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It is known that 15% of all homeowners pay a monthly mortgage of more than $2500 and that the standard deviation of the monthly mortgage payments of all homeowners is $350. Suppose that the monthly mortgage payments of all homeowners have a normal distribution. What is the mean monthly mortgage paid by all homeowners?
There are 10 workers and 2 administrators in a company meeting room. Two people will be selected at random without replacement. The chance that the second person is a worker is:
Find the directrix, focus and roots of the parabola from the given data and sketching the graph of given equation
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0.
a survey of 1100 people in a certain city indicates that 850 own microwave ovens, 750 own dvd players and 560 own microwave ovens and dvd players.
Pages in a book are numbered in typical fashion, starting with 1. The folio for page 10 will contain the tenth and eleventh digits necessary to paginate the book. On what page will the 2009th digit occur?
the following are the slopes of lines representing daily revenues y in term of time x in days. Use the slopes to interpret any change in daily revenues for a one-day increase in time.
Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
The distance in miles an automobile travels is given by the formula D = rt, where r is the rate in miles per hour and t is the time in hours. How far will an automobile travel in 6 hours at a rate of 55 miles per hour?
Sarah is a moderately active woman. She weighs 130 pounds, is 68 inches tall, and is 25 years old. Based on the following formula, what are her caloric needs? What happens to her caloric needs as she gets older? Why do you think this happens? usin..
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
Sarah, Jolly and Betty are female triplets. They and their 10 cousins are posing for a series of photographs. One pose involves all 13 children. How many ways can the 7 boys and 6 girls be arranged in one row under each of the following conditions..
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