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Alchen [17]
2 years ago
15

If one zero of the quadratic polynomial x²+3x+k is 2, then the value of k is. [ ]

Mathematics
2 answers:
Alex_Xolod [135]2 years ago
3 0

Answer:

b) -10

Step-by-step explanation:

x^2 + 3x + k = (x - 2)(x - a)

(x - 2)(x - a) = x^2 - 2x - ax + 2a = x^2 + [-2 - a)x] + 2a

-2 - a = 3

2a = k

a = -5

k = 2(-5) = -10

Answer: b) -10

yulyashka [42]2 years ago
3 0

Answer:

GET READY FOR FIGHT !!!!!

Step-by-step explanation:

*Intense music in background*

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Answer:

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Step-by-step explanation:

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And the standard deviation is just the square root of the variance and we got:

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Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

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Part a

The expected value is given by:

E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11

The variance is given by:

Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333

And the standard deviation is just the square root of the variance and we got:

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Part b

For this case we want this probability:

P(X

And we can use the cumulative distribution function given by:

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And using this function we got:

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And using the complement rule and the cumulative distribution function we got:

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3 years ago
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