5 numbers have a mean of 4, a range of 6, mode of 2 and a median of 3. What could the numbers be? Is this the only answer?

Answers

Answer 1

Step-by-step explanation:

x1, x2, x3, x4, x5

(x1 + x2 + x3 + x4 + x5)/5 = 4

x5 - x1 = 6

x3 = 3

2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.

x1 + x2 + x3 + x4 + x5 = 4×5 = 20

x3 = 3

x1 + x2 + 3 + x4 + x5 = 20

x1 + x2 + x4 + x5 = 17

x5 = x1 + 6

x1 + x2 + x4 + x1 + 6 = 17

2×x1 + x2 + x4 = 11

since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.

so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.

we have therefore 2 different solutions, as either

x1 and x2, or x2 and x4 can be 2.

x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).

solution 1 (x1 and x2 are 2) :

2×2 + 2 + x4 = 11

4 + 2 + x4 = 11

6 + x4 = 11

x4 = 5

so,

x1 = 2,

x2 = 2,

x3 = 3

x4 = 5

x5 = x1 + 6 = 2 + 6 = 8

solution 2 (x2 and x4 are 2) :

2×x1 + 2 + 2 = 11

2×x1 + 4 = 11

2×x1 = 7

x1 = 7/2

so,

x1 = 7/2

x2 = 2

x3 = 3

x4 = 2

x5 = x1 + 6 = 7/2 + 12/2 = 19/2


Related Questions

A country in South America exported 62% of the 315,000 bags of coffee beans they produced in a given year. How many bags did they export? Can someone please help me without a link to go to.​

Answers

Answer:

195,300

Step-by-step explanation:

62 percent *315000 =

(62:100)*315000 =

(62*315000):100 =

19530000:100 = 195300

Now we have: 62 percent of 315000 = 195300

Question: What is 62 percent of 315000?

Percentage solution with steps:

Step 1: Our output value is 315000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,315000=100%.

Step 4: Similarly, x=62%.

Step 5: This results in a pair of simple equations:

315000=100%(1).

x=62%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

315000/x = 100/62%

Step 7: Again, the reciprocal of both sides gives

x/315000 = 62/100

x=195300

Therefore, 62% of 315000 is 195300

Help help help help help help help help

Answers

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you

Susie has read 52 pages of an 80- page book. What is the percentage of the pages that susie has not read?

Answers

Answer:

35%

Step-by-step explanation:

52/80=0.65

0.65x100=65

65% is the percent that she has read.

100%-65%= 35%

She has not read 35% of the pages.

Answer:

She hasn't read 35% of the book

Step-by-step explanation:

1st way: Since 80 pages represent 100%

52 pages represent 100 * 52 / 80 = 65% pages read

100 - 65 = 35 pages page not read.

2nd way: 80 - 52 = 28 pages not read

28 pages represent 100 * 28 / 80 = 35% pages not read

The largest frog in the world is the goliath, It can grow to be 12 inches long. The smallest frog in the world is about 2.5% as log as the goliath. About how long is the smallest frog in the world

Answers

Answer:

0.3 inches

Step-by-step explanation:

2.5% = 0.025

The smallest frog is 12 * 0.025 inches, which is 0.3 inches.

If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. 20 points and WILL GIVE BRAINLIEST!

Answers

It will take 3.3 years to accumulate $28,500  on this account

According to the compound amount formula expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the principal = $25,000

A is the amount = $28,500

r is the rate in decimal = 4% = 0.04

n = 2 (semi annualy)

Substitute the given parameters into the formula as shown:

[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]

Hence it will take 3.3 years to accumulate $28,500  on this account

learn more on compound interest here: https://brainly.com/question/18456266

Multiply.

(−3 6/7)⋅(−3 1/3)

What is the product?

Enter your answer as a simplified mixed number in the box.

Answers

9514 1404 393

Answer:

  12 6/7

Step-by-step explanation:

The product of two negative numbers is positive, so we can ignore the signs.

  (3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)

  = 9 + 1 + 18/7 + 2/7

  = 10 + 2 4/7 + 2/7

  = 12 6/7

what is the greatest common factor of
8x - 12

Answers

Answer:

4

Step-by-step explanation:

8x - 12

4(2x - 3)


How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?

A. 2 x (7.5 + 15)

B. 3 x (5 + 10)

C. 5 x (3 + 6)

D. 15 x (1 + 2)

Answers

Answer:

13 24 56 23 56 78 166 Yan Lang po thank

199 hares of two different colors, gray or white, gathered on a meadow. Every hare found the ratio of the number of hares of the other color to the number of hares of its color (including itself). What is the greatest value for the sum of all of these ratios?

Answers

Answer:

grey

Step-by-step explanation:

the greatest sum is 25

Solve 3h+g=5h-hg for h

Answers

Answer: [tex]h=\frac{-g}{g-2}[/tex]

Step-by-step explanation:

Let's solve for h.

[tex]3h+g=5h-hg[/tex]

Step 1: Add [tex]gh[/tex] to both sides.

[tex]g+3h+gh=-gh+5h+gh[/tex]

[tex]gh+g+3h=5h[/tex]

Step 2: Add [tex]-5h[/tex] to both sides.

[tex]gh+g+3h+-5h=5h+-5h[/tex]

[tex]gh+g-2h=0[/tex]

Step 3: Add [tex]-g[/tex] to both sides.

[tex]gh+g-2h+-g=0+-g[/tex]

[tex]gh-2h=-g[/tex]

Step 4: Factor out the variable [tex]h[/tex].

[tex]h(g-2)=-g[/tex]

Step 5: Divide both sides by [tex]g-2[/tex].

[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]

[tex]h=\frac{-g}{g-2}[/tex]

Answer:

[tex]h=\frac{-g}{g-2}[/tex]

4 and 3x - 2 are both---------------- of 12x-8?


Thank you

Answers

The answer is: Factors.

Help help help help help help help help help

Answers

Answer:

A'(-2,3) B'(-1,1) C'(-4,0)

Step-by-step explanation:

Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.

For each value of v, determine whether it is a solution to 59 = 3 - 7v.​

Answers

Answer:

[tex]59=3-7v[/tex]

Subtract 3 from both sides:

[tex]59-3=3-7v-3[/tex]

[tex]56=-7v[/tex]

[tex]-7v=56[/tex]

[tex]v=-8[/tex]

-8 is the only solution.

Answer:

well I think it's -6

Step-by-step explanation:

7×-6=-42+3=39

WHAT DOES EXPONENT C MEAN LETS SAY A NUMBER IS IN PARANTHESIS AND WITHIN THAT PARENTHESIS THERES A C AS AN EXPONENT WHAT DOES THAT MEAN

Answers

Answer:

It means that the number is raised to the power of c. For example, if it is (2^3), the answer would be 8.

Step-by-step explanation:

A washer and dryer cost 809. The washer is 59 dollars more than the dryer how much does the dryer cost

Answers

Answer:

The dryer cost $350.

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

809 - 59 = 750

750 / 2 = 375

If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
3
y

4
x
)

Answers

The answer is 14 that should work

Give the two missing numbers in the following sequences.8,9,11,14,?,23,?​

Answers

Answer:

18 and 29

Step-by-step explanation:

8+0=8

8+1=9

9+2=11

11+3=14

14+4=18

18+5=23

23+6=29

As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)

Last year 85 students in 7th grade This school year only 68 What is the percent decrease?

Answers

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

Answer:

1 million

Step-by-step explanation:

1 +1 +2 with 36 video game

36(2)=82

100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:

A)

(1, 1)

B)

(–1, 1) and (1, 1)

C)

(–1, 1) and (0, 2)

D)

(–1, 1)

Answers

Answer:

  D)  (–1, 1)

Step-by-step explanation:

The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.

  y = y

  -x² +2 = x² +4x +4

  2x² +4x +2 = 0 . . . . . . . . . add x² -2

  2(x +1)² = 0 . . . . . . . . . factor

  x = -1 . . . . . . . . . . one solution that makes the factors zero

  y = -x² +2 = -(-1)² +2 = -1 +2 = 1

The only solution is (x, y) = (-1, 1).

Need help with geometry problem

Answers

Answer:

y = [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

x^2 + z^2 = 29^2

x^2 = y^2 + 9^2

y^2 + 20^2 = z^2

29^2 - z^2 = y^2 + 81 (equating for x^2 from eqn 1 and 2)

substitute 3rd eqn in 4th

29^2 - (y^2 + 20^2) = y^2 + 81

841 - y^2 - 400 = y^2 + 81

441 = 2y^2 + 81

360 = 2y^2  

y^2 = 180

y = [tex]\sqrt{180}[/tex]

= [tex]\sqrt{36*5} \\[/tex]

y = [tex]6\sqrt{5}[/tex]

What equation represents this sentence? 5 less than a number is 12. n−5=12 5=12−n 5=n−12 5−n=12

Answers

Answer:

n-5=12

This is the answer

The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

What is Algebra?

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

The given statement is "5 less than a number is 12"

According to the given question, translate the phrase into an algebraic form :

⇒ n - 5 = 12

Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"

Now the above equation solves for variable n,

⇒ n - 5 = 12

Add 5 to both sides of the above equation,

⇒ n = 12 + 5

⇒ n = 17

Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Solve the equation for the indicated variable.

8x + y =5, for x

X= [?]

(Simplify your answer.Use integers or fractions for any numbers in the expression.)

Answers

The answer is -1/8y+5/8

Answer:

x = −1/8y + 5/8

Step-by-step explanation:

Step 1: Add -y to both sides.

8x = −y + 5

Step 2: Divide both sides by 8.

8x/8 = −y+5/8

x= −1/8y + 5/8

Convert 244 16 to decimal:

Answers

Answer:

15.25 is your answer

Step-by-step explanation:

Answer:

I know it’s already been answered but I got 15.25

Step-by-step explanation:

SIMPLIFIED POLYNOMIALS. Combine all the similar terms of each polynomial
1. 4x + 2x - 3x
2. 10xy + 4y - 8xy + 9y
3. 6x2 + y - 8x2 + 2 + 3y
4. 14a3 - a2 + 3a2 - 16a3 + a2
5. -5pq2 + 3pq2 - p2q + pq2 - 7p2q

Answers

Answer:

1. 3x

2. 2xy+13y

3. -2x^2+4y+2

4. -2a^3+3a^2

5. -2pq^2-7p^2q

How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other. ​

Answers

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

Solve the system, or show that it has no solution.
10x + 4y = 14
15x + 6y = 21

Answers

Answer:

Step-by-step explanation:

(6)10x + 4y = 14(6)

4(15x + 6y) = 21(4)

60x + 24y = 84

60x + 24y = 84

It has infinite, as if this were to be graphed the lines would overlap.

B. DIRECTION: Read and analyze each problem. Give the best answer you can give in order to solve the problem



1. what is asked in the problem?____________________


2. What operation are you going to use to slove the problem?________


3. Show your solution___________________​

Answers

Answer:

1: How much longer did he run than walk.

2: Subtraction

3: 1/8 hour

Step-by-step explanation:

1: The last sentence says what is being asked.

2: We want to see how much longer something is so it is subtraction.

3: 3/4 = 6/8    7/8 - 6/8 = 1/8

I need help with this problem! please hurry have 3 more after so let me know if you want to do them to and ill give 200 points.

Answers

15 is the answer to the question

5. The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero.

procedure gcd(a, b)

if a b then gcd(a, b) := = gcd (b, a)

else if a = 0 then gcd (a, b) = b

else if a = 1 then gcd (a, b) :

:=1

else if a and b are even then gcd(a, b) 2gcd(a/2, b/2) := else if a is odd and b is even then gcd(a, b) := gcd(a, b/2)

else gcd(a, b) := gcd(a, b - a)

Use this algorithm to compute

(a) gcd(124, 244)

(b) gcd (4424, 2111).u

Answers

Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation is given below and the output of the sample run is attached.

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

Learn more :https://brainly.com/question/25506437

Other Questions
NEED ANSWER ASAP!Write an equation, in the form y = mx + b, that shows the linear relationship between the x and y values in the table.Table: Below Sheila is practicing her informal talk and wants feedback from you. Younotice that she's using flat intonation. What is the best advice to give Sheilaabout using this type of intonation? what is the molecular formula of linoleic acid? help Based on the information from the passage, the reader can best conclude that the narrator willA start thinking hes a dog.B get out of the scan room.C have his brain replaced by a mouse brain.D visit Donald in the hospital. I'm not good at this HELPPPP ME PLS W MY SCIENCE AND 15 POINTS AS USUAL Okay, here's your idiom. Now find the answer that's an example of that idiom.Enter your search term"shooting the breeze"A hanging out with friends talking about TVBfinishing a quiz just before the class is overC going hunting on a windy day Write two examples of reading materials that can be used for each reading style scanning, skimming, speed reading, and intensive reading.. nirvanas album ________ launched the alternative rock boom in the 1990s. What was the significance of the ragtag force of local militia including free people of color and Baratarian pirates? What is the name of the process you use to rewrite a quadratic function from standard form into vertex form?Graphing the transformationCompleting the squareCreating vertex formTransforming the parent function. i need help agian, but wait i have to read which best describes the us when herbert hoover took office? HELP ME PLEASEEE, the questions are about freak the mighty chapter 10-17 SOMEONE PLEASE HELP ME IM GOING INSANE 4 Select the correct answer. A satellite completes one revolution of a planet in almost exactly one hour. At the end of one hour, the satellite has traveled 2.0 x 107 meters and is only 10 meters away from its starting point. What is the numerical value of the satellite's average velocity after that one hour? O A. -3.77 x 10-2 meters/second OB. -2.77 x 10-3 meters/second OC. -2.62 x 10-2 meters/second D. -5.55 x 103 meters/second Which state is the comma in the right place one May 14, 1999 to May 14, 1999 May 14, 1999 for May 14, 1999 . In my house, the table is ___________ the sofa and the TVA. betweenB. inC. next toD. under Do you think the younger scientist had enough evidence for his prediction? Describe how the digestive tracts of zebra and lions will differ based on their different diets.(10 points pls help!!) A deal is a deal, so here is a good one, let's see who gets it right. I had $10. 0. My mom gives me $30. 00, my dad gave me $30. 0. My aunt and uncle give $100. 0. I had another $10. 0. How much money did i have? the right answer will be deleted & you will be asked to repost the question on your page. Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.