Out of 60 days on 39 of those days she arived at work before 8: 30 asm what is the probability she will arrive at work after 8: 30 am

Out of 60 days a person arrives before 8.30 am for = 39 days

So remaining days left are = days

So probability that a person will arrive after 8.30 am is =

or

Hence, probability is

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

step-by-step explanation: