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Nesterboy [21]
2 years ago
8

If one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

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Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu
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Answer:

  11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

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and

  P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

  0.50^t = 0.000290372

  t·log(0.50) = log(0.00290372) . . . . take logarithms

  t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

  t ≈ 11.75

It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

_____

<em>Comment on Six Sigma</em>

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

  t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

5 0
3 years ago
Can u please help me with 27
Pachacha [2.7K]
The answer would be 237.375. To get this answer, you will first use the formula given for each unit. First, you will do the first unit by putting 8 to the third power, or basically 8x8x8. After you get the product 512, you will then do the next unit. Do that one by doing 6.5 to the third power, or as followed, 6.5x6.5x6.5. Once you get the product 274.625, you will then subtract that from 512. You will then receive the answer 237.375.
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<span>c is the correct answer</span><span />
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3 years ago
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Step-by-step explanation:

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