the median of 6 consecutive integers is 9. what is the largest number

Answers

Answer 1

If the median of 6 consecutive integers is 9, the largest number is equal to 8.5.

Given the following data:

Median, M = 9.Number of consecutive integers, n = 6.

What is a median?

In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.

In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.

For the largest number, we have:

Since consecutive integers must follow each other sequentially with a difference of 1, so the largest number is given by:

Largest number = Median + (n - 1)/2

Substituting the given parameters into the formula, we have;

Largest number = 6 + (6 - 1)/2

Largest number = 6 + (5)/2

Largest number = 6 + 2.5

Largest number = 8.5.

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Related Questions

The area of a square garden is 9 m2 . how long is each side of the garden

Answers

Answer:

A=9cm square

or,l square=9 cm square

or,l=3 cm.

how many significant digits are there in the number 2.25x10 using significant digits

Answers

Answer:

3

Step-by-step explanation:

2.25×10=22.5

If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.

.
...........................

Answers

Agreed.
You did a great job!

The coordinates of the point
of the way from A to B are____

Answers

The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).

How to find the coordinates of a point within a line segment

In this problem we find a line segment whose endpoints are known: A(x, y) = (- 3, - 6), B(x, y) = (10, 4), and of which we need to find a point C such that it is 3 / 10 of the way from point A to point B, whose exact location can be found by means of the line segment formula:

C(x, y) = A(x, y) + (3 / 10) · [B(x, y) - A(x, y)]

C(x, y) = (- 3, - 6) + (3 / 10) · [(10, 4) - (- 3, - 6)]

C(x, y) = (- 3, - 6) + (3 / 10) · (13, 10)

C(x, y) = (- 3, - 6) + (3.9, 3)

C(x, y) = (0.9, - 3)

The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).

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solve -15.4+25.2+(-10.4)=

Answers

Answer:The answer is -0.6

Step-by-step explanation: -15.4-10.4 is -25.8

                                             -25.8+25.2 is -0.6

                           So therefore the answer is -0.6

the answer to this is —0.6

Consider a cube with an inscribed sphere. The function can be used to find the radius, r, of a sphere given the volume, v. The function can be used to find the side length of the cube, s, depending on the radius of the sphere. The function can be used to find the surface area, a, of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?

Answers

The composed function for the surface area of the cube for any given volume of an inscribed sphere, A(V) =  24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex]

The function used to find the radius r of a sphere given volume V,

r(V) = [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex]

The function used to find the length of the side s of the cube depending on the radius r of the sphere, s(r) = 2r

The function used to find the surface area A of the cube depending on the side of the cube s, A(s) = 6s²

We need to find the composed function for the surface area A of the cube for any given volume V of an inscribed sphere. i.e., A(V)

We have, A(s) = 6s²

Substituting function for s to A(s)

⇒ A(s(r)) = 6(2r)² = 24r²

Substituting function for r into A(s(r)),

⇒ A(s(r(V))) = 24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex])²

So the function for the surface area of the cube depending on the volume of the inscribed sphere, A(V) =  24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex]

The question is incomplete. Find the complete question below:

Consider a cube with an inscribed sphere. The function  r(V) = [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex] can be used to find the radius, r, of a sphere given the volume, V . The function  s(r) = 2r can be used to find the side length of the cube, s , depending on the radius of the sphere. The function A(s) = 6s² can be used to find the surface area,  A , of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?

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Answer:

Answer is D

Step-by-step explanation:

Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used of Rocky's time to finish the race. How much time did the winner use to finish the race?
Please answer this and I'll give 30 points!

Answers

I think you might be missing a few words in the sentence “The winner of the race *used of Rocky’s* time to finish the race”.

I will solve up to what I can do.
the fraction 5/12 is equivalent to 25/60 (times it by 5). this would mean Rocky finished the race in 25 seconds. With that knowledge, you can get the fraction of the winner and find his seconds.

Select all of the equations that represent linear relationships.
5+2y=13
y=1x²³+7
y-5=2(x-1)
=x+7
x=-4

Answers

Equation (1) ,(2),and (3) are the form of linear equation.


A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
(1). 5+2y= 13
2y=13-5
2y= 8
y=4.
So this is the form of mx+b
Where b=4 and x=0.
(2). y = x²³+7
It is the form of mx+b .
where mx = x²³ and x=7

(3). y-5= 2(x-1)
y-5 = 2x-2
y=2x-2+5
y=2x+3
It is completely the form of mx+b .
where m= 2 and b = 3.

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Please find the slope

Answers

1. Slope: 3 Y- intercept (0,2)

2. Slope: 0 Y- intercept (0,-3)

3.Slope: -6 Y- intercept (0, 2/5)

4. Slope: -2/5 Y- intercept (0,-4)

5.Slope: 0 Y- intercept (0,0)

What is the range of the numbers below?
8.1
5.2
-8.4
0.9
-4.7
-8.1

Answers

highest number: 8.1
lowest number: -8.4
range = highest number - lowest number
range = 8.1 - (-8.4) = 8.1 + 8.4 = 16.5
The answer is (-8.4,8.1)

Write out the sample space for the given experiment. Use the letter r to indicate red, g to indicate green, and b to indicate blue. A die shows 3 different colors on it. Give the sample space for the next 2 rolls.

Answers

The sample space for the given experiment is

{ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

What is Sample Space?

A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.

The die consists of 3 different colors namely red, green and blue

Here, the number of variables is 3 i.e red, green and blue.

The subset will contain

= [tex]2^{3}[/tex]

=8 elements.

The red color is indicated by 'r'

The green color is indicated by 'g'

The blue color is indicated by 'b'

The events that can appear in a single roll is r, b or g.

Sample space for the next 2 rolls

={ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

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sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2, and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x 3y

Answers

(1)  y-intercept is 490 and the slope is -2/3.

(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.

(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.

(4) The graph of the function is attached below.

(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.

(6) The equation is y = (-2/3)x + 300.

(1) 2x + 3y = 14703y = -2x + 1470y = (-2/3)x + 490y = mx + cHence, the y-intercept is 490 and the slope is -2/3.(2) First, plot the point (0,490) and then utilize the slope -2/3 to compute the direction and angle the line moves.(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.(4) The graph of the function is attached below.(5) 2x + 3y = 15933y = -2x + 1593y = (-2/3)x + 531y = mx + cThe profits have the same slope, but the y-intercept is greater than that of the previous month.(6) y-intercept is 300.slope = (0 - 300)/(450 - 0)slope = -2/3The equation is y = (-2/3)x + 300.

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What is the answer to this problem?

Answers

the answer of this problem it is 8

Answer:

8

Step-by-step explanation:

Given: x=2

Then,

5x-2 = 5(2)-2

= 10-2

=8

find the equivalent fractionsss with large denominatorsss

Answers

Answer:

12

Step-by-step explanation:

[tex] \frac{3}{8} = \frac{?}{32} [/tex]

8*4=32

3*4=12

What is the slope of the line that passes through the points (−4,−6) and (1,−6)?

Answers

The slope is 0 because both of the coordinates have the same Y values :)


I need help asap!! (Geometry)

Answers

Answer:

Below

Step-by-step explanation:

Flower bed A

C = 2πr

C = 2π(5)

C = 2(5)π

C= 10π

A= πr²

A= π(5)²

A= π25

A= 25π

____________________________________________________

Flower bed B

C = 2πr

C = 2π(6)

C = 2(6)π

C = 12π

A = πr²

A = π(6)²

A = π36

A = 36π

Find f(4)
if f(x) = -2x² + 4

Answers

Answer:  -28

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

Work Shown:

[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]

Explanation:

Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.

Subtract the algebric expression 4a - 3ab + 1 from 6a - 5ab - 9b + 8.

Answers

Answer: 2a-2ab+7

Step-by-step explanation:

6a-5ab+8-(4a-3ab+1)=

6a-5ab+8-4a+3ab-1=

2a-2ab+7

Answer:

2a - 2ab - 9b + 7

Step-by-step explanation:

The step here is to collect the like terms available like this;

6a - 5ab - 9b + 8

- 4a - 3ab - 0 + 1

which is = 2a - 2ab - 9b + 7

20 points can someone lmk the answer ty

Answers

Answer:

a  c  e

Step-by-step explanation:

A private jet flies the same distance in 7 hours that a commercial jet flies in 5 hours. If the speed of the commercial jet was 99 mph less than 2 times the speed of the
private jet, find the speed of each jet.
Answer

Answers

Answer:

Private jet - 165 mphCommercial jet - 231 mph

Step-by-step explanation:

Let the speed of the private jet is p and commercial jet is c.

Set equations

7p = 5cc = 2p - 99

Solve by substitution

7p = 5(2p - 99)7p = 10p - 49510p - 7p = 4953p = 495p = 495/3p = 165

Find c:

c = 2*165 - 99 = 330 - 99 = 231

what type of solution is y=5x+4+5x-2

Answers

The type of solution to the given simultaneous equations is no solution

What is the solution to the simultaneous equations?

When it comes to linear simultaneous equations as given in the question, there are different types such as; one solution, no solution or infinitely many solution.

We are given the simultaneous equations;

y = 5x + 4   ---(1)

y = 5x - 2   ----(2)

Using elimination method, subtract eq 1 from eq 2 to get;

0 = -2 - 4

0 = -6

0 cannot be equal to -6 and as such there is no value of x that makes the simultaneous equations true. Thus, the type of solution to the given simultaneous equations is no solution

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How to solve the inequality -20 ≤5a-10 <25

Answers

Answer:

-4[tex]\leq[/tex]a<7

Step-by-step explanation:

-20[tex]\leq[/tex]5a -10<25  add 10

+10       +10  +10

-20 [tex]\leq[/tex]5a<35  Divide all the way through by 5

-4[tex]\leq[/tex]a<7

Sophie borrowed some money from her friend in order to help buy a new video game system. Sophie agreed to pay back her friend $2 per week and originally borrowed $10. Make a table of values and then write an equation for L,L, in terms of t,t, representing the amount Sophie owes her friend after tt weeks.

what is the equation and the 1 2 3 4

Answers

The equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is; L = 2t + 10

How to write an equation in Slope Intercept Form?

The general formula for equation of a line in Slope Intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, from the given question, the table of values is;

Number of weeks         Amount of money owed

      0                                   10

      1                                     8

      2                                    6

      3                                    4

Now, since Sophie agreed to pay back her friend $2 per week and originally borrowed $10, it means that;

Slope = 2

y-intercept = 10

Thus, the equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is;

L = 2t + 10

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Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?

Answers

Answer:

8 tacos

Step-by-step explanation:

40 tacos    to     15 students

8 tacos       to      3 students

15/3 =5, so divide 40 by 5 to get 8

The angle below measures
__ degrees.

Answers

The angel measures 5 degrees

Write an equation in point-slope form

I NEED HELP ASAP

Answers

[tex]\huge\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]

Given a point and a slope, we want to write an equation in point-slope form.

The point-slope form is defined as:

[tex]y-y_1=m(x-x_1)[/tex]

In this equation, [tex](x_1, y_1)[/tex] is a known point on the line and [tex]m[/tex] is the line's slope.

Substitute in the values:

[tex]y-(-2)=-\dfrac{4}{3}(x-3)[/tex]

Finally, simplify. Subtracting a negative number is the same as adding a positive number:

[tex]\large\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]

Do number 8 please thank you

Answers

Answer:

a) true

b) false

c) false

Step-by-step explanation:

Here are these 4 sets in order of including more numbers to including fewer numbers.

R = all real numbers

Z = all integers

W = all whole numbers

N = all natural numbers

a) true

b) false

c) false

Please help!! Graph the image of the trapezoid
below using a scale factor of
k= 1/4

Answers

If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

Reduction and enlargement of figures using scale factors.

A scale factor is is a number used to enlarge a shape and each side is multiplied by the same number.

The given trapezoid has the coordinate points F(-2, 8), G(4, 8), I(-6, -4) and H(8, -4).

If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

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in exercises 13–17, the position d of a bicyclist (measured in kilometers) is a linear function of time t (measured in minutes). at time t

Answers

The position of the bicyclist at t=8 minutes is 3.2 km

Speed is the rate of change of position of an object in any direction.

position the way in which something or someone is placed or arranged.

when time t = 6 position d = 5

when time t = 5 position d = 2

when time t = 8 position d = x

therefore we can say

8 / x = 5 / 2

x = 8 * 2 /5

  = 3.2 km.

Hence the position of the bicyclist at t=8 minutes is 3.2 km.

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complete question:

The position "d" of a bicyclist (measured in kilometers) is a linear function of time "t" (measured in minutes). At time t=6 minutes, the position is d=5 km. If the bicyclists travels at 2 km for every 5 minutes, find the position of the bicyclist at t=8 minutes.

Please answer the two question in the photo [ Brainliest + points ]

Answers

Answer:

i think there both obtuse

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