4, 13, 5, 8, R, 5, 11

In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value

of R?

Answer:

Answers

Answer 1

Answers:

R can be either 8, 9 or 10

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

Explanation:

Let's exclude the R value for now.

The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.

Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.

If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.

So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}

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

If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.

Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.

If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.

So we've ruled out the cases that R = 5, R = 6 and R = 7.

If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.

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

Now let's consider the possibility that 8 < R < 11.

If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.

The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.

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

In short, R can be any of the following values: 8, 9, 10


Related Questions

Solve for x
5-3x - 1 = 25

Answers

Answer: Solve for x

x =  -7

Answer:

=  − 7

Step-by-step explanation:

5 - 3x -1 = 25

4 - 3x = 25

-3x + 4 = 25

-3x + 4 - 4 = 25-4

2 or more angles are supplementary if their sum is 180°. An angle is 4 times the value of its supplement.
I really need help to set up and solve an equation in order to find the measures of the 2 of the angles immediately!!!

I give the Brainliest to whoever got the best correct answer with anyone’s best efforts of step-by-step explanation, so anyway guys, good luck with your answering and I will check to see if you understand my question or not in order to answer my mathematics question! :)

Answers

Answer:

Smaller Angle : 36 degrees

Bigger Angle : 144 degrees

Step-by-step explanation:

So we can name the smaller angle x and the larger one 4x. We can add them and make the answer 180. x+4x=180, 5x=180, x=36

Smaller angle : x=36

Bigger Angle : 4x=36*4=144

Answer:

Angle X = 36

Angle Y = 144

Please give me Branliest

Step-by-step explanation:

Ok, so

X + Y = 180

and

4X = Y

So we substitute

X+4X = 180

5X = 180

X = 36

Now

36 + Y = 180

-36          -36

Y = 144


Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she
has to buy 3 pounds of onions?

Answers

Answer:

Lacey could afford 4.25lb of cherries

Step-by-step explanation:

Cost of onions= 3 lb x 0.98/1=2.94

21.45-2.94=18.48$

1 lb=4.35

18.48 x 1lb of cherries/4.35=4.25lb of cherries.

Hope I helped please mark brainliest it means a lot to my progression and thanks! <3

Find the perimeter. Simplify your answer.

Answers

Answer:

25x - 4

Step-by-step explanation:

10x + 2 + 8x + 7x - 6

= 25x - 4

Mrs. Reyes purchased nine books for her classroom that each cost $5.63. Using complete sentences, explain how to find the total cost of the books. Make sure your answer includes the steps of the algorithm you would use, as well as the product. HELP PLEASE i'm stuck

Answers

Answer:

5.63 x 9 = 50.67

Mrs. Reyes has spent $50.67 on books.

3/4 + 7/8 =??????????????????

Answers

Answer:

13/8

in decimal form it is 1.625

Step-by-step explanation:

Answer:

13/8 or 1 5/8

Step-by-step explanation:

Petro's family went out to eat. The bill for the food was 36.25. The restaurant tax was 3.37 and Petro left a tip for 5.75. What is the best estimate for how much the meal cost altogether?

Answers

Answer:

45.37

Step-by-step explanation:Based on the given conditions, formulate:

5.75

+

36.25

+

3.37

Calculate the sum or difference:

42

+

3.37

Calculate the sum or difference:

45.37

get the result:

45.37

Which statements must be true regarding the two triangles? Check all that apply.

∠M ≅ ∠M''
△LMN ~ △L''M''N''
△LMN ≅ △L''M''N''
The coordinates of vertex L'' are (-3, 1.5).
The coordinates of vertex N'' are (3, -1.5).
The coordinates of vertex M'' are (1.5, -1.5).

Answers

Answer: 1, 2, & 5.

Step-by-step explanation:

1) ∠M ≅ ∠M''

2)△LMN ~ △L''M''N''

5)The coordinates of vertex N'' are (3, -1.5).

Simplify the expression to a + bi form:
A (-10 – 6i) +(2+i)

What is the answer to this?

Answers

Answer:  -8 -5i

Step-by-step explanation:

(-10 – 6i) +(2+i)

-10 – 6i +2 + i

(-10 +2) + (i – 6i)

-8 -5i

add on a number line :(+7). (-7)​

Answers

-8———————0——————————10
-7 7
That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.

Answer:

-8———————0——————————10

-7 7

That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.

Step-by-step explanation:

mitchels room measures 10 inches by 6 inches on a scale drawing. what are the actual measermets of his room (in feet) of he uses a scale of 1 to 24?
width height

Answers

Answer:

20 ft by 12 ft

Step-by-step explanation:

(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft

(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft

Jillian was able to fill exactly 4 paper cups from 24 ounce bottle .At what rate how many cups can she expect to fill from a 66 ounces bottle?

Answers

Answer:

11 cups

Explanation:

24/4 = 6

66/6 = 11

How do you solve , (x-2)2 ?

Answers

Answer:

Distributive property of multiplication

Step-by-step explanation:

2(x-2)

Multiply 2 times x, multiply 2 times 2, so you get:

2x-4

Answer:

Does that help?

Step-by-step explanation:

If for evry 15 there is 25 what is the number for just 5

Answers

Answer:

I think it may be 8.3.

Step-by-step explanation:

15 = 25

15÷3=25

25÷3=8.3333333

Round it to 1 decimal place and you get 8.3

The length of a rectangular room is 20 times longer than the width . If the perimeter is 588, what are the dimensions of the room

Answers

Answer:

im a teacher sorry not giving answer only hint

explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

thank you

Which expression is equivalent to 56+23m+12−16m?


Answers

Answer:

Step-by-step explanation:like like l'ike m y vieo9dsssssssss

The equivalent expression is 7m + 68

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = 56 + 23m + 12 - 16m

Adding the like terms in the equation , we get

A = ( 56 + 12 ) + ( 23m - 16m )

On Simplifying , we get

A = 68 + 7m

A = 7m + 68

Hence , the required solution is 7m + 68

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

If 40% of a number is 24, find 10% of that number.

Answers

Answer:

6

Step-by-step explanation:

is    %

of   100

24  40

x    100

2400/40 equals 60

60 divided by 10 equals 6

y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.

Answers

Answer:

y = 32/2.5

Step-by-step explanation:

formula:

y=kx

k = y/x

k= 4/2.5

so this is k

y = 4/2.5 x

y = 4 / 2.5 × 8

y = 32/2.5

answer.) y = 32/2.5

hope it was helpful

thank you

Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1

2
x
.
Leave your answer in the form
y
=
m
x
+
c

Answers

Answer:

is the line are perpendicular then the product of there slope is -1

the slope of the first equation is 2

Step-by-step explanation:

m1+m2=-1

2+m2=-1

m2=-1-2

m2=-3

so the second equation became y=-3x+C

then insert the point (-1,2)

2=-3*-1+C

2=3+C

C=2-3

C=-1

so y=-3x-1

Hope that helps

A submarine is cruising at an elevation of
-250/3 meters below sea level, then
descends another 120% meters into the
sea. What is the new location of the
submarine?……NO LINKS

Answers

Answer:

Step-by-step explanation:

these are two different questions .

first i solve first

position of submarine= -250/3 meters below see level

height descended=120 % of 250/3=120/100 ×(250/3)=300,00/300=100 m

new location=-250/3+(-100)=-650/3 below see level.

2nd question

position of submarine=-250 2/3=-752/3 m below see level

height descended=120 5/8=965/8 m =-965/8 m below see level

new positin=-752/3+(-965/8)=-(6016+2895)/24=-8911/24=-371 7/24m below sesa level.

rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)

Answers

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

Multiply -3 and 0.4m

Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

11. In right triangle CAT, angle. If CA = 6 and CT = 8, find AT.

Answers

Answer:

AT=5.29 or 2√7

Step-by-step explanation:

Pythagorean  theory

a²+b²=c²

CAT means ∡ A is 90°

so CA is one of the leg (a) and AT the other leg (b)

CT is the (c)

6²+b²=8²

b²=64-36

b=√28

=5.29

1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.

A. −2

B. 10

C. 46

D. 2

Answers

Answer:

-2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = - [tex]\frac{-12}{6}[/tex] = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2

linear equations

1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2​

Answers

1. x = 2
2. x = 9
3. a = 3
4. x = 13
5. c = 3
6. s = 3
7. x = 7
8. c = 0
9. b = 1
10. c = 4
11. x = 4
12. x = 8
13. x = 12
14. y = 10
15. x = 11
16. x = 10
17. x = 6
18. x = 11

Find the perimeter. Simplify your answer.

Answers

Answer:

28w + 12

Step-by-step explanation:

Perimeter = 9w + 1 + 8w + 3 + 6w + 8 + 5w

= 28w + 12...ans

Hope it Helps you!!

9. Which of the following relations are functions? Choose all that apply. Assume that each different variable
has a different value.
{(a,b),(0,0),(c.c),(e,d)}
{(c,e),(c,d),(0,b)}
{(6,5),(c,d),(d.c),(0,0)}
{(a,b),(b,c),(c,d),(d,e)}

Answers

Answer:

A and c sorry if I'm wrong

What will be the total amount of money in the account at the end of that year

Answers

Answer

How much there is at the end of the year, I cant answer the question seriously if you do not include the whole question bub next time put the whole question, best of luck.

Step-by-step explanation:


Calculate measures of central tendency and
dispersion for the following:

Find the mean, median, midrange, mode, range, standard deviation and Quartile graph

Data: 54, 92, 101, 83, 45, 102, 99,76, 79, 85, 90, 100,
98, 71, 65, 63, 90, 88, 70, 60, 90, 58,81

Answers

Answer:

The mean is 80, the median is 83, and the mode is 90

Step-by-step explanation:

y+7=2(x+5) in standard form ​

Answers

Answer:

[tex]2x-y=-3[/tex]

Step-by-step explanation:

[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]

[tex]\underline{\sf{Solve\:for\:}y}:[/tex]

[tex]y+7=2(x+5)[/tex]

[tex]=y+7=2x+2\cdot5[/tex]

[tex]= y+7=2x+10[/tex]

[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]

[tex]=y+7-7=2x+10-7[/tex]

[tex]\underline{y=2x+3}[/tex]

what is 29,032 to the nearest thousands​

Answers

Answer:

29,000

Step-by-step explanation:

Answer:

30,000 i believe

Step-by-step explanation:

if that isnt the right answer then its just 29,000

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