Total number of cars = Number of trains Number of cars in each train = = 14
Number of people in each car = 16
Total number of people in 14 cars = Number of people in one car Number of cars = 16 14 = 224
i.e.
Total number of people in the roller coaster in one run = 224
Number of runs made by each train in one hour = 10
Therefore, Total number of people that can ride the roller coaster in one hour can be found by multiplying the number of runs with total number of people in the roller coaster in one run.
By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.
So naturally, lets divide 120 by an easy prime number. We know that 120 is even, so lets try 2
120/2 = 60
lets keep dividing it by two until it becomes odd or prime
60/2 = 30
30/2 = 15
now lets see, what are some factors of 15?
Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
120/2 = 60
60/2 = 30
30/2 = 15
and 15 is just 3 x 5, so:
<span> 120=(<span>23</span>)×(3)×(5)</span>
or
<span><span> 120 = 2 × 2 × 2 × 3 × 5</span></span>
In order the numbers are 20, 29, 32, 37, 42. So that means the median is 32. In order for the median to stay the same one of the three data values must be 32 as well as adding a number to each side of the ends. One 32 or less another 32or more. The mean right now is: 20+29+32+37+42=160 and there are 5 values. Mean: 160/5=32 For it to increase by 10 it has to be 42. extra 3 numbers I used were 31, 32, & 113 (those are your answer)