Mathematics, 27.02.2020 18:12 Ariellyvz9103

A textile manufacturer wants to set up a control chart for irregularities (eg. oil stains, shop soil, loose threads, and tears) per 100 square yards of carpet. The following data were collected from a sample of twenty 100-square-yeard pieces of carpet:

Sample Irregularities Sample Irregularity Sample Irregularity
1 18 6 11 11 10
2 14 7 4 12 16
3 6 8 10 13 5
4 14 9 12 14 15
5 8 10 9 15 17
Samples/Irre Cont'd

16 - 4
17 - 15
18 - 9
19 - 15
20 - 17

Using these? data, set up a? c-chart with z =33.
UCLc =
LCLc =

Answers: 2

Show answers

Answers

Answer from: Derrionna

UCLc = 25.7715519

LCLc =-4.171551971

find attached the C-chart(control chart)

Step-by-step explanation:

Sample Irregularities Sample Irregularity Sample Irregularity

1 18 6 11 11 10

2 14 7 4 12 16

3 6 8 10 13 5

4 14 9 12 14 15

5 8 10 9 15 17

Samples/Irre Cont'd

16 - 4

17 - 15

18 - 9

19 - 15

20 - 17

Using these? data, set up a? c-chart with z =33.

UCLc =

LCLc =

Sampleirreg mean(CL)UCLLCL

ularities

11810.825.77155197-4.171551971

21410.825.77155197-4.171551971

3610.825.77155197-4.171551971

41410.825.77155197-4.171551971

5810.825.77155197-4.171551971

61110.825.77155197-4.171551971

7410.825.77155197-4.171551971

81010.825.77155197-4.171551971

91210.825.77155197-4.171551971

10910.825.77155197-4.171551971

111110.825.77155197-4.171551971

121610.825.77155197-4.171551971

13510.825.77155197-4.171551971

14110.825.77155197-4.171551971

151710.825.77155197-4.171551971

16410.825.77155197-4.171551971

171510.825.77155197-4.171551971

18910.825.77155197-4.171551971

191510.825.77155197-4.171551971

201710.825.77155197-4.171551971

find attached the C-chart

Answer from: Quest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2:

(2 x^3 + 7 x^2 + (x + 4 x) + 2)/(x (x + 2))

x + 4 x = 5 x:

answer: (2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

Answer from: Quest

The only number less than 8 that can equal 12 would be 6, $36 \div 6 = 6$ 36 is the dividend

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