Aprize bag contains four country music cds, eight pop music cds, and five classic rock cds. what is the probability of pulling out a classic rock cd and then, without replacing it, pulling out a country music cd?

Step-by-step explanation:

We have been given that a prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.

Total number of possible outcomes .

The probability of pulling out a classic rock CD would be .

Since the replacement is not allowed, so total number of CD's would be 1 less than 17 that is 16.

The probability of pulling out a country music CD would be .

Now to find the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD, we will multiply both probabilities as:

Therefore, the probability of pulling out a classic rock CD and then, pulling out a country music CD without replacing it 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

6 on both sides and twelve on the top and the bottom

step-by-step explanation: