In a school with 2,000 students, a random sample of 120 students were asked which fruit is their favorite. their responses are shown in the table below.

survey responses-

banana: 23
apple: 18
orange: 34
peach: 27
pear: 18

using proportional reasoning, about how many students out of the 2,000 would you expect to select an orange as their favorite fruit?
a. about 34 students
b. about 58 students
c. about 283 students
d. about 567 students

 567 students.

Step-by-step explanation:

Here, According to the given information,

The ratio of students who like orange and total number of student participate in the survey =

Let x students out of 2,000 students like orange.

Thus, In this case, the ratio of students who like orange and total number of student participate in the survey =

By the proportional reasoning,

Both ratio must be equal.

That is,    

⇒

⇒

⇒

Thus, out of 2000 students about 567 students select an orange as their favorite fruit.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: