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1. What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for someone to evaluate.
2. What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.
About 12% of the population is math phobic. If two people are randomly selected, what is the probability both are math phobic? What is the probability at least one is math phobic?
Probability - Frequency Of Dice Rolls, When a pair of dice is rolled, the total will range from 2 (1,1) to 12 (6,6). It is a fact that some numbers will occur more frequently than others as the dice are rolled over and over.
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
Probability and Random Selection, A 4 person grievance committee is to be composed of employees in 2 departments, A and B, with 15 and 20 employees
A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coins turns heads on the second toss?
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
Application of differential calculus: Maximization and Minimization - what are the largest and smallest revenues your company your company can make under this deal?
Find the probability of the indicated results Less than 259 heads
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
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