Jillian had 2/ 9 m of a cloth. She used 1 /9 m of it for sewing a blanket. How much of the cloth does she have remaining?

Describe at least two similarities between constructing a perpendicular line through a point on a line and constructing a perpen

Vitek1552 [10]

The similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line include:

Both methods involve making a 90-degree angle between two lines.
The methods determine a point equidistant from two equidistant points on the line.

<h3>What are perpendicular lines?</h3>

Perpendicular lines are defined as two lines that meet or intersect each other at right angles.

In this case, both methods involve making a 90-degree angle between two lines and the methods determine a point equidistant from two equidistant points on the line.

Learn more about perpendicular lines on:

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3 0

1 year ago

A piece rate worker is paid _____.

Alchen [17]

Answer:

The answer is on the quantity they produce per hour.

Step-by-step explanation:

If they produce more, they will be paid more, based on the rate per finished item

5 0

1 year ago

Read 2 more answers

What is the volume of a cylinder with a base radius of 2 and height <br> 6

Alik [6]

Answer:

your answer is 75.4

4 0

2 years ago

Ve the equation. 3c + 1 = c +1

yKpoI14uk [10]

Subtract C in both sides:
2c + 1 = 1

Subtract 1 on both sides
2c = 0

The solution is:
x = 0

Hope this helped

4 0

2 years ago

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (

Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

$\bar X = 41.538$

$s = 5.317$

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

$\bar X = 43.615$

$s= 5.583$

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

$\bar X= 3.462$

$s = 0.443$

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

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

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

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

$\bar X = 41.538$

$s = 5.317$

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

$\bar X = 43.615$

$s= 5.583$

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

$\bar X= 3.462$

$s = 0.443$

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0

3 years ago