Check the attached file for the answer.
Given that normally distributed data set has a mean of 55 and 99.7% of data fall between 47.5 and 62.5.
Let s be the standard deviation of data set.
Since 99.7% data fall within 3 standard deviations of mean, z-value for 47.5 and 62.5 has an absolute value of 3.
That is |z|=3
But z=
Let us plugin x=47.5 and mean =55 and equate it to 3.
That is
Since x is always positive ( being standard deviation),
Hence
We will get same value with 62.5 as well.
Hence standard deviation of data set is 2.5.
Answer:
Solution given:
Right angled triangle ABC is drawn where <C=
we know that
Now
left hand side
Substituting value
distributing power
Taking L.C.M
....[I]
In ∆ABC By using Pythagoras law we get
AB²+BC²=AC²
Substituting value of AB²+BC² in equation [I]
we get
=1
Right hand side
<h3>
<u>proved</u></h3>
10,000,000,000×200,000 = 2e+15