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Logic & Set Theory; Boolean Algebra; Relations & Functions
1. How do we distinguish relations from functions?
2. What sort of relation is friendship, using the human or sociological meaning of the word? Is it necessarily reflexive, symmetric, antisymmetric, or transitive? Explain why it is or is not any of these. What other types of interpersonal relationships share one or more of these properties? Explain.
3. Reduce the following Boolean product to zero OR a fundamental product: xyx'z.c
4. Write the dual of the following Boolean equation: a+a'b = a+b.
In multiple regression analysis, explain why the typical hypothesis that analysts want to test is whether a particular regression coefficient (B) is equal to zero (H0: B = 0) versus whether that coefficient is not equal to zero (H1: B ≠ 0).
What is the probability that an employee's pay is $12.88 per hour?
Calculate the diameter of a medium carbon steel pin in double shear subjected to a suddenly applied shearing force of 150,000N
Find the equation of the tangent plane to the surface and find all critical points of the function - calculate the double integral by transferring to polar coordinates
Examine the stem plot for US retail gas price (in dollars per gallon) from May 4, 2012: (You must use proper reasoning when interpreting the stem plot.)
a. Calculate the sample average b. Calculate the sample standard deviation c. Based only on this information do you have a normally distributed process?
Find a study in a professional journal that uses a type of probability distribution covered in these chapters. Write a brief report describing this study and how the researcher used this tool to communicate the impact of the information discovered..
The cost per unit produced at a certain facility is represented by the function UC = 2x^2 - 10x + 50, where x is in thousands of units produced. For what value of x would unit cost be minimized (other than zero)? What is the minimum cost at this v..
fourier seriesa fourier series may be truncated to the formfor each of the following functions nd the fourier coecients
If the ambient temperature is 25°C, determine how long it will take for a system with a refrigeration capacity of 8 kW to precool this truck.
Suppose the production function is given by Q = 3K + 4L. What is the average product of capital when 5 units of capital and 10 units of labor are employed?
The manufacturer reported that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes. Calculate the appropriate test statistic to test the hypotheses. Statistics and Probability
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