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2 years ago

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Adina read 60 out of 100 pages in a comic book.Write the fraction of the pages she read in simplest form

1 answer:

Ad libitum [116K]2 years ago

8 0

Answer:

3/5 is 60/100 in it's simplest form.

Step-by-step explanation:

60 divided by 20 is 3 and 100 divided by 20 is 5.

So 3/5

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g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of pa

adoni [48]

Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

Answer:

The value required is $\sigma = 0.0133$

Step-by-step explanation:

From the question we are told that

The upper specification is $USL = 1.68 \ mm$

The lower specification is $LSL = 1.52 \ mm$

The sample mean is $\mu = 1.6 \ mm$

The standard deviation is $\sigma = 0.03 \ mm$

Generally the capability index in mathematically represented as

$Cpk = min[ \frac{USL - \mu }{ 3 * \sigma } , \frac{\mu - LSL }{ 3 * \sigma } ]$

Now what min means is that the value of CPk is the minimum between the value is the bracket

substituting value given in the question

$Cpk = min[ \frac{1.68 - 1.6 }{ 3 * 0.03 } , \frac{1.60 - 1.52 }{ 3 * 0.03} ]$

=> $Cpk = min[ 0.88 , 0.88 ]$

So

$Cpk = 0.88$

Now from the question we are asked to evaluated the value of standard deviation that will produce a capability index of 2

Now let assuming that

$\frac{\mu - LSL }{ 3 * \sigma } = 2$

So

$\frac{ 1.60 - 1.52 }{ 3 * \sigma } = 2$

=> $0.08 = 6 \sigma$

=> $\sigma = 0.0133$

So

$\frac{ 1.68 - 1.60 }{ 3 * 0.0133 }$

=> $2$

Hence

$Cpk = min[ 2, 2 ]$

So

$Cpk = 2$

So $\sigma = 0.0133$ is the value of standard deviation required

3 0

3 years ago

a tank is 3/7 full of water.After removing 420 litres it became 12/35 full .how much can the tank hold when full?

insens350 [35]

Answer:

4900 Litres

Step-by-step explanation:

First we need a common demoninator:

3/7=15/35

Then we subtract the two to figure out how much 420 Litres is:

15/35-12/35=3/35

3/35=420 litres

Divide amount by the numerater for thow much 1/x is.

1/35=140

and multiply by the denomenator to get a full number on your fraction, and therefore a full tank.

140 x 35 = 4900

5 0

1 year ago

While exercising Julie found that her. Heart was beating 12times every 5 seconds how many times was it beating per min

Vika [28.1K]

12 times / 5 seconds * (60 seconds / 1 min) = 144 times / min

7 0

3 years ago

Read 2 more answers

SHannon is going on a 12-mile hike. She hiked 4 7/8 miles before lunch and 3 3/4 miles after lunch. how many miles does she have

Ne4ueva [31]

She has 3.878 miles left to hike. (439/500 in fraction form)

4 0

3 years ago

What is the volume of a rectangular prism with length 13 cm, height 7 cm, and width 5 cm? 455 cm³ 455 cm 455 cm²

Rama09 [41]

Answer:

$455 cm^3$

Step-by-step explanation:

A three dimensional configuration with its face shaped of rectangle is called a Cuboid. So, the prism is in the shape of a cuboid.

The volume of a cuboid = Length *Breadth*Height

$=13cm*5cm*7cm\\=455cm^3$

The volume of the cuboid shaped prism is $455 cm^3$

7 0

3 years ago