Question

100 points please help!!!!!!

A figure shows a trapezoid drawn inside a triangle. The area of the trapezoid is 96 mm², and the area of the triangle is 125 mm². A point on the figure is randomly selected, and its location recorded.


After 250 trials, the randomly selected point was in the trapezoid 154 times.


How does the experimental probability of a randomly selected point being in the trapezoid compare to the theoretical probability of the event?


The experimental probability of the event is

Choose...

61.6%, 62.3%, 76.8%

and the theoretical probability of the event is

Choose...

61.6%, 62.3%, 76.8%

. Therefore, the experimental probability is

Choose...

equal to, greater than or less than the theoretical probability.

Answer 1

See below.

Explanation:

area of trapezoid: 96 mm²

area of triangle: 125 mm²

experimental probability of random point being in trapezoid: 154/250 = 61.6%

theoretical probability of random point being in trapezoid: 96/125 = 76.8%

Therefore, the experimental probability is

less than

equal to, greater than or less than the theoretical probability.