Answer:

Explanation:
given,
mean weight of human = μ = 170 lbs
standard deviation = SD = 50 lbs
N = 400 humans
By using central limit theorem,
P (x< 175)




using z-table

hence, the probability that total weight is less tan 175 lbs is equal to

Answer:
m₂ = 3kg
Explanation:
The question wasn't clear about what direction the initial velocity of the second cart was, so I'll assume it was going left at 2.0m/s.
Anyway, this is a conservation of momentum problem. The equation you need to use is the one written in blue. They want you to solve for the mass of the second cart, so do some algebra and rearrange that blue equation in term of m₂.
Now that you have the equation for m₂, plug in all the values given from the question and you'll get 3kg.
<u>Answer:</u>
The height of the cliff in meters = 27.44
<u>Explanation:</u>
The potential energy of a body is given by the expression, PE = mgh, where m is the mass of the body, g is the acceleration due to gravity value and h is the height of the body.
Here we have mass of rock = 13 kg
Potential energy = 3500 J
Acceleration due to gravity = 
Substituting 3500 = 13 * 9.81 * h
h = 27.44 meter
The height of the cliff in meters = 27.44
Since it is a smooth marble and basing from the graph, it has a constant slope, you could just get any two points along the line and get its slope since speed is Δd/Δt. Let the points be (4,6) and (6,9). Thus,
Δd/Δt = (9-6)/(6-4) = 1.5
Thus, the average speed is 1.5 m/s.
Answer:
(3 ) friction hope this is correct