Adrian creates some paintings every month. The numbers below show how many paintings Adrian has completed each month for the last year. What is the median of the set of data? 4, 5, 2, 1, 0, 3, 2, 4, 3, 2, 7, 5 *

Answers

Answer 1

Given :

Number of paintings Adrian created each month for the last year are :

4, 5, 2, 1, 0, 3, 2, 4, 3, 2, 7, 5 .

To Find :

The median of the set of data .

Solution :

To find the median we should arrange the numbers in ascending order .

So , 0, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 7 .

Now , median for odd is the middle term but for even numbers it is the average of middle two terms .

So ,

[tex]Median =\dfrac{3+3}{2}\\\\Median =3[/tex]

Therefore , the median of the set of data is 3 .

Hence , this is the required solution .


Related Questions

Translate each algebraic expression or equation into a verbal phrase: X - 8 = 14

Answers

Answer:

x subtracted by negative 8 is equal to 14.

Step-by-step explanation:

Answer:

A number minus eight is equal to fourteen

or

Eight less than a number is equal to fourteen

both should be correct

find the distance between each pair and points (-4,6) (3,-7)

Answers

Answer:

[tex]d =\sqrt{218}[/tex]

Step-by-step explanation:

[tex]d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = \sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\d = \sqrt{(3+4)^2+(-7-6)^2} \\\\d = \sqrt{(7)^2 +(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218} \\\\Decimal = 14.7648\\=14.8[/tex]

Solve the equation: 6n+5<11

Answers

Steps to solve:

6n + 5 < 11

~Subtract 5 to both sides

6n < 6

~Divide 6 to both sides

n < 1

Best of Luck!

Answer:

n > -1

Step-by-step explanation:

1.1     Pull out like factors :

  -6n - 6  =   -6 • (n + 1)

2.1    Divide both sides by  -6  

Remember to flip the inequality sign:

2.2      Subtract  1  from both sides

           n > -1

2.3      Inequality plot for

        -6.000 X  - 6.000  >  0

Paula used these steps to solve an equation: Step 1: Step 2: Step 3: Step 4: Step 5: Between which two steps did Paula use the division property of equality?

Answers

Answer:

Step 4

Step-by-step explanation:

Paula used these steps to solve an equation:

Step 1: -4(7 + 8) - 21 = 25

Step 2: -4r – 32 - 2x = 25

Step 3: -61 – 32 = 25

Step 4: -6x = 57

Step 5: x = -9.5

Between which two steps did Paula use the division property of equality?

Step 1: -4(x + 8) - 2x = 25

Opening the parenthesis

Step 2: -4x – 32 - 2x = 25

Combining x-terms

Step 3: -6x – 32 = 25

Adding 32 to both sides

Step 4: -6x = 57

Dividing both sides by -6

Step 5: x = -9.5

The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.

The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5

This means from the equation, x is equal to -9.5 and -9.5 is equal to x

The correct answer is step 4

Answer:it is step 4 and 5 hope this helps

Step-by-step explanation:

Is 65 + -58 positive or negative?

Answers

The answer is a positive because it’s like 65-58 and that will give us 7

PLZ HURRY 80 points
Find the total amount in the compound interest account.
​$3000 is compounded quarterly at a rate of 9​% for 6 years.

​$ | ? | ​(Round to the nearest​ cent.)

Answers

Answer:

10,300

Step-by-step explanation:

(n^(4))/(n^(4)) what does that equal?

Answers

Answer:

the answer would be 1 happy to help ya :)

Step-by-step explanation:

Dave has $15 to spend on an $8 book and two birthday cards(c) for his friends. how much can he spend on each card if he buys the same card for each friend?

Please do not use the equal sign, we're using the greater than >, or less than sign< !​

Answers

Answer:

each card cost = $3.5

Step-by-step explanation:

to spent $15 = $8 + 2cards

$15 = $8 + 2C

$15 - $8 = 2C

$7 = 2C

C = $7 / 2

C = $3.5

therefore each card cost = $3.5

Answer:

$3.50 per card

Step-by-step explanation:

15 = 8 + 2x

x = 7 / 2

x = 3.50

Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x). (1 point

Answers

Step-by-step explanation:

f o g(x)

= f(x - 4)

= (x - 4) + 7

= x + 3.

the answer is x+3 for this

PLEASE HELP ME!!

Simba loans $2,000 to his buddy Timon to teach hula lessons.
Timon is having trouble balancing his books and winds up losing $500 a month
after starting up his business. Pumba is helping Timon calculate how much debt
he will be in after one year if he doesn't make any changes. What should he use
for the y-intercept? What should he use for the rate of change?

Answers

Answer:

y-intercept: 2000rate of change: 500

Step-by-step explanation:

When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.

Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.

After m months, Timon's debt d will be ...

  d = 500m + 2000

What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3?

Answers

Answer:

15

Step-by-step explanation:

5a - 10b = 45

5a - (10×3) = 45

5a - 30 = 45

5a = 45 + 30

5a = 75

a = 15

algebraic expression for 5 minus the product of y and 3

Answers

Answer:

5 - 3y

Step-by-step explanation:

Step 1: Convert product of y and 3 into numbers

Product = multiply

y = y

3 = 3

3y

Step 2: Convert 5 minus into numbers

minus = subtract

5 - 3y

Answer:

5-3y

Step-by-step explanation:

30 pts and will mark brainiest.
please explain.​

Answers

Answer:B

Step-by-step explanation:

X+2 divide 3x^4-x+2=

3x^3-6x^2+12x-25=

52=

52/x+2

the answer is d. its simple,the reason of that is because you would set up the synthetic division using the coefficients of the numerator and the root of the denominator. divide using the rules for synthetic division.

3x 4 cubed- 6x3 cubed +12x 2 cubed-24x-z+48+  2(z-47)  over x+2

Evaluate \dfrac{e}{4}+2f-3 4 e ​ +2f−3start fraction, e, divided by, 4, end fraction, plus, 2, f, minus, 3 when e=12e=12e, equals, 12 and f=\dfrac12f= 2 1 ​

Answers

I have same question and I need help

Nate runs 8 miles each week. Write an expression for the number of miles he runs in n weeks. Find the number of miles Nate runs in 5 weeks.

Answers

Total miles = number of miles per week x number of weeks:

Total = 8n

For 5 weeks, replace n with 5:

Total = 8(5) = 8 x 5 = 40 miles

Answer:

8x, 40 miles

Step-by-step explanation:

He runs 8 miles each week.

8 miles x week

8 x week

To replace week, use a variable, commonly x.

8x

For 5 weeks, plug in the numbers.

x = 5

8 x 5 = 40

40 miles

Hope this helped, please mark Brainliest for everyone to see! :)

Solve for M:

–7(3 – 4m) = 8m + 19

Answers

-21 + 28m = 8m + 19

20m = 40

m = 2

Point O is on line segment NP Given OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3 determine the numerical length of OP .

Answers

Answer: 11 units.

Step-by-step explanation:

Given: Point O is on line segment NP.

i.e. NP is the combination of NO and OP.

i.e. NP = NO+OP                    (1)

Since , OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3

Substitute these values in (1), we get

[tex]3x + 4 = 2x - 3 + 4x - 5[/tex]

[tex]\Rightarrow\ 3x+4=2x+4x-3-5\\\\\Rightarrow\ 3x+4=6x-8\\\\\Rightarrow\ 6x-3x=8+4\\\\\Rightarrow\ 3x=12\\\\\Rightarrow\ x=\dfrac{3}{12}=4[/tex]

i.e. x= 4

Now, OP = 4(4)-5= 16-5= 11 units

Hence, the numerical length of OP is 11 units.

Tentukan nilai x yang memenuhi ketidaksamaan. |3x + 12| < 2 |x - 6|

Answers

Answer:

          x∈(-24, 0)     -24 < x < 0

Step-by-step explanation:

|3x + 12| < 2 |x - 6|

|3(x + 4)| < 2 |x - 6|        ⇒  -4 and 6 are "zeros"

1°.  x∈(-∞, -4> ⇒ |3x + 12| = - (3x + 12)  and  2|x - 6| = -2(x-6)

-(3x + 12) < -2(x - 6)

-3x - 12 < -2x + 12

  -x < 24

x > -24  ∧ x∈(-∞-4> ⇒ x∈(-18, -4>

2°.  x∈(-4, 6)  ⇒ |3x + 12| = 3x+12  and  2|x - 6| = -2(x-6)

3x + 12 < -2(x - 6)

3x + 12 < -2x + 12

  5x < 0

x < 0  ∧ x∈(-4, 6)  ⇒ x∈(-4, 0)

3°.  x∈(6, ∞)  ⇒ |3x + 12| = 3x+12  and  2|x - 6| = 2(x-6)

3x + 12 < 2(x - 6)

3x + 12 < 2x - 12

  x < -24

x < -24  ∧  x∈(6, ∞)  ⇒ x∈∅

x∈1°∪2°∪3°

x∈(-24, -4>∪(-4, 0)∪∅

x∈(-24, 0)     -24 < x < 0

Subtract (3 + 2i) from (–9 – 8i).

–17 – 5i

–6 – 6i

–12 – 10i

12 + 10

Answers

Answer:

-12 - 10i

Step-by-step explanation:

We are subtracting 3 + 2i from -9 - 8i.  Rewrite the left side as -3 - 2i and then ADD this result to -9 - 8i:

-9 - 8i

-3 -2i

-----------

-12 - 10i

Answer:

-9-8i)-(3+2i)

= -9-8i-3-2i

Separate i and the numbers

= (-9-3)+(-8i-2i)

= -12-10i

Step-by-step explanation:

How can I solve this quadratic equation by factoring?

Answers

First set the equation equal to 0 by subtracting n from both sides.

That leaves us with 8n² - 11n = 0.

Since the GCF on the left is n, we can

factor it out to get n(8n - 11) = 0.

So either n = 0 or 8n - 11 = 0.

Solving for n in the second equation, we get n = 11/8.

So our solution is {0, 11/8}.

hector worked monday, tuesday and thursday from 9:00 am to 4:30 pm with a half hour lunch each day. How many total hours did he work?

Answers

9:00-4:30 is 7 1/2 hours but he took a 30 minute lunch break so each day he worked 7 hours. He worked 3 days so 7x3 is 21. Hector worked 21 total hours.
hector worked for about 21 hours

David bought two video games and a DVD. One video game cost $32.50 and the other video game cost $45.35. David spent a total of $115.65. How much did the DVD cost?

Answers

Answer:

$37.80

Step-by-step explanation:

Add the cost of the 2 video games together to get 77.85

Subtract 77.85 from the total, $115.65

$37.80

Hope this helps :-)

Is this sum rational or irrational? Explain.

1.12 + 18/7 (1 point)

The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.

The sum is irrational because 1.12 is irrational, and the sum of a rational number and an irrational number is irrational..

The sum is rational because both 1.12 and 18 are positive, and the sum of positive numbers is rational.

The sum is irrational because 18 is irrational, and the sum of a rational number and an irrational number is irrational.​

Answers

Answer: The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational

Step-by-step explanation:

Given the two numbers :

1.12 and 18/7

1.12 is a rational number as it is a not a non-terminating decimal and can accurately be expressed in the form a/b, where a and b are integers, thus 1.12 is equivalent to 112 / 100

18/7 on the other hand is an irrational number as it is a non-terminating decimal.

Hence, takingbthe sum of both numbers (rational and irrational) results in an irrational output.

18 / 7 = 2.57142857....

Taking the sum of both,

1.12 + 2.57142857... = 3.69142857... ; which is irrational

Answer:

The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational.

Step-by-step explanation:

e^x - e^-x/2
Evaluate the equation above for x = 1.5

a. 2.35
b. 2.13
c. 4.37

Answers

Answer: 2.13

Step-by-step explanation:

Plug x (1.5) into the equation.

e^(1.5) - e^(-1.5)

Then, divide by 2.

Your answer will be 2.129 and then round to 2.13.

Answer:

2.13

Step-by-step explanation:

What is the value of x in the equation below? One-third (12 x minus 24) = 16 2 6 8 10

Answers

Answer:

The correct answer is b. 6

Answer:

6

Step-by-step explanation:

^_^   yep

Find the value of X round to the nearest tenth. I need help.

Answers

Answer:

x ≈ 22.1°

Step-by-step explanation:

Using the law of cosines, then

cosC = [tex]\frac{a^2+b^2-c^2}{2bc}[/tex]

with a = 19, b = 14, c = 8 and C = x, thus

cos x = [tex]\frac{19^2+14^2-8^2}{2(19)(14)}[/tex]

         = [tex]\frac{361+196-64}{532}[/tex]

         = [tex]\frac{493}{532}[/tex], thus

x = [tex]cos^{-1}[/tex] ([tex]\frac{493}{532}[/tex] ) ≈ 22.1° ( to the nearest tenth )

A company rents out 19 food booths and 30 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $50 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

2500 + 215d

Step-by-step explanation:

What number is 7 units to the left of -1?


Answers

Answer:

-8 I think on a graph right

Answer:

-8

Step-by-step explanation:

on a number line -1 is one unit away add we just add 7 units. To get -8!

What is the area or rectangle xbcy

Answers

2x=mc swakxmwnaixjeka

7 kilogramos cuanto miligramos son

Answers

Answer - 700000 milligrams

Answer:

7e+6

Step-by-step explanation:

7e+6 miligramos

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