Of 600 students sampled, 480 said they hoped to own a house someday. With 95% confidence, what is the approximate percentage of the students in the
population who hope to own a house someday?
A. 78.4% to 81.6%
B. 75.1% to 84.9%
C. 73.5% to 86.5%
D. 76.7% to 83.3%

D. 76.7% to 83.3%

Step-by-step explanation:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this