Answer:
Here's what I find.
Step-by-step explanation:
You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.
a) i) The recursive formula
Let dₙ = the deer population n years after the initial measurement.
![d_{n} = d_{n - 1}r^{n}](https://tex.z-dn.net/?f=d_%7Bn%7D%20%3D%20d_%7Bn%20-%201%7Dr%5E%7Bn%7D)
For this situation,
![d_{n} = d_{n - 1}(0.5)^{n}](https://tex.z-dn.net/?f=d_%7Bn%7D%20%3D%20d_%7Bn%20-%201%7D%280.5%29%5E%7Bn%7D)
a) ii) Definitions
n = the number of years from first measurement
r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.
a) iii) First term of sequence
The first term of the sequence is d₀, the population when first measured.
b) The function formula
The formula for the nth term of a geometric series is
![d_{n} =d_{0}r^{n - 1}](https://tex.z-dn.net/?f=d_%7Bn%7D%20%3Dd_%7B0%7Dr%5E%7Bn%20-%201%7D)
c) Value of d₀
Let n = 2; then d₂ = 800
![\begin{array}{rcl}800 & = & d_{0}(0.5)^{2 - 1}\\800 & = & d_{0}(0.5)\\\\d_{0} & = & \dfrac{800}{0.5}\\\\& =&\mathbf{1600}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D800%20%26%20%3D%20%26%20d_%7B0%7D%280.5%29%5E%7B2%20-%201%7D%5C%5C800%20%26%20%3D%20%26%20d_%7B0%7D%280.5%29%5C%5C%5C%5Cd_%7B0%7D%20%26%20%3D%20%26%20%5Cdfrac%7B800%7D%7B0.5%7D%5C%5C%5C%5C%26%20%3D%26%5Cmathbf%7B1600%7D%5C%5C%5Cend%7Barray%7D)
Answer:
Step-by-step explanation:
From the information given,
The null hypothesis is
H0:p = 0.40 H0:p = 0.40
The alternative hypothesis
Ha:p < 0.40 Ha:p < 0.40.
The p value of 0.033
The decision rule states that
If the significance level, α < the p value, we would accept the null hypothesis.
If the significance level, α > the p value, we would reject the null hypothesis.
From the given options,
D) At the significance level α=0.05, the null hypothesis is rejected. There is convincing evidence to support the claim that fewer than 40% of the students at the local university read at least one book last year.
Answer:
2/3
hope this helps
have a good day :)
Step-by-step explanation:
I am sorry but what level is this
Answer:
see below
Step-by-step explanation:
start with cos (x)
amplitude 4
4 cos x
midline 2
4 cos (x ) + 2
period of 1 : 2 pi / 1 = 2 pi
multiply x by 2pi
<u> 4 cos ( 2 pi x) + 2 </u>