Answer:
A=πr2=π·212≈1385.44236cm²
he elements of the Klein <span>44</span>-group sitting inside <span><span>A4</span><span>A4</span></span> are precisely the identity, and all elements of <span><span>A4</span><span>A4</span></span>of the form <span><span>(ij)(kℓ)</span><span>(ij)(kℓ)</span></span> (the product of two disjoint transpositions).
Since conjugation in <span><span>Sn</span><span>Sn</span></span> (and therefore in <span><span>An</span><span>An</span></span>) does not change the cycle structure, it follows that this subgroup is a union of conjugacy classes, and therefore is normal.
It should take about 13.3 hours
<span>Outcome Bag of Gold Magic Wand
Relative frequency 0.32 0.68
</span><span>The relative frequency of getting a bag of gold is .......... reasonably close
</span>
.32 is close to 30% so
<span>Alison's claim about the theoretical probability is likely to be 2............true
Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%</span>