The ages of members of a bowling league are normally distributed with a mean of 43 years and a standard deviation of 4 years. there are 200 members in the league.

About how many members are expected to be between 35 years old and 51 years old?

136
160
183
190​

35  is  2 standard deviations BELOW the mean of 43

51  is  2 standard deviations ABOVE the mean of 43

find z - score for + 2 S.D.     then subtract the z-score for  - 2 S.D.    

  This is the percentage ( in decimal form)    of 200 members between the ages of 35 and 51        Can you finish?

the answer is (-4,-4)

hope this ! : d

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.