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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?
(Round your answer to the nearest whole number.)

Google Classroom $\newline$ 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? $\newline$ (Round your answer to the nearest whole number.)

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Make predictions using experimental probability

Full solution

Q. Google Classroom

\newline

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?

\newline

(Round your answer to the nearest whole number.)

Determine Proportion Users Recommend: 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 recommendations = Number of users who recommend / Total number of users reviewed $\newline$ Proportion of recommendations = $\frac{116}{119}$
Calculate Proportion: Calculate the proportion. $\newline$ Now we perform the division to find the proportion. $\newline$ Proportion of recommendations = $\frac{116}{119} \approx 0.9748$
Estimate Number Patients Recommend: Estimate the number of patients who would recommend the doctor. $\newline$ We multiply the proportion of recommendations by the total number of Dr. Gutierrez's patients. $\newline$ Estimated number of recommendations $= \text{Proportion of recommendations} \times \text{Total number of patients}$ $\newline$ Estimated number of recommendations $= 0.9748 \times 1,293$
Perform Multiplication: Perform the multiplication to find the estimated number of patients who would recommend the doctor. $\newline$ Estimated number of recommendations = $0.9748 \times 1,293 \approx 1260.3104$
Round Nearest Whole Number: Round the result to the nearest whole number. $\newline$ Since we need to round to the nearest whole number, we round $1260.3104$ to $1260$ .

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