If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have
o
4
o 10
o 12
o
20
o
24
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Number of sides of a regular polygon whose smallest angle of rotation is is 20. so correct option is 20.

Solution:

Need to determine sides of a regular polygon having smallest angle of rotation as

In above case smallest angle of rotation is same as central angle of regular polygon.

So now we need to determine number of sides of regular polygon whose central angle is

Number of sides of regular polygon

So for a regular polygon having central angle =

Number of sides =

Hence number of sides of a regular polygon whose smallest angle of rotation is is 20.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560