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"Counting Principles" Please respond to the following: Compare and contrast permutations and distinguishable permutations. Provide a formula for each.
Your favorite math magazine has recently published article on their website regarding whether solving systems of non-linear equations is easier by graphing or algebraically. You decide to write down
Suppose you are tutoring a classmate in the four algebraic processes. Define each process and provide an example of each.
Explain in your own words what the author of your textbook means by the statement, "If you add percents, you often obtain incorrect results." Determine other kinds of errors that can contribute to i
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ).
Graph the quadratic equation by finding and plotting ordered pair solutions.
Frigid Air company produces three different types of industrial refrigerators; A, B and C. The production capacity of the plant is 1000 units per week. Sales department calculates the unit prices fo
Analyze a research article which incorporates measure of central tendency and descriptive statistics. Briefly describe and report the measure of central tendency and explain whether the assumptions
A common component of investing money is to take advantage of a financial institution's willingness to pay compound interest. Compound interest is basically interest paid on a deposit that continual
In what ways is solving inequalities the same as solving equations, and in what ways is it different? Also include at least one real-life application for inequalities.
Find the exponential function f(x)=Ca^x whose graph goes through points (0,2) and (3,16).
As a medical research technician, you have been assigned the task of modeling the growth of five different strains of the E. coli bacteria.
A rectangular solid has a base with length 5 cm and width 2 cm. If the volume of the solid is 100 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.]
To earn full credit, show how you solved the problem by using correct mathematical symbols and by explaining thoroughly in words each step. please include an introduction and a conclusion
How do you write down a system of linear equations in two variables? ??Explain this in words and by using mathematical notation in an equation.
Explain how to find the direction of maximum increase for f at your chosen point, showing all required work. Explain how to find the direction of maximum decrease for f at your chosen point, showing a
Solve the characteristic equation above for the roots m_1 and m_2. Hint: you may need to solve by factoring or by using the quadratic formula.
Discuss how the definitions of directional derivative (from calculus) and dot product (also called the inner product) can be used to justify the following statement: The gradient points in the direc
Explain the general relationship between linear algebra and calculus.
Imagine a country path, D, in miles in length, which a person walks at a steady pace in T hours. Suppose that a straight line represents the cartesian graph of time (T) versus the distance (D) for t
The stock portfolio lost 50% of its value. By what percentage does the decimated portfolio value have to go up in order to recover back to its original value. Please show the steps of calculation in
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.
Determine the important characteristics of exponential function. Discuss the difference between the graph of exponential growth function and exponential decay function and provide an example of each
What are the steps for solving an equation? Show an example. What and how are inverse operations used? Are equations and inequalities solved the same way?
Explain what it means for the rational equation to have more than one solution. Give an example of rational equation that has more than one solution. (Example: x^2 - 9 = 0, X could be 3 or -3)