Which of the following situations represents choosing a random sample?

a. assign each person of the population a number. put all the
numbers into a bowl and choose ten numbers.

b. make a list of everyone in the population and put their
names in alphabetical order. choose every twelfth name.

c. make a list of everyone in the population and put their names in order of age. choose the ten youngest and ten oldest people.

Solve the following inequalities and show the solution on a number line. 3/4 (2x-7) ≤ 5

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

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.