Do $\frac{9}{24}$ and $\frac{15}{40}$ form a proportion?

logosomatw
2022-01-23
Answered

Do $\frac{9}{24}$ and $\frac{15}{40}$ form a proportion?

You can still ask an expert for help

Micah May

Answered 2022-01-24
Author has **11** answers

Step 1

A proportion is an equality of 2 fractions, so to check if 2 fractions form a proportion you have to check if they are equal.

$L=\frac{9}{24}=\frac{3}{8}$

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

Both sides are equal, so the fractions form a proportion.

$\frac{9}{24}=\frac{15}{40}$

A proportion is an equality of 2 fractions, so to check if 2 fractions form a proportion you have to check if they are equal.

Both sides are equal, so the fractions form a proportion.

saennwegoyk

Answered 2022-01-25
Author has **7** answers

Step 1

This proportion is equal to 2 fractions, so to check if 2 fractions of a proportion are equal, you must check if they are equal.

$L=\frac{9}{24}$

Lets reduce the fraction to simplest form by calculating HCF of numerator and denominator, which is 3 and then dividing both by 3

$\therefore \frac{9}{24}=\frac{9\xf73}{24\xf73}$

$\therefore \frac{9}{24}=\frac{3}{8}$

$R=\frac{15}{40}$

Lets reduce the fraction to simplest form by calculating HCF of numerator and denominator, which is 5 and then dividing both by 5

$\therefore \frac{15}{40}=\frac{15\xf75}{40\xf75}$

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

Both sides are equal, so the fractions form a proportion.

$\frac{9}{24}=\frac{15}{40}$

This proportion is equal to 2 fractions, so to check if 2 fractions of a proportion are equal, you must check if they are equal.

Lets reduce the fraction to simplest form by calculating HCF of numerator and denominator, which is 3 and then dividing both by 3

Lets reduce the fraction to simplest form by calculating HCF of numerator and denominator, which is 5 and then dividing both by 5

Both sides are equal, so the fractions form a proportion.

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 2020-12-24

Ms. Donahue rents a space in the mall for her store. The mall owner just increased the amount of her rent. As a result, Ms. Donahue decided to raise all the prices in her store by 5%. What is the new price of an item that had an original price of $80?

A. $84

B. $85

C. $120

D. $160

A. $84

B. $85

C. $120

D. $160

asked 2022-02-10

Kelly has 4x as much money as Joey. After Kelly uses some money to buy a racquet, and Joey uses $\mathrm{\$}30}$ to buy shorts, Kelly has twice as much money as Joey. If Joey started with $\mathrm{\$}98}$ , how much money does Kelly have? what does the racquet cost?

asked 2021-08-19

The solution of the given expression.

Given:$5h=33$

Given:

asked 2021-08-18

To find the U.S dollar received against of $350 Canadian dollar.

asked 2021-08-10

To write:

The two other true proportions for$\frac{6}{18}=\frac{1}{3}$ .

The two other true proportions for

asked 2021-03-02

Alex wants to calculate his term mark in mathematics. It is to be based on 6 assignments, all equally weighted. He scored 82%,74%,66%, 83%, and 75% on his first five assignments. What mark will Alex need on his sixth assignments in order to achieve a term mark of 80%?