PLEASE HELP ME

Mathematics

1 answer:

balandron [24]3 years ago

6 0

9514 1404 393

Answer:

(3y)(2x^2 -1x -8xy +4y)
(3y)(x -4y)(2x -1)

Step-by-step explanation:

<u>Part A</u>: All of the coefficients have a common factor of 3. All of the variable products have a common factor of y, so the greatest common factor of all terms is 3y. The expression can be written as ...

(3y)(2x^2 -1x -8xy +4y)

<u>Part B</u>: The remaining factor can be factored pairwise:

3y(x(2x -1) -4y(2x -1)) = 3y(x -4y)(2x -1)

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Answer: probability of getting two 5s =0.04

probability of getting at least one 5 =0.36

probability of getting a total score greater than 5 =0.6

Step-by-step explanation:

Total outcomes on 1 spinner = 5

Then , total outcomes of spinning it 2 times= $5\times5 = 25$

Number of outcomes for getting two 5's = 1

Then, the probability of getting two 5s $=\dfrac{\text{Favorable outcomes of getting two 5's }}{\text{Total outcomes}}$

$=\dfrac{1}{25}=0.04$

Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9

Then, the probability of getting at least one 5 $=\dfrac{\text{Favorable outcomes of getting at least one 5 }}{\text{Total outcomes}}$

$=\dfrac{9}{25}=0.36$

Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4

Then, the probability of getting a total score of 5, $=\dfrac{\text{Favorable outcomes of getting a total score of 5 }}{\text{Total outcomes}}$

$=\dfrac{4}{25}$

Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15

Then, the probability of getting a total score greater than 5, $=\dfrac{\text{Favorable outcomes of getting a total score greater than 5 }}{\text{Total outcomes}}$