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:
Below in bold.
Step-by-step explanation:
sin θ = 4 cos θ
Note that tan θ = sin θ / cos θ so we
Divide both sides by cosθ:
tan θ = 4
θ = 75.96
= 75 degrees 58 minutes.
Answer:
20.3 units
Step-by-step explanation:
Write and solve an equation involving ratios:
5 units 15.7 units
------------- = ----------------
9 units C
Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."
Then 5C = 141.3, so that C = 141.3 units / 5 = 20.3 units.
Answer:
i am sorry i don't know the answer
i love you
Step-by-step explanation: