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Minchanka [31]
3 years ago
11

The fair spinner shown is spun 2 times. The set of possible outcomes are: S = {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, B

G, GB, YG, GY} The number of yellows in the outcome is summarized in the table on the right. A 2-column table has 3 rows. The first column is labeled Yellow with entries 0, 1, 2. The second column is labeled Frequency with entries 9, 6, 1. Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins?
0.0625
0.5625
0.375
1
Mathematics
1 answer:
kari74 [83]3 years ago
3 0

Answer:

Answer is 0.375 :)

Step-by-step explanation:

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Step  1  :

Equation at  step  1  :

 (2x2 +  5x) -  12

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+5x-12  

The first term is,  2x2  its coefficient is  2 .

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Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   5 .

-24    +    1    =    -23  

     -12    +    2    =    -10  

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     -6    +    4    =    -2  

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     -3    +    8    =    5

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  8  

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Step-4 : Add up the first 2 terms, pulling out like factors :

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             Add up the last 2 terms, pulling out common factors :

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Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (2x-3)

            Which is the desired factorization

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