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Fed [463]
3 years ago
12

Let the mean of the population be 38 instances of from 6" - 9" hatchings per nest, and let the standard deviation of the mean be

4. What sample mean would have a confidence level of 95% or a 2.5% margin of error? 32 34 36 38
Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0

Answer with explanation:

Mean of the population having 6"-9" Hatching =38

Standard Deviation =4

Confidence interval of 95% means that 95% of data lie within two standard deviations.

That is data values lie between 38-2×4 to 38 +2×4.

⇒Which is 38-8 to 38+8.

⇒30 to 46.

it is also given that margin of error is 2.5%.

So, the data value will lie between

30-30*\frac{2.5}{100} {\text{to}} 46 +46*\frac{2.5}{100}\\\\ 30-0.75 {\text{to}}46+\frac{115}{100}\\\\ 29.25 {\text{to}}47.15

Mean of beginning value to extreme value of 95% confidence level

   =\frac{29.25+47.15}{2}\\\\=38.20

So, Sample mean of this observation having 2.5% margin of error = 38

Option D:→ 38

   

Lisa [10]3 years ago
4 0
I saw 34 I'm trying that now
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Answer:

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Step-by-step explanation:

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Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account that earns 4% interest per year
eduard

Answer:  The answers are given below.

Step-by-step explanation:  Given in the question that Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account that earns 4% interest per year and the rest to a traditional account that earns 5% interest per year.

(A) Let, '$y' be the amount of money Kent invested in the traditional account, then we have

y=5000-x.

This is the required expression.

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and amount of money in the traditional account will be

M_t=(5000-x)+\dfrac{1\times 5\times (5000-x)}{1000}=(5000-x)+\dfrac{5000-x}{200}\\\\\\\Rightarrow M_t=\dfrac{201(5000-x)}{200}.

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M=M_b+M_t=\dfrac{26}{25}x+\dfrac{201(5000-x)}{200}=\dfrac{208x+1005000-201x}{200}\\\\\\\Rightarrow M=\dfrac{7x+1005000}{200}.

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M=\dfrac{7\times 500+1005000}{200}=\dfrac{1008500}{200}=\dfrac{10085}{2}=5042.5.

Thus, Kent will have $5042.5 in his retirement plan after 1 year.

4 0
3 years ago
Estimate the instantaneous rate of change at the point indicated. (Round your answer to four decimal places.) y(x) = 1 x + 2 ; x
Wittaler [7]

Answer:

-1/36

Step-by-step explanation:

Estimate the instantaneous rate of change at the point indicated

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f(x)=\frac{1}{x+2}

To find derivative we apply power rule

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f'(x)=\frac{-1}{(x+2)^2}

Now plug in 4 for x in f'(x)

f'(4)=\frac{-1}{(4+2)^2}

f'(4)=\frac{-1}{36}

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VikaD [51]

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