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%
Answer:
Step-by-step explanation:
Hello There!
Once again we need to isolate the variable using inverse operations
to get rid of the -8.2 we add 8.2 to each side
-8.2+8.2 cancels out
-9.7+8.2=-1.5
now we have
-1.2z>-1.5
now we wan to get rid of the -1.2
to do so we want to divide each side by -1.2
Remember we have to flip the inequality sign because we're dividing by a negative number
we're left with
z<1.25
Answer:
V=273
Step-by-step explanation:
V=L*W*H
V=12*6.5*3.5
V=273
I attached the picture associated with this question.
Answer:x = 2
y = 5
Explanation:ABCD is a parallelogram. This means that each two opposite sides are equal.
This means that:1- AB = CD2y + 1 = 7x - 3 ...........> equation I
2- AD = BC3x = y + 1
This can be rewritten as:y = 3x - 1............> equation II
Substitute with equation II in equation I and solve for x as follows:2y + 1 = 7x - 3 ...........> equation I
2(3x - 1) + 1 = 7x - 3
6x - 2 + 1 = 7x - 3
6x - 1 = 7x - 3
7x - 6x = -1 + 3
x = 2
Substitute with x in equation I to get y as follows:y = 3x - 1
y = 3(2) - 1
y = 6 - 1
y = 5
Hope this helps :)