Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
Answer:
650 miles
Step-by-step explanation:
Plan A 49+.12m where m is the miles
Plan B = 36+.14m
We want where they cost the same, so set them equal
49+.12m = 36+.14m
Subtract .12m from each side
49+.12m-.12m = 36+.14m-.12m
49 = 36+.02m
Subtract 36 from each side
49 - 36 = 36-36+.02m
13 = .02m
Divide each side by .02
13/.02 = .02m/.02
650 = m
how are we supposed to make a line plot
The value of the median, lower and upper quartile
- Median = 21.5
- lower quartile = 12
- upper quartile = 29
<h3>What is the five-number summary for this data set?</h3>
The minimum value = 10
The maximum value = 38
The median is the value that is found in the center of the data when it is ordered from lowest to highest. In the event that there is no value that precisely corresponds to the center, the value will be determined by taking the average of the values that are located on each side of the middle.
10 11 12 15 19 24 27 29 33 38
Median = 21.5
The intermediate value of the data that is located to the left of the median is known as the lower quartile.
10 11 12 15 19
lower quartile = 12
The intermediate value of the data that is located to the right of the median is known as the upper quartile.
24 27 29 33 38
upper quartile = 29
In conclusion, the 5 number summary is 10, 12, 21.5, 29, 38 → A
Read more about median
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