1. What is the 10th term of an arithmetic sequence 15,9,3,-6....?
1 answer:
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The sister catches up Jeff after 2 hours
Step-by-step explanation:
We can write Jeff's position and his sister position at time t using the following expressions:
- Jeff position:
where:
7 is the initial position of Jeff when his sister sarts chasing him
2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour
t is the time measured in hours
- Sister position:
where
6 is the sister velocity (her position increases by 6 miles for every hour)
t is the time measured in hours
The sister catches up Jeff when the two positions are equal, so
And solving for t,
So, the sister catches Jeff after 2 hours.
Learn more about speed:
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The upper 70th percentile is the number below which 70% of the data lie.
The 70th percentile position is given by:
Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).
Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74
The 25th data in the data set is 58.
Therefore, the upper P70 is 58.
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The 70th percentile position is given by:
Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).
Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74
The 25th data in the data set is 58.
Therefore, the upper P70 is 58.
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