If a man walks around a circle 2.125 times, how many meters did he walk if the radius of the circle is 4m
2 answers:
We are given radius of circle as 4m.
Now if a man walks around a circle means we are considering the circumference here.
Circumference of circle can be found with the formula:
Where r = radius of circle and pi = 3.14
plugging these values in the formula ,
Circumference = 25.12 m
Now distance covered by man when he walks around the circle once = 25.12m
distance covered by man when he walks around the circle 2.125 times = 25.12 *2.125 = 53.38 m
Answer : 53.38 m
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A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find
To find , we need to use z score formula:
When x = 4.2, we have:
When x = 5.1, we have:
Therefore, we have to find
Using the standard normal table, we have:
=
or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%