Your company is considering offering 900 employees the opportunity to transfer to its new headquarters in Ottawa and, as personn
1 answer:
Answer:
a)
b)
Step-by-step explanation:
Extract information from question:
Manager = M = 100
Factory Workers = FW = 200
Miscellaneous Staff = MS = 900
Total Workers = 1200
Moving Workers = 900
'Combinations' are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations the formula below is used:
where 'n' is the total number of items
'r' is the number of items being chosen at a time
The '!' is the factorial function which is the product of all integers equal to and less than the given integer.
Combinations can be calculated manually using the formula above or by using the nCr function on a scientific calculator.
Part a)
Combinations of all 100 managers being selected
Combinations of 800 of factory workers and miscellaneous staff being selected out of 1100 remaining staff
Total possible unspecified combinations of 900 staff being selected out of 1200 total staff
Probability of all 100 managers being selected:
Part b)
Combinations of 1 out of 100 managers being selected
Combinations of 899 of managers, factory workers and miscellaneous staff being selected out of 1199 remaining staff
Total possible unspecified combinations of 900 staff being selected out of 1200 total staff
Probability of being the 1 manager being selected:
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The area of figure ABCDEF can be computed as the sum of the areas of trapezoid ACDF and triangle ABC, less the area of trangle DEF.
trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
triangle ABC area = (1/2)(AC)(2) = 8
triangle DEF area = (1/2)(DF)(2) = 5
Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42
The actual area of ABCDEF is 42 square units.
trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
triangle ABC area = (1/2)(AC)(2) = 8
triangle DEF area = (1/2)(DF)(2) = 5
Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42
The actual area of ABCDEF is 42 square units.
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