The linear model for the data is expressed as: R = 20p - 160.
<h3>How to Write a Linear Model?</h3>
Using two pairs of values from the table values, say, (32, 480) and (33, 500), find the unit rate (m).
Unit rate (m) = (500 - 480)/(33 - 32) = 20/1
Unit rate (m) = 20.
Substitute (p, R) = (32, 480) and m = 20 into R = mp + b to find b
480 = 20(32) + b
480 = 640 + b
480 - 640 = b
b = -160
To write the linear model, substitute m = 20 and b = -160 into R = mp + b:
R = 20p - 160
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Answer:
Option D is correct
Step-by-step explanation:
The options for the question is
a)cluster sample
b)convenience sample
c)simple random sample
d)stratified random sample
e)systematic random sample
Solution
The sampling here comprises of students from all the major of college. Here the major can be considered as "strata" of the educational institute. Out of these, strata or majors five students are selected on random basis.
This is a form of stratified random sample
Hence, option D is correct
The set of all output values for a function is called the range.
Log_3(x(x + 24) = 4
log_3(x^2 + 24x) = 4
3^4 = (x^2 + 24x)
81 = x^2 + 24x
x^2 + 24x - 81 = 0
Continue from here.
Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
![F = 10[v(21) - v(16)]](https://tex.z-dn.net/?f=F%20%3D%2010%5Bv%2821%29%20-%20v%2816%29%5D)
Newton's Second Law states that Force, in Newtons, is <u>mass times acceleration</u>, that is:
In this problem, mass of 50 kg, thus 
Acceleration is <u>change in velocity divided by change in time</u>, that is:
In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:
Thus, the force is given by:
![F = 50\frac{[v(21) - v(16)]}{5}](https://tex.z-dn.net/?f=F%20%3D%2050%5Cfrac%7B%5Bv%2821%29%20-%20v%2816%29%5D%7D%7B5%7D)
A similar problem is given at brainly.com/question/18801986
