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A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted.
• Use the counting principle to determine the number of points in the sample space. • Construct a tree diagram to represent this situation • List the sample space. • Determine the exact probability of creating a mini license plate with a C. Give solution exactly in reduced fraction form.
Prove that the set of all onto mapping from A to A is closed under composition of mappings. Prove that the set of all one-to-one mappings from A to A is closed under mapping composition.
What is the probability that two cards drawn from a deck are both aces?. Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that:
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
In each case, sketch the closure of the set: (pi)
How much variation does knowledge of Age Score account for in Competence Scores?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify.
Discuss the similarities you found in methods of integration and methods of differentiation with example please
Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1. Use "t" as your variable, t = 0 should correspond to P
Find the area of a sector having a central angle of 60° in a circle of radius 8 inches. Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft.
Given S is a subset of R. Suppose S' (set of all accumulation points in S) = emptyset. Prove S is countable.
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