The numbers 1 through 10 are written on individual cards and
placed in a bag. If you reach
into the bag and grab one card,
what is the probability that you
will grab the number 2 card?

1/10

Step-by-step explanation:

SInce there are a total of 10 cards and only one card with the number 2, then out of the ten cards you only have a 1/10 chance of grabbing the number 2 card! Hope this helps :)

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