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:
![P=\frac{5!}{6!}=0.1667](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B5%21%7D%7B6%21%7D%3D0.1667)
The probability is 0.1667.
<u></u><em>Hello there, and thank you for posting your question here on brainly.
______________________________________________________________
Answer: 128
</em><em>Why?
</em><em>______________________________________________________________
To find the volume of a cylinder, we have to use the formula lwh/3. The length is 8, width is 4, and height is 12. So we have to multiply all of those together, then divide by 3. (8 * 4 = 32) -> (32 * 12 = 384) -> (384/3 = 128) The volume is 128.
</em><em>Hope this helped you! ♥</em><em>
</em>
Answer:
x = -10
Angle 2 = 49°
Angle 3 = 49°
Step-by-step explanation:
In the given figure, it's an isosceles triangle
so, angle 2 = angle 3
( since their opposite sides are equal )
now,
in the given triangle,
=》Angle 2 + Angle 3 + 82° = 180°
( sum of all interior angles of the triangle = 180° )
=》Angle 2 + Angle 3 = 180° - 82
=》Angle 2 + Angle 3 = 98°
=》2 × Angle 2 = 98°
( since, angle 2 = angle 3 )
=》Angle 2 = 98° / 2
=》Angle 2 = 49°
so, Angle 2 = 49° = Angle 3
now,
Angle 2 = x + 59
=》49 = x + 59
=》x = 49 - 59
=》x = -10
LCM = 1260
The lowest common factor is 1260
Hope this helps! :)