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

Consider the circle centered at the origin and passing through the point (0, 2).

(a) Give the equation of the circle.

(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)​

Answers

Answer:

x^2+y^2=4, yes, no, yes, no

Step-by-step explanation:

a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.

b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.

([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.

(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.

pythagorean theorem to find the length of the hypotenuse in the triangle 16 30

Answers

Answer:

the answer is 34.

Step-by-step explanation:

Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)

Answers

the slope is 6/-5

subtracting the y values gives you -2-(-8)=6

subtracting the x values gives you -1-4= -5

Given:-

Two points (4,-8) and (-1,-2) .

To find :-

The slope of the line through these points .

Solution :-

As we know that the slope is ,

[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]

Substitute the values ,

[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)

[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1

[tex]\longrightarrow[/tex] Slope = 6/5

Hence the slope of the line is 6/5 .

Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.

Answers

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

$5.15 per 5-pound bag

Answers

Answer: 1 pound = 1.03

Step-by-step explanation:

not sure what you wanted from this but here are possible answer

Hey there!

When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.

$5.15/5 lb

= 5.15 ÷ 5 lb

= 5.15 ÷ 5 lb

= $1.03

Therefore, your answer SHOULD be: $1.03

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?

Answers

Answer:

29.4

Step-by-step explanation:

Show work on the graph pls help I’ll brainlest ASAP

Answers

Answer:

Slope (known as m) = -3/2; Y-int (known as b) = 3

Step-by-step explanation:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]

m = [tex]\frac{-3}{2}[/tex]

b = [tex]3[/tex]

Write the equation for the function graphed below

Answers

Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

what is the equation of the line that has a slope of three and goes through the point (-3,-5)?
A. y= 3x+4
B. y= 3x-14
C. y= 3x-4
D. y= 3x+12​

Answers

Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3(x-(-3))

y+5=3(x+3)

y=3x+9-5

y=3x+4


How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?

Answers

Answer:

14 Pounds

Step-by-step explanation:

35 / 12 = 2.9167

being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.

6 wholes and 1/3 converted into decimal?

Answers

Answer:

6 is a whole number.

[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

192
64
48

Answers

the answer is 64 multiplication can be done with calculator or normal

Which is NOT true?
16 + 3 = 11 + 8
16 = 16
16 - 4 = 7 + 6
16 = 19 - 3

Answers

Answer:

16 - 4 = 7 + 6

Step-by-step explanation:

16 - 4 = 12

7 + 6 = 13

What is the image of (−4,−7) after a reflection over the x-axis?

Answers

Answer:

go left for times and go down 7 .

Step-by-step explanation:

Answer:

(-4,7)

Step-by-step explanation:

I hope this helps :)

1/2x-3 + 5x/2x+6 = 2, Solve for x​

Answers

Answer:

1/2x-3 + 5x/2x+6 = 2

1/2x-3 + 5/2+6 = 2

1/2x-3 + 2.5+6 = 2

1/2x + 5.5 = 2

1/2x = 2-5.5

1/2x = 3.5

1 = -3.5 × 2x

1 = -7x

x = -1/7

hope it helps :)

Estimate 47 divided by 1/2

Answers

Answer : 94

Step by Step :

47/0.5=94

Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?​

Answers

Answer:

7 yellow cars

Step-by-step explanation:

Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.

The amount of money, y, pizzeria J makes by
selling x pizzas can be modeled by the equation
y = 14x. The relationship of the amount of money
pizzeria W makes is shown in the following graph.
Which pizzeria makes more money per pizza?

Answers

Answer:

Pizzeria J

Step-by-step explanation:

Pizzeria J makes

y = 14x

Let x = 1, for 1 pizza. Then,

y = 14 × 1

y = 14

At pizzeria J, 1 pizza costs $14.

In the equation y = 14x, the slope, 14, is the cost per pizza.

Now we find the slope of the graph for pizzeria W.

The x-axis is the number of pizzas.

For x = 1, y = 11.

The slope is 11, so the price per pizza is $11.

Answer: Pizzeria J

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

pls help!ill give brainlest to the smartest!

Answers

This should help you

CAN SOMEONE ANSWER THIS!!!!!!!!

Answers

Answer:

Step-by-step explanation:

2 now help me :(

the base and height of a triangle are in the ratio 4:5 . if the area is 640 sq.cm find the the base and height

Answers

The base is 32cm and height is 40m

Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?

Answers

Answer:

1.25 miles or 5/4

Step-by-step explanation:

Take the two distances and add them together and simplify.

Answer: 1 & 1/4 mile

Explanation:

1/2 = 2/4

She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.

The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,

5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4

Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.

Answers

Answer:

Step-by-step explanation:

So the final answer is $2274.

Pencils can be purchased in packages of 12 or 25. If Karl purchased 8 packages to get 135 pencils, how many packages of 12 did he buy?

Answers

Answer: 60

Step-by-step explanation:

list all of the multiples and choose the least common number

10:   10  20  30  40  50  60  70  80  90  100

12:   12  24  36  48  60  72  84  96

find a number that shares all the prime factors of the two numbers

prime factors of 10: 2, 5

prime factors or 12: 2, 2, 3

LCM = 60

Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−2x3. If there is more than one x-intercept, separate them with commas.

Answers

Answer:

Step-by-step explanation:

Your equation makes no sense.

I will ASSUME you mean

y = -x² - 2x + 3

which can be factored

y = (x + 3)(-x + 1)

x intercepts occur when y = 0

0 = (x + 3)(-x + 1)

which means either

x + 3 = 0

x = -3

or

-x + 1 = 0

x = 1

x intercepts are (-3, 0) and (1, 0)

The vertex will occur halfway between these point

x = (-3 + 1) / 2 = -1

so vertex = y = -(-1)² - 2(-1) + 3 = 4

(-1, 4)

[tex]Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } [/tex]
..............................​

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.

What is the square root of -2x^2

Answers

Answer:

-2x

Step-by-step explanation:

the answer for the question is -2x

Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.

Answers

Answer:

4.59318

Step-by-step explanation:

I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.

Find the area of the circle whose diameter is 68 cm​

Answers

Answer:

1156πcm²

Step-by-step explanation:

Diameter = 68cm

Therefore radius = 68 ÷ 2 = 34cm

Area of a circle = πr²

= π × 34cm × 34cm

= π × 1156cm

= 1156πcm²

NOTE: In case you're given the value of pi, substitute it into the formula to get your answer

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