Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

According to a website where users review their doctors, $116$ out of $119$ users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's $1,293$ patients, about how many patients would recommend Dr. Gutierrez to their friends and family?

View step-by-step help

View step-by-step help

Identify quotients of rational numbers: word problems

Full solution

Q. According to a website where users review their doctors,

116

out of

119

users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's

1,293

patients, about how many patients would recommend Dr. Gutierrez to their friends and family?

Calculate Proportion: Determine the proportion of users who recommend Dr. Gutierrez. $\newline$ To find the proportion, we divide the number of users who recommend the doctor by the total number of users who reviewed. $\newline$ Proportion of recommenders = $\frac{\text{Number of users who recommend}}{\text{Total number of users reviewed}}$ $\newline$ Proportion of recommenders = $\frac{116}{119}$
Find Proportion: Calculate the proportion. $\newline$ Now we perform the division to find the proportion. $\newline$ Proportion of recommenders = $\frac{116}{119} \approx 0.9748$ $\newline$ This means approximately $97.48\%$ of the users would recommend Dr. Gutierrez.
Estimate Recommend: Estimate the number of patients who would recommend Dr. Gutierrez. $\newline$ To estimate this number, we multiply the total number of Dr. Gutierrez's patients by the proportion of recommenders. $\newline$ Estimated number of recommenders $=$ Total number of patients $\times$ Proportion of recommenders $\newline$ Estimated number of recommenders $= 1,293 \times 0.9748$
Perform Multiplication: Perform the multiplication to find the estimated number of patients who would recommend the doctor. $\newline$ Estimated number of recommenders = $1,293 \times 0.9748 \approx 1,260.5$ $\newline$ Since we cannot have a fraction of a person, we round to the nearest whole number. $\newline$ Estimated number of recommenders $\approx 1,261$

More problems from Identify quotients of rational numbers: word problems

Question

\frac{x}{x+3} = \frac{x+2}{x+6.2}

Posted 2 months ago

Question

The least amount of wrapping paper needed to wrap a cube-shaped gift is

150

square inches. How long is one side of the gift?

Posted 2 months ago

Question

Which expression is equivalent to

30.4+(-40.4)

\newline

30.4-40.4

\newline

40.4-30.4

\newline

-40.4+(-30.4)

\newline

-40.4-30.4

Posted 2 months ago

Question

n

and simplify your answer.

\newline

-6=\frac{2}{3} n

\newline

Posted 2 months ago

Question

3+2.5\times 5-4\times 8=

Posted 2 months ago

Question

A local package delivery service wants to improve the efficiency of its deliveries. As a first step, the management team decides to conduct a study to determine the average length of time from the arrival of a package at the company's mail center until its delivery at a home. Which of the following methods is most likely to produce valid results?

\newline

1

\newline

(A) The team selects the

1,000

heaviest packages in a one-week, non-holiday period and records how long it takes for each package to reach its destination.

\newline

(B) The team calls

1,000

residents in their delivery area and asks them whether they have received a package from their service in the past week. They will then record how long it took for those packages to reach their destination.

\newline

(C) The team selects a random sample of

1,000

packages arriving at the center over a one-week, non-holiday period and records how long it takes for each package to reach its destination.

\newline

(D) None of the above

Posted 2 months ago

Question

8+2.7=

Posted 2 months ago

Question

(1.5-2.9 i)+(4.3+1.4 i)

Posted 2 months ago

Question

3

(c)

of flour to bake

2

loaves of bread. If

1

(lb)

of flour is equivalent to

3\frac{1}{3} c ,

how many loaves of bread can the baker make with a

10

lb

- bag of flour?

\newline

(Round the answer to the nearest whole number.)

\newline

\square

Posted 2 months ago

Question

\newline

-0.1 \times \frac{-2}{5}=

Posted 2 months ago