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3 years ago

Find the degree of the polynomial: 8xyz^7-8x^3yz^4+2x^3y^3

Mathematics

1 answer:

Nuetrik [128]3 years ago

7 0

Answer:

The degree of the polynomial is 9

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term $8\,x\,y\,z^7$ contains one variable "x" , one variable "y", and seven variables "z", so a total of nine. Then its degree is: 9

2) term $-8\,x^3\,y\,z^4$ contains three variables "x" , one variable "y", and four variables "z", so a total of eight. Then its degree is: 8

3) term $2\,x^3\,y^3$ contains three variables "x" and three variables "y", so a total of six variables. Then its degree is : 6

Therefore, the leading term of this polynomial is the first one, and it gives its degree to the entire polynomial. the polynomial is of degree 9.

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The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly

Svet_ta [14]

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between $\\ (\mu - 6\sigma)$ and $\\ (\mu + 6\sigma)$ . It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

$\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027$

For those with defects operating at a 6 sigma level, the probability is:

$\\ 1 - p = 1 - 0.999999998027 = 0.000000001973$

Similarly, for finding no defects in a 5 sigma level, we have:

$\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697$ .

The probability of defects is:

$\\ 1 - p = 1 - 0.999999426697 = 0.000000573303$

Well, the defects present in a six sigma level and a five sigma level are, respectively:

$\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}$

$\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}$

Then, comparing both fractions, we can confirm that a 6 sigma level is markedly different when it comes to the number of defects present:

$\\ {6\sigma} \approx \frac{2}{10^9}$ [1]

$\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9}$ [2]

Comparing [1] and [2], a six sigma process has 2 defects per billion opportunities, whereas a five sigma process has 600 defects per billion opportunities.

8 0

3 years ago

Which of the graphs below represents the soltuion set for d - 4 > -3?

ella [17]

Answer:

The answer is d

Step-by-step explanation:

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2 years ago

Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same

Grace [21]

Answer:

just croos multi

Step-by-step explanation:

its very easy

4 0

3 years ago

Read 2 more answers

Which statements accuratley describe the function f(x)=3(16)^3/4x

Varvara68 [4.7K]

Answer:

line

x-intercept | 0

f-intercept | 0

normal vector | (-3072/sqrt(9437185), 1/sqrt(9437185))≈(-1., 0.000325521)

slope | 3072

curvature | 0

Step-by-step explanation:

7 0

3 years ago

What is the greatest common factor of 12 and 16

Assoli18 [71]

Answer:

Step-by-step explanation:

12 can be dived into 4 a total of 3 times. 16 can be divided into 4 a total of 4 times

5 0

3 years ago