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kramer
3 years ago
14

Which scale would produce the smallest drawing

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

1 Millimeter: 1 meter

Step-by-step explanation:

a)  the scale is \frac{1}{100}

That means ----> 1 unit in the drawing represent 100 units in the actual

b) the scale is  \frac{1}{1}\frac{mm}{m}

Remember that

1 m=1,000 mm

substitute

\frac{1}{1,000}\frac{mm}{mm}=]\frac{1}{1,000}

That means ----> 1 unit in the drawing represent 1,000 units in the actual

c) the scale is  \frac{1}{10}\frac{in}{ft}

Remember that

1 ft=12 in

substitute

\frac{1}{10}\frac{in}{ft}=]\frac{1}{120}

That means ----> 1 unit in the drawing represent 120 units in the actual

<em>Example</em>

If we would like to draw a segment that in reality measures 1000 units, then

with scale a) \frac{1}{100}

The length of the drawing is 1,000/100=10 units

with scale b) \frac{1}{1,000}

The length of the drawing is 1,000/1,000=1 unit

with scale c) \frac{1}{120}

The length of the drawing is 1,000/120=8.3 units

therefore

The smallest drawing is with the scale of  \frac{1}{1,000}

so

1 Millimeter: 1 meter

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<h2>Given that</h2>

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Set A: 1 4 4 4 5 5 5 8

Mean: 4.5

Standard dev: 1.9

 

Set B:

Mean: 4.5

Standard dev: 2.45

 

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Standard Error, SE = s/ √n =    1.9/√8 = 0.67  

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<span> <span><span> <span>   </span> </span> </span></span>

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The 90% confidence interval is [3.23, 5.77]

 

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Standard Error, SE = s/ √n =    2.45/√8 = 0.87  

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<span>We can obviously see that sample B has more variation in the scores than sample A. The fact that the standard deviation is 2.45 for B and 1.9 for A). Therefore, they yield dissimilar confidence intervals even though they have the same mean and range.</span>

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