To solve: The proportion $\frac{24}{n}=\frac{\frac{8}{15}}{\frac{5}{9}}$ for the given variable n.

Rui Baldwin
2021-08-13
Answered

To solve: The proportion $\frac{24}{n}=\frac{\frac{8}{15}}{\frac{5}{9}}$ for the given variable n.

You can still ask an expert for help

pierretteA

Answered 2021-08-14
Author has **102** answers

Approach:

If two ratios are equal then it is a proportion. If$\frac{p}{q}$ and $\frac{r}{s}$ are two ratios, then $\frac{p}{q}=\frac{r}{s}$ is a proportion.

Ex:$\frac{3}{4}=\frac{15}{20}$

For finding unknown numbers in proportions, we use cross product to find the unknown number.

Ex:$\frac{2}{7}=\frac{x}{14}$

Here in the example x is the unknown number. To calculate the value of x, we use the cross product.

Calculation:

Given$\frac{24}{n}=\frac{\frac{8}{15}}{\frac{5}{9}}$

Apply the cross product in order to find the unknown number.

$24\times \frac{5}{9}=n\times \frac{8}{15}$

Cancel out the common factors.

$\frac{40}{3}=\frac{8n}{15}$

Multiply both the sides by$\frac{15}{8}$

$\frac{40}{3}\times \frac{15}{8}=\frac{8n}{15}\times \frac{15}{8}$

Cancel out common factors

$25=n$

Final statement: The solution for the proportion$\frac{24}{n}=\frac{\frac{8}{15}}{\frac{5}{9}}$ for the indicated variable is $n=25$

If two ratios are equal then it is a proportion. If

Ex:

For finding unknown numbers in proportions, we use cross product to find the unknown number.

Ex:

Here in the example x is the unknown number. To calculate the value of x, we use the cross product.

Calculation:

Given

Apply the cross product in order to find the unknown number.

Cancel out the common factors.

Multiply both the sides by

Cancel out common factors

Final statement: The solution for the proportion

Jeffrey Jordon

Answered 2021-12-17
Author has **2027** answers

Answer is given below (on video)

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.

asked 2021-08-18

To find:

The ratio of whole numbers using fractional notation in simplest form.

The given ratio is 7.7 to 10

The ratio of whole numbers using fractional notation in simplest form.

The given ratio is 7.7 to 10

asked 2021-08-09

The solution of the given proportion.

Given:$\frac{4v+7}{15}=\frac{6v+2}{10}$

Given:

asked 2022-01-21

If 7 apples cost y cents, how many can you buy for x dollars?

a)$\frac{7y}{x}$

b)$\frac{7x}{y}$

c)$\frac{700y}{x}$

d)$\frac{700x}{y}$

a)

b)

c)

d)

asked 2021-01-23

What is the exchange rate between dollars and Swiss francs if one dollar is convertible into 1/20 ounce of gold and one Swiss franc is convertible into 1/40 ounce of gold?

asked 2021-08-15

To find the lowest term of the given ration, D's to A's.

${D}^{\prime}s=3$ and ${A}^{\prime}s=6$

asked 2021-08-17

To define:

Unit price in my own words.

Unit price in my own words.