A system contains two components, A and B. The system will function only if both components function. The probability that A functions is 0.98, the probability that B functions is 0.95, and the probability that either A or B functions is 0.99. What is the probability that the system functions?

Probability that the system functions = 0.94 .

Step-by-step explanation:

We are provided that a system contains two components A and B. The system will function only if both components function means system will not function if only one component functions.

Also, Probability that A functions, P(A) = 0.98

         Probability that B functions, P(A) = 0.95

         Probability that either A or B functions, P(A B) = 0.99

Now we have to calculate the Probability that the system functions which mean Probability that both system will function, P(A B);

   Since, P(A B) = P(A) + P(B) - P(A B)

                 0.99   = 0.98 + 0.95 - P(A B)

Therefore, Probability that the system functions, P(A B) = 0.94 .

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

answer: y=4000x+14000

step-by-step explanation: