Mensa is an organization whose members possess IQ's in the top 2%. It is reasonable to assume IQ is normally distributed with mean 100 and standard deviation of 16. (a) Find the IQ needed to be a member of Mensa. (b) All students at a particular university have an IQ over 120. If a random student from this university is selected, find the probability their IQ is above that needed to be accepted to Mensa. (c) Find the probability that a random persons IQ is above 120.

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.