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2 years ago

Which of the following is the best definition for the word "proportion"

Mathematics

1 answer:

lubasha [3.4K]2 years ago

3 0

I am pretty sure that it is the second option :)

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The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

Ratling [72]

Answer:

Step-by-step explanation:

5 2/3

3 0

3 years ago

Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?

NeX [460]

Answer:

The function is $y~=~12 ~-~ 0.5 \cdot x$ .

The slope is $m=-0.5$ .

The y-intercept is $b=12$ .

Step-by-step explanation:

Our aim is to calculate the values m (slope) and b (y-intercept) in the equation of a line :

$y=mx+b$

We have the following data:

$\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}$

To find the line of best fit for the points given, you must:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the table below.

Step 2: Find the sum of every column:

$\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200$

Step 3: Use the following equations to find b and m:

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}$

The graph of the regression line is:

5 0

3 years ago

If KX - 8Y + 4 =0 is parallel to the line who’s equation is 3X -4Y+8 = 0. What is the value of K

Alex_Xolod [135]

So - first you gotta put it in the y = mx + b form.

4Y = 3X +8

=> y = 4/3X + 1/2

A parallel line has the same slope. So if 3X - 4Y + 8=0 has a slope of 4/3 then the value of K must also be 4/3

5 0

3 years ago

What percent's falls between 0.5 and 0.6

Shalnov [3]

5 rational numbers between 0.5 and 0.6 can be any 5 numbers up to any number of decimal places that lies between 0.5 and 0.6. Or, it can also be 0.5124, 0.5676, 0.588, 0.59, 0.5789.S

6 0

2 years ago

What is the value of the expression if m=2 and n-6?

aksik [14]

Answer:

where is the expression

Step-by-step explanation:

（＾_＾）（＾_＾）（＾_＾）

7 0

3 years ago