There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 sets of random numbers from 1 to 4. The number 3 represents Dane's making a three-point shot. Look at the table.​

the 25% chance is wrong, it is actually 20%

Step-by-step explanation:

Based on the table of trials shown in the picture, it seems that the 25% chance is wrong. In the table, there are 10 trials and each one has 5 numbers generated, meaning there are a total of 50 numbers generated. Out of these 50 numbers, only 10 are the number 3. Since 3 is the only number that represents a three-point shot, that would make it a 20% (10 / 50) chance that Dane makes a three-point shot in a basketball game.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584