A carousel horse travels on a circular path with a radius of 15 feet. How many feet does the horse travel over an angle of 2pi/3 radians? Round to the nearest foot.

31 foot

Step-by-step explanation:

Radius of the circular path = 15 feet

Angle of horse travel on a circular path =  radians = Central Angle

Central angle = degrees = 120°

Distance travelled by the carousel horse on the circular path over an angle of = Arc length

We can use the formula below to calculate arc length;

°

Arc length =

Arc length = 31.4 foot

Arc length (rounded to the nearest foot) = 31 foot

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.