A random sample of 10 one-bedroom apartments from your local newspaper has these monthly rents (dollars).

600, 665, 535, 330, 420, 480, 695, 540, 370, 410

Assume these monthly rents are normally distributed. Do these data give good reason to believe that the mean rent of all advertised apartments is greater than $500 per month?

Step-by-step explanation:

In order to find the mean, add the 10 numbers and then divide by 10. Which results in 504.5, thus greater than the advertised $500 per month.

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.