<span>
A= {a,b,c} . Since this set has 3 elements, the number
of its total subset is 2³ = 8 (including the Ф element):
Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6
{a} </span>→→→→1/2
<span>{b} </span>→→→→1/3
<span>{c} </span>→→→→1/6
<span>{a,b} </span>→→→→1/2 + 1/3 = 5/6
<span>{a,c} </span>→→→→1/2 + 1/6 = 2/3
<span>{b,c} </span>→→→→1/3 + 1/6 = 1/2
<span>{a,b,c} </span>→→→→1/2 + 1/3 + 1/6 = 1
<span>{∅} </span>→→→→0 =0
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
No singular point due to the exponent in the solution
The interval is 
b
NONE
Step-by-step explanation:
From the question we are told that

The generally solution is mathematically represented as

=> 
integrating both sides

=> 
=> 
=> 
Here 
=> 
From the above equation we see that the domain for x has no singular point the interval is

Also there is no transient term in the general solution obtained because as
there no case where 
Answer:
C. 609
Step-by-step explanation:
In the question, 4-digits number were given to be divided by a 2-digits number. Without performing the division, it is only reasonable to say that the quotient will be a 3-digits number.
In the given options, the only 3-digits number is 609
Also, you can multiply 609 by 12 to check how reasonable your guess is.
⇒ 609 x 12 = 7308
The difference between 7315 and 7308 is 7.
The remaining number (7) is not up to 12 and when 7 is divided by 12 it will not give a whole number digit.
Therefore, the only reasonable quotient in the given options is 609.
1 hour = 50 km
3 hours = 50 x 3 = 150 km
Answer: The car would go for 150 km in 3 hours.