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Permutations and coefficients
(a) How many bit strings of length 7 are there? Explain.
(b) How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain.
(c) How many bit strings of length 7 is there that contain an even number of ones? Explain.
Sampling distribution of sample mean- key informaiton. What is the probability that the sample mean will be between 28 and 46?
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
Find the total distance from the given particle - Evaluate the total distance traveled by the particle from t = 0 and t = 4
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
I wish to find the general nontrivial solution to the fourth order ODE with boundary conditions
Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.
Suppose you have two functions f and g and you use them to form a composite function. Under what conditions will they be the same? Include a numerical example in your answer.
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
Solve each linear equation. Show your work and check. Solve each equation by first eliminating the decimal numbers.
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