Asocial scientist conducts a study with 10 subjects. in which situations is a permutation necessary to determine the number of possible outcomes ?
select all that apply
a) schedule interviews for all 10 subjects
b) invite 3 subjects to participate in a repeat study
c) select 3 out of 6 sandwiches and 2 out of 4 desserts for the subjects lunches
d) create a seating chart for 10 subjects around a table
e) administer a survey to 6 of the subjects

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.

one fourth of 9% = 2.25%

gavin is correct in saying : the equivalent quarterly interest rate would be

2.25%.