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A rancher has 1000 feet of fencing with which to enclose two adjacent rectangular corrals with a interior partition (consider as one pen).
Use calculus to determine what the external dimensions of the pen that will maximize the enclosed area.
Write your answer in the form length by width.
Your insurance stipulates at least one system must be working 9989 times out of 10000. In order to achieve that level with two independent systems, what is the maximum probability of failure allowed for a single system?
How can you represent a pedigree for a mixed breed of dog (a Schnoodle, for example) using set theory? Create (describe) a Venn diagram and a numeric sentence to describe the set.
Here, q is the fraction of children with annual household income x thousand dollars who will attend a live dramatic performance at a theater during the year. Compute the income elasticity of demand E at an income level of $20,000. (Round your answ..
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
What proportion of time does Dr. Smith eat a home lunch? d. If Taco Bell costs $3 and a home lunch costs $1 and the Springdale room is free, then how much lunch budget should he allow for his semester, which includes 100 lunches?
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
The quality control department checks 340 CD players and discovers 12 of them are defective. What is the probability that a CD player is not defective?
Modify the Euclidean algorithm to find the greatest common divisor of 2x^3 + x^2 - 2x - 1 and x^2 + 3x + 2. This requires long division with polynomials.
If you are 22 years old, deposit $7,825 each year into a traditional IRA for 48 years at 11% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
Let X be a set of finite (positive) measure. Let C be the collection of all finite subsets of X and their complements in X. Is C an algebra of sets? Is C a σ-algebra? Explain.
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
Probability that exactly one of the sample individuals carries the gene.
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