For a science project, two students need to estimate the average height of the 273 students in the senior class at their school. Each student measures the heights of 20 randomly selected members of the senior class. The mean height for one sample is 166 cm, and the mean height for the other sample is 170 cm. Which is the better estimate of the mean height of the students in the senior class? 166 cm

170 cm

Neither result is a good estimate.

Both results are equally good estimates.

Step-by-step explanation:

Neither is a good estimate

20 is too little of a sample, in my opinion, anyway.

30-50 might be better.

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.