In a survey, 125 people were asked to chose one card out of five cards labeled 1 to 5. the results are shown in the table. compare the theoretical probability and experimental probability of choosing a card with the number 1.

The experimental probability to choose card 1 (15/125) is 10 less than the theoretical probability which is 25/125.

The theoretical probability of choosing a card with the number 1 is  (20​%). The experimental probability of choosing a card with the number 1 is (16​%). The theoretical probability is  (greater than ) the experimental probability.

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.

it's d

step-by-step explanation: