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cyhuddwyr9

Answered 2021-05-31
Author has **21782** answers

asked 2021-05-14

Use the given graph off over the interval (0, 6) to find the following.

a) The open intervals on whichfis increasing. (Enter your answer using interval notation.)

b) The open intervals on whichfis decreasing. (Enter your answer using interval notation.)

c) The open intervals on whichfis concave upward. (Enter your answer using interval notation.)

d) The open intervals on whichfis concave downward. (Enter your answer using interval notation.)

e) The coordinates of the point of inflection. \((x,\ y)=\)

a) The open intervals on whichfis increasing. (Enter your answer using interval notation.)

b) The open intervals on whichfis decreasing. (Enter your answer using interval notation.)

c) The open intervals on whichfis concave upward. (Enter your answer using interval notation.)

d) The open intervals on whichfis concave downward. (Enter your answer using interval notation.)

e) The coordinates of the point of inflection. \((x,\ y)=\)

asked 2021-05-14

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

\(\begin{array}{|c|c|}\hline 11.8 & 7.7 & 6.5 & 6 .8& 9.7 & 6.8 & 7.3 \\ \hline 7.9 & 9.7 & 8.7 & 8.1 & 8.5 & 6.3 & 7.0 \\ \hline 7.3 & 7.4 & 5.3 & 9.0 & 8.1 & 11.3 & 6.3 \\ \hline 7.2 & 7.7 & 7.8 & 11.6 & 10.7 & 7.0 \\ \hline \end{array}\)

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

MPa

State which estimator you used.

\(x\)

\(p?\)

\(\frac{s}{x}\)

\(s\)

\(\tilde{\chi}\)

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

MPa

State which estimator you used.

\(s\)

\(x\)

\(p?\)

\(\tilde{\chi}\)

\(\frac{s}{x}\)

c) Calculate a point estimate of the population standard deviation ?. \([Hint:\ ?x_{i}2 = 1859.53.]\) (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?

\(\tilde{\chi}\)

\(x\)

\(s\)

\(\frac{s}{x}\)

\(p?\)

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.

\(p?\)

\(\tilde{\chi}\)

\(s\)

\(\frac{s}{x}\)

\(x\)

\(\begin{array}{|c|c|}\hline 11.8 & 7.7 & 6.5 & 6 .8& 9.7 & 6.8 & 7.3 \\ \hline 7.9 & 9.7 & 8.7 & 8.1 & 8.5 & 6.3 & 7.0 \\ \hline 7.3 & 7.4 & 5.3 & 9.0 & 8.1 & 11.3 & 6.3 \\ \hline 7.2 & 7.7 & 7.8 & 11.6 & 10.7 & 7.0 \\ \hline \end{array}\)

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

MPa

State which estimator you used.

\(x\)

\(p?\)

\(\frac{s}{x}\)

\(s\)

\(\tilde{\chi}\)

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

MPa

State which estimator you used.

\(s\)

\(x\)

\(p?\)

\(\tilde{\chi}\)

\(\frac{s}{x}\)

c) Calculate a point estimate of the population standard deviation ?. \([Hint:\ ?x_{i}2 = 1859.53.]\) (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?

\(\tilde{\chi}\)

\(x\)

\(s\)

\(\frac{s}{x}\)

\(p?\)

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.

\(p?\)

\(\tilde{\chi}\)

\(s\)

\(\frac{s}{x}\)

\(x\)

asked 2021-09-25

Let \(\displaystyle{g{{\left({x}\right)}}}={\int_{{0}}^{{x}}}{f{{\left({t}\right)}}}{\left.{d}{t}\right.}\) where f is the function whose graph is shown in the figure.

(a) Estimate g(0), g(2), g(4), g(6), and g(8).

(b) Find the largest open interval on which g is increasing. Find the largest open interval on which g is decreasing.

(c) Identify any extrema of g.

(d) Sketch a rough graph of g.

(a) Estimate g(0), g(2), g(4), g(6), and g(8).

(b) Find the largest open interval on which g is increasing. Find the largest open interval on which g is decreasing.

(c) Identify any extrema of g.

(d) Sketch a rough graph of g.

asked 2021-06-12

Explain the difference between an absolute minimum and a local minimum.

a) There is no difference.

b) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value on the entire domain.

c) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the smallest function value on the entire domain of f.

d) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value on the entire domain of f, whereas f has a local minimum at c if \(f(c)\) is the largest function value when x is near c.

e) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the largest function value on the entire domain of f.

a) There is no difference.

b) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value on the entire domain.

c) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the smallest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the smallest function value on the entire domain of f.

d) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value on the entire domain of f, whereas f has a local minimum at c if \(f(c)\) is the largest function value when x is near c.

e) A function f has an absolute minimum at \(x=c\) if \(f(c)\) is the largest function value when x is near c, whereas f has a local minimum at c if \(f(c)\) is the largest function value on the entire domain of f.

asked 2021-09-10

Use the given graph of f over the interval (0,7) to find the following.

(b) The open intervals on which f is decreasing.

(Enter your answer using interval notation.)

(c) The open intervals on which f is concave upward. (Enter your answer using interval notation.)

(d) The open intervals on which f is concave downward. (Enter your answer using interval notation.)

(e) The coordinates of the points of inflection.

(x,y)=( ) (smallest x-value)

(x,y)=( )

(x,y)=( ) (largest x-value)