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Question: A group of eight people are attending the movies together.
a. Two of the eight insist on sitting side-by-side. In how many ways can the eight be seated together in a row?
b. Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the eight be seated together in a row?
A window has the shape of a semicircle over a square, as shown in Fig.
a picnic area has the shape of a trapeziod. the longer basse is 8 more than 3 times the length of the shorter base and the height is 1 more than 3 times the shorter base. what are the dimensions if the area is 4104 square feet?
According to a survey,62%of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded.
A bank offers an APR of 1.55% compounded monthly. What is the annual percentage yield is what percent?
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g. Abelian Groups and Relatively Prime Order
Explain with an example how to use the LCD (Least Common Denominator) to simplify a complex fraction.
dominion of rational expressionmy first letter begins withyour first rational expression3x2 -36 3x your second rational
Find the vertical and horizontal asymptotes. Find the intervals where the function is increasing. Find the local maximum value. Find the intervals where the function is concave up.
how many ways are there to assign the courses in the spring semester such that no professor teacher the same pair of courses in the spring as in the fall? if all the assignments are equally likely
1. Demonstrate the ability to outline the steps needed to complete the project before beginning to program. 2. Demonstrate the ability to correctly code the logic of a selection statement construct. 3. Demonstrate the ability to use the Decimal data ..
Find elementary matrices E,F,G and a matrix R in row-echelon form such that the following matrix A is equal to EFGR.
To write a reflection piece, examine the three documents: The U.S. Constitution (1787), France's Declarations of Human and Civic Rights (1789), and the United Nations The Universal Declaration of Human Rights (1948).
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