Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
11th Edition
ISBN: 9780134756967
Author: Hal Saunders, Robert Carman
Publisher: PEARSON
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Chapter 10.1, Problem 8DE
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3. Bayesian Inference – Updating Beliefs A medical test for a rare disease has the following characteristics: Sensitivity (true positive rate): 99% Specificity (true negative rate): 98% The disease occurs in 0.5% of the population. A patient receives a positive test result. Questions: a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.

Chapter 10 Solutions

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

Ch. 10.1 - True or false: There cannot be an obtuse angle in...Ch. 10.1 - What is the sum of the angles in any triangle?Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Prob. 7AECh. 10.1 - Label the shaded angles as acute, obtuse, right,...
Ch. 10.1 - Prob. 9AECh. 10.1 - Prob. 10AECh. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Prob. 3BECh. 10.1 - Prob. 4BECh. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Prob. 7BECh. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Prob. 9BECh. 10.1 - Prob. 10BECh. 10.1 - Prob. 11BECh. 10.1 - Write the following angles in decimal degrees....Ch. 10.1 - Prob. 13BECh. 10.1 - Prob. 14BECh. 10.1 - Write the following angles in decimal degrees....Ch. 10.1 - Prob. 16BECh. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - Prob. 4CECh. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - Prob. 14CECh. 10.1 - Prob. 15CECh. 10.1 - Prob. 16CECh. 10.1 - Prob. 17CECh. 10.1 - C. Solve the following problems involving...Ch. 10.1 - Prob. 19CECh. 10.1 - Prob. 20CECh. 10.1 - Prob. 21CECh. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Prob. 23CECh. 10.1 - Prob. 24CECh. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Sheet Metal Trades A transition duct is...Ch. 10.1 - Prob. 2DECh. 10.1 - Landscaping In problem 2, if shrubs are planted...Ch. 10.1 - Construction The outfield fencing for a Little...Ch. 10.1 - Construction In problem 4, topsoil must be bought...Ch. 10.1 - Life Skills If a car travels 725 miles in 12.5...Ch. 10.1 - Prob. 7DECh. 10.1 - Prob. 8DECh. 10.1 - Prob. 9DECh. 10.1 - Prob. 10DECh. 10.1 - Prob. 11DECh. 10.1 - Plumbing For the connection shown here, calculate...Ch. 10.1 - Prob. 13DECh. 10.1 - Prob. 14DECh. 10.1 - Agriculture A grain conveyor 70 feet long is...Ch. 10.1 - Machine Trades Find the dimension a on the metal...Ch. 10.1 - Metalworking Find the depth d of the V-slot shown...Ch. 10.1 - Metalworking Find the length w in the casting...Ch. 10.1 - Roofing Find the length L of the rafter in the...Ch. 10.1 - Carpentry A carpenter is building a shelf for a...Ch. 10.2 - If one acute angle of a right triangle measures...Ch. 10.2 - Prob. 2LCCh. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 9BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 11BECh. 10.2 - Prob. 12BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 15BECh. 10.2 - Prob. 16BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 18BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Prob. 8CECh. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angel A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.3 - Solve for x:0.5=x16Ch. 10.3 - Which of the following numbers has the most number...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - Prob. 6AECh. 10.3 - Prob. 7AECh. 10.3 - Prob. 8AECh. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - Prob. 4BECh. 10.3 - Prob. 5BECh. 10.3 - Prob. 6BECh. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - Prob. 3CECh. 10.3 - For each problem, use the given information to...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - Prob. 7CECh. 10.3 - Prob. 8CECh. 10.3 - Prob. 9CECh. 10.3 - Manufacturing The most efficient operating angle...Ch. 10.3 - Metalworking Find the angle m in the casting...Ch. 10.3 - Plumbing A pipe fitter must connect a pipeline to...Ch. 10.3 - Aviation A helicopter, flying directly over a...Ch. 10.3 - Metalworking Find the angle of taper on the steel...Ch. 10.3 - Prob. 6DECh. 10.3 - Roofing Find the length of the rafter shown....Ch. 10.3 - Prob. 8DECh. 10.3 - Machine Trades Find the depth of cut x needed for...Ch. 10.3 - General Trades A 20-ft ladder leans against a...Ch. 10.3 - Prob. 11DECh. 10.3 - Drafting Find angle a in the figure. (Express your...Ch. 10.3 - Construction A road has a slope of 225. Find the...Ch. 10.3 - Machine Trades Find the missing dimension d in the...Ch. 10.3 - Prob. 15DECh. 10.3 - Machine Trades Find the included angle m of the...Ch. 10.3 - Machine Trades Ten holes are spaced equally around...Ch. 10.3 - Prob. 18DECh. 10.3 - Construction The Santa Teresa municipal building...Ch. 10.3 - Construction A gable roof is to be constructed...Ch. 10.3 - Prob. 21DECh. 10.3 - Prob. 22DECh. 10.3 - Prob. 23DECh. 10.3 - Surveying A surveyor wants to estimate the width...Ch. 10.3 - Prob. 25DECh. 10.3 - Agriculture A grain conveyor is set at an angle of...Ch. 10.4 - True or false: A triangle can have more than one...Ch. 10.4 - Solve for x:6x=38Ch. 10.4 - Solve each triangle. a = 6.5 ft, A = 43, B = 62Ch. 10.4 - Solve each triangle. b = 17.2 in., C = 44.0, B =...Ch. 10.4 - Prob. 3AECh. 10.4 - Solve each triangle. c = 2300 yd, C = 120, B = 35Ch. 10.4 - Solve each triangle. a = 96.0 in., b = 58.0 in., B...Ch. 10.4 - Solve each triangle. b = 265 ft, c = 172 ft, C =...Ch. 10.4 - Prob. 7AECh. 10.4 - Prob. 8AECh. 10.4 - Solve each triangle. a = 625 ft, c = 189 ft, B =...Ch. 10.4 - Solve each triangle. b = 1150 yd, c = 3110 yd, A =...Ch. 10.4 - Solve each triangle. a = 27.2 in., b = 33.4 in., c...Ch. 10.4 - Prob. 12AECh. 10.4 - Prob. 13AECh. 10.4 - Prob. 14AECh. 10.4 - Prob. 15AECh. 10.4 - Prob. 16AECh. 10.4 - Construction In the channel shown in the figure,...Ch. 10.4 - Construction In the channel shown in the figure,...Ch. 10.4 - Construction A triangular traffic island has sides...Ch. 10.4 - Construction The lot shown in the figure is split...Ch. 10.4 - Carpentry Two sides of the sloped ceiling shown in...Ch. 10.4 - Machine Trades For the crankshaft shown in the...Ch. 10.4 - Prob. 7BECh. 10 - Convert angles between decimal degrees and degrees...Ch. 10 - Find the values of trig ratios. (a) sin 26 (b) cos...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - Prob. 4PCh. 10 - Find the angle when given the value of a trig...Ch. 10 - Round sides to the nearest tenth and angles to the...Ch. 10 - Prob. 7PCh. 10 - Prob. 1APSCh. 10 - Convert the following angles as indicated. Express...Ch. 10 - Convert the following angles as indicated. Express...Ch. 10 - Prob. 4APSCh. 10 - Prob. 5APSCh. 10 - Prob. 6APSCh. 10 - Prob. 7APSCh. 10 - Prob. 8APSCh. 10 - Prob. 9APSCh. 10 - Prob. 10APSCh. 10 - Convert the following angles as indicated. Express...Ch. 10 - Convert the following angles as indicated. Express...Ch. 10 - Convert the following angles as indicated. Express...Ch. 10 - Prob. 14APSCh. 10 - Prob. 15APSCh. 10 - Convert the following angles as indicated. Express...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Prob. 7CPSCh. 10 - Prob. 8CPSCh. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Prob. 12CPSCh. 10 - Prob. 13CPSCh. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - Prob. 9DPSCh. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - Prob. 12DPSCh. 10 - Solve the following oblique triangles. a = 17.9...Ch. 10 - Prob. 2EPSCh. 10 - Solve the following oblique triangles....Ch. 10 - Solve each triangle. b = 87.5 in., c = 23.4 in., A...Ch. 10 - Prob. 5EPSCh. 10 - Solve the following oblique triangles....Ch. 10 - Solve the following oblique triangles....Ch. 10 - Solve the following oblique triangles....Ch. 10 - Machine Trades What height of gauge blocks is...Ch. 10 - Aviation The destination of an airplane is due...Ch. 10 - Carpentry Six holes are spaced evenly around a...Ch. 10 - Machine Trades Find the angle of taper of the...Ch. 10 - Electrical Trades A TV technician installs an...Ch. 10 - Construction A bridge approach shown in the figure...Ch. 10 - Machine Trades The helix angle of a screw is the...Ch. 10 - Construction Find the lengths x and y of the beams...Ch. 10 - Prob. 9FPSCh. 10 - Machine Trades Find the head angle a of the screw...Ch. 10 - Machine Trades A machinist makes a cut 13.8 cm...Ch. 10 - Drafting Determine the center-to-center...Ch. 10 - Machine Trades If a lathe makes 286 revolutions in...Ch. 10 - Automotive Trades The wheels on a car have a...Ch. 10 - Construction An amphitheater is in the shape of a...Ch. 10 - Prob. 16FPSCh. 10 - Agriculture Barley has an angle of repose R of 28...
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