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eduard
3 years ago
5

If an object moves 40 m north, 40 m west, 40 m south, and 40 m east, what's the total displacement?

Mathematics
2 answers:
Likurg_2 [28]3 years ago
8 0
Hey i just took the PF test. the correct answer is B: 0 m.
BlackZzzverrR [31]3 years ago
3 0

Answer:

B. 0 m

Step-by-step explanation:

We are given the movement of an object and are required to find the total displacement.

Now, as we know that 'displacement' refers to the length of the shortest path between two points.

i.e. We are required to find the shortest path the object covers.

Now, we can see from the figure below that the given movement,

40 m north → 40 m west → 40 m south → 40 m east,

will bring the object back to the original position ' O '.

Hence, the total displacement will be 0 m.

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Step-by-step explanation:

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3 years ago
Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3
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<h3>Answer: Choice A)  sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

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x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

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x5 - mean = 17.3 - 15.3 = 2

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Square each result from the previous section

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(1)^2 = 1

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Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

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Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

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Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

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1, 3, 7, 21

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