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barxatty [35]
3 years ago
7

A conservation biologist is observing a population of mule deer being affected by an unknown virus. Initially there were 125 ind

ividuals but the population is now decreasing by 4% per month. Which function models the number of deer, d, after n months?
Mathematics
1 answer:
kondaur [170]3 years ago
5 0
P=125(1-0.04)^n
..............
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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher
lana66690 [7]

Answer:

a) n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Part a

The estimated proportion for this case is \hat p =0.76

Our interval is at 90% of confidence, and the significance level is given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. The critical values for this case are:

z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The margin of error desired is given ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Replacing we got:

n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

3 0
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Carlton bought stock at $5.25 for each share. The price of the stock decreased $3.75 after one month. It then increased $1.85 an
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Answer:

The price of the stock is now $5.60

Step-by-step explanation:

$5.25 - $3.75 = $1.50

$1.50 + $1.85 + $2.25 = $5.60

8 0
3 years ago
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finlep [7]

Answer:

2 years : $280

10 years: $1400

Step-by-step explanation:

3 0
3 years ago
What is 3 1/8 - 1 7/8=
photoshop1234 [79]

Answer:

1  1/4

Step-by-step explanation:

3 1/8 - 1 7/8

I like to line them up vertically

3 1/8

- 1 7/8

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We need to borrow from the 3

Take 1 from the 3 and make it 8/8

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2 (9/8)

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Write a real word problem that can be represented by the equation a - 6 = 15
chubhunter [2.5K]

Answer: your friend is trying to find out how many canys are in a box(a) and he gives you 6 and has 15 left

Step-by-step explanation:

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