Question 3 Define the function coin_simulation_and_statistic, which, given a sample size and an array of model proportions (like the one you created in Q1), returns the number of heads in one simulation of flipping the coin under the model specified in model_proportions. Hint: Think about how you can use the function sample_proportions.

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.