Given the speeds of each runner below, determine who runs the fastest. stephanie runs 10 feet per second. stephanie runs 10 feet per second. liz runs 420 feet in 46 seconds. liz runs 420 feet in 46 seconds. adam runs 1 mile in 427 seconds. adam runs 1 mile in 427 seconds. emily runs 667 feet in 1 minute. emily runs 667 feet in 1 minute. stephanie stephanie liz liz adam adam emily emily submit answer

9514 1404 393

  Adam

Step-by-step explanation:

It is pretty easy to make comparisons to 10 ft/s.

If Liz ran 10 ft/s, she would run 460 ft in 46 s. Since she runs 420 ft, she runs slower than that.

If Emily ran 10 ft/s, she would run 600 ft in 1 minute, so Emily runs faster than that.

If Adam ran 10 ft/s, he would only run 4270 ft in 427 seconds. Since he runs 5280 ft in that time, his speed is definitely greater than 10 ft/s.

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At this point, we know that Adam and Emily run faster than Liz and Stephanie. So we need to compare Adam and Emily's rates.

Adam's time for 1 mile is about 7 minutes. If Emily ran for 7 minutes, her distance would be less than 7×700 ft = 4900 ft, substantially less than 1 mile (5280 ft).

Adam runs the fastest.

Comment on straightforward solution

Each rate can be computed by dividing distance by time:

  Liz: (420 ft)/(46 s) = 9.13 ft/s

  Adam: (5280 ft)/(427 s) = 12.37 ft/s

  Emily: (667 ft)/60 s) = 11.12 ft/s

Adam's is the highest, well above Stephanie's 10 ft/s.

These calculations require a calculator. The solution above was done without a calculator.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.