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:
The equation for the new line in slope-intercept form is:

Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:

which for our case is:

2s - 4 = 16
Add 4 to both sides
2s = 20
Divide both sides by 2
s = 10
Well, you can use distributive property to solve this question.
27(2p + 4e + 10p + 20)
= 54p + 108 + 270p + 540
= 324p + 648