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stiks02 [169]
3 years ago
14

Studies on a machine that molds plastic water pipe indicate that when it is injecting 1-inch diameter pipe, the process standard

deviation is 0.05 inches. the one-inch pipe has a specification of 1-inch plus or minus 0.10 inch. what is the process capability index (cpk) if the long-run process mean is 1 inch? 0.50 0.67 1.00 2.00
Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0
Answer is i think
<span>0.67 for you diana</span>
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A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. A triangular prism is s
Nastasia [14]

The height of the base is 12cm.

The approximate amount of cardboard used to make the candy box is  720 cm².

Given

A candy bar box is in the shape of a triangular prism.

The volume of the box is 1,200 cubic centimeters.

A triangular prism is shown with a base of the triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.

<h3>The volume of the prism;</h3>

The volume of a triangular prism is given by the formula;

\rm Volume=\dfrac{1}{2} \times length \times width \times height

Part A: What is the height of the base?

The height of the base is given by;

\rm Volume=\dfrac{1}{2} \times length \times width \times height\\\\1200=\dfrac{1}{2}\times 20 \times 10 \times Height\\\\Height =\dfrac{1200\times 2}{20 \times 10}\\\\Height =\dfrac{2400}{200}\\\\Height = 12 \ cm

The height of the base is 12cm.

Part B: What is the approximate amount of cardboard used to make the candy box?

The approximate amount of cardboard used to make the candy box is given by;

\rm Area = 2 \times length \times width+ length \times width \\\\Area = 2\times 20 \times 10+ 20\times 10\\\\Area = 520+200 \\\\Area = 720

The approximate amount of cardboard used to make the candy box is  720 cm².

To know more about triangular prism click the link given below.

brainly.com/question/17056191

7 0
3 years ago
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6 0
4 years ago
Read 2 more answers
Let f(x)=7x+4 find each value <br> A. f(x) when x = -8 <br> B. f(3) <br> C. x when f(x) = 67
maks197457 [2]

Answer:

f(x)=7x+4


When x=-8

f(-8)=7·(-8)+4=-56+4=-52


When x=3

f(3)=7·3+4=21+4=25


When f(x)=67, then :

7x+4=67

7x=63

x=9

8 0
2 years ago
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