A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example. All students at the university
The proportion of the 300 surveyed students who are in-state students
The list of the 300 answers to the survey question
The answer in-state out-of-state or foreign
The 300 students who were surveyed
The proportion of all students from this university who are in-state students
population
Statistic
Data
Variable
Sample
Parameter

The vocabulary word when correctly matched to the corresponding example would give:

Population

Parameters

Data

Variable

Sample

Statistic

Read more about statistics here:

link

The correct matches are;

All students at the university → Population

The proportion of the 300 surveyed students who are in-state students → Statistic

The list of the 300 answers to the survey question → Data

The answer in-state out-of-state or foreign → Parameters

The 300 students who were surveyed → Sample

The proportion of all students from this university who are in-state → Variable

Step-by-step explanation:

1) The population is the set that contains total number of possible observation in the question, the population is all the students of the university

2) A statistic is a calculated quantity derived from a sample's data value that can be used in estimating a parameter of the population or outlining a sample characteristic

The proportion of the in-state student in the sample is found by taking the ratio of the number of in-state student in the sample to the total number of student in the sample

3) Data are collected information which may be qualitative or quantitative variables

The answers collected in the survey are the data of the 300 surveyed student

4) A parameter is the value that is used as the means of measuring or classifying an item or system

5) A sample is a part or portion of a population, that serves as representative of the population

6) A variable is a quantity that can vary or cannot be said to be constant.

The number proportion of all students from the university who are in-state students can change due to change in the proportion during graduation and admission.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

find the vertical and horizontal asymptotes of the function f x = 5 x − 1 . to find the vertical asymptote, equate the denominator to zero and solve for . since the degree of the polynomial in the numerator is less than that of the denominator, the horizontal asymptote is .

step-by-step explanation: