Vagotonusybk
2022-02-10
Answered

Maya has 2x as many white beads as black beads. After using 40 white and 5 black to make a necklace she has 3x as many black beads as white. How many black beads she started with?

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Alaina Contreras

Answered 2022-02-11
Author has **19** answers

Step 1

Suppose Maya has B black beads and so has 2B white beads.

She used 5 black beads and 40 white beads,

so she was left with

Now as she has 3 times as many black beads as white,

or

or

or

Hence, she started with 23 black beads.

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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