probability

Two adults a1 and b1, and eight children c1, c2, ... , c8 board a bus with 10 seats s1, s2, ... , s10. The adults board first and randomly select seats. The children select seats in order with c1 selecting first, c2 selecting second, and so on. Each child sits in the lowest numbered seat available to them. What is the probability that c7 sits in s8?

Conic Sections and Sequences, Series, and Combinatorics

Conic Sections and Sequences, Series, and Combinatorics set to real-life (-ish) examples. See Attachment.

Conic Sections and Sequences, Series, and Combinatorics

Conic Sections and Sequences, Series, and Combinatorics Among the professionals you have interviewed for your article, were several state and federal government spokespersons who use linear equations in a variety of ways. 1. An employee of the National Parks Service told you about a location in Washington, DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse. Because the President officiates at this event, the Secret Service makes calculations which they use in planning security. The Ellipse is actually an ellipse with major axis of length 1048 ft. and minor axis of length 898 ft. Assuming that ... click for more

Permutation and Combination

Is it possible to evaluate C(9,12)? Explain.

Financial Mathematics

Charles and Millie Jackson (a married couple in their 40’s) have decided to invest a portion of their accumulated retirement “nest-egg” in a new business venture. It is an opportunity that Millie found while exploring one of her hobbies. Her idea is to embroider logos for small companies and organizations. They have already priced the equipment to be a $10,000 investment, and after estimating variable costs, expect to make a profit of about $10 per shirt. Based on preliminary contacts, they believe there is a .30 probability (30 percent chance) that they could land a 3-year commitment from a local company, but only if they’ve made the investment and proven their product. This would lead... click for more