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1 answer:
The perimeter of the figure is 58 units
The area of the figure is 130 unit square
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To calculate the perimeter of the shape, we simply add up the side lengths of the visible parts of the figure.
Having said that, the perimeter is:
To calculate the area, we use a different approach.
First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.
From left to right, we have:
Rectangle 1
Rectangle 2
Rectangle 3
The area of a rectangle is:
So, the area of the figure is:
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Answer:
a) S = {1, 2, 3}
b) P(odd number) =
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) =
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = Prob(1) + Prob(3)
= =