According to internal revenue records 1.65 of all household tax returns are audited. according to humane society 38% of all house holds own a dog . Assuming dog ownership and audits are independent events what is the probability of a randomly selected household to be audited and owns a dog

0.627%

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability of a randomly selected household to be audited and owns a dog = P(A ∩ B) = P(A) x P(B)

where A = household tax returns audited

B = percentage of households that own dogs

0.0165 x 0.38 = 0.627%

clock

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.