Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble 
= 12.3 gm
Velocity of 
before collision 
= 15.5 cm/s
Velocity of after collision 
= 77.5 cm/s
Marble 2:
Mass of the marble 
= 24.6 gm
Velocity of 
before collision 
= 62 cm/s
Velocity of after collision 
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒ 
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒ 
...subtracting both sides 953.25
⇒ 
⇒ 
...dividing both sides with 24.6
⇒ 
⇒ 
cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.
Area of the triangle:
A = 1/2 · c · b · sin A =
= 1/2 · 30 · 14 · 0.766 ≈ 160.87 ft²
Answer: 160.87 ft²
Answer:
2x+4y-12
Step-by-step explanation:
2x+4y-12
Answer:
<h2>Option 2 is the right answer.</h2>
Step-by-step explanation:
We need to check if the two characteristics, <u>having blue eyes and being deaf are independent of each other or not</u>.
The above two characteristics will be independent if ![[Probability of being deaf with blue eyes] = {Probability of being deaf } {Probability of having blue eyes}](https://tex.z-dn.net/?f=%5BProbability%20of%20being%20deaf%20with%20blue%20eyes%5D%20%3D%20%7BProbability%20of%20being%20deaf%20%7D%20%7BProbability%20of%20having%20blue%20eyes%7D)
Now, the probability of having blue eyes is 
.
The probability that the Dalmatians will be deaf is 
.
The probability of being deaf with blue eyes is 
.
Since, 38 is not equals to 42, the two characteristics are not independent.
