What happens to the median of the data set
{10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set?
A. The median increases by 2.
B. The median decreases by 1.
C. The median does not change.
D. The median increases by 1.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Median- The average

The average can be found by adding the numbers together and dividing by the amount of numbers, in this case that would be 7. 10+2+8+9+5+2+6=42. 42÷7= 6. So the average before 12 is 6. 42+12 is the total adding that 12 and would equal 54. 54÷8=6.75, averaging out to 7. The average increased by about 1. So, the answer is D.

Answer 2

Answer: D. The median increases by 1.

Step-by-step explanation: This is correct.


Related Questions

There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.

Answers

Answer:

His mother baked 7 more cookies

Choose the best selection for the quadrilateral with vertices at the following points: (-2,0), (0,4), (4,0), (6,4) Hint: Start by graphing the points. Distance Formula: d= (x2 – x1)2 + (y2 – yı)? + B. Parallelogram a. Rectangle D. Trapezoid Rhombus​

Answers

The best selection for the quadrilateral with the given vertices is: parallelogram.

Recall:

Parallel lines are lines do not intersect and they are equal distant apart.

The opposite side of a parallelogram are of equal length.

Thus, the points of the vertices of the quadrilateral has been graphed in the diagram shown below:

Point A (-2,0)

Point B (0,4)

Point C (6,4)

Point D (4,0)

Find the distance between each vertices using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance between Point A (-2,0) and Point B (0,4):

[tex]AB = \sqrt{(0 -(-2))^2 + (4 - 0)^2} \\\\\mathbf{AB = \sqrt{20} }[/tex]

Distance between Point B (0,4) and Point C (6,4):

[tex]BC = \sqrt{(6 - 0)^2 + (4 - 4)^2} \\\\\mathbf{BC = 6 }[/tex]

Using the same distance formula, CD = √20 while AD = 6

This means that the opposite sides of the quadrilateral with the given vertices are equal in length. Parallelogram has two pairs of equal sides.

Therefore, the best selection for the quadrilateral with the given vertices is: parallelogram.

Learn more about Parallelogram on:

https://brainly.com/question/12167853

Number 8 Please!!!!!
Thank You!!!

Answers

Answer:

x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6

Step-by-step explanation:

If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)

Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.

Answers

Step-by-step explanation:

is it like this ? no diagrams ?

Which of the following sets is equal to {1, 2, 3, ...)?
{x| xER, x>1}
{x|xER, x> or equal to 1}
{x|xEN, x> or equal to 1}

Answers

Answer:

[tex]\{x~ | ~x\in \mathbb{N}, x \geq 1\}[/tex]

Step-by-step explanation:

An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&M’s produced at this factory

Answers

Answer:

It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.

Step-by-step explanation:

The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.

So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.

The answer has to be "about 21,900,000."

Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4

Answers

Answer:

y=24

Step-by-step explanation:

PLEASE HELP!!

what is the intermediate step in the form (x+a)^2=b as a result of completeting the square for the following equation?

x^2-34=16x

Answers

Answer:

1: x =(16-√392)/2=8-7√ 2 = -1.899

2: x =(16+√392)/2=8+7√ 2 = 17.899

Step-by-step explanation: I found two solutions it’s either one or two.

I hope this helped :) I tried my best.

Find the area of the shaded region below.

Answers

Answer:

145

Step-by-step explanation:

yeah-ya...... right?

help please its overdue

Answers

Answer:

B) 4cm

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Solve for x. Round to the nearest hundredth. 10^x = 42

Answers

Answer: The answer is 1.62.

Explanation: It is in the image.

what percent of 75cm is 5cm​

Answers

Answer:

6.67%

Step-by-step explanation:

5 / 75 = 0.066667

(0.066667)(100) = 6.67%

I don’t understand this question can you please help me ?.

Answers

Answer:

Girl: YES = 12 ; NO = 38

Boy: YES = 29 ; NO = 21

Total: YES = 41 ; NO = 59

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Girl yes=12;no=38 boy yes=29 no=59 and Yes=41 and no =59

are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?

Answers

Answer:

the first number is 75 and the second number is 100

Evaluate the given expression for x = 4.
x? + 5x - 8

Answers

Answer:

16

Step-by-step explanation:

[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]

What is the next whole number after 267 In base 8

Answers

The next number would be 270₈. The given number has an digit expansion of

267₈ = 2•8² + 6•8¹ + 7•8⁰

If x is the next number, then adding 1 to the both sides gives

x = 2•8² + 6•8¹ + 7•8⁰ + 1

x = 2•8² + 6•8¹ + 7•8⁰ + 1•8⁰

x = 2•8² + 6•8¹ + 8•8⁰

x = 2•8² + 6•8¹ + 1•8¹

x = 2•8² + 7•8¹

x = 2•8² + 7•8¹ + 0•8⁰

and so x = 270₈.

Graph the line with slope -2/3
passing through the point (-4,5).

Answers

Answer:

graph this equation

y = -2/3x 7/3

Step-by-step explanation:

y-5=-2/3(x--4)

y-5 = -2/3x - 8/3

y = -2/3x 7/3

Pls help me I’ll brainlest ASAP

Answers

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Mark each equation with the number that makes it true!

Answers

Answer:

Check step-by-step

Step-by-step explanation:

18 + s = 33 = (15)

27 = 9 • s = (3)

40 - s = 23 = (17)

5 • m = 35 = (7)

18/s = 3 = (6)

m/5 = 10 = (50)

m + 14 = 18 - m= (2)

m + m + 12 = 22 (5)

n + 7 = 18 (11)

n - 9 = 22 (31)

Have A good day! Let me know if this helps!

solve for X:
10( x + 1) = 2 x-7
-1
-3
-17/8
-18/8

Answers

-17/8

Step-by-step explanation:

10( x + 1) = 2 x-7

10x + 10 = 2x - 7

10 + 7 = 2x - 10x

17 = - 8x

x = -17 /8

Answer:

Hiya There....!!!

______________________

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x  =  − 17 /18

Decimal Form:

x  =  − 2.125

Mixed Number Form:

x  =  − 2/ 1 8

_______________________

“To forgive is wisdom, to forget is genius. And easier. Because it's true. It's a new world every heart beat.”

― Joyce Cary, The Horse's Mouth

__________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

51.33333333 just round it plz

Answers

Answer:

51

Step-by-step explanation:

The answer would be 51 because the numbers behind the decimal are below 5

Answer:

51

Step-by-step explanation:

51.33333333 rounds to 51 because 3 is less than 5.

When rounding, always look at the number before the first number in front of the decimal. If it is more than 5, round up. If it is less than, round down.

-3x-8? I would like to know the steps also

Answers

Answer:

24

Step-by-step explanation:

a - and a - make a +

so -3 x -8 becomes positive

so 3 x 8 = 24

can I have some help?

Answers

Answer:

[tex]x = \sqrt{58} [/tex]

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {x}^{2} = {7}^{2} + {3}^{2} [/tex]

[tex] {x}^{2} = 49+ 9[/tex]

[tex] {x}^{2} = 58[/tex]

[tex]x = \sqrt{58} [/tex]

solution to the system
y=-x2-3x+2
y=x+6

Answers

Answer:

[tex]x=-2,y=4[/tex]

Step-by-step explanation:

[tex]y=-x^2-3x+2[/tex]

[tex]y=x+6[/tex]

[tex]x+6=-x^2-3x+2[/tex]

[tex]x^2+x+6=-3x+2[/tex]

[tex]x^2+4x+6=2[/tex]

[tex]x^2+4x+4=0[/tex]

[tex](x+2)(x+2)=0[/tex]

[tex]x=-2[/tex]

[tex]y=(-2)+6=4[/tex]

Given
f(x) = 3x^2+ 2x – 1 and g(x) =4x- 5find (gof)(-2)

Answers

Answer:

27

Step-by-step explanation:

yeah-ya......... right?

Karen has 7/8 cup of ice cream. How many 1/3 cup servings can she make ?

Answers

Answer:

She can make 4 1/3 cups

Step-by-step explanation:

Answer:

2.625 should be your answer

Step-by-step explanation:

hope you have a good day!

What is the answer to this 1/3(n+1)=1/6(3n-5)

Answers

Answer:

n=7

distribute 1/3 by 1/3 and 1 then distribute 1/6 to 3n and 5 combine like terms for both sides simplifying to -n=(-7) divide - by n and -7 getting you n=7.

Is it true that Confidence intervals are always close to their true population values?

Answers

Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?

Answers

Answer:

4 dollars and 80 cents

Step-by-step explanation:

24 times 20 is 480 but its money so u would say $4.80.

If answer is correct you will be marked as brainliest
What is the discriminant of the polynomial below?
4x^2+4x+1

A. 32

B. -12

C. -4

D. 0

Answers

Answer:

Discriminant is [tex] {b}^{2} - 4 \times a \times c [/tex]

[tex]16 - 4 \times 4 \times 1 = 0[/tex]

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