Answer:
2%
Step-by-step explanation:
In this case each one is an independent event, therefore, the multiplication of each one would be the final probability
We have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles, that is, there are 5 + 4 + 3 12 Marbles in total.
Now if I draw a red one, the probability would be: 5/12
When drawing another red, the probability would be: 4/11
When taking the green: 4/10
When removing the blue: 3/9
Finally, the final probability is:
P = (5/12) * (4/11) * (4/10) * (3/9)
P = 0.020
In other words, the probability of this happening is 2%
Answer:
0.2 - 0.3 pounds
Step-by-step explanation:
Well because I dont know much information about the weight and background of the pencils. My answer may not be correct. But the average weight would be around 0.2 - 0.3 lbs.
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
The answer is 300 divided by 20 which you would get 15.
Hello,
Answer D -3<x<27
Indeed:
1)
if x-12≥0 then x≥12 and
|x-12|=x-12x-12<15 → x<27
so 12≤x<27
2) if x-12<0 then
x<12 and|x-12|=-(x-12)<15
-x+12<15-x<3 → x>-3
So -3<x<12
Thus -3<x<12 U 12≤x<27 ⇔ -3<x<27
