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One side of a right triangle is known to be 25 cm exactly. The angle opposite to this side is measured to be 60 o, with a possible error of 0:5 o.
a. Use differentials to estimate the errors in the adjacent side and the hypothenuse.
b. Estimate the percentage errors in the adjacent side and hypothenuse.
An aircraft is flying horizontally at a constant height of 4000 ft
What is the probability that a U.S. user who downloads music, selected at random, does not obtain it from Italy, the United Kingdom (U.K.), or France?
(a) Let {v1, v2, v3} be a set of vectors that is linearly dependent. Show that for any other vector w, the larger set {v1, v2, v3, w} is also linearly dependent.
Suppose that the Internal Revenue Service will audit 20% of income tax returns reporting an annual gross income of over $80,000. What is the probability that of 15 such returns, at most four will be audited?
You walk 105 yards due south, then 127 yards due west, and then 40 yards due north. How far are you from your staring point?
The probability that Linda answers a true/false question correctly is 0.9, and the probability that she answers a multiple-choice question correctly is 0.8. What is her expected score on the final?
Find the range of the sets (a) 12, 6, 7, 3, 15, 10, 18, 5
Prove that the number of partitions of n into three positive summands is equal to the number of partitions of 2 n into three positive summands of size less than n.
Find the length and the width of the rectangle with Perimeter 100ft and the maximum area.
Mayall Corporation is developing standards for its products. Each unit of output of the product requires 0.92 kilogram of a particular input. The allowance for waste and spoilage is 0.02 kilogram of this input for each unit of output.
Find an expression for the surface area - where S is the unit sphere centred at the origin.
An outbreak of a new disease began on a local chicken farm. On what day will the number of infected chickens equal the number of vaccinated chickens?
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