Find the magnitude of vector v with initial point ( 0, 2 ) and terminal point ( -4, -6 )

a.

b.

c.

d.

e.


a.

Mathematics

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A traveling saleswoman's territory consists of the 6 cities shown on the following mileage chart. The saleswoman must organize a round trip that starts and ends at Memphis (her hometown) and will pass through each of the other five cities exactly once.Mileage Chart The nearest-neighbor tour starting from Memphis is given by:

A. Memphis, Atlanta, Denver, Houston, Dallas, Kansas City, Memphis. B. Memphis, Atlanta, Denver, Kansas City, Houston, Dallas, Memphis. C. Memphis, Atlanta, Houston, Dallas, Kansas City, Denver, Memphis. D. Memphis, Dallas, Houston, Denver, Atlanta, Kansas City, Memphis. E. none of these

Mathematics

Find the domain and range of the relation.Women's Shoe Sizes

A. domain: {20, 26}; range: {3, 9} B. domain: { 3, 4, 5, 6, 7, 8, 9 }; range: {20, 21, 22, 23, 24, 25, 26} C. domain: { 3,9 }; range: {20, 26} D. domain: {20, 21, 22, 23, 24, 25, 26}; range: { 3, 4, 5, 6, 7, 8, 9 }

Mathematics

Provide an appropriate response.A markup based on cost is generally used by retailers.

A. True B. False

Mathematics

Use Bayes' rule to find the indicated probability.Among students at one college are 3800 women and 3115 men. The following table provides relative-frequency distributions for subject major for males and females at the college. MajorRelative frequency Relative frequency for women for men  Humanities 0.205 0.155Science 0.291 0.313 Social Science 0.149 0.383 Other 0.355 0.149A student is selected at random from the college. Determine the probability that the student selected is female given that he or she is a Humanities major.

A. 0.617 B. 0.113 C. 0.205 D. 0.635

Mathematics