Answer:
78.40
Step-by-step explanation:
Take 9.80 and times it by 8 to get 78.40
Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.28.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
10g = 4/6....divide both sides by 10
g = (4/6) / 10
g = 4/6 * 1/10
g = 4/60 which reduces to 1/15 <==
Answer:
The estimated Rabbit population by the year 2036 is 32,309 rabbits
Step-by-step explanation:
In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.
An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.
Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I
Mathematically, we have the decay function as;
P = I(1-r)^t
From the question, we identify these values as;
P = 144,000 : r = 7.2% = 7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years
Let's plug these values;
P = 144,000(1-0.072)^20
P = 144,000(0.928)^20
P= 32,309
