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MrMuchimi
3 years ago
8

a bag has 1 red marble, 4 blue marbles, and 3 green marbles. peter draws a marble randomly from the bag, replaces it, and then d

raws another marble randomly. what is the probability of drawing 2 blue marbles in a row? explain your answer
Mathematics
1 answer:
alexdok [17]3 years ago
8 0
I did this my sophmore year in highschool and I'm trying to remember lol. But first you add all the marbles together. 1+4+3. its eight. and since the marble was put back in this makes it an independant event. i believe the answer would be 2/8 considering that there isnt enough numbers to follow through with the equation of (P(a or b)=P(a)xP(b) . P is the probability and a and b are the variabls that represent the events. You would plug in the numbers of the probabilities into the equation, if you think the question calls for it. sorry it may not have been a staright up answer. 
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The factors of x cube -10x square -53x-42
Verdich [7]

Answer:

<em><u></u></em>x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)<em><u></u></em>

Step-by-step explanation:

 x^3 - 10x^2 -53x - 42

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

<u>Using trial and error method we will find the first root of the polynomial.</u>

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

     1 - 10 - 53 - 42  ≠ 0

   Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

      - 1 - 10 + 53 - 42

       53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

<u>Now by long division or by using synthetic division we can find other factors.</u>

<u>Synthetic Division :</u>

                             -1 | 1      -10       -53      - 42

                                | 0     - 1          11          42

                                |______________________

                                  1      - 11       - 42        0

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)  ------ ( 1 )

<u>Next further factorize x² - 11x - 42</u>

   x² - 11x - 42

= x² -  14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)

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Step-by-step explanation:

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