What sequence of 5 numbers have a mode of 7, mean of 9 and a median of 8?

Answers

Answer 1

There are 4 possible answers and they are:

{7, 7, 8, 8, 15}{7, 7, 8, 9, 14}{7, 7, 8, 10, 13}{7, 7, 8, 11, 12}

This is assuming only integers are allowed.

====================================================

Explanation:

The sequence starts off as {A,B,C,D,E}

The median is 8, which is the direct center (slot C).

So we can update the sequence to {A,B,8,D,E}

The mode is 7. The mode is the value that shows up the most frequent compared to the other values. This tells us that the mode must show up at least two times. In this case, it must show up exactly twice because of the A,B values which are smaller than the median 8 in slot C.

So we know that A = 7 and B = 7.

The sequence updates to {7,7,8,D,E} where D and E are not 7.

If either D and/or E were 7, then the list would be {7,7,7,8,x} or {7,7,7,7,8}; however, this would lead to the median not being 8. So this line of reasoning allows us to rule out neither D nor E being 7.

-----------------------

Let's add up those five values, and divide by n = 5, to compute the mean

mean = (A+B+C+D+E)/5

mean = (7+7+8+D+E)/5

mean = (22+D+E)/5

Set this equal to the given mean of 9 and isolate the D+E expression

(22+D+E)/5 = 9

22+D+E = 5*9

22+D+E = 45

D+E = 45-22

D+E = 23

Whatever D and E are, they add to 23.

Assuming D and E are integers, there are a few ways to have D+E result in 23. The further restriction is that neither D nor E can be smaller than 8. Refer to the last section.

Here are all of the integer solutions to D+E = 23 where D and E are 8 or larger.

D = 8 and E = 15D = 9 and E = 14D = 10 and E = 13D = 11 and E = 12D = 12 and E = 11D = 13 and E = 10D = 14 and E = 9D = 15 and E = 8

There are 8 items in that list above. We can rule out the bottom half of that list because it repeats the top half (just in reverse order). Also, note how E is smaller than D in those items. We'll assume that D < E.

So we can shorten that list to

D = 8 and E = 15D = 9 and E = 14D = 10 and E = 13D = 11 and E = 12

This leads to the four possible answers of:

{7, 7, 8, 8, 15}{7, 7, 8, 9, 14}{7, 7, 8, 10, 13}{7, 7, 8, 11, 12}

This is assuming that only integers are allowed. If non-whole values are considered, then we'd have infinitely many possible answers. This is because there are infinitely many solutions to D+E = 23 where D and E aren't restricted to the integer values only.


Related Questions

if the moon rotated 4 times how much days would it take

Answers

Answer:

118.12

Step-by-step explanation:

Answer:

Around 116 days.

Step-by-step explanation:

1 moon rotation is a month, which is around 29 days so 4x29=116.

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Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]by \: pytogorus \: law \\ \\ {8}^{2} = {x}^{2} + { (4\sqrt{3} })^{2} \\ {x}^{2} = {64 - 48} \\ x = \sqrt{16} \\ x = 4[/tex]

Order from least to greatest!

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Please I need help! Its for a test grade!

Answers

I will answer you in 2 hour

Answer:

-1.3, -2/3, -10/3,-  %48, 0.5

Step-by-step explanation:

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Answers

Your answer What is the value of x, you didn't specify

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.

a verbal statement that represents the expression h ÷ 8.

Answers

A verbal statement could be: The quotient of h and eight

Sorry people, I am late 2 minutes. FREE POOINT TIME! CLICK ANSWER FAST TO GET 50 FREE POOINTS! CHANCE OF GETTING BRAINLIEST AND EXTRA 25 POOINTS!

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Answer:

To divide mixed fractions, you could first convert each to an improper fraction. Then, switch to a multiplication problem by multiply by the reciprocal of the divisor. Simplify and convert your answer back to a mixed fraction to get your answer!

Answer:

Hi

Step-by-step explanation:

Please pick me

Select ALL ratios equivalent to 9:12.

A:1:4
B12:16
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Answers

Answer:

B. 12:16

Step-by-step explanation:

Have a nice day/night :)

Please mark me brainliest

A dealership is selling three cars.
Car A costs 20% more than car B.
Car A costs 4% less than car C.
The cost of car A is £13,608
a) Work out the cost of car B.
b) Work out the cost of car C.

Answers

Car B = £16,329.6
Car C = £13,063.68

The cost of car B will be £11,340 and the cost of car C will be £14,175.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

A dealership is selling three cars.

Car A costs 20% more than car B.

Car A costs 4% less than car C.

The cost of car A is £13,608.

The cost of car B will be

⇒ £13,608 / (1 + 0.20)

⇒ £13,608 / 1.20

⇒ £11,340

The cost of car C will be

⇒ £13,608 / (1 - 0.04)

⇒ £13,608 / 0.96

⇒ £14,175

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for a english term paper , gerry spent 7/9 hours researching ,and 2/3 on searchingbon the internet. how many more hours did she spend in the library than internet??​

Answers

9514 1404 393

Answer:

  1/9 hours

Step-by-step explanation:

The difference between the times is ...

  7/9 -2/3 = 7/9 -6/9 = 1/9 . . . . hours

Gerry spent 1/9 more hours researching than searching.

Answer:

1/9 hours.

Step-by-step explanation:

7/9 - 2/3

The LCM of 3 and 9 is so this becomes:

7/9 - (2*3)/(3*3)

= 7/9 - 6/9

= 1/9.

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Answers

Answer:

x=12

Step-by-step explanation:

4x-10=3x+2

Subtract 3x on both sides:

x-10=2

Add 10 on both sides:

x=12

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Find the slope of the line shown below.​

Answers

The slope is -3/2.. hopefully that helps
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Find the value of x (need help)

Answers

Answer:

x=16

Step-by-step explanation:

angle LMN+ angle LNM+ angle MLN=180^

angle LMN+60^ +60^ =180^

angle LMN=60^

overline LN sin( angle LMN) = overline LM sin( angle LMM)

16/(sin(60 degrees)) = x/(sin(60 degrees))

x = 16

12). In 1991, there were an estimated 235 fish in a lake. In 1996, there were 134
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Answers

Answer:bless you

Step-by-step explanation:






how do I do this properly

























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Answers

Answer:

the slope is -1.55

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Ben went bowling with his friends. The bowling alley charges $22 for an hour of group bowling plus a fee to rent each pair of shoes. Ben's group bowled for one hour, rented 5 pairs of shoes, and paid a total of $37. What is the fee to rent each pair of shoes

Answers

Answer:

$3

Step-by-step explanation:

Bowling alley:

$22/ 1 hour group bowling + a fee to rent each pair of shoes

Ben bowling group:

$22 (for 1  hour)  +  5 pairs of shoes rented =  $37

What is the fee to rent each pair of shoes?

5 pairs of shoes rented =  $37 -$22

5 pairs of shoes rented =  $15

1 pair of shoes rented = 15/5 = $3

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Answers

Answer:

f(4)=26

Step-by-step explanation:

f(2)=16

F(x) = kx+6

16=k(2)+6

16-6=k(2)

10=k(2)

10 =k(2)

2 2

5= k

f(4)=k(4)+6

=5(4)+6

=20+6

f(4)=26


A 15-inch piece of steel is cut into three pieces so that the second plece is twice
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What is the length of the first piece?

Answers

Answer:

3

Step-by-step explanation:

Let's represent 1st piece as a, 2nd as b, and 3rd as c.

2xa=b

a+3=c

Now replace the variables

a=3

b=6

c=6

3+6+6=15

PLEASE ANSWER At the city museum, child admission is  $5.70  and adult admission is  $9.30 . On Saturday,  155  tickets were sold for a total sales of  $1200.30 . How many adult tickets were sold that day?​

Answers

Answer:

88

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x = # of tickets for children

y = # of adult tickets

5.7x + 9.3y = 1200.3

x + y = 155

y = 155 - x

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Write the number.
10 ones
4 tens
3 hundreds

Answers

Answer:

350

Step-by-step explanation:

It is 350 because 10 ones is 10, 4 tens is 40, and 3 hundreds is 300 if you add them up you get 350.

The required number is 350 which represents 10 ones, 4 tens

and 3 hundred.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have been given information as

10 ones

4 tens

3 hundred

As per the given question,

Translate the information into an algebraic expression:

It's 350 since 10 ones are 10, 4 tens are 40, and 3 hundred is 300 when added together.

⇒ 1 × 10 + 4 × 10 + 3 × 100

⇒ 10 + 40 + 300

⇒ 350

Therefore, the required number is 350 which represents 10 ones, 4 tens

and 3 hundred.

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https://brainly.com/question/6037813

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Answers

X=4 because first u distruste and add the numbers then add 33 to both side

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Answers

9/22 * 11/6
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Answers

Answer:

(-11) A

Step-by-step explanation:

= -7 + 24 ÷ (-3)(2)

= -7 + 24 ÷ ((-3) . 2)

= -7 + 24 ÷ (-6)

= -7 + (-4)

= (-11)

Option A

Help please and thank you

Answers

Answer:

A)73 degrees

Step-by-step explanation:

180-39= 141

141= x+71 x+76

141= 2x+147

-6=2x

x=-3

76-3= 73

How many cups of flour are needed to mix with 1 cup of water?​

Answers

Answer:

It depends.

Step-by-step explanation:

It completely depends on the hydration you'd like of dough, for example if you'd like 60% hydration for pizza dough, you use 60% flour in comparison to water.

Good luck :)

(you can check for specific amounts online, those are pretty helpful. I myself am not too good at all the measurements apart from knowing this one!)

the sum of 12 times a number, n, and 4 is no more than 190. What are all the possible values of the number?

Answers

Answer:

{n:n≤15.5}

Step-by-step explanation:

√First derive the inequality from interpreting the statement,thus 12n+4≤190

√Second, solve the derived inequality ( ie.make n the subject)

√Finally, you'll arrive at the answer as n≤15.5

Therefore the possible values of the variable n is all numbers less than or equal to 15.5

PROOF

For n greater than 15.5

Let's take n to be 20

Therefore from the derived inequality

12n+4≤190

12(20)+4 = 240

Here,240 is greater than 190

Since for n≥15.5 will not satisfy the inequality n≠all numbers more than 15.5

£12000 in savings
1.5% interest per year
Value after 2 years

Answers

Answer:treeeeeeeeeeeeeeeeeeeeeeee

reuwq9iasuoajkaseeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:eeeeeeeeeeeeeeeeeeeeeeeeee

sjaiosjdisojkdisseeeeeeeeeeeeeeeeeeee

I need help with 11-18

Answers

Answer:

11)155º

12)25º

13)155º

14)25º

15)25º

16)155º

17)25º

18)155º

Step-by-step explanation:

180-25=155

diagonal angles are congruent

a line is 180º total

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