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1. Explain what synthetic division is. Illustrate with example. In synthetic division, what relationship does the divisor and remainder have to the original polynomial function, according to the Remainder Theorem?
2. What general characteristics for the graph of any polynomial function can be found by looking at its equation? What can you tell about the graph of a polynomial function by examining the leading coefficient? (Assume the polynomial is arranged in descending order.) What can you tell about the graph of a polynomial function by examining its highest power?
3. Finding the roots to non quadratic equations has always been a challenge. How are the roots, and where the graph crosses the x-axis, related to each other? Illustrate with example.
Create a mixed integer programming model for this problem.
A run chart is developed that confirms process stability. The level of significance is chosen to be 0.01. (a) Is there evidence to suggest that the process average differs from the target value?
Why do we use graphical displays of the data from our research, such as Pareto Charts, Bar Charts, Pie Charts, Flow Charts, or Process Control Charts?
Prepare tables of descriptive statistics (mean, median, Quartiles, IQR, and Standard Deviation) by firm for net profit margin (PROFITS). Discuss.
What percentage of bags will weigh more than 16.4 ounces? What percentate of bags will weigh less than 15.92 ounces
If Larry gets a 70 on a physics test where the mean is 65 and the standard deviation is 5.8, where does he stand in relation to his classmates?
Explain why an observed value of 250 hours is not unusual for an individual light bulb, even though it is outside the confidence interval you calculated.
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
The mean of land and buildings per acre from a sample of farms was $637, with a standard deviation of 26. Use Empirical Rule to find approximate percentage of acreage whose values were between $ 661 and $663.
What is the probability that the debt for a borrower with good credit is more than $18,000?
Show the odds of any two individuals having the same birthday are slightly greater than 1:1 (1:.9732 actually).
The lifetime of a super tough AAA battery is normally distributed wit mean of 28.5 hours and standard deviation of 5.3 hours. For a battery selected at random
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