The mean absolute deviation is the average of the average. It shows the average distance of the numbers in a data set from the mean. After finding the mean, you find the absolute value of the distance between each number, and find the mean of those numbers to find the mean absolute deviation.
The partial sum of a geometric sequence is
In your case a=3, so if we sum N terms of the sequence we have
We want this to me more than 1 million, so we have
Considering the log (base 3) of both sides, we have
So, starting from N=13, the sum of the first N terms will be more than 1 million
Answer:
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
Step-by-step explanation:
Let the cost of each drink be d
Let the cost of each popcorn be p
Steven spends $138.50 for 12 drinks and 5 bags of popcorn. This implies that:
12d + 5p = 138.50 _________ (1)
Jennifer buys two drinks and seven bags of popcorn for a total of $57. This implies that:
2d + 7p = 57 ______________(2)
We have two simultaneous equations/
12d + 5p = 138.50 _________ (1)
2d + 7p = 57 ______________(2)
Multiply (2) by 6 and subtract (1) from it:
12d + 42p = 342
- 12d + 5p = 138.50
———————————
37p = 203.5
p = $5.5
Puutting the value of p back in (2):
2d + 7(5.5) = 57
2d + 38.5 = 57
2d = 57 - 38.5 = 18.5
d = 18.5 / 2 = $9.25
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
Answer:
yes
Step-by-step explanation: