Answer:
0.1667
Step-by-step explanation:
There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:

The probability is 0.1667.
Answer:
x=1,-5x=1,−5
Step-by-step explanation:
0=(x−1)(x+5)
2 Switch sides.
(x-1)(x+5)=0(x−1)(x+5)=0
3 Solve for xx.
x=1,-5x=1,−5

Step-by-step explanation:
....
The population 10 years later will have increased by 3,040, making the population 18,240.
Hope this helps.<span />
I think it would be just a constant diagonal line like this /