Steve went the the baseball game with some of his friends. He bought 3 packages of peanuts and 4 hotdogs for a total of $14.50.
1 answer:
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Answer:
The difference in per-mile costs for the two companies is $0.12
Step-by-step explanation:
Gabi sets up the equation to find out after how many miles, m, the companies will charge the same amount.
The first company charges for m miles driven.
The second company charges for m miles driven.
In both these functions, numbers 7.20 and 8,40 represent the initial fee the companies charge.
Numbers 0.22 and 0.1 represent per-mile costs.
Thus, the difference in per-mile costs is
Another way to solve this problem is to find the cost per mile driven for each company:
1. Cost per-mile 1st company
2. Cost per-mile 2nd company
3. Difference:
Answers:
Mean = 13.55
Median = 13
Mode = 13
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Explanations
Mean:
To get the mean, multiply the ages with their corresponding frequencies. Then add up the results. I show this in the attached image below. The highlighted yellow cell is the sum of the x*y column (x = age, y = frequency). This value is 718.
Once you get to 718, you divide this over the total frequency which is 7+9+11+10+9+4+3 = 53 (so there is 53 people).
The mean is therefore 718/53 = 13.5471698113208 which rounds to 13.55
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Median:
The median is the middle most value. There are 53 values here (add up the frequencies), so the midpoint is at slot 53/2 = 26.5 = 27. The first 26 values are below the median, and the last 26 values are above the median leaving 53-26-26 = 53 - 52 = 1 value in the very exact center.
Add up the frequencies starting from 7 then to 9, etc until you get to 27. So we have
7+9 = 16 which isn't 27
7+9+11 = 16+11 = 27 perfect, we landed on 27
This means that the last copy of 13 is in slot 27. This is because the last frequency added (11) corresponds to the age 13.
That is why the median is 13
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Mode:
The mode is the most frequent value. Simply record the age that has the highest frequency. In this case, the highest frequency is 11 which corresponds to age 13, pointing to the mode being 13.
