Conditional probability and Baye’s theoremĭelivery: This course has been taught online Online ContentĮach section has an algorithmic problem set delivered by Lumen OHM, a set of supporting videos and text, as well as a timed quiz.Mutually exclusive and independent events.Exponential and logarithmic models, growth and decay.Exponential and logarithmic functions, domain, base 10 and e.Average cost function and function value.Quadratic, Polynomial, and Rational Functions Linear inequalities, systems of linear inequalities, graphs of inequalities.Solving systems by graphing, substitution, addition.Line of best fit, regression, interpolation and extrapolation.Modeling With Linear Functions and Systems of Equations Inequalities, compound inequalities, absolute value inequalities.Horizontal,Parallel and perpendicular, and vertical lines.A review of the basic toolkit of functions including domain and range, rates of change and behaviors of graphs.This course is delivered in 10 modules including the following topics: Functions This course also contains video examples created by James Sousa ( ). This course package is delivered either in Lumen OHM, or can be imported into your LMS (Canvas, Blackboard, D2L, Moodle). This course was developed to be taught as an online course. (Use Shannon’s theorem).If the question descriptions not clear enough, please check the picture file I posted.The book is available to read online for free, you can download a copy of the entire book here, a bound version can be purchased here. Give a complete proof that this Latin square cryptosystem achieves Of L gives rise to one encryption function.) Question 1: Consider the linear block cipher with block length n and alphabet How many liters of each solution will satisfy each condition?a) Use 2 liters of the 50% solution.b) Use as little as possible of the 50% solution.c) Use as much as possible of the 50% solution. The solution is to be mixed from three solutions whose concentrations are 10%, 20% and 50%. How much of each fertilizer brand is needed to obtain the desired mixture?5) A chemist needs 10 liters of a 25% acid solution. Commercial brand Z contains two parts of fertilizer A, five parts of fertilizer B, and two parts of fertilizer C. Commercial brand Y contains one part of fertilizer A and two parts of fertilizer B. Commercial brand X contains equal parts of fertilizer B and fertilizer C. What amount should be invested in the 5.75% bond?4) A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of fertilizer C provides the optimal nutrients for a plant. The investor wants an annual interest income of $1900 from the investments. Luminous flux is measured in lumen, while luminous intensity is measured in. As the amount of 87-octane gasoline increases, how does the amount of 92-octane gasoline change? (c) How much of each type of gasoline is required to obtain the 500 gallons of 89-octane gasoline?3) A total of $32,000 is invested in two municipal bonds that pay 5.75% and 6.25% simple interest. (b) Use a graphing utility to graph the two equations in part (a) in the same viewing window. Let x and y represent the numbers of gallons of 87- and 92-octane gasoline, respectively. (a) Write a system of equations in which one equation represents the total amount of final mixture required and the other represents the amounts of 87- and 92-octane gasoline in the final mixture. How much would you have to sell per weekin order for the straight commission job offer to be better?2) Five hundred gallons of 89-octane gasoline is obtained by mixing 87-octane gasoline with 92-octane gasoline. The other offers a salary of $500 per week plus 3% of sales. One offers a straight commission of 6% of sales. Week Two – Application AssignmentAnswer the following questions in a Word document and upload the document to the appropriate drop box.1) You receive two job offers.
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