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Zepler [3.9K]
4 years ago
10

The polynomial 24x3 - 54x2 + 44x - 99 is factored by grouping.

Mathematics
1 answer:
Juli2301 [7.4K]4 years ago
4 0

Answer:

6x^2 + 11.

Step-by-step explanation:

24x3 - 54x2 + 44x - 99      Re-arranging:

= 24x^3 + 44x - 54x^2 - 99

= 4x(6x^2 + 11) -  9(6x^2 + 11).

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Answer:

  see the attachment

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We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).

Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.

That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".

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<em>Comment on the question</em>

IMO, the use of <em>70 trials</em> is coincidentally the same number as the first <em>70 days</em> of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.

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