The probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Given that based on a poll, 60% of adults believe in reincarnation, to determine, assuming that 5 adults are randomly selected, what is the probability that exactly 4 of the selected adults believe in reincarnation, and what is the probability that all of the selected adults believe in reincarnation, the following calculations must be performed:
- 0.6 x 0.6 x 0.6 x 0.6 x 0.4 = X
- 0.36 x 0.36 x 0.4 = X
- 0.1296 x 0.4 = X
- 0.05184 = X
- 0.05184 x 100 = 5.184
- 0.6 x 0.6 x 0.6 x 0.6 x 0.6 = X
- 0.36 x 0.36 x 0.6 = X
- 0.1296 x 0.6 = X
- 0.07776 = X
- 0.07776 x 100 = 7.776
Therefore, the probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
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A) using long division is one way you can divide polynomials. There are other ways (such as synthetic division) but most prefer the long division. You could use mathematical methods, but long division or synthetic division is the best way to go.
Answer:
The shortest side is 3”
Step-by-step explanation:
In this question, we can observe that we have 3 sides of a triangle which are not equal in length. These sides are the long, medium and short.
We now have some mathematical statements according to the question.
Since these statements are referencing the short side, let’s start from there.
Let the length of the short side be x. The medium side is 4” more than the short side. This means that the medium side will be the short side plus 4 which mathematically is (x + 4)“. Also, we know that the longest side is 5 times the length of the shortest side. This is mathematically equal to 5x.
Lastly, we are made to know that the perimeter of the triangle is 25”. The perimeter of a triangle can be obtained by adding all the lengths together. This means that:
x + x +4 + 5x = 25
7x + 4 = 25
7x = 25 - 4
7x = 21
x = 21/7
x = 3”
The answer would be a) 14 sqrt 6
