The answer is 1/4
Explanation
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The question focuses on "if the student is known to be a boy..." we would obviously know that we would focous on only the total of the boys.
We have the formula for the probability of an event of happening which we would call event A (a boy being left-handed). P(A)= number of favorable outcomes/ total number of possible outcomes. The left-handers would go in the favorable outcomes since we want the probability of a boy being left handed and we would place the total boys in the total number of possible outcomes since all of them are going to be the one to be randomly picked. 50 left-handed/ 200 total boys. We have our fraction that is 50/200 as the probability but we can simplify it! We simplify 50/200 to get 1/4!!! 1/4 is the probability of a boy being picked that is left-handed!
Hope this helps!
Answer:
15P3 = 15!/ (15-3)! = 15*14*13*12! / 12! = 15*14*13
Step-by-step explanation:
When the seats are empty, there are a total of 15 people that can possibly sit in there. There will only be 1 person left.
When the 1st seat is taken there are now 14 people who can possibly sit on another chair. Same goes when 2 seaats are taken.
To find the total number of possibilities, we multiply together the possible number of people for seat 1, seat2, and seat 3.
Or, if we use stat, nPr = n! / (n-r)!
Meaning:
15P3 = 15!/ (15-3)! = 15*14*13*12! / 12! = 15*14*13
Answer:
New depth of the milk will be 4 cm.
Step-by-step explanation:
If the carton (shaded side) is standing vertically, milk in the box will acquire the dimensions of the box.
Length of the cuboid formed by the the milk = 8 cm
Width = 5 cm
Height = 12 cm
Volume of the cuboid formed by the milk in the carton = Length × width × height
V = 8 × 5 × 12
= 480 cm³
If the carton is turned so that the carton stands on the shaded face,
Volume of the milk remains unchanged but the dimensions of the cuboid formed by the milk inside the carton will get changed.
Length = 15 cm
Width = 8 cm
Height = h cm
Then volume of the cuboid = Length × width × height
V = 15 × 8 × h
480 = 120h
h = 
h = 4 cm
Therefore, new depth of the milk will be 4 cm.
Answer:
I maybe could help you a little bit It seems the the angles <1 and < 3 are the same so I would suspect that < 3 would also be 126 degrees but same goes for < 2 and < 4
Step-by-step explanation:
Im sorry I hope this helps a little
What about if you use the distributive property? You could do 1(x+13) because the 1 would distribute to the x and the 13 making it x+13. Hope that is helpful.