$$P=f(t)$$ gives the size of a population that begins with 19,000 members and grows at a continuous annual rate of 1.71%.

Find a formula for the population.

Find a formula for the population.

Janessa Benson
2022-09-30
Answered

$$P=f(t)$$ gives the size of a population that begins with 19,000 members and grows at a continuous annual rate of 1.71%.

Find a formula for the population.

Find a formula for the population.

You can still ask an expert for help

Quinn Hansen

Answered 2022-10-01
Author has **11** answers

Solution:

Initial population = 19000

Rate of grow =1.71% =0.0171

So, population after one year $$=19000\times (1+0.0171)$$

population after two year $$=19000\times 1.0171\times 1.0171\phantom{\rule{0ex}{0ex}}=19000\times (1.0171{)}^{2}$$

Similiarly

population after 't' years from beginning $$=19000\times (1.0171{)}^{t}$$

$$P=f(t)=19000(1.0171{)}^{t}$$

Initial population = 19000

Rate of grow =1.71% =0.0171

So, population after one year $$=19000\times (1+0.0171)$$

population after two year $$=19000\times 1.0171\times 1.0171\phantom{\rule{0ex}{0ex}}=19000\times (1.0171{)}^{2}$$

Similiarly

population after 't' years from beginning $$=19000\times (1.0171{)}^{t}$$

$$P=f(t)=19000(1.0171{)}^{t}$$

asked 2021-05-14

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.

$\begin{array}{|ccccccc|}\hline 11.8& 7.7& 6.5& 6.8& 9.7& 6.8& 7.3\\ 7.9& 9.7& 8.7& 8.1& 8.5& 6.3& 7.0\\ 7.3& 7.4& 5.3& 9.0& 8.1& 11.3& 6.3\\ 7.2& 7.7& 7.8& 11.6& 10.7& 7.0\\ \hline\end{array}$

a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion.$[Hint.\text{}?{x}_{j}=219.5.]$ (Round your answer to three decimal places.)

MPa

State which estimator you used.

$x$

$p?$

$\frac{s}{x}$

$s$

$\stackrel{~}{\chi}$

b) Calculate a point estimate of the strength value that separates the weakest$50\mathrm{\%}$ of all such beams from the strongest $50\mathrm{\%}$ .

MPa

State which estimator you used.

$s$

$x$

$p?$

$\stackrel{~}{\chi}$

$\frac{s}{x}$

c) Calculate a point estimate of the population standard deviation ?.$[Hint:\text{}?{x}_{i}2=1859.53.]$ (Round your answer to three decimal places.)

MPa

Interpret this point estimate.

This estimate describes the linearity of the data.

This estimate describes the bias of the data.

This estimate describes the spread of the data.

This estimate describes the center of the data.

Which estimator did you use?

$\stackrel{~}{\chi}$

$x$

$s$

$\frac{s}{x}$

$p?$

d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)

e) Calculate a point estimate of the population coefficient of variation$\frac{?}{?}$ . (Round your answer to four decimal places.)

State which estimator you used.

$p?$

$\stackrel{~}{\chi}$

$s$

$\frac{s}{x}$

$x$

a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion.

MPa

State which estimator you used.

b) Calculate a point estimate of the strength value that separates the weakest

MPa

State which estimator you used.

c) Calculate a point estimate of the population standard deviation ?.

MPa

Interpret this point estimate.

This estimate describes the linearity of the data.

This estimate describes the bias of the data.

This estimate describes the spread of the data.

This estimate describes the center of the data.

Which estimator did you use?

d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)

e) Calculate a point estimate of the population coefficient of variation

State which estimator you used.

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