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Andreas93 [3]
3 years ago
11

Which of the following is a factor of x^3-4x^2-18x+9

Mathematics
2 answers:
zimovet [89]3 years ago
7 0
Hello,

x^3-4x^2-18x+9\\
=x^3+3x^2-7x^2-21x+3x+9\\
=x^2(x+3)-7x(x+3)+3(x+3)\\
=(x+3)(x^2-7x+3)\\
=(x+3)(x- \frac{7- \sqrt{37}}{2} )(x- \frac{7+ \sqrt{37}}{2} )
monitta3 years ago
3 0
(x-2)(x^2-7x+3) most likely

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You flip a fair coin until you see three tails in a row. What is the average number of headsthat you’ll see until gettingTTT?
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Answer:

14

Step-by-step explanation:

From the given information:

suppose, Y is the number of times a coin is being flipped.

If the coin is flipped for the first time and we get H, then we have:

TTT = \dfrac{1}{2}(Y+1)

Afterward, if we get H, then we waste two times plus the probability of this event \dfrac{1}{4}.

Therefore, we have : \dfrac{1}{4}(Y+2)

Afterward, if we get H, then we waste three times plus the probability of this event \dfrac{1}{8}.

Therefore, we have : \dfrac{1}{8}(Y+3)

If we got T at the third time, then;

T = \dfrac{1}{8}(3)

Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:

= \dfrac{1}{2}(Y+1)+ \dfrac{1}{4}(Y+2)+ \dfrac{1}{8}(Y+3)+ \dfrac{1}{8}(3)

= 14

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Answer:

The answer is 30 months

Step-by-step explanation:

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English translation:

If the quality control manager wants to estimate the average life of lamps with 20 hours, with a confidence level of 95% and an error of 10% is assumed. What is the sample size?

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Answer:

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Step-by-step explanation:

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