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lisabon 2012 [21]
3 years ago
13

Please help me with this :) i give 30 points .

Mathematics
2 answers:
inn [45]3 years ago
8 0

Answer:

2) B

3) B

Step-by-step explanation:

Total = 4 + 3 + 2 + 6 = 15

2) 4/15 × 3/15 = 4/75

3) 6/15 × 5/14 = 1/7

Tatiana [17]3 years ago
6 0

Answer:

2  B  4/75

3 B 1/7

Step-by-step explanation:

4 red, 3 blue, 2 yellow, 6 orange

total = 15

2.  P(red) = red/total = 4/15

replace it

so we still have 4 red, 3 blue, 2 yellow, 6 orange

total = 15

P(blue) = blue/total = 3/15 = 1/5

P(red, replace, blue) = 4/15 * 1/5 = 4/75

3 P(orange) = orange/total = 6/15 = 2/5

not replacing it

so we  have 4 red, 3 blue, 2 yellow, 5 orange

total = 14

P(orange) = orange/total = 5/14

P(orange, no replace, orange) = 2/5*5/14 = 2/14 = 1/7

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Answer:

5(x + 10)(10x - 3)

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50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

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Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

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

                   x • (10x-3)

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

                   10 • (10x-3)

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

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