Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Question 5: 4) 2006-2012
Question 6: 8x^2+8x+1
Question 7: 2) 2
Question 8: a is picture on top, b is picture on bottom
Using
sum = (n-2)180
= (15-2)180 = 13×180 = 2340°
The Manager ordered 5 Deluxe Violins and 15 Standard Violins.
15 •
500 = 7,500
7,500 + 4,000 = 11,500
5 • 800 = 4,000
Answer:
The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.
Step-by-step explanation:
To solve this question, we use the central limit theorem.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation 
In this problem, we have that:

The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.