<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
Answer: 24(2y−1)
Step-by-step explanation:
Factor 48y−24
48y−24
=24(2y−1)
Answer:
24(2y−1)
Answer:
<h2>2/5</h2>
Step-by-step explanation:
The question is not correctly outlined, here is the correct question
<em>"Suppose that a certain college class contains 35 students. of these, 17 are juniors, 20 are mathematics majors, and 12 are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a mathematics majors?"</em>
Given data
Total students in class= 35 students
Suppose M is the set of juniors and N is the set of mathematics majors. There are 35 students in all, but 12 of them don't belong to either set, so
|M ∪ N|= 35-12= 23
|M∩N|= |M|+N- |MUN|= 17+20-23
=37-23=14
So the probability that a random student is both a junior and social science major is
=P(M∩N)= 14/35
=2/5
set up a proportion. you have 60/100 and 27/x
now you do 27x100=2700 then divide that by 60
with a calculator you get 45
then you can check your answer by saying 60% of 45 and you get 27 Samuel has 45 toy cars in total
Answer: $3,484 <em>(I hope this is the correct way to do it)</em>
Step-by-step explanation:
The formula is: 
- SI = simple interest
- P = principal amount = $13,400
- R = interest rate (in percentage) =
% = 6.5% - T = time duration (in years) = 4 years
<em>If you want to find the total amount, add the principle amount and the interest.</em>
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