Which of the following describes an example of independent events?

a.
generating a random number between 1 and 25, and then generating another random number between 1 and 25, excluding the first one picked
b.
generating a random number between 1 and 25, and then generating another random number between 1 and 25, including the first one picked
c.
generating a random number between 2 and 25, and then generating another random number less than the first one picked
d.
generating a random number between 1 and 24, and then generating another random number greater than the first one picked

b

Step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: