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
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Answer:
Step-by-step explanation:
Relatively less golf and attend relatively more concerts whenever his leisure time becomes more scarce.
- This is called the marginal utility, that with every successive unit that utility decreases. With each passing hour while playing golf Joe is less inclined to play for an extra hour. When leisure time is less than 2 hrs he is equally likely to opt out of golf for concert.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
<em>Find the value of z</em>
In the right triangle DBC
----> equation A
In the right triangle ABC
----> equation B
equate equation A and equation B
step 2
In the right triangle DBC
Applying the Pythagoras Theorem
we have
substitute
step 3
Find the value of x
In the right triangle ABC
Applying the Pythagoras Theorem
we have
substitute
Answer:
6=6
True for all a
Step-by-step explanation:
