Select the correct answer.
2 answers:
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and
are the experimental probabilities from the table.
Solution:
Total number of times spun the spinner = 60
Number of times getting 1 = 12
Number of times getting 2 = 17
Number of times getting 3 = 15
Number of times getting 4 = 16
<u>Experimental probabilities from the table:</u>
Probability of getting 1 =
Probability of getting 2 =
Probability of getting 3 =
Probability of getting 4 =
<u>To determine which are the experimental probabilities from the table:</u>
Option A: 15
This is not obtained above. So, it is not the experimental probability.
Option B:
This is obtained in the probability of getting 2.
So, it is the experimental probability.
Option C:
This is obtained in the probability of getting 3.
So, it is the experimental probability.
Option D:
This is not obtained above. So, it is not the experimental probability.
Option E:
This is not obtained above. So, it is not the experimental probability.
Hence and
are the experimental probabilities from the table.
This is a way to factoring trinomials (there exist different equivalent methods).
Multiply the trinomial but the term accompanying . This is the second line. Then, you could take the square of the
, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want
In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have
The last step is divide by the number that we multipy in the first step.
