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iogann1982 [59]
3 years ago
13

Maryann is testing the effectiveness of a new acne medication. There are 100 people with acne in the study. Fifty-five patients

received the acne medication, and 45 other patients did not receive treatment. Thirty of the patients who received the medication reported clearer skin at the end of the study. Twenty-two of the patients who did not receive medication reported clearer skin at the end of the study. What is the probability that a patient chosen at random from this study took the medication, given that they reported clearer skin?
55%
58%
38%
43%
Mathematics
1 answer:
Nata [24]3 years ago
4 0

58% is the correct answer

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2 years ago
Jay factored the 4 term polynomial : x^3 - 9x +2x^2 - 18 and decided that the complete factorization was : ( x + 2 ) (x^2-9 ). B
labwork [276]

Answer:

x^3-9x+2x^2-18\left(x+2\right)\left(x+3\right)\left(x-3\right)

Step-by-step explanation:

we are given that x^3-9x+2x^2-18

w are sked to step by step factorise the above polynomial

\left(x^3+2x^2\right)+\left(-9x-18\right)

-9\mathrm{\:from\:}-9x-18\mathrm{:\quad }-9\left(x+2\right)

-9x-9\cdot \:2

-9\left(x+2\right)

\mathrm{Factor\:out\:}x^2\mathrm{\:from\:}x^3+2x^2\mathrm{:\quad }x^2\left(x+2\right)

-9\left(x+2\right)+x^2\left(x+2\right)

\left(x+2\right)\left(x^2-9\right)

x^2-9:\quad \left(x+3\right)\left(x-3\right)

x^2-9

\mathrm{Rewrite\:}9\mathrm{\:as\:}3^2

=x^2-3^2

\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)

x^2-3^2=\left(x+3\right)\left(x-3\right)

Hence

x^3-9x+2x^2-18=\left(x+2\right)\left(x+3\right)\left(x-3\right)

a) The jay mistake was he did not factorise  x^3-9x+2x^2-18x^2-9 furtherb) the complete answer wil be  [tex]x^3-9x+2x^2-18\left(x+2\right)\left(x+3\right)\left(x-3\right)

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