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To find the length of PR, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, PR must be less than the sum of PQ and QR, so PR < 20 + 22 = 42. Therefore, PR could be any value less than 42.
The following is the probability of obtaining 4 ones IN THE FIRST FOUR rolls of a fair die. Pr(4 1's) = Pr(1)*Pr(1)*Pr(1)*Pr(1) since the events are independent. Pr(4 1's) = Pr(1)4 = (1/6)4 = 1/1296 = 0.000772
if a is bigger than b and b is bigger than c a must be bigger than c... Transitivity
Around $160. http://www.pcgs.com/prices/PriceGuideDetail.aspx?MS=1&PR=1&c=744&title=Morgan+Dollar
p(q + r) = pq + pr is an example of the distributive property.