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The exam scores of all 500 students were recorded and it was estimated that these scores were normally distributed. If Jane's score is 0.8 standard deviation above mean, then how many, to the neares
Use decision trees to compute a lower bound on the number of comparisons required to sort six items in the worst case. Give an algorithm that uses this number of comparisons to sort six items in th
If you're single and don't have a bachelors degree and are under age 25, then you don't qualify for independent Financial Aid. You're not under age 25. Thus, you qualify for independent Financial Ai
A company makes four specialized types of calculators, each in both battery and solar powered versions, and each in six designer colors. How many different kinds of calculators are there?
Find out if matrix is diagonalized, if so find out a matrix P such that (P^-1)AP is diagonal and find out this matrix. Matrix (1, 4, 2, -1) I got how to check if diagonalized, but how do you find P
Assume P(n) is true for infinite number of positive integers n. Also, assume that P(k+1) -> P(k) for all positive integers k. Now, prove that P(n) is true for all positive integers. Hint: this i
A fair coin is flipped. If the flip results in head, then a marble is chosen from an urn containing 3 red, 7 white, and 4 blue marbles. If the flip results in the tail then a marble is chosen from
The Stamper company make two varieties of stapler. Model H is of high quality and they make a profit of $1 per stapler sold with a market size of 2500 per week while Model S is of medium quality and
Compute the probability that the mean of a sample of 40 observations, representing a population with m = 20 and a s2 = 100, lies between 18 and 22.
Three hundred students attended dedication cerimony of a new building on a college campus. THe president of the traditionally female college announced a new expansion program, which included plans t
Mention all the irreducible polynomials in Z 2 [x] of degree less than or equal to 4. Factor f(x)=(x^7)+1 bar as the product of irreducible polynomials in Z 2 [x].
Compute the greatest common divisors d(x) of the following polynomials f(x),g(x) in the field F[x] and express d(x)=s(x)f(x)+t(x)g(x) for appropriate s(x), t(x) in F[x]: c. f(x)=(x^2)+1, g(x)=(x^2)
Write down the system of inequalities corresponding to the graph of feasible set. Determine the coordinates of the vertices A, B, and C, of the feasible set. Discuss algebraic work for determining t
Describe that the vertices of a tree can be colored with two colors so that each edge is incident on vertices of different colors.
Find out the resultant of the forces acting on the hook-shaped member shown. Locate the resultant with respect to B and C. The problem isn't listed with the rest in the book.
Assume f(x) is a polynomial with integer coefficients of degree 2013 and f(0)=1. If f(3) is a divisor of 2013, what's the largest possible value of f(3) can take?
A pharmaceutical company conducted study to measure the effect of an allergy relief medicine; 242 patients with symptoms that included itchy eyes and a skin rash received the new drug.
An oil company purchased option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high quality oil) = 0.50 P(medium quality oil) = 0.20 P(no oil) = 0.30
A franchise agreement between the parent company franchisor and the franchisees who operated 7-Eleven stores said that any dispute between the franchisor and franchisees would be settled by arbirati
Take one step (by hand) with Newton's method starting with a guess of xo=1 c)take two steps (by hand) toward the root of f (i.e the minimum of h) using bisection with a=0 and b=4.
On Jan 1, Alex received an inheritance of thirty-year annuity. Starting on the day of the inheritance, the annuity pays $1000 each Jan 1, $2000 each April 1, $1500 each July 1, and $3000 each Octobe
Suppose the equation a=y-msiny where 0,m,1 is given and is in the set [0,pi]. How would you write down this in the form of fixed point problem for solution y and show it has a unique solution?
Solve the given differential equation by using an appropriate substitution: -y dx + ( x + sqrt(xy)) dy = 0. The answer is 4x = y(ln|y| - c)^2 which I'm not getting using v=x/y. Please use detailed s
Three friends divided some bullets equally. After all of them shot four bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divid
In the manufacture of a certain kind of automobile, four types of major defects and seven types of minor defects can take place. For those conditions in which defects do take place, in how many man