The mean of 6 numbers is 3 the median is 6. List the numbers

Answers

Answer 1

Answer:

Step-by-step explanation:

We have 6 numbers, the mean is the average of all 6, so adding all 6 numbers together and dividing by 6 will give you 3. Because of this we know the 6 numbers will have to add up to 18.

The median is the middle number, but we have an even number so the median is found by adding the 2 middle numbers and dividing by 2.

Because the mean is low, we can guess the first 2 numbers will be small, so let's try 1.  

1 + 1 + _ + _ + _ + _

The remaining 4 numbers will have to add up to 16, and the next 2 numbers need to add up to 12. There would not be any possible combination where this would work. Now we know our first 2 numbers are too big.

Now we try 0.

0 + 0 + _ + _ + _ + _

Now our remaining 4 numbers neet to be 18, but the middle 2 need to add to 12 (so when we divide by 2 we get 6) so 0 is still too big!

-2 + -2 + _ + _ + _ + _  

If we try -2 now the next 4 numbers need to add to 22, but that's still not going to work because 22-12 = 10 and the last 2 numbers have to be the same, or larger than the middle 2.

-3 + -3 + _ + _ + _ + _  

With -3 then our total of the remaining 4 numbers needs to be 24 and 24-12 = 12 so this could be an option!

Our numbers could be:

-3, -3, 6, 6, 6, 6

Let's check:

-3 + -3 + 6 + 6 + 6 + 6 = 18   18/6 = 3    and our middle 2 numbers are 6 so our median would be 6.

If the numbers all have to be different we can come up with a different solution by making our first 2 numbers smaller.

-9, -5, 5, 7, 9, 11  

Let's check

-9 + -5 + 5 + 7 + 9 + 11

-14 + 32 = 18  mean  18/6 = 3      median 5+7 = 12 and 12/2 = 6

So that could also work! There are actually many options that would be correct!

Answer 2

One of the set of numbers whose mean is 3 and median is 6 is 0, 1, 5, 7, 2 and 3.

What is Mean?

Mean of a set of numbers is the average value of the numbers. Mean is calculated by taking the sum of the given numbers divided by the total number of numbers.

Let x₁, x₂, x₃, x₄, x₅ and x₆ be the six numbers.

We have mean = 3

⇒ (x₁ + x₂ + x₃ + x₄ + x₅ + x₆) / 6 = 3

⇒ x₁ + x₂ + x₃ + x₄ + x₅ + x₆ = 18

Median is the midpoint of the set of numbers arranged in ascending or descending orders.

If the number of set of numbers are odd, then median is the midpoint of the set and if the number of the set is even, then median is the average of the middle two elements.

Median = 6

Since there are 6 numbers here median = (x₃ + x₄) / 2

(x₃ + x₄) / 2 = 6

(x₃ + x₄) = 12

So x₁ + x₂ + x₅ + x₆ = 18 - 12 = 6

Lets just say x₁ = 0, x₂ = 1, x₅ = 2 and x₆ = 3, the sum of which equals 6.

Now, let x₃ = 5 and x₄ = 7, such that x₃ + x₄ = 12

So one of the set which satisfies the given conditions is x₁, x₂, x₃, x₄, x₅ and x₆ = 0, 1, 5, 7, 2 and 3 respectively.

Hence, one of the list of 6 numbers whose mean equals 3 and median equals 6 is 0, 1, 5, 7, 2 and 3.

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Related Questions

Find the two square roots of 9/4?

Answers

Answer: 0.75

Step-by-step explanation:

The two square roots of 9/4 is  [tex]3/2[/tex].

It is required to find the two square roots of 9/4.

What is square root?

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Solution:

Using the principal square root:

[tex]\sqrt{9/4} \\\\=3/2[/tex]  and [tex]3/2[/tex].

Hence, the two square roots of 9/4 is  [tex]3/2[/tex].

Learn more about square roots here:

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A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen. One of the salesmen say if the bonus is shared equally between all 10 people I will get 25 percent more money. Is the salesmen correct? you must show your answer.

Help me on this question and please show your working out and explain thank you

Answers

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

Therefore, salesman is not correct

True or false please help ASAP

Answers

Answer:

true :)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.

Answers

Answer:

the perimeter is 50 inches squared

Step-by-step explanation:

if the length is 4 times that means the sides are 20 and 5

I really need help . 12 points ​

Answers

Answer:

it the 2nd or last one but i think its the 2nd one

Answer:

it is last no. cause no negative or decimal are counted as order pair

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Determine the 18th term of the sequence 3,9,27,...

Answers

Answer:

[tex]x_{18}=387420489[/tex]

Step-by-step explanation:

So we have the sequence:

3, 9, 27...

First, note that this is a geometric sequence because each subsequent term not increasing linearly.

To find the 18th term, we can write an explicit formula.

The standard explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:

[tex]x_n=3(3)^{n-1}[/tex]

To find the 18th term, substitute 18 for n. So:

[tex]x_{18}=3(3)^{18-1}[/tex]

Subtract:

[tex]x_{18}=3(3)^{17}[/tex]

Evaluate:

[tex]x_{18}=3(129140163)[/tex]

Multiply:

[tex]x_{18}=387420489[/tex]

And we're done!

regi received a 3.5 raise which raised his yearly income by $910. what is his new income?

Answers

Answer:

His new income is $26,910.

Step-by-step explanation:

As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:

910 / 3.5 = 1% salary

260 = 1% salary

260 x 100 = previous salary

26,000 = previous salary

26,000 + 910 = current salary

26,910 = current salary

Therefore, his new income is $26,910.

The decimal .28654 rounded to the nearest thousandth is ____.

Answers

Answer:

8000,I think this is right answer

Answer:

.287

Step-by-step explanation:

5 rounds up which makes the 6 a 7.

Simplify (4.5)(5)(−2).

45
4.5
−4.5
−45

Answers

Answer:

-45

Step-by-step explanation:

(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Answer:-45

Step-by-step explanation:(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Pls help I don't understand :( Will give Brainliest

Answers

Answer:

a. [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

The formula for rate of change is:

[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex]   =  [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Your points are (1000, 310) and (3500, 460)

So

[tex]x_{1}[/tex] = 1000

[tex]y_{1}[/tex] = 310

[tex]x_{2}[/tex] = 3500

[tex]y_{2}[/tex] = 460

Plug into the formula

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

[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50

150/50 = 3     2500/50 = 50

so:

[tex]\frac{3}{50}[/tex]

I am not 1000% sure but I think this is the answer. It’s A(3/50)because you just need to find the slope by using the slope formula. Hope this helped and I was right

Find the measurement

Answers

RS+ST=RTRS=RT-STRS=4.0-1.6RS=2.4

Answer:

RS = 2.4 cm

Step-by-step explanation:

RS + ST = RT

RS + 1.6 = 4

Subtract 1.6 from both sides.

RS = 4 - 1.6

RS = 2.4 cm

what is the value of x?
30
45
55
60​

Answers

Answer:

[tex]\boxed {\tt B. \ x=45}[/tex]

Step-by-step explanation:

x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.

Add x and 3x, and set that equal to 180.

[tex]x+3x=180[/tex]

Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.

[tex](x+3x)=180[/tex]

[tex]4x=180[/tex]

Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{4x}{4} =\frac{180}{4}[/tex]

[tex]x=\frac{180}{4}[/tex]

[tex]x=45[/tex]

x is equal to 45, so the correct answer is B. 45

In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).

Supplementary angles add upto 180°.

Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.

Then,

[tex] \angle TRS + \angle TRV = 180 \degree[/tex]

In the question, given angle TRS = x and angle TRV = 3x

[tex]x + 3x = 180 \degree[/tex]

[tex]4x = 180 \degree[/tex]

Now, divide 4 from both sides because we need to find x.

[tex]x = \frac{180 \degree}{4} [/tex]

[tex]x = 45 \degree[/tex]

It was given that Angle TRS is x

So, Angle TRS = 45°

Option B

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

pls help me pls pls ​

Answers

x= -4

mark this as brainliest!!!

follow me!

Step-by-step explanation:

solution,or, 5x-3(x-2)=3x-2(x-1)   or,5x-3x+6 =3x-2x+2  or,2x+6=x+2 or, 2x-x=6+2 ( therefore, x=-4)

what is square root of 64?

Answers

Answer:

8

Step-by-step explanation:

8*8=64

Please help me out on this

Answers

Answer


2^3/7

Step-by-step

What is the place value of 3 in 9. 365?​

Answers

Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

place value 3 is Hundred
(9*1000)+ (3*100)+(6*10)+5

10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of

3:5. How much does Monika get?

(a) £120

(b) £200

(c) £60

(d) £90

Answers

Answer:

(d) £90

Step-by-step explanation:

Total raffle prize = £240

Ratio of sharing

Monika : Robert

3 : 5

The amount Monika get is calculated as

3/(3 + 5) × £240

= 3/8 × £240

= 3 × 30

= £90

Therefore, the amount Monika gets is £90

A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight

Answers

Answer:

y=1.5x+9

Step-by-step explanation:

We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.

The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.

[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]

Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.

PLEASE HELPP!! Round each mixed number to the nearest whole number. Then, estimate the sum.
14 11/12 + 3 1/6

Answers

Answer:

Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18

*
(1 Punto)
(7.006 x 1041) x (5.09 x 1022)
OA 3.566 x 1041
OB 3.566 x 1062
ОС
3.566 x 1063
D
3.566 x 1064​

Answers

This question was not written properly

Complete Question

(7.006 x 10⁴¹) x (5.09 x 10²²)

OA) 3.566 x 10⁴¹

OB) 3.566 x 10⁶²

ОС) 3.566 x 10⁶³

OD)3.566 x 10⁶⁴

Answer:

D. 3.566 × 10⁶⁴

Step-by-step explanation:

We are asked to solve:

(7.006 x 10⁴¹) x (5.09 x 10²²)

When we multiply this together

= (7.006 × 5.09 ) × 10(⁴¹+²²)

= (7.006 × 5.09 ) × 10⁶³

= 35.66054 × 10⁶³

= 3.566054 ×10⁶⁴

Approximately = 3.566 × 10⁶⁴

Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.

Answers

Answer:

30°

Step-by-step explanation:

Let the length of shorter side of rectangle be x units.

Therefore, length of diagonal = 2x

In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.

Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].

[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]


Which expression can be used to solve
3/5•|• 7/10

Answers

Answer: D

Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d

Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D​

Answers

Answer:

See answer below.

All you have to do is input the equation into the square root formula.

Step-by-step explanation:

Answer:

x =

2 , 8

Step-by-step explanation:

(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25

          = x² - 10x + 25

x² - 10x + 25 = 9

x² - 10x + 25 - 9 = 0

x² - 10x + 16 = 0

x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)

x = {10±√(100-64)} / 2

x = {10±√36} / 2

x = {10±6} / 2

x₁ = {10-6} / 2 = 4/2 = 2

x₂ = {10+6} / 2 = 16/2 = 8

Check:

x₁

(2-5)² = 9

-3² = 9

x₂

(8-5)² = 9

3² = 9

WILL MARK BRAINLY IF CORRECT; 100 POINTS I ALREADY FIGURE OUT LETTER A & B. I JUST NEED TO FIGURE OUT LETTER C.

Carrie Overwood works fluctuating work schedules. Besides her fixed salary of $1,044 per week, her employment agreement provides for overtime pay at an extra half-rate for hours worked over 40. This week she worked 48 hours. Compute the following amounts. Round all divisions to two decimal places and use the rounded amounts in subsequent computations. Round your final answers to the nearest cent.

a. The overtime earnings $ 87.04

b. The total earnings $ 1,131.04

c. If this was a BELO plan with a pay rate of $23.45 per hour and a maximum of 48 hours, how much would Overwood be paid for 42 hours? $

Answers

Answer:

$1008.35

Step-by-step explanation:

938$+  70.35$ from overtime.

Answer:

1008.35

Step-by-step explanation:

I believe that's the answer

Please answer ASAP
what is 7.28 times 6 than that answer + 41.25 = ?

Answers

Answer: 84.93

Step-by-step explanation:

when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93

Answer:

84.93

Step-by-step explanation:

7.28 x 6 +41.25

Do 7.28 x 6

43.68+41.25

Then add together

84.93

Ar the two triangles below similar? A. Yes, because the corresponding sides are proportional B. No, because the corresponding sides are not proportional. C. Yes, because thre are two pairs of congruent corresponding angles. D. No, because there are not two pairs of congruent corresponding agles. PLEASE HELP ME !!!!!!!!

Answers

Answer:

No, because there are not two pairs of congruent corresponding agles

(5.1 x 103) • (3.2 x 103)

Answers

Answer:

11480.22

Step-by-step explanation:

5.1x3.2 + 5.1x103 + 103x3.2 + 103x103

16.32 + 525.3 + 329.6 + 10609

11480.22

find the value of x​
WILL MARK AS BRAINLIEST!

Answers

Answer:

37

Step-by-step explanation:

180-(81+62)=37

Answer:

x = 37°

Step-by-step explanation:

The sum of all internal angles in a triangle will always equal 180.

Thus, we know that 81 + 62 + x must equal 180.

81 + 62 + x = 180

143 + x = 180

Subtract 143 from both sides:

x = 180 - 143

x = 37

Answer: x = 37°

Joe has saved $50. He wants to
buy 3 graphic novels that cost $13 each.
Can Joe afford the graphic novels?

Answers

Answer:

Yes, Joe can afford the graphic novels.

Explanation:

Joe has $50Each graphic novel costs $13Joe wants 3 graphic novels

[ Multiply ]

13 · 3 = 39

Joe will be spending at total of $39 if he buys 3 graphic novels. He will have a total of $11 left over. Joe can afford the graphic novels.

A carpenter makes wooden chairs.

He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.

Answers

Answer:

Is there supposed to be a graph somewhere?

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