Answer:
f(½) = 1.73
f(¼) = 1.32
Step-by-step explanation:
You will find the complete question attached as a picture alongside the solution.
y = f(x) = 
When f(x) ⇒ f(½); that is, x = ½
y = 
= 
y = 1.7320508076 ≈ 1.73
y = <u>1.73</u> (to the nearest hundredth)
When f(x) ⇒ f(¼); that is, x = ¼
y = 
= ![\sqrt[4]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%7D)
y = 1.316074013 ≈ 1.32
y = <u>1.32</u> (to the nearest hundredth)
The probability that all five end up in alphabetical order is; 1/120.
<h3>What is the probability that the rack ends up in alphabetical order?</h3>
To evaluate the given probability; first, the number of possible arrangements is;
17P5 = 742,560 possible arrangements.
However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.
Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.
Hence, the required probability is; 6188/742,560 = 1/120
Read more on probability;
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Answer:
Inertia is a tendency to do nothing or to remain unchanged.
It is a property of matter by which it continues in its existing state of rest or uniform motion in a straight line unless that state is changed by an external force.
If both triangles are similar the ratio of sides will be same
