You have tested to find whether a relationship exists between hours of sleep the night before an exam and grade on the exam. You have a participant pool of n = 28, df = 26. Your hypothesis is that a significant relationship will exist, where those with more hours of sleep receive higher grades on the exam. This is a directional hypothesis, so you run a one-tailed test, with α = 0.05. You run the numbers and find a correlation of 0.243. Doing the math, you find t = 1.278. The critical value needed is and you conclude that your correlation is .

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.

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.