Three machines-A, B, and C-are used to produce a large quantity of identical parts at a factory. Machine A produces 60% of the parts, while Machines B and C produce 30% and 10% of the parts,
respectively. Historical records indicate that 10% of the parts produced by Machine A are defective,
compared with 30% for Machine B and 40% for Machine C. Suppose we randomly select a part
produced by one of these three machines at random.
a) Draw a tree diagram to represent this chance process. Make sure to include the probabilities of each
branch. (hint: start with three branches) (6 points)
b) What's the probability that the part is defective? (3 points)
c) What's the probability that is from Machine C, given the part is defective? (3 points)

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

overpriced

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.