Twelve flags are evenly spaced around a running track. Ryan started running at the first flag and took 30 seconds to reach the s
ixth flag. How many seconds did it take Ryan, running at a constant rate, to reach the nth flag for the mth time?
1 answer:
Answer:
Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.
Step-by-step explanation:
It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him
30 * 6/3 = 36 seconds to make one complete round.
or it takes 6 seconds to run from one flat to the next.
To reach the nth flag (n=1,2,3,4,5, or 6)
Ryan takes 6(n-1) seconds.
To reach it the mth times, he needs to add 36(m-1) seconds.
So time it takes Ryan to reach the nth flag for the mth time takes
6(n-1) + 36(m-1)
= 6n - 6 + 36m - 36
= 6n+36m -42 seconds
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Answer:
- <u><em>Option b. just below 30%</em></u>
<u><em></em></u>
Explanation:
Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>
<em />
The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.
Since there are 25 business schools, the middle value is the number 13.
The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:
- The first bar has frequency of 1 school
- The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
- The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
- The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.
Then, the 13th value is on the next bar, the fifth bar.
The fifth bar has acceptance rates 25 ≤ rate < 30.
That means that the median acceptance rate is greater than or equal to 25 and less than 30.
Thus, the choice is the option <em>b. just below 30%.</em>
