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

17. a
18. c
19. a
20. c
21. c
The force generated by a magnetic field B perpendicular to a wire carrying a current I is

where L is the length of the wire.
If we divide both sides for L, we get

where the ratio on the left is the force per meter of length, which is exactly what we want to find. So:
The static frictional force is greater than the kinetic frictional force, so the static frictional force is greater than 1200 N.
Answer:
Explanation:
The time period of the pendulum containing simple pendulum is given by

where, L is the length of the pendulum and g is the value of acceleration due to gravity.
The time period of the clock using the spring mechanism is given by

where, m is the mass of the block attached to the spring and k is the spring constant.
here we observe the time period of the pendulum depends on the value of acceleration due to gravity. The value of acceleration due to gravity decreases as we go on the heights that means when the clock is taken to the mountain, the value of g decreases and thus, the value of time period increases and the clock runs slow.
So, the clock containing the spring system gives the accurate reading rather than the clock containing simple pendulum.