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valkas [14]
3 years ago
5

The capacity of a container is 1478 milliliters. convert this to liters

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

The answer would be 1.478 Liters

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If the r-value, or correlation coefficient, of a data set is 0.841, what is the
xenn [34]

Answer: 0.707

Step-by-step explanation:

6 0
3 years ago
Why is a regression line referred to as the line of best fit?
aalyn [17]
<h2>Answer with explanation:</h2>

When there is a linear relationship is observed between the variables, we use  linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the  regression line referred to as the line of best fit.

4 0
3 years ago
A temperature of –25°c is equivalent to:<br> a. 248 k.<br> b. 25 k.<br> c. –25 k.<br> d. 298 k.
SpyIntel [72]

The temperature T in Kelvin (K) is equal to the temperature T in degrees Celsius (°C) plus 273.15:

T(K) = T(°C) + 273.15;

So, T(K) = -25 + 273.15;

T(K) = 248.15;

The correct answer is a.

7 0
3 years ago
(Geometry course question) Explain why it is not possible to construct an equilateral triangle that has
Nutka1998 [239]

Answer:

  √3 is irrational

Step-by-step explanation:

The location of the third point of a triangle can be found using a rotation matrix to transform the coordinates of the given points.

<h3 /><h3>Location of point C</h3>

With reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC <em>never passes through a point with integer coordinates</em>. (Any point with integer coordinates would be on a line with rational slope.)

<h3>Equilateral triangle</h3>

The line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.

The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...

  \left[\begin{array}{cc}\cos(60^\circ)&\sin(60^\circ)\\-\sin(60^\circ)&\cos(60^\circ)\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}x'\\y'\end{array}\right]

Cos(60°) is rational, but sin(60°) is not. For any non-zero rational values of x and y, the sum ...

  cos(60°)·x + sin(60°)·y

will be irrational.

As in the attached diagram, if one of the coordinates of the rotated point (B) is zero, then one of the coordinates of its image (C) will be rational. The other image point coordinate cannot be rational.

6 0
2 years ago
Mark was thinking of a number. Mark doubles it, then adds 11 to get an answer of 52.6. What was the original number?
Artemon [7]

Answer:

20.8

Step-by-step explanation:

The first step you need to do is to subtract 11:

52.6 - 11 = 41.6

The second step is to divide it by 2:

41.6 / 2 = 20.8

Mark was thinking of 20.8

5 0
2 years ago
Read 2 more answers
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