The arithmetic mean (average) of five positive integers is 30. What is the greatest possible value of their median?

If your answer is right or applicable for the question, I'll give you brainliest :)

Answers

Answer 1

9514 1404 393

Answer:

  49

Step-by-step explanation:

The sum of 5 numbers that have an average of 30 is ...

  sum = 5×30 = 150

The numbers below the median need to be as small as possible, so that the remaining numbers can be as large as possible. If the two numbers below the median are both 1, then the sum of the remaining 3 must be ...

  150 -1 -1 = 148

The median will be as large as possible when the least of the remaining three numbers is as large as possible. That will be the case when those three numbers are all the same.

  148/3 = 49.333...

Since the numbers must be integers, the possible values for the high three numbers are 49, 49, 50.

In the set {1, 1, 49, 49, 50}, the mean is 30 and the median is 49. This value is the largest possible median for this set.


Related Questions

what is 2÷|3 - 4| in word form what is the absolute value of 3 munis 4 and then divided by 2

Answers

Answer:

2 divided by the absolute value of 3 minus 4.

Step-by-step explanation:

We're doing 2 divided by the absolute value of 3 minus 4 therefore we need to put it as I did. If you do not, it will be counted as incorrect as the order is in the wrong sequence.

Rana has a pencil box that is half full. She puts four extra pencils in and the box is now two-thirds full. How many pencils will fit into her pencil box?​

Answers

Answer:

In rana box there will be atleast 10 to 15 pencils

The measure of What is m Enter your answer in the box.

Answers

9514 1404 393

Answer:

  46°

Step-by-step explanation:

The angle sum theorem tells you a whole angle is the sum of its parts:

  ∠AKG = ∠AKD +∠DKG

  133° = ∠AKD +87°

  46° = ∠AKD . . . . . . . . . . subtract 87°

identify the segment bisector of RS. Then find RS

Answers

Answer:

RS = 32

Step-by-step explanation:

M is the bisector of RS , then

RM = MS , that is

6x - 2 = 3x + 7 ( subtract 3x from both sides )

3x - 2 = 7 ( add 2 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Then

RS = 6x - 2 + 3x + 7 = 9x + 5 = 9(3) + 5 = 27 + 5 = 32

Answer:

The segment bisector of RS is M.

RS = 32

Step-by-step explanation:

The segment bisector of RS is Point M since RM ≅ MS hence the congruency lines.

Since Point M is the bisector of RS, we know that RM = MS. We can then form the equation:

[tex]RM =MS\\RM+MS=RS\\\\6x-2=3x+7\\3x-2=7\\3x=9\\x=3\\\\RM=6x-2\\RM=6(3)-2\\RM=18-2\\RM=16\\\\MS=3x+7\\MS=3(3)+7\\MS=9+7\\MS=16\\\\RM+MS=RS\\16+16=RS\\32=RS\\RS=32[/tex]

i just need help w 16 :)

Answers

The answer is 110 degrees
150 - 40 = 110 degrees


A circle has a diameter of 32 cm. What is its circumference?

Answers

C≈100.53cm is the answer I got hope this helps

6x + x -0.9 = 6x + 0.9

Answers

Answer:

can you please explain more?

Step-by-step explanation:

The answer would be more clear if you gave more info

What is 1/4 ➗ 9 in simplest form? and how do i simplify it?

Answers

Answer:

1/36

Step-by-step explanation:

1/4 ÷ 9

= 1/4 x 1/9

= 1/36

PLZZZ HELPP
Write and simplify an expression for the area of the rectangle.​

Answers

Answer:

224 +70w

Step-by-step explanation:

14 (16+5w)

224 + 70w

Have a good day

Vertex A from△ABC△ △ A B C is located on the y-axis at the point (0, 4). If A is moved to a new position A' at (3, 5), describe how B and C must be moved to produce a new triangle that has the same orientation and is congruent to the original triangle.

Answers

The movement of a point along the coordinate geometry is referred to as translation.

Points B and C must be moved 3 units to the right and 1 unit upward to produce a new triangle that has the same orientation and is congruent to the original triangle.

Given that:

[tex]A = (0,4)[/tex]

[tex]A' = (3,5)[/tex]

Calculate the movement from A to A',

We simply calculate the difference between the coordinates of A and A'.

For the horizontal movement, we calculate the difference between the x-coordinates

[tex]x = x_2 - x_1[/tex]

[tex]x = 3 - 0[/tex]

[tex]x = 3[/tex]

This implies 3 units to the right

For the vertical movement, we calculate the difference between the y-coordinates

[tex]y = y_2 - y_1[/tex]

[tex]y = 5 -4[/tex]

[tex]y = 1[/tex]

This implies 1 unit upward

Hence, points B and C must be moved 3 units to the right and 1 unit upward to produce a new triangle that has the same orientation and is congruent to the original triangle.

Read more about translation at:

https://brainly.com/question/21931353

find the value of f (6)

Answers

Answer: 6f

Explanation: Move 6 to the left of F and remove the parentheses

One side of a rectangle has the length 5. Another side has length 2+9. What expression represents the area of the rectangle?

Answers

The answer is D

5(2+9)=55

5x2=10
5x9=45
45+10= 55

Pls help I’m confused
The scale of a map is 1
inch : 10 miles.
If a road is 3%2 inches on
the map, what is the
actual length of the
road? If a pond is 15
miles long, what is the
length of the pond on
the map?

Answers

1 inch= 10 miles

1 inch * 1 inch = 1 in^2 = 10 miles * 10 miles = 100 miles^2

so

1 in^2 is 100 mi^

Evaluate. (-9)2 = 1 (-5) = 1
help plsss​

Answers

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

the product of p and 12 is 8


help me pleaseee:>​

Answers

Answer:

p = 2/3

Step-by-step explanation:

Product means multiply so we are multiplying p and 12 to together and the outcome is 8.

12p = 8

Solve for p if needed.

12p/12 = 8/12

p = 8/12

p = 4/6

p = 2/3

Best of Luck!

Answer is P=4

Step-by-step explanation:

p+12=8

p=8-12 (when plus digit gets sent to the other side it becomes minus)

p=8-12= 4

In the expression (x^2 + 3), the base is ?

Answers

Answer to your question
The base is X
What are the other stuff then?
2 is the power
3 is the constant

What is the smallest integer that is above square root five?

Answers

sqrt5 = 2.23605~
smallest integer above = 3
√5=2.23607
∴the smallest integer that is above √5 is 3

Hope my answer helped u :)

Please help ;-; Are points R, N, M and X coplanar?

Answers

Yes they are that’s correct

I need Help ASAP i turn this in tomorrow and i have no Idea how to do it

Answers

Answer:

Give Brianly award plz

trying to rank up

Step-by-step explanation:

9. Start with 900 down cost. Cost increases by 5 each house. Cost is going UP

C = 900 + 5*b

Where C is cost and b is # of bird houses

Answer: 905,910,915,920,925,930,935

10.

Start with owing 500. if u pay BACK 15, you will owe 15 LESS. meaning:

X = 500 - 15*m

where x is amount owing and m is number of months

Answer: 485, 470, 455, 440, 425, 410, 395

11.

starting with 0, u simply add 10 to ur account each week

S = 10*w

where S is savings and w is # of weeks

Answer: 10,20,30,40,50,60,70

12.

Like question 11., you adding 10 but start with $25

S = 25 + 10w

Answer: 35,45,55,65,75,85,95

Find the next two
numbers in the
sequence. What is
the rule?
100, 25, 50, 12:5, 25,

Answers

Answer:

6.25, 12.5

Step-by-step explanation:

The sequence goes divide by 4 then multiply by 2

ANSWER ASAP GIVE BRAINLIST 100 POINTS

A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .

What is the length of a line segment joining these points?

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

Answers

The difference between both points is the distance

4-3/5=23/5-3-3/4=-15/4

Subtract

23/5-(-15/4)23/5+15/492+75/20167/208-7/20 units

Answer:

[tex]8\frac{7}{20}[/tex]

Step-by-step explanation:

Step 1:  Convert both mixed fractions into improper fractions

[tex]4\frac{3}{5}[/tex]

[tex]\frac{3+(4*5)}{5}[/tex]

[tex]\frac{3+20}{5}[/tex]

[tex]\frac{23}{5}[/tex]

[tex]-3\frac{3}{4}[/tex]

[tex]-\frac{3+(3*4)}{4}[/tex]

[tex]-\frac{3+12}{4}[/tex]

[tex]-\frac{15}{4}[/tex]

Step 2:  Convert to have common denominators

[tex]\frac{23}{5}*\frac{4}{4}[/tex]

[tex]\frac{23*4}{5*4}[/tex]

[tex]\frac{92}{20}[/tex]

[tex]-\frac{15}{4}*\frac{5}{5}[/tex]

[tex]-\frac{15*5}{4*5}[/tex]

[tex]-\frac{75}{20}[/tex]

Step 3:  Determine the length of a segment

[tex]\frac{92}{20}-(-\frac{75}{20})[/tex]

[tex]\frac{92}{20}+\frac{75}{20}[/tex]

[tex]\frac{92+75}{20}[/tex]

[tex]\frac{167}{20}[/tex]

Step 4:  Convert to mixed number

[tex]\frac{167}{20}[/tex]

[tex]\frac{(20*8)+7}{20}[/tex]

[tex]8\frac{7}{20}[/tex]

Answer: [tex]8\frac{7}{20}[/tex]

Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
One fifth of the difference of a number and 1.

Answers

Step-by-step explanation:

(x - 1) / 5

the difference of a number and 1, and then 1/5 of that.

The total amount of milk in a jug and a mug is T liters. If p ml of milk is taken from the mug to make pancakes, the amount of milk left in the mug will be half as much as that in the jug. Write an expression for the amount of milk, in liters, in the jug. Evaluate the expression if T = 2.5 and p = 250.​

Answers

Answer:

Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.

Step-by-step explanation:

10.
Write the equation in slope intercept form of a line with m = 3 that passes through (2,-1)

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

Use the slope intercept formula [ y = mx + b ], the slope, and the point given to find the y-intercept.

-1 = 3(2) + b

-1 = 6 + b

-7 = b

Now input the values we solved for and what we are given back into the formula.

y = 3x - 7

Best of Luck!

Please help!! Given the graphs of f (x) and g(x), find g (f (4)).
g(x)
5

Answers

Answer:

2

Step-by-step explanation:

Look at the graph, f(4) is at 3. So what is g(3)? it is 2.

The value of function g (f (4)) is 2.

Here,

Graph of f (x) and g (x) are shown.

We have to find the value of g (f (4)).

What is Composite function?

Composition  function is an operation of two functions f and g which produces a function J such that J (x) = g (f(x)).

Now,

The value of f (4) in graph is 3.

Hence,

g (f (4)) = g (3)

And, the value of g (3) is 2.

So, g (f (4)) = g (3) = 2

Hence, The value of function g (f (4)) is 2.

Learn more about the composite function visit:

https://brainly.com/question/10687170

#SPJ2

Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 0.42 + 2.14 = ___.

2.5
3
3.5
4

Answers

Answer:

2.5

Step-by-step explanation:

2.14

+ 0.42

= 2.56

the first number after the decimal is the tenth

Answer:

2.5 Would be the Correct Answer!

Express the following fraction in simplest form,only using positive exponents

Answers

Answer: -16.2k^10

Step-by-step explanation:

(3k^4)^5 / -15k^10

3^5k^20 / -15k^10

243k^20-10 / -15

243k^10 / -15

-16.2k^10

what's the square root of 39/196

Answers

546 I think and I hope this helps

Answer:

546

Step-by-step explanation:

Una cisterna con forma de prisma rectangular mide 1.5 m de ancho, 2 m de largo y 1 m de alto. Si está vacía y se vierten en su interior 150 L de agua por minuto, ¿cuánto tiempo tardará en llenarse?

Answers

Step-by-step explanation:

V = 1.5 × 2 × 1 = 3 m³ = 3000 L

tiempo = 3000 ÷ 150 = 20 minutos

URGENT

Can someone please convert the equation below into a logarithmic function?

Answers

Answer:

Step-by-step explanation:

y = [tex]e^{.4t}[/tex]

ln y = .4t

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