What is the shape of the distribution shown below? ​

Answer/Step-by-sep explanation:

To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:

1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.

2. If both lines have the same slope value, m, then both lines are parallel.

3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.

4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.

1. y = 3x - 7 and y = 3x + 1.

Both have the same slope value of 3. Therefore, they are parallel.

2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜

3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]

The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.

Therefore, they are perdendicular.

4. 2x + 7y = 28 and 7x - 2y = 4.

Rewrite both equations in the slope-intercept form, y = mx + b.

2x + 7y = 28

7y = -2x + 28

y = -2x/7 + 28/7

y = -²/7 + 4

And

7x - 2y = 4

-2y = -7x + 4

y = -7x/-2 + 4/-2

y = ⁷/2x - 2

The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.

Therefore, they are perdendicular.

5.⬜ y = -5x + 1 and x - 5y = 30.

Rewrite the second line equation in the slope-intercept form.

x - 5y = 30

-5y = -x + 30

y = -2x/-5 + 30/-5

y = ⅖x - 6

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜

6.⬜ 3x + 2y = 8 and 2x + 3y = -12.

Rewrite both line equations in the slope-intercept form.

3x + 2y = 8

2y = -3x + 8

y = -3x/2 + 8/2

y = -³/2x + 4

And

2x + 3y = -12

3y = -2x -12

y = -2x/3 - 12/3

y = -⅔x - 4

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜

7. y = -4x - 1 and 8x + 2y = 14.

Rewrite the equation of the second line in the slope-intercept form.

8x + 2y = 14

2y = -8x + 14

y = -8x/2 + 14/2

y = -4x + 7

Both have the same slope value of -4. Therefore, they are parallel.

8.⬜ x + y = 7 and x - y = 9.

Rewrite the equation of both lines in the slope-intercept form.

x + y = 7

y = -x + 7

And

x - y = 9

-y = -x + 9

y = -x/-1 + 9/-1

y = x - 9

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜

9. y = ⅓x + 9 And x - 3y = 3

Rewrite the equation of the second line.

x - 3y = 3

-3y = -x + 3

y = -x/-3 + 3/-3

y = ⅓x - 1

Both have the same slope value of ⅓. Therefore, they are parallel.

10.⬜ 4x + 9y = 18 and y = 4x + 9

Rewrite the equation of the first line.

4x + 9y = 18

9y = -4x + 18

y = -4x/9 + 18/9

y = -⁴/9x + 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜

11.⬜ 5x - 10y = 20 and y = -2x + 6

Rewrite the equation of the first line.

5x - 10y = 20

-10y = -5x + 20

y = -5x/-10 + 20/-10

y = ²/5x - 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜

12. -9x + 12y = 24 and y = ¾x - 5

Rewrite the equation of the first line.

-9x + 12y = 24

12y = 9x + 24

y = 9x/12 + 24/12

y = ¾x + 2

Both have the same slope value of ¾. Therefore, they are parallel.

Answer:

the amount of each deposit is $45,555

Step-by-step explanation:

The computation of the each deposit is shown below:

Given that

Future value be $20,000

Time period = 15 × 2 = 30

And, the rate = 5% ÷ 2 = 2.5%

Now the formula is as follows

= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1

= ($20,000 × 2.5) ÷ (1 + 0.025)^30 - 1

= $50,000 ÷ 1.0975675791

= $45,555

Hence, the amount of each deposit is $45,555

Answer:

i think it is 5x-6=65

Step-by-step explanation:

Answer:

Y=114 X=54

Step-by-step explanation:

Y and 114 are the same and the Top line is 180 degrees because it is straight so you can add 114 + 12= 126 which leaves 54 for X

Answer:

Number of different selection = 50C6

Number of different selection = 50 x 49 x 48 x 47 x 46 x 45

Number of different selection = 15 890 700

Step-by-step explanation:

The number of the different ways of selections are possible will be 28,989,675.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55).

The order in which the selections are made does not matter.

Then the number of the different ways of selections are possible will be

⇒ ⁵⁵C₆

⇒ (55!) / [(55 - 6!) × 6!]

⇒ (55 × 54 × 53 × 52 × 51 × 50 × 49!) / [49! × 6 × 5 × 4 × 3 × 2 × 1]

⇒ 11 × 3 × 53 × 13 × 51 × 25

⇒ 28,989,675

Thus, the number of the different ways of selections are possible will be 28,989,675.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Answer:

11:30

learn how to count you bozo

Answer:

11

Step-by-step explanation:

7 1/3 ÷ 2/3 = 11

(please give brainliest)

Answer: 1/11

Explanation:

KCF

(keep, change, flip)

Answer:

78

Step-by-step explanation:

do 9 x 8= 72

then 72 + 6= 78

Answer:

Im not 100% sure but i believe its M6?

Step-by-step explanation:

Answer:

maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation:

Answer:

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Answer: y= -5/3 x -1

Step-by-step explanation:

Answer:

It's the second option {0°, 180°}

Explanation:

Given a trigonometric equation in degrees where tan(x − 180°) − sin(x − 180°) = 0 .

Since this is multiple choice, you can use the process of elimination to get rid of the incorrect answers.

You can think of sin as the y or vertical component of a rotation, cos as the x or horizontal component of a rotation, and tangent as we know to be sin/cos. Remember, this rotation is oriented in the counterclockwise direction so it is going leftward starting at (1,0). We also know that 360° is a full rotation so the rotation rule for each interval of 90 degrees counter clockwise is 0° or 360° (x,y) → 90° (-y,x) → 180° (-x,-y) → 270° (y,-x).

So if sin(90°) is 1, cos must be 0 as (1,0) → (0,1) , which means tan is N/A (undefined) since 1/0 = N/A. And undefined + 1 ≠ 0 so anything with 90° is incorrect. That leaves us with the second option {0°, 180°} because it is the only one that excludes 90°.

The answer is B. {0°, 180°}

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Dillon and 4 friends went for dinner ;

They all had the same meal except Dillion who did not order the $5 dessert

Total bill paid = $45

Amount paid by each person :

Let amount paid by each friend = x

Amount paid by dillion = x - 5

4x + x - 5 = 45

5x - 5 = 45

5x = 45 + 5

5x = 50

x = 10

Amount paid by each of the 4 friends = $10

Amoubt paid by Dillion = $10 - $5 = $5

Answer:

can u make a new one because i have a to download the pdf and go back and fourth

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Click on the PDF file link - your browser will automatically launch the Adobe Acrobat reader.

Click the download icon - usually located in the top left or right corner of the screen dependent on which version you have installed.

Answer:

y=(1/2)x-2

Step-by-step explanation:

Remember y=mx+b equation.

If is perpendicular to y=-2x+1 that has the slope -2, then the slope is negative reciprocal so is 1/2

Use the (x-x1)m= (y-y1) equation and the given point (2, -1),

so (x-2)1/2=(y+1); x-2=2y+2; 2y=x-2-2; 2y=x-4; y=(1/2)x-2

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set.

Answer:

A. y-intercept

B. Both

C. x-intercept

D.Neither

E. x-intercept.

Step-by-step explanation:

A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin  (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.

Answer:

D) X=-6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: You must switch the direction of the sign

Step-by-step explanation: When multiplying or dividing by a negative number, the signs reverse.

Answer:

K is equal to 4

Step-by-step explanation:

. hope it helped

Answer:

it should be (1,0) (1,0) but make sure cuz im learning this right now and im not the best at it, heres my notes if u want them

Step-by-step explanation:

lol this took me forever to upload my notes

Answer:

6 over  9

Step-by-step explanation:

y2-y1 over x2-x1