Answer:
The polynomial that represent the volume of the box is 
Step-by-step explanation:
we know that
The volume of the box is equal to

we have



substitute in the formula

(n - 2)180 = sum of angles (six sides)
(6 - 2)180 = y
(4) 180 = y
720= y
115+110+x+25+x-30+x+x = 720
4x + 220 = 720
4x = 720 - 220
4x = 500
x = 500/4
x = 125
The formula for reflecting preimages about the y-axis is (-x,y). This means that you would have to switch the x-coordinate's sign on each of the coordinates. So the coordinates would be W(-2,2), X(-4,3), Y(-5,2), and Z(-4,1). Now you have to translate the image. Translating it 3 units to the right would make you add 3 to each of the coordinates. The coordinates are now W(1,2), X(-1,3), Y(-2,2), and Z(-1,1). Now, I don't know if you meant that the y-coordinate is translated up or down 4 units, so I'll do both. For up, you would add 4 to each of the y-coordinates, and the new points would be W(1,6), X(-1,7), Y(-2,6), and Z(-1,5). For down, you would have to subtract 4 from each of the y-coordinates. The coordinates would be W(1,-2), X(-1,-1), Y(-2,-2), and Z(-4,-3). Those are your possible answers. I hope this helps.
Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So

Probability of roommate A winning:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
2 * plane speed in still air = 289mph + 257mph = 546
plane speed in still air = 273 mph
plane speed in still air + wind speed = 289
273 + wind speed = 289
Therefore, wind speed = 16 mph