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Theoretical probablity=desiredoutcomes/totalpossibleoutcomes
desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100
so theoretical probablity=20/100=2/10=0.2=20%
Answer:
Actual distance between the two cities given on the map = 78.0 miles
Step-by-step explanation:
Scale used for the actual distance between two cities on a map is,
5 in. = 15 mi.
in. =
mi.
1 mi. =
in.
1 inch = 3 miles
Therefore, 26 inches on the map = 26 × 3
= 78 miles
Therefore, actual distance between the two cities given on the map = 78.0 miles
Answer:
101.07ft^2
Step-by-step explanation:
Given data
radius= 5ft
h= 9ft
When the radius and height are both multiplied by 1/2
radius= 5/2ft = 2.5ft
height= 9/2 ft= 4.5ft
The expression for the surface area of the cone is
A=πr(r+√h^2+r^2)
Substiute
A= 3.142*2.5(2.5√4.5^2+2.5^2)
A= 7.855(2.5√20.25+6.25)
A= 7.855(2.5√26.5)
A= 7.855(2.5*5.147)
A=101.07 ft^2
Hence the surface area is 101.07ft^2