polygon regular and irregular.
Thus, it can be said that it is not necessary that Each of the interior angles in a polygon are equal always
Also it can be said that it is not necessary that Each of the interior angles in a polygon are never equal (as regular polygon have equal angles)
Thus, we can only say that each of the interior angles in a polygon are sometimes equal .
Step-by-step explanation:
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Answer:
a) The probaility is 0.333.
b) The probability is 0.125.
c) The volume is 0.512 m3.
Step-by-step explanation:
Organisms are present in ballast water discharged with a concentration of 10 organisms/m3.
That is our rate of the Poisson process
a) The probability of having at least 8 organisms is equal to the sum of the probabilities of having from 0 to 8 organisms:
Note: In this case, the volume V is 1 m3.
b) In this case, the volume is 1.5m3 so we have to multiply the rate by 1.5. Then it becomes:
The standard deviation of this distribution is
We have to calculate the probability of exceeding 19 organisms in 1.5m3:
We have that the probability of having <em>more</em> than 19 org. is equal to <em>one substracting the probability of having equal or less</em> than 19 org:
c) We have to calculate the volume such that there is a probability P=0.994 of having at least one organism in the water. This can be calculated as one less the probability of having zero organisms.