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.)
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?(Round your answer to the nearest whole number.)
Identify given information: Identify the given information and what we need to find.We have:Number of users who would recommend Dr. Gutierrez: 116Total number of users who reviewed: 119Total number of Dr. Gutierrez's patients: 1,293We need to estimate how many of Dr. Gutierrez's patients would recommend him.
Set up proportion: Set up a proportion to represent the relationship between the number of users who recommend the doctor and the total number of users, and apply this proportion to the total patient count.total usersusers who recommend=total patientspatients who would recommend119116=1,293x
Solve for x: Solve for x, which represents the estimated number of patients who would recommend Dr. Gutierrez.Cross multiply to solve for x.116×1,293=119×x
Perform multiplication: Perform the multiplication on both sides of the equation.116×1,293=150,188119×x=150,188
Divide to solve for x: Divide both sides of the equation by 119 to solve for x.x=119150,188x≈1,262.08
Round the answer: Round the answer to the nearest whole number, as the question asks for an estimate. x≈1,262
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