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Compare and contrast permutations and distinguishable permutations. Provide a formula for each.
State the fundamental counting principle and explain it in your own words.
Explain the difference between a permutation and a combination. Provide an example of each.
A sample of 100 provided a sample mean of 75.7. The population standard deviation is known to be 12. At 0.01 level of significance, what is your conclusion? Use either the p-value approach on the critical value of approach.
Primal LP and Optimal, Find the dual to this primal LP and its optimal solution
Find the slope and y intercept of the line. Graph the line 7x-5y=35. Decide whether the given linear equations are parallel, perpendicular or neither. y=4x+9 y=-1/4x+5/4
Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?
Complex problems
The slope of tangent line
Evaluate the equation of the Straight line - Sketch the curve.Circle: tangent to the line x=3, centre at (5,1)
Evaluate the area of the rectangle - Write a polynomial that represents the area.
Make the shape of the square.
Explain Isomorphism of Two Groups, Let G = (Q, +) and let K = Z be the subgroup of integers
Explain why a point on the boundary line cannot be used as a test point when graphing a linear inequality in two variables. Provide an example.
Calculate the mean of the sample means and compare it to the population mean.
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