Question

Find the probability that a randomly chosen point lies in the shaded region.
Will attach picture(to the best of my ability)

Answer 1

hold on

Answer 2

don't need the picture
it is the ratio of the shaded region to the total region

Answer 3

If I give you measurements can you work me through that?

Answer 4

find the area of the shaded region, find the area of the total region, take the ratio

Answer 5

is the problem finding the two areas needed?

Answer 6

Yes.

Answer 7

ok well i pretty much suck at geometry, but i could try

Answer 8

Hard to type sorry

Answer 9

The shaded region is the triangle at the bottom

Answer 10

lord

Answer 11

ok we can find that area no problem
use pythagoras to find the missing side, then use one half base times height

Answer 12

let me know when you get x, hint, it is a whole number

Answer 13

x = 15?

Answer 14

yes

Answer 15

so triangle is one half base times height, height is 15, base is 8 get ...

Answer 16

60

Answer 17

ok good
now for the next region ...

Answer 18

What would be it's formula? I don't even know

Answer 19

break it up in to rectangle and triangle

Answer 20

area of rectangle is easy enough right?

Answer 21

Yup, 12 * 8 = 96

Answer 22

and so is the area of the triangle

Answer 23

did you get 20 yet?

Answer 24

Yup

Answer 25

so total area is \[20+96+60\] whatever that is

Answer 26

176

Answer 27

So I would take 60 and divide that by 176 for the %?

Answer 28

ok i believe you
so \[\frac{60}{176}\]

Answer 29

I got 34.09%

Answer 30

if you like percents , ok

Answer 31

Thanks!

Answer 32

yw