A group of 5 boys and 2 girls are going to sit together in a row of 7 theater seats. They run into the theater and seat themselves randomly. For each of the following, give your answer correct to six decimal places.

(a) What is the probability they will be seated in alphabetical order from left to right?

(b) What is the probability the boys will be seated together and the girls will be seated together?

dunno

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

center= (-2,0)

radius= sqrt2/2

step-by-step explanation: