All categories

3 years ago

How can you determine which variable is dependent and which variable is independent

Mathematics

2 answers:

padilas [110]3 years ago

8 0

MrBillDoesMath!

Answer: The dependent variable depends on another variable for its value. For example, if y = 2x, setting x = 1 forces y= 2.; setting x = 10, forces y =20. There are no other possibilities for y once x ids chosen. So y is the dependent variable and x is the independent one. You can pick values for the independent variable (x) but no so for the dependent one.

MrB

kari74 [83]3 years ago

8 0

This is actually quite a deep-going question. To truly determine which variables (in an experiment, or in an observation of nature) depend of other variables is sometime very difficult and laborious. In math this may be easier. See detail below.

In pure mathematics, where variables do not necessarily carry a physical meaning, the determination is a matter of definition. A variable is defined to be dependent on another variable, for instance, y depends on x via the specific function, y = 10x + 10. The key is: this is given. Otherwise (if it were not given), suppose I gave you an equation a+b=10 and not told you which is the dependent and which the independent variable. You could think of each being either: a=10-b and b=10-a. Without this being defined, there is no clear way to determine dependency.

In science, on the other hand, the determination is made based on experimental design and based on certain plausible assumptions about natural dependencies. For example, if you design an experiment to measure some physical quantity, such a height of an individual, you can look at the that as a variable dependent on other variables, such as age, ie., what is the average height of a person given their particular age (say, 0, 1, 2,..., 18 years of age). It would be more of a stretch to measure the age as dependent variable of height.

I hope these thoughts are helpful.

You might be interested in

Please find the perpendicular line slope equation please! Thanks!

lana66690 [7]

We need to convert this equation to slope-intercept form first.

We can do that by solving for y.

x - 5y = 15

Add 5y to both sides.

x = 5y + 15

Subtract 15 from both sides.

x - 15 = 5y

Divide both sides by 5.

y = 1/5x - 3

We now know the slope is 1/5.

The slope of the line perpendicular to the line with a slope of 1/5 is -5.

The slope of a perpendicular line is the negative reciprocal of the original slope.

Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).

The equation of the new line is y = -5x - 6.

5 0

3 years ago

Read 2 more answers

write a conjecture as to the number of sides as compared to the number of triangles formed when drawing diagonals from one verte

zmey [24]

Answer:The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1.

Step-by-step explanation :an opinion or conclusion formed on the basis of incomplete information.

8 0

3 years ago

a class has 60 students.Given that 85% passed a science test. Find the number of students who failed and then convert o %

Vanyuwa [196]

Given:

Total students = 60

Student passed = 85%

To find:

The number of students who failed and then convert it in %.

Solution:

We have,

Number of passed student = 85% of Total students

= $\dfrac{85}{100}\times 60$

= $51$

So, number of passes students is 51.

Number of students who failed = Total students - Passes students

= $60-51$

= $9$

So, number of students who failed is 9.

$\text{Fail}\%=\dfrac{\text{Failed students}}{\text{Total students}}\times 100$

$\text{Fail}\%=\dfrac{9}{60}\times 100$

$\text{Fail}\%=15$

Therefore, 15% students fail in the test.

7 0

3 years ago

What is the linear function equation represented by the graph?

victus00 [196]

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

Further explanation:

The formula for slope of line can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Explanation:

The line intersect $\text{y}$ -axis at $\left( {0,- 4} \right).$

Therefore, the $\text{y}$ -intercept is -4.

The line passes through the points $\left( {0,- 4} \right)$ and $\left( {3,- 3} \right)$ .

The slope can be obtained as follows,

$\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}$

The slope of the line is $\dfrac{1}{3}.$

The slope intercept form of the linear equation is given as follows.

$\boxed{y = mx + k}$

Substitute $\dfrac{1}{3}$ for m and -4 for k in equation $y = mx + k.$

$y = \dfrac{1}{3}x - 4$

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

3 0

3 years ago

Read 2 more answers

The height of a cylinder is twice the radius of its base.

Tpy6a [65]

Answer:

= 2 pi x^3

Step-by-step explanation:

radius = x

h = 2x

The volume of a cylinder is

V = pi r^2 h

= pi ( x) ^2 ( 2x)

= 2 pi x^3

6 0

3 years ago