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Question: (a) Draw a configuration of four houses and two utilities, each house connected to each utility, but with no crossovers.
(b) Let n be any positive integer. Motivated by 2(a), suggest a general result concerning n houses and 2 utilities. Draw a graph supporting your answer.
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
a cylindrical tank full of water measures 3 feet high and has a circular base with a radius of 1 foot. suppose the tank
A telephone company charges customers a certain amount for the first minute of a long distance call and another amount for each additional minute. A customer makes two calls to the same city-a 38-minute call for $1.99 and a 14-minute call for $0.7..
Question 1: Assume we have an i.i.d. sample from Bernoulli random variable, specifically X1, X2... ,Xn ~ B (p), which means
At the end of the first year, your total revenues are $77,250. Based on the information in Problem 21-4, what is the accounting profit, and what is your economic profit?
If Tom Bombadil's house is 15 miles east of Hobbiton and 8 miles south, what is the straight line distance (omit units)?
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
solve the following by factoring x26x80.solve the following by using the quadratic equation 5w2-30present your final
Two observation points A and B are 1500 feet apart. From those points the angles of elevation of a hot-air balloon are 43° and 47°. Find the height of the balloon to the nearest foot.
MATH 54 QUIZ 3. Compute the determinant of the following matrix. Compute the area of the image of S under the mapping x |→ Ax
what is the probability that the mean life of the consumer's group's sample will be at most 52 moths?
Write a function that models the total population for the years shown in the bar graph - Does the result in part (b) overestimate or underestimate the actual total population in 2005 shown by the bar graph? By how much?
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