Ateacher is told he will have 20 students in his first-period class this year. he wants to predict the birthday month of his students, so he decides to run a simulation where january = 1, february = 2, etc. use the simulated results to estimate the probability that a randomly picked student will have a september birthday. 9 6 5 8 9 2 4 10 9 7 2 10 12 6 9 2 9 11 1 3

Step-by-step explanation:

The simulation shows a result composed of 20 data.

If January represents month 1 and February represents month 2 then September is represented by number 9.

According to this simulation, the probability of a randomly selected student having birthdays in September is:

Where is the frequency of 9. That is, is the number of times the number 9 appears among the 20 data

Therefore:

468

Step-by-step explanation:

The volume of a cube is V = s³. Fin the volume of each cube separately and add together for the volume all together.

The small cube has side length 5 so V = 5³ = 125.

The large cube has side length 7 since 12 - 5 = 7. So V = 7³ = 343.

Together the volume is 125 + 343 = 468