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The monthly charge for a waste collection service is 860 dollars for 100 kg of waste and 1180 dollars for 140 kg of waste.
(a) Find a linear model for the cost,C, of waste collection as a function of the number of kilograms,w.
(b) What is the slope of the line found in part (a)?
(c) What is the value of the vertical intercept of the line found in part (a)?
What situations would make rectangular, cylindrical or spherical integration best? Is integration over other coordinate systems possible or ever ideal?
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
Joint and Marginal Probability Distributions, Person takes bus & subway to work. Bus runs every 20 min (X) & subway every 4 min (Y).
a bug is going 2m/ minutes along the diagonal of a terrarium,indicated in the figure in the overview.The terrarium is mounted on a cart going at 6 meters/minutes. What is the speed of the bug relative to the ground.
A flagpole sitting on a level field is 30 feet tall. the flagpole casts a sahdow on the ground that is 18 feet long. A stick placed upright in the ground has a height of 5 fett. what is the length in feet of the stick's shadow.
The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 40 mi/h can stop in 136 ft. What is the maximum speed it can be traveling if it needs to stop in 160 ft? (..
The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds and 10 inches from the floor when the w..
Find the fundamental period p and corresponding w of: Help needed: How would i solve these problems?
The surface area of the top of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot.
Suppose that a pair of 20-sided dice are rolled (the sides are numbered 1-20). What is the probability that the sum of the dice is 13?
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
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