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malacath3394
13.07.2019 •
Mathematics
Sandy and robert each have various polygons in their polygon buckets. sandy randomly selects a polygon from her polygon bucket and robert randomly selects a polygon from his.a. who has a greater probability of selecting a quadrilateral? justify your conclusion.b. who has a greater probability of selecting an equilateral polygon? justify your conclusion.c. what is more likely to happen: sandy selecting a polygon with at least two sides that are parallel or robert selecting a polygon with at least two sides that are equal ? can anyone me with all this. i would appreciate it very much.
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Ответ:
Solution:
we are given that
Sandy and Robert each have various polygons in their polygon buckets. Sandy randomly selects a polygon from her polygon bucket and Robert randomly selects a polygon from his.
A. who has a greater probability of selecting a quadrilateral? Justify your conclusion.
Sandy has greater proabaility(1/2) because in sandy bucket number of Quadrilaterals are more than the Robert(1/5). Also the number of polygon is less in case of Sandy. Hence greater proabaility for Sandy.
B. who has a greater probability of selecting an equilateral polygon? justify your conclusion.
Aagain sandy has greater probability because for sandy its 1/4 and for Robert its 1/5.
C. what is more likely to happen: Sandy selecting a polygon with at least two sides that are parallel or Robert selecting a polygon with at least two sides that are equal ?
Sandy has the probability of
, while RFobert has the probability of
. So again sany has greater probability.
Ответ:
(A)
Number of Quadrilateral in Sandy Bucket =[Square,Rhombus]=2
Number of Quadrilateral in Robert Bucket =[Kite,Quadrilateral]=2
Probability of an event
→Probability of Selecting a Quadrilateral by Sandy
→Probability of Selecting a Quadrilateral by Robert
Selecting a Quadrilateral by Sandy has more probability than Selecting a Quadrilateral by Robert.
(B)
Number of equilateral polygon in Sandy's Bag={Square, Equilateral Triangle,Regular Hexagon}
Probability of selecting an equilateral polygon by Sandy
Number of equilateral polygon in Robert's Bag=0
Probability of selecting an equilateral polygon by Robert=0
So, Probability of selecting an equilateral polygon by Sandy is greater than selecting an equilateral polygon by Robert.
(C)
Selecting a polygon with at least two sides that are parallel
={Square, Rhombus,Regular Hexagon}
Selecting a polygon with at least two sides that are equal
={Isosceles Triangle, Right Isosceles Triangle,Kite}
Probability of Selecting a polygon with at least two sides that are parallel out of four geometrical shapes by Sandy
Probability of Selecting a polygon with at least two sides that are parallel out of four geometrical shapes by Robert
Selecting a polygon with at least two sides that are parallel by Sandy is more likely than Selecting a polygon with at least two sides that are equal by Robert.
Ответ:
Shade the top side of the boundary line if you have the inequality symbols > or ≥. Shade the bottom side of the boundary line if you have the inequality symbols < or ≤.