Answer:
a. 24
b. 2
c. 0.0833 = 8.33%
Step-by-step explanation:
a.
The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.
So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive
b.
If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2
c.
If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%
− 14x/
3 i think this would be the answer
I believe it is B, because going down would be negative, and it is subtracting 6.
The laws of sines is already indicated in the provided images.
1. sin20/3.3 = sinC/5.4
Thus, angle C is 34.03 degrees. To find angle B: 180 - 20 - 34.03 = 126 degrees. Using the law of sines,
sin20/3.3 = sin(126)/b
b = 7.8 units
From this answer, we can already tell that the answer is letter C: <span>3 units and 7.8 units.
2. Angle J = 180 - 120 - 40 = 20 degrees. Then,
sin(20)/2 = sin(120)/k
k = 5.1 units</span>
