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Yakvenalex [24]
3 years ago
6

Solve by transforming into a perfect square trinomial x squared-14x=15

Mathematics
1 answer:
ycow [4]3 years ago
8 0
X^2 - 14 x  = 15

(x - 7)^2 - 49 = 15

(x-7)^2 = 64

x - 7 = - or  + 8

x = 15  or -1 

Just take half o the coefficient of x and subtract it squared as above.

In general

x^2 + ax = b

(x + a/2)^2 - a^2/4 = b 

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Answer:

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Step-by-step explanation:

Given that:

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Here;

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For (10, 12) ; The sample mean = \dfrac{10+12}{2}

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The probability distribution of sample mean(x) is:

X           8           9          11

P(X=x)    \dfrac{1}{3}          \dfrac{1}{3}           \dfrac{1}{3}

Thus, the probability that the sample mean  is larger than 8 is:

P(X> 8) = P(X = 9) + P(X + 11)

P(X> 8) = \dfrac{1}{3}+\dfrac{1}{3}

P(X > 8) = \dfrac{1+1}{3}

P(X> 8) = \dfrac{2}{3}

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