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Distinguishable as in clear?

Rose is correct

The probability that the  second woman receives a pink rose is dependent upon what the first woman receives

If the first woman does not receive a pink rose....the probabilty of the second woman receiving one is 4/ 14 =  2 / 7

It the first woman does receive a pink rose....the probability of the second woman receiving one is  3 / 14 

Ok, I'll try thank you.

We have a total of  8 + 12 + 6 + 2  =   28 students

Of these....2 are  in Group 4...so...the probaility  is

[  Number in Group 4  ] /  [ Total Number  ] =   2  / 28 =   1 / 14

Thank You!

Why?

I think it's dependant.... 

Indeed

Hey...we  BOTH got the  correct answer....two great minds can't possibly be wrong....LOL!!!!

Oh lol CPhill you beat me to it

Around 22? Did I do it right? 

1,060 - 150 = 910/40 = 22.75

We need to  solve this

150  + 40N  ≤ 1060        where  N  is the max number of boxes that can be brought at one time

Subtract  150   from  both sides

40N ≤  910       divide both sides  by 40

N ≤ 22.75

So...22  boxes at one time  [ if we can't bring "partial" boxes  ]

Simple...

"Magic"   !!!!

[ As my Algebra 2 teacher used to say..... ] 

Correct....good job  !!!!

21. 6

OK....good deal  !!!!

21.

The perimeter of a triangle =  the sum of the sides

So.....we need to solve this

x + ( x + 3)  + (x + 5)   = 26

Can you take it from there, critical ???   [ P.S......if so....post your answer and  I'll check it  ]

22.

Mmmm...this is a more interesting problem  !!!

The radiator holds 480  oz of fluid and leaks at 4 oz / min

So...the number of minutes it takes to  drain is  just  480  / 4   = 120  minutes  = 2  hrs

Since the truck travels at 35 mph...the distance it travels before the radiator is empty  is

35 mph x 2 hours  =   70  miles

Thats what i also thought, thank you!

Just plug  210 [ for  x ]  into  y = 50x +200 

And 195  [for x ]  into y  = 150 + 55x

And 185 [ for x ]  into y =  60x

Evaluate all three

Whichever gives the minimum value is the contractor that should be chosen.....

Thanks, Fiora and Sincerelyrose....

Here is the proof :

Since  BD   = AB...then angles ADB  and DAB  are equal

And angle AEB  = 90

And since the diagonals bisect each other...then AE  = BE

So...angles DBA  and CAB  are equal  = 45

Then...in triangle DAB....angle DBA  =  45

Andl angles DAB  and ADB  are equal....so

DAB  =  [180 - mDBA] / 2  =   [ 180 - 45 ] /  2 =   135 / 2  = 67.5

And...using the same sort of argument, we can show that angle  CBA  also  =  67.5

And.....these are the  two acute angles of the trapezoid....so their sum  = 135

How does it work....? 

HAHAHA!!!!!....not too hard,  MJ  !!!!!

Thanks, Alan !!!!

Gosh that's complicated : x