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3 years ago

The point (2, -3) lies in quadrant

Mathematics

1 answer:

timurjin [86]3 years ago

3 0

Answer:

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

Step-by-step explanation:

Quadrant :

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.

Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.

Numbering is done in Anticlockwise

Quadrant I - x-coordinate is Positive , y-coordinate is Positive.

Quadrant II - x-coordinate is Negative , y-coordinate is Positive.

Quadrant III - x-coordinate is Negative , y-coordinate is Negative.

Quadrant IV - x-coordinate is Positive , y-coordinate is Negative.

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

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If 5x:(x-2) = 11:3 , find the value of x ?

Masteriza [31]

Answer:

x = -11/2

Step-by-step explanation:

The ratios need to stay the same

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3 years ago

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A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

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b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

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3 years ago

What is the distance, in units, between the points <img src="https://tex.z-dn.net/?f=%282%2C%20-6%29" id="TexFormula1" title="(2

Anna71 [15]

Answer: $3\sqrt{13}$

Step-by-step explanation:

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}$

$=3\sqrt{13}$

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3 years ago