iosangel:
A point is selected at random inside the given figure. What is the probability the point will be in the region labeled D? Choose your answer, as a fraction in simplest form. P(D) =
Hero:
\(P(D) = \dfrac{\text{Area of region D}}{\text{Area of entire rectangular region}}\)
Hero:
That's your hint
iosangel:
4/19
iosangel:
?
Hero:
Mind explaining how you came up with that fraction?
iosangel:
Yah, 4 is Area of region D and 19 is I added all of the number and got 19....
Hero:
BTW, @iosangel what is the formula for Area of a rectangle?
iosangel:
w*l
iosangel:
How do i ind the area of that? its split in halves
iosangel:
find*
Hero:
What is the length and width of rectangle D?
iosangel:
3 and 4...
iosangel:
Oh lol, so 4 *3
Hero:
Does 3 and 4 really represent the entire length and width of D? The length of D seems a lot longer than 4 to me.
iosangel:
Uh, 5?
Hero:
Why do you think 5 represents the length of D?
iosangel:
I have no idea, but I think it would be 12 since 3*4 is 12... l*w.... right?
Hero:
|dw:1524500723593:dw| that length is only 4? Really?
iosangel:
Ohh, its 9
Hero:
Very good. So what is the area of D?
iosangel:
9
iosangel:
or 27
iosangel:
@Hero don't leave MEH~~~~~ ik I'm dumb, my teacher doesnt explain any math to me.......
Hero:
Yes, The Area of D is 27 which would be the numerator of the fraction. Now for the denominator ... Can you calculate that?
iosangel:
I'll try....Width would be 5 and length would be 12?
iosangel:
and then 5*12?.....
iosangel:
Right?
Hero:
Let me do some more highlighting
Hero:
|dw:1524501381881:dw|
Hero:
|dw:1524501395147:dw|
iosangel:
5 is the width and 3 is the length... so 15?
iosangel:
No, it isnt 15...
Hero:
You figured out the correct answer for D. I wonder how you did that. The width of the entire rectangle is the same as the length of D
iosangel:
Oh yes
Hero:
Or I should say the width of the BIGGEST* rectangle is the same as the length of rectangle D. Do you see that?
Hero:
Anyway, I think you confuse yourself too easily. The hints I give are pretty clear.
iosangel:
It's be 9 then.....
Hero:
Yes, and what about the length of the BIGGEST rectangle?
iosangel:
30
Hero:
That's too big actually.
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