Roper is not using a simple random sample. The samples are calculated to get 500 males and 500 females. This would be very unlikely or improbable to take place in a simple random sample. The design that they are using is a stratified sampling (dividing the population into groups) with 2 strata and these are the males and females.
Let x be the time it takes Elias and Niko to polish the silver working together. If Elias works alone, he could polish all the silver himself in 40 minutes. Then, in 1 minute, he will make 
of the total work. If the same analysis is applied Niko, in 1 minute, will make 
of the total work.
Working together Elias and Niko will need x minutes to make all the work. Then, in 1 minute, they will make 
of the total work. So, the fraction of the total work they make in 1 minute is given by this equation:
Answer:
Your answer would be 14,880, so it would be greater than 12,400.
12,400 * 1 1/5 = 14,880
Formula: A = P(1 + rt)<span>
P= 2,900
R= 10%
T= 5 years
Answer: $4,350.00</span>
Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
