Answer:
The area of the sector (shaded section) is 29.51 
.
Step-by-step explanation:
Area of a sector = (θ ÷ 360) 
where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r = 
= 
= 13 m
θ = 360 - (180 + 160)
= 360 - 340
= 
Thus,
area of the given sector = 
x 
x 
= x x x 169
= 29.5079
The area of the sector (shaded section) is 29.51 .
Using sampling concepts, the population and the sample are given as follows:
d. population: 6,000 batches of 100 cards sample: every 100th batch.
<h3>What is sampling?</h3>
It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a <u>group containing elements of a population</u>. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:
- The population is: All New York State residents.
- The sample is the 1000 randomly selected New York state residents.
Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.
More can be learned about sampling concepts at brainly.com/question/25122507
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Answer:
A. 
Step-by-step explanation:
We have been given that f be a differentiable function such that
, 
, 
, and 
. The function g is differentiable and 
for all x.
We know that when one function is inverse of other function, so:
Upon taking derivative of both sides of our equation, we will get:
Plugging 
into our equation, we will get:
Since , then 
.
Since we have been given that , so we will get:
Therefore, and option A is the correct choice.
