Table: Is it a function? (yes/no) Why or why not?
2 answers:
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Answer:
B
Step-by-step explanation:
If you use the general equation for an arithmetic sequence,
,
where aₙ is the number of minutes for movie n,
a₁ is the length of the first movie in minutes, and
d is the difference between each movie, in minutes
Our sequence is this:
If we want the length of the second movie (we already know the length of the first), we fill in n with 2:
which gives us a length of 72. Now for the length of movie n = 3:
which gives us a length of 74. Now for the length of movie n = 4:
which gives us a length of 76. One more and I'm sure you'll notice the pattern:
which gives us a length of 78. Now we will find the length of the 14th movie and add up by 2's all the way up to that number of minutes:
which gives up a length of 96 minutes. We will add up by 2's from 70 to 96:
For Felix's books, Mean = 11.30769... , Median = 9, Mode = none and Range = 26
For Tyler's books, Mean = 56.56521... , Median = 68, Mode = none and Range = 92
Explanation:
Felix Price
3 4 5 6 7 8 9 11 13 15 18 19 29
Mean is just the average of all numbers. As there is total 13 numbers, so for finding the average, we will divide the Sum of all numbers by 13.
So, Mean =
Median is the middle value in the data set. For finding the median, first we need to rearrange the data set in numerical order, but here the data set is already in numerical order. As there is total 13 numbers, so the middle value will be the (13+1)÷2 = 7th number
3 4 5 6 7 8 9 11 13 15 18 19 29
So, the median is 9
The mode is the number that is repeated more often than any other in the data set, but here all the numbers in this set appear only once.
So, there is no mode.
Range is the difference between the largest and smallest values in the set. The largest is 29 and the smallest is 3.
So, the range = 29 - 3 = 26
Tyler Price
7 8 9 13 16 18 32 36 38 64 66 68 69 75 76 78 79 82 86 89 96 97 99
There are total 23 numbers.
So, the Mean =
The middle value will be the (23 + 1)÷ 2 = 12th number.
7 8 9 13 16 18 32 36 38 64 66 68 69 75 76 78 79 82 86 89 96 97 99
So, the median = 68
Here also all the numbers in this data set appear only once. So, there is no mode.
Largest value is 99 and smallest value is 7.
So, the range = 99 - 7 = 92