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1 answer:
Answer:
<em>The height of the tree is 19.81 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios </u>
The ratios between the sides of a right triangle are called trigonometric ratios.
If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.
This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.
The trigonometric ratio that relates both legs is the tangent:
Solving for X
Using a calculator:
X = 19.81 m
The height of the tree is 19.81 m
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Answer:
.b. It is one‐half as large as when n = 100.
Step-by-step explanation:
Given that a simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.
i.e. s = 0.3
we obtain se of sample by dividing std devitation by the square root of sample size
i.e. s=
when n =100 this = 0.3 and
when n =400 this equals 0.15
We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original
Correction option is
.b. It is one‐half as large as when n = 100.