Let σ Sn, and suppose that σ is written as a product of disjoint cycles. Show that σ is even if and only if the number of cycles of even length is even. Show that σ is odd if and only if the number cycles of even lengthis odd.

The trigonometric ratios sine and secant are reciprocals of each other

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 25002500 grams and a standard deviation of 800800 grams while babies born after a gestation period of 40 weeks have a mean weight of 27002700 grams and a standard deviation of 385385 grams. if a 3232-week gestation period baby weighs 21252125 grams and a 4040-week gestation period baby weighs 23252325 grams, find the corresponding z-scores. which baby weighs lessless relative to the gestation period?

What fraction is equivalent to 0.46464646··· a. 46⁄999 b. 46⁄100 c. 46⁄99 d. 23⁄50