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Part 1
1. Define the word "function."
2. Give an example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5.
3. Explain why the example models a function.
4. Give an example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and +5.
5. Explain why your example does not model a function.
Part 2
1. Select any two integers between -12 and +12 which will become solutions to a system of two equations.
2. Write two equations that have your two integers as solutions. Show how using the equations using your integers. Solve the system of equations by the addition/subtraction method. Make sure you the necessary 5 steps are included.
You calculate the difference in income as (after incentive plan - before incentive plan). You want to test whether income after the incentive plan is different from income before the incentive plan. What are the hypotheses for this test?
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A single test on a certain device costs more than the entire lot. It is therefore decreed that not more than three tests will be performed per lot.
Be sure to show whether you use the t- or z- value, and what value you use. Interpret the confidence interval in a single sentence. In another sentence, state why you used either the "t" or the "z".
An airline finds that 5% of the persons making reservation on a certain flight will not show up for the flight. If the airline sells 180 tickets for a flight with only 175 seats,
Assume that a random variable, x, is distributed according to a normal distribution with mean 46 and standard deviation 12. (a) What is the standard error of the estimate, x-bar, if a sample of size 25 is taken?
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An automobile insurance company estimates the following loss probabilities for the next year on a $25,000 sports car:
The scores on the certain test are "normally distributed with mean 61" and "standard deviation 3". Determine the probability that the sample of 100 students will have the mean score of at least 61.3?
How many subjects would you approximately need to reduce the length of the 95% confidence interval to 2 units?
A step by step solution is included to explain the concept of finding taylor series expansion of a given polynomial of degree 4 at a given ponit. The same concept can be applied to find the taylor series expansion of other polynomials and function..
Suppose X is a random variable with mean u and variance sigma2, Calculate the mean vector and variance matrix of the random vector Y = (X,2+3X)?
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