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babunello [35]
3 years ago
14

A supplier makes packaging cartons for a customer, with a length normally distributed around a mean of 150mm. Due to the cavity

in the filling machine, the carton must be no longer than 157 mm and no shorter than 143mm. The process standard deviation is 2.5mm.
a. What is the process capability Cp?
b. Calculate the percentage of non-conforming cartons of the process. Please type your answer in numerical numbers with 4 decimal places (not percentages).
Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer:

a) Cp=0.93

b) The probability of having non-conforming items is P=0.0051.

As percentage is 0.51%.

Step-by-step explanation:

a) The Cp is a measure of the capability of the process to produce items within the specifications.

It can be expressed as:

C_p=\frac{USL-LSL}{6\sigma} =\frac{157-143}{6*2.5}=\frac{14}{15}=  0.93

Where USL: upper specification limits

LCL: lower specification limits

b) The upper and lower specifications are equally distant from the mean (±7mm), so we can calculate z as:

z=\pm(x-\mu)/\sigma=\pm7/2.5=\pm2.8\\\\P(143

The probability of having non-conforming items is P=0.0051.

As percentage is 0.51%.

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Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4
sasho [114]

Answer:

Her uncle's age = 47 years

Step-by-step explanation:

Sophia = 12 years old

Her Uncle Reynald tells her that if she adds 5 to her age,

= 12 + 5

multiplies the sum by 3

= (12 + 5) × 3

and then subtracts 4 from the product

= {(12 + 5) × 3} - 4

she will find his age

{(12 + 5) × 3} - 4

= (17 × 3) - 4

= 51 - 4

= 47

Her uncle's age = 47 years

Sophia wrote:

12 + 5 × 3 − 4

Using PEMDAS

P - product

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

Sophia's expression can be written as = 12+(5*3)-4

= (12 + 15) - 4

= 27 - 4

= 23

Sophia's expression is wrong

8 0
3 years ago
Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of
raketka [301]
Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:

First is:   c+ g = 60,005 
Second is:   c= 2g+5

When we replace second in first we get:

2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000

g=60.000/3 = 20,000 => g=20,000

When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

c= 40,005

Good luck!!!!




6 0
3 years ago
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44
Dafna1 [17]

Answer:

11

Step-by-step explanation:

44 dollars after 4 days so 44 divided by 4 = 11

6 0
3 years ago
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Using side lengths only, could the triangles be similar?
pshichka [43]

Answer:

No, StartFraction 0.5 Over 1 EndFraction not-equals StartFraction 1 Over 1.5 EndFraction not-equals StartFraction 1.5 Over 2 EndFraction.

ANSWER 1

Step-by-step explanation:

took the test..

4 0
4 years ago
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7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
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