Assuming the man works 8 hours straight without breaks:
25% is the same as 1/4 of something.
So, we just have to figure out what 1/4 (one quarter) of 8 equals.
You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.
If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.
Now, 25% (one quarter) of the pizza will equal half of what is left:
If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).
That's it! 25% of 8 hours = 2 hours.
***So, the patrolman spends 2 hours each day completing paperwork.***
Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).
So
25% + 25% + 25% + 25% = 100%
If 100% of the mans shift = 8 hours:
2+2+2+2 = 8
It checks out!
Hope this helps!
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the right triangle ABC find the length side BC
we know that


step 2
In the right triangle ABD find the length side BD
we know that


step 3
we know that
The distance between the two boats is the length side CD

substitute the values

5+7+11=23
3+11+53=67
3+11+61=71
are some examples
Answer:
The value for the original mean = 32
Step-by-step explanation:
Here, we want to calculate the original value of the mean.
Let the number of samples be n
Mathematically;
mean = Total value/n
Now, we added 8 to each of values; total value added = 8 * n = 8n
Now, for the new mean of 40; we have
(Total value + 8n)/n = 40
Total value + 8n = 40n
Total value = 40n -8n
Total value = 32n
kindly recall from the beginning of the solution;
mean = Total value/n
mean = 32n/n
mean = 32
So the original value of the mean is 32