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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?
A medical screening program administers three independent physical fitness tests. Of the persons taking the test, 85% pass test I, 70% pass test II, and 50% pass test III. A participant is chosen at random.
Farmer Brown, distant mathematical cousin of Mr. Brown, wants to enclose a grazing area along a river bank and build an opera hall. He has 500m of fencing available and none can be used along the riverbank. What are the dimensions that give the la..
A regular hexagon is divided into 6 equilateral triangles. he altitude of each triangle is 6cm. What is the perimeter of the hexagon?
find the rate of change of the volume of water in the container, with respect to time, when h=3 cm. indicate units of measure.
Use implicit differentiation to find the slope of the tangent line to the curve [y}/{x - 4 y} = x^{3} - 5 at the point ( 1, {-4}/{-15} ). Find m=?
A. Use vector techniques to prove that a triangle and its medial triangle have the same centroid, stating each step of the proof. Provide written justification for each step of your proof.
A man ordered 3 times a many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.37 per box. Felt-tip cost $3.44 per box. Total cost is $82.75. How many boxes of each type of pen did he buy?
Provide an appropriate response. Histograms and Pareto charts are both bar charts. What is the significant difference between the two?
Automorphism, Abelian Group and GCD, Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ
Verify the Gauss' Divergence Theorem and Calculate the single, double and line integral - MATH2000 Find the surface area of S.
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
Let X be a set of finite (positive) measure. Let C be the collection of all finite subsets of X and their complements in X. Is C an algebra of sets? Is C a σ-algebra? Explain.
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