The displacement of the girl which the relative change in her position from her starting point. Therefore, the shortest distance between her initial and final position is 58.85 m North - West
From the sketch of the girls movement attached below, the displacement of the girl can be calculated thus :
Using Pythagoras :
Displacement, d = √(50² + 20²)
d = √(2500 + 400)
d = √2900
d = 53.851
Therefore, the displacement of the girl, which is the shortest distance between her current position and starting position is 53.85 meters NW.
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Considering the data in the question, the focal length of the objective lens that will give a total magnification of 200x is <u>0.8cm focal length.</u>
The whole question is:
You are using a microscope with a 10x eyepiece. What focal length of the objective lens will give a total magnification of 200x? Assume a length L = 160mm.
<h3>How was the answer derived?</h3>
Given that total magnification is 200
And the Assume length is 160
Since we used a microscope with a 10x eyepiece, the magnification would be divided by 10.
=> 200 ÷ 10 = 20.
Also, the focal length is measured in centimeters or meters; we would change the millimeters of focal length to centimeters. Therefore, we have 160 ÷ 10 = 16
The formula for the focal length of the objective lens = assumed length ÷ total magnification.
=> 16 ÷ 20 = 0.8cm.
Hence, in this case, it is concluded that the correct answer is "0.8cm."
Learn more about the focal length of the objective lens here: brainly.com/question/15744335
The probability that the sample mean would differ from the population mean by less than 655 miles in a sample of 79 tires if the manager is correct is = 0.9805.
<h3>
What is the calculation for the above?</h3>
P (
< 655) ≡ P [ |( - μ)/√(σ²/n) | <655/√(6,220,036/ 79)]
= P (| Z | < 3.55)
= P - 3.55 < Z < 3.55) Using the z -score table
= 0.9998 - 0.0193
= 0.9805
Learn more about sample mean at:
brainly.com/question/12892403
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I’m guessing it’s simply 13/2 so it’s 6.5 different ways or if your supposed to round 7 different ways.
i might be wrong :)
Ben I do want that answer key
