2 Points
In Springville, the probability that a football team goes to the city playoffs is
0.25. The probability that the team goes to the state playoffs, given that the
team goes to the city playoffs, is 0.40.
What is the probability that a randomly selected team from Springville goes to
the city and state playoffs?
O A. 0.65
O B. 0.15
O C. 0.10
O D. 0.20

0.10

Step-by-step explanation:

0.25 * 0.40 = 0.10

answear:

a

step-by-step explanation: a

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.