Given:
The function is:
The graphs of functions 
and 
.
To find:
The function .
Solution:
We have,
The function is vertically compresses to get the graph of the function . So, the function is:
...(i)
From the given graph it is clear that the graph of the function passes through the point (3,3). So, putting 
and 
in the above function, we get
Putting 
in (i), we get
Therefore, the correct option is D.
A. P(492 < x-bar < 512)
<span>z = (492-502)/100/√90 </span>
<span>z = -0.95 is 0.1711 </span>
<span>z = (512-502)/100/√90 </span>
<span>z = 0.95 is 0.8289 </span>
<span>b. P(505 < x-bar < 525) </span>
<span>z = (505-515)/100/ √90 </span>
<span>z = -0.95 </span>
<span>z = (525-515)/100/ √90 </span>
<span>z = 0.95 </span>
<span>P(-0.95< z < 0.95) = 0.6578 </span>
<span>P(-0.95< z < 0.95) = 0.6578 </span>
<span>c. P(484 < x-bar < 504) </span>
<span>z = (484-494)/100/√100 </span>
<span>z = -1 is 0.1587 </span>
<span>z = (504-494)/100/√100 </span>
<span>z = 1 is 0.8413 </span>
<span>P(-1< z <1) = 0.6826</span>
Answer:
Step-by-step explanation:
We are given: 
We will use integration by parts.
First, divide 1 by 3 and 1 by 2.
1 divided by 3 = <span>0.33333333333
1 divided by 2 = 0.5
Add them up. </span>0.33333333333 + 0.5 = <span>0.83333333333.
Divide </span>0.83333333333 by 2, since there are 2 numbers we added up. 0.83333333333 / 2 = 0.41666666666, and <span>0.41666666666 as a fraction is 5/12.</span>
I think the answer to the question is 25 cm
