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Question 1 : If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 4, 7, 10}, B = {2, 5, 8}. Find




{1, 3, 6, 9}
{1,3, 7 8,10}
{2, 4, 6, 8, 10}
{1, 3, 4, 5, 6}
Question 2 : A market survey was conducted to determine consumer acceptance for a group of products. The survey revealed the following about three products A, B, & C. of 155 people interviewed, it was discovered that,74 like product A, 81 like product B,60 like product C,27 like product A & B, 25 like products A & C,35 like products B & C and 12 did not like any of the three products.Determine the number of people out of those interviewed that liked all three products. Determine the number of people out of those interviewed that liked all three products.
hi , I have a Hamiltonian of NxN matrix when I diagonalize it I got N different eigenstates , I observe that there is an operator say "O" when acting on the eigenstates of the Hamiltonian gives 1 or -1 in strange order which I try hard to understand but I couldn't , is there any mathematical suggestion I could do to understand . thanks in advance
the annual salaries of employees in a large company are approximately normally distributed with mean of 162,000 and standard deviation of $100,000. what percent of people earn between $140,000 and $180,000
hi , I diagonalize hamiltonian H, then I found by chance , that this basis of eigenstates is also a basis of eigenstates of another operator let's call it "O" , which means that the Hamiltonian commute with that operator , before I diagonalizing in that basis , I have H (NxN matrix ) as will as (NxN) matrix for operator "O" , when I diagonalize the matrix of operator O I found that this operator have just two eigenvalues , two eigenstates as well (no matter what N ) , when I diagonalize H I found that it have N different eigenstates where part of them match the requirement of the first eigenstate of operator "O" and other part match the requirement of the second one , I want to understand mathematically how this match happens for example why would the ground state of the Hamiltonian match the requirement of the first eigenstate of operator O , . I wish that my question was clear , I am not a mathematician
Jo and David picked 92 quarts of berries at King’a Orchard. If David picked 6 more quarts than jo picked, how many quarts did Jo pick?
The cost of 5 boxes of envelopes and 5 packages of notebook paper is 25.95. Two boxes of envelopes and 6 packages of paper cost is 22.38. How much would one box of envelopes cost?
The probability that a person will die when he
or she contracts a virus infection is 0.001. Of the next
4000 people infected, what is the mean number who
will die?
The number of customers arriving per hour at a
certain automobile service facility is assumed to follow
a Poisson distribution with mean λ = 7.
(a) Compute the probability that more than 10 customers
will arrive in a 2-hour period.
(b) What is the mean number of arrivals during a
2-hour period?