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# Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y ISBN: 9780073401331 38

## Solution for problem 1E Chapter 3.4

Statistics for Engineers and Scientists | 4th Edition

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Problem 1E

Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y = 5.0 ± 0.1, and

a. U = XY2

b. U = X2 + Y2

c. U = (X + Y2)/2

Step-by-Step Solution:

Step 1 of 4:

Here,it is given that  X = 10.0 ± 0.5 and Y = 5.0 ± 0.1.Also U is defined in terms of X and Y.

Using the given values of X and Y we have to find the values of U with uncertainty.

Step 2 of 4:

(a)

Here,U is expressed as U=X .

We have X=10 ,Y=5 and =0.5, =0.1

So U becomes,

U=10 =10 25

=250

Now we have to find the uncertainty.

The uncertainty is given by, = First we have to find and . is given by, = = =25 is given by, =2XY

=2(10)(5)

=100

Thus, becomes = = = =16.0078

Thus, uncertainty in U is 16.0078.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 1E from 3.4 chapter was answered, more than 357 students have viewed the full step-by-step answer. This full solution covers the following key subjects: assuming, Find, uncertainty. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 1E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y = 5.0 ± 0.1, anda. U = XY2________________b. U = X2 + Y2________________c. U = (X + Y2)/2” is broken down into a number of easy to follow steps, and 31 words.

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