Given:
The function is:

To find:
The value of
.
Solution:
We have,

Putting
, we get



On combining like terms, we get


Therefore, the required function is
.
Answer:
Sarah have
bottle of water.
Step-by-step explanation:
We are given that,
Total number of bottles = 5
As, each bottle is divided into 4 portions.
The amount of water per person = 
Further, Sarah took 1 portion from each bottle and there are 5 bottles.
So, the amount of water Sarah have =
= 
Hence, Sarah have
bottle of water.
Answer:
Step-by-step explanation:
1. To find the area of a semicircle the formula is

The square

2. Triangle

Rectangle


3.
Semicircle

Square


Answer: If the level of confidence is increased without changing the sample size then<em> </em><u><em>The margin of error will decrease because the critical value will decrease. The decreased margin of error will cause the confidence interval to be narrower.</em></u>
where;
<em>Margin of error = Critical value × Standard deviation</em>
<em>Here, it can be duly noted that Margin of error has a positive relation with critical value, i.e </em><u><em>The margin of error will decrease because the critical value will decrease.</em></u>
<u><em>whereas;</em></u>
The confidence interval is <em>the value ± the margin of error.</em>
<em>Therefore, </em><u><em>the decreased margin of error will cause the confidence interval to be narrower.</em></u>