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Concept explainers
In Exercises 60-61, construct a Venn diagram and determine the cardinality foe each region. Use the completed Venn diagram to answer the questions.
A survey of 200 students at a nonresidential college was taken to determine how they got to campus during the fall term. Of those surveyed, 118 used cars, 102 used public transportation, and 70 used bikes. Forty-eight students used cars and public transportation, 38 used cars and bikes. Twenty-two students used all three modes of transportation. Of those surveyed,
a. How many used only public transportation?
b. How many used cars and public transportation, but not bikes?
c. How many used cars or public transportation, but not bikes?
d. How many used exactly two of these modes of bikes?
e. How many did not use any of the three modes of transportation to get to campus?
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Chapter 2 Solutions
Thinking Mathematically, Books a la Carte Plus MyLab Math -- Access Card Package (7th Edition)
- Cable AB is 103 ft long and the tension in the cable is 3900 lb. 56 ft D y A B 20° 50° x C Identify the x, y, and z components of the force exerted by the cable on the anchor B. 1 F. FI 3 Fy 2 Match each of the options above to the items below. 2,120 lb 1,120 lb -3,076 lbarrow_forwardIn the given figure, P = 51 lb. 65° 25° 35° 75 lb P B Determine the required tension in cable AC, knowing that the resultant of the three forces exerted at point C of boom BC must be directed along BC. The required tension in cable AC is lb.arrow_forwardhelp on this question about Laplace transformation?arrow_forward
- The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension in cable AB is 190 lb and that the resultant of the load P and of the forces exerted at A by the two cables must be directed along OA, determine the tension in cable AC. 29 in. B 24 in. 36 in. C 25 in. 48 in.. Aarrow_forwardFind the distance (d) from the point (8, -7, -1) to the plane 3x+5y-3z = -60.arrow_forwardThe 60-lb collar A can slide on a frictionless vertical rod and is connected as shown to a 65-lb counterweight C. Draw the free-body diagram of the collar that is needed to determine the value of h for which the system is in equilibrium. -15 in. A 60 lb B C h 65 lbarrow_forward
- Two cables tied together at Care loaded as shown. Given: Q = 130 lb. 30° C B Determine the range of values of P for which both cables remain taut. lbarrow_forwardFind the parametric equation for the line where the planes -4x+y+3x= -11 and -2x+y=3z = 7 intersect.arrow_forwardmatharrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
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