Martha, Andre, Erika, Donald, and Jane are running for 12th grade class offices. They will be named to the positions of president, vice-president, secretary, treasurer, and parliamentarian
according to the number of votes each receives. The person with the most votes will be
president, the person with the second-highest number of votes will be vice-president, and so on.
In how many different ways can the five students form a set of class officers?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

The tile along the edge of a triangular community pool needs to be replaced? ?