Answer:
a. What is the probability that Carl arrives first?
Probability that Carl arrives first is ¹/₃ = 33.33% since their arrival times is uniformly distributed. The same probability applies to Bob and Alice.
b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?
Assuming that Carl arrived on time, 1:10 PM, we must determine the probability that Alice or Bob arrive between 1:20 and 1:30 (half the remaining time)
P = [3 · (¹/₂ - ¹/₃)] · [3 · (¹/₂ - ¹/₃)] = (3 · ¹/₆) · (3 · ¹/₆) = ¹/₂ · ¹/₂ = ¹/₄ = 25% chance that either Alice or Bob arrive more than 10 minutes later
c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?
P = 1 - 25% = 75%
d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?
I divided the 20 minutes by 5 to get ¹/₄:
P (|S - T| ≤ ¹/₄) = {[(x + ¹/₄)²] / 2} + (1 / 2x) + {[(⁵/₄ - x)²] / 2} = 0.09375 + 0.25 + 0.09375 = 0.4375 = 43.75%
Answer: Multiply 93 by 804 and that will give you
74772x
Multiply 12 by 880 and that will give you
10560x
Exact Form:
1977
Decimal Form:
28.14285714…
Mixed Number Form:
2817
Multiply 687 by 98 that will give you
67326
Multiply 936 by 39 and that will give yoou
36504x
Step-by-step explanation:
Answer:
Option A.
Step-by-step explanation:
The given expression is
According to the reflexive property of equality, all values are equal to itself.
a = a
where, a be any real number.
Using the reflexive property we can say that
It means -25 is equal or equivalent to -25.
Therefore, the correct option is A.
Note: If the given expression is 
, then
![[\because \sqrt{ab}=\sqrt{a}\sqrt {b}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Csqrt%20%7Bb%7D%5D)
![[\because \sqrt{-1}=i]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7B-1%7D%3Di%5D)
Then the correct option is B.
Answer: true, false, false, true
Step-by-step explanation:
