What are the 5 positive integers that have a mode of 2 and 4, a median of 4 and a mean of 5

Answers

Answer 1

Answer:

10 i belive

Step-by-step explanation:

Answer 2

Hence, the five positive integers are 2, 2, 4, 4, 13.

What is a mean , median and mode?

Mean- The arithmetic mean of a given data is the sum of all observations divided by the number of observations.

Median-The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.

Mode-The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.

Step by Step Solution:

According to the question , it can be concluded that the total no. of observations are 5.

So , Let n=5

Let  the integers be a, b, c, d and e

The question says that mode(s) are 2  and 4.

This indicates that 2 and 4 both have occurred more than once , and both have same frequency since both are modes.

Since we have only 5 integers , and 2 and 4 both are modes , so both these numbers have possibility to occur only twice.

Hence , it becomes , a=2 , b=2 , c=4 , and d=4

Hence we can say that out of five required integers ,four of them are 2 and 4.

Further , we are given that mean is 5.

therefore , using formula:

Mean = Sum of Observations / Number of observations(n)

Mean=  (a+b+c+d+e) / 5

5 = (2+2+4+4+e) / 5

5 = (12+e)/5

Multiplying both sides by 5 , we get :

25 = 12+e

e=25-12

Hence , e = 13

So,  the five positive integers are 2, 2, 4, 4, 13.

Learn more about Mean , Mode and Median at:

https://brainly.com/question/12051754

#SPJ2


Related Questions

Someone please help me ?:)

Answers

9514 1404 393

Answer:

  (c)  6 inches

Step-by-step explanation:

The ratio ...

  1 in : 2 ft

can be multiplied by 6 to find the length corresponding to 12 ft:

  6×1 in : 6×2 ft

  6 in : 12 ft

The ceiling height in the model is 6 inches.

What is the difference between (-10)² & -10²? What are the values for each expression?

Answers

Answer:

(-10)² = 100

-10² = -100

Difference = 200

Step-by-step explanation:

For the individual expressions;

(-10)² = -10 * -10

(-10)²  = +100

For -10²

-10² = -(10*10)

-10² = -100

Taking the difference;

(-10)² - (-10²) = 100 - (-100)

(-10)² - (-10²) = 100 + 100

(-10)² - (-10²) = 200

Hence the difference is 200

1/2(7x- 6) = 6x – 10.

Answers

Answer:

Hopes this answer your question :)

Step-by-step explanation:

If x(x - 3) = 0, what are the two values of x that would make the statement 10 points
true?

Answers

Answer:

0 & 3

Step-by-step explanation:

First x is by itself so the root is 0

Second is 3 because you set x-3=0 and add 3 to the other side so x=3

Answer:

0 and 3

Step-by-step explanation:

You need to find the root of the equation, which would be 0, and 3.

To find the root, all you do is solve for x.

Please help its my last question

Answers

Answer:

Step-by-step explanation:

Acute as it is less than 90 degrees

Answer:

acute

Step-by-step explanation:

its less than 90 see the image

Please help me with this math problem, 20 points!

Answers

Answer:

The first one

Step-by-step explanation:

If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?

Answers

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

Can someone help. Will award if correct.

Answers

Answer:

Shari is correct

Step-by-step explanation:

Here, we want to select the correct translation of the graphed function

9 spaces down (vertically on y-axis) and 4 spaces right, to the positive x axis

What we have here means we go 9 units down, subtracting 9 from the y-value(f (x)) and adding 4 to x

The correct answer is;

f(x) = -2(7/10)^(x + 4) - 9

Two students flipped a coin 100 times and recorded the results. Find the experimental probability of flipping the coin and getting tails.

Answers

Answer:

I'm not too sure about this one, but I think it's 36% since that's

how many they got when they flipped the coin. In reality, it's 50% for both sides.

NEED HELP ASAP PLZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!
A conference is expecting between 640 and 1,088 attendees. The conference is serving pizza for lunch. If the conference must order 8 pizzas per 32 attendees, approximately how many pizzas should the conference order?

A.

27 pizzas

B.

13,824 pizzas

C.

56 pizzas

D.

216 pizzas

Answers

Answer:

D 216 pizzas

Step-by-step explanation:

if there expecting 1,088 I would say that's 56 pizzas


Function: Yes or no

{(-3,4),(-2,5),(0,0),(-2,5),(4,8)}

Answers

Answer:

Yes.

Step-by-step explanation:

Every input has a specific output.

ima say yes but I may not be correct if somebody else answers chose them and let me be your last chose ;-;

HELP ME W THIS PROBLEM PLEASE!!!!!

Answers

Answer:

d

Step-by-step explanation:

Determine the domain on which the following function is decreasing.

(Please include an explanation)

Answers

the way I remember domain(the distance where x is shown) and range(the distance where y is shown) is that it lines up with an ordered pair. It sounds wrong to say range and domain, just like it sounds wrong to say y,x.

the answer for this would be [0,11]

Select all tables that represent a proportional relationship between X and Y

Answers

Answer:

The 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where k is called the 'constant of proportionality'.

Given the table

x         0          5           10             15

y         2         17           32             47

Let us calculate the k value for all the points

FOR (0, 2)

k = y/x

substitute x = 0, and y = 2

k = 2 / 0 = ∞

FOR (5, 17)

k = y/x

substitute x = 5, and y = 17

k = 17/5

k = 3.4

FOR (10, 32)

k = y/x

substitute x = 10, and y = 32

k = 32/10

k = 16/5

k = 3.2

FOR (15, 47)

k = y/x

substitute x = 15, and y = 47

k = 47/15

k = 3.1

It is clear that the 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

(x-5)(x+1)
O x= -1 and x = 5
O x= -1 and x = 14
O x= 1 and x = -5
O x = 14 and x = 5

Answers

Answer:

X= -1 and x=5

Explanation:

Make it equal to zero
X-5=0
Then add five to both sides
X=5
For the other one do the same
X+1=0
Then subtract one on both sides
X=-1

Hope this helps!

In a pack of pretzel sticks , 1/4 number of the total number pretzel sticks is 14. Write and solve an equation to find the total number of pretzel sticks in the pack "x"

Answers

if i’m reading this right, the equation would be: x=14x4. because if 1/4 of the bag of pretzel sticks is 14, then you’ll need to multiply 14 by 4 to get the rest of the bag.

An elevator in a mine shaft is stopped at a .25 feet below ground level. And then travels 28 feet downward. What equation can be written to find the final position in feet of the elevator in relations to ground level?

Answers

Correct question:

An elevator in a mine shaft is stopped at 25 feet below ground level. And then travels 28 feet downward. What equation can be written to find the final position in feet of the elevator in relations to ground level?

Answer:

-53 feets

Step-by-step explanation:

Initial stop point = 25 feets below ground level

Further distance traveled = 28 feets below ground level

Final position in feet = Initial stop point + further distance traveled

Note : distances or point traveled below ground level or downward is represented as negative.

Final position in feets = (-25)feets + (-28)feets

Final position in feets = - 53 feets

There is a sample of 500 and the population proportion is 0.47. What is the probability that the proportion is greater then 0.50

Answers

Answer: 0.0895

Step-by-step explanation:

Let p= population proportion.

Given : Sample size : n= 500

p= 0.47

Required probability = [tex]P(\ha{p}>0.50)[/tex]

[tex]=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.50-0.47}{\sqrt{\dfrac{0.47(1-0.47)}{500}}}) \\\\=P(z>1.344)\ \ \ [z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(z<1.344)\\\\=1-0.9105\approx0.0895[/tex]

Hence, required probability = 0.0895

3 type of different triangles

Answers

Answer:

read below

Step-by-step explanation:

equilateral

isosceles

scalene

5x to the second power-13x +6
guys answer only

Answers

Answer:

-138

Step-by-step explanation:

HELPPP it’s a test quest.. 20pts

Answers

Answer:

I think that the answer is A

Answer:

and because it was a test.

Step-by-step explanation:

that was the answer ok so for the mathematical errors. okay? undostands?

Show work!!!!!!!!!!!!!!!!

Answers

33.5 - 21.9 = 11.6 this is the answer to your question

Please help please....

Answers

Answer:

Step 3

Step-by-step explanation:

They didn't subtract the 1 on the right side making it equivalent

Lucy paid $45 for a new sweater that was on sale. It was on sale for 25% off the original price. How much was the original price of the sweater?
Please give an explanation please please please

Answers

Answer:

it was 33.75

Step-by-step explanation:

find unit rate for me pls ? which check marks which box

Answers

Answer:

the answers are

60

90

30

30

60

please answer the question :(

Answers

ANSWER:
y = -4/3x + 2

EXPLANTION:
The line is going down, so that’s means the slope is negative.
The line goes down 4 and right 3 that means the slope is 4/3
The line cross positive 2 on the y-intercept (0,2), so 2 is the y intercept.
Putting these information together is your answer :)

FUN FACT:
These are the 4 types of slopes

I hoped this help and have a *AMAZING* day :3

Answer:

y = (- 4/3) x + 2

Step-by-step explanation:

Remark

The y intercept is (0,2)

The other point is you could use is (3,-2)

First find the slope

The two given points are (0,2) and (3,-2)

Givens

y2 = - 2

y1 = 2

x2 = 3

x1 = 0

Formula

m = (y2 - y1)/(x2 - x1)

Solution for m

m = (-2 - 2)/(3-0)

m = -4/3

Solution for the line

m = - 4/3

y intercept = 0,2

y = mx + b

y = (- 4/3) x + 2

Zachary and his children went into a grocery store and will buy bananas and peaches.


Each banana costs $0.50 and each peach costs $1.50. Zachary has a total of $8 to


spend on bananas and peaches. Write an inequality that would represent the possible


values for the number of bananas purchased, b, and the number of peaches


purchased, p.

Answers

Answer:

0.5b + 1.5p ≤ 8

Step-by-step explanation:

The inequality function is as follows:

Let us assume the number of bananas acquired be b

And, the number of peaches acquired be p

Cost of each banana be $0.50

ANd, the cost of each peach be $1.50

Also the total would be $8

The possible values of banana is 0.5b

And, for peaches it would be 1.5p

So, the inequality function is

0.5b + 1.5p ≤ 8

Answer:

0.5b + 1.5p ≤ 8

Step-by-step explanation:

a + 3 + 2a = - 1 + 3a + 4 solve for A

Answers

Answer:

A=0

Step-by-step explanation:

a + 3 + 2a = - 1 + 3a + 4

a+2a-3a=-1+4-3

3a-3a=0.

0=0

Safe wheelchair ramp specifications require about 4.75° maximum angle to be constructed with the ground. At a particular building, the owner is installing a wheelchair ramp that needs to rise 1 feet off the ground. The owner insists on constructing the angle with the ground at 3°. How much horizontal distance will the ramp cover with these specifications?

Answers

Answer:

The ramp must cover a horizontal distance of approximately 19.081 feet.

Step-by-step explanation:

Given the vertical distance ([tex]y[/tex]), measured in feet, and the angle of the wheelchair ramp ([tex]\theta[/tex]), measured in sexagesimal degrees. The horizontal distance needed for the ramp ([tex]x[/tex]), measured in feet, is estimated by the following trigonometrical expression:

[tex]x = \frac{y}{\tan \theta}[/tex] (1)

If we know that [tex]y = 1\,ft[/tex] and [tex]\theta = 3^{\circ}[/tex], then the horizontal distance covered by this ramp is:

[tex]x = \frac{1\,ft}{\tan 3^{\circ}}[/tex]

[tex]x \approx 19.081\,ft[/tex]

The ramp must cover a horizontal distance of approximately 19.081 feet.

(4x + 5x) + 6x = 4x + (5x + 6x)

Answers

Answer:

9x=15x

Step-by-step explanation:

This is not correct

Answer:

it's correct

Step-by-step explanation:

(4x + 5x) + 6x = 4x + (5x + 6x)

9x+6x = 4x+ 11x

15x=15x

proved ✓✓

Other Questions
5.5x10 6.50x10'Express the calculation in correct significant digits Calculate the mole fraction of Ba Cl 2 in an aqueous solution prepared by dissolving 0.400 moles of Ba Cl 2 in 850.0 g of water. A basement is shaped like a rectangular prism with a length of 14 yards, a width of 6 yards, and a height of 3 yards.What is the volume of the basement? 2x/3 divided by 3x/2 if x does not equal 0 Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them? 25 POINTS A biologist wants to classify protein secretions Into groups based on the principal function of the protein. Which cell would the biologist select to study and why? A-The cell on the left, because it has genetic information organized into chromosome B-The cell on the left, because it has organelles that secrete proteins. C-The cell on the right, because it has free proteins throughout its cytoplasm . D-The cell on the right, because it has a flagellum that enables movement . Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 30 mph, and Juanita rides at a speed of 27 mph, how far apart will they be in 3 hours? A. 181 miles B. 111 miles C. 171 miles D. 57 miles What phase of the cell cycle does DNA synthesis occur?O TelophaseAnaphaseInterphaseO ProphaseO MetaphaseO Cytokinesis I NEED HELP!! I DON'T UNDERSTAND THIS AND I NEED IT BAD! Thomas buys a coat in the 15% off sale for 35.70.How much would the coat have cost before the sale? Factorise fully 3x+3 Which chemical equation represents a redox reaction There are a number of roles held by various users of online digital media, including contributors, conversationalists,critics, organizers, spectators, and joiners. Often, people who have a strong presence online will hold two or more roles.Describe at least three of these roles. Of the roles you described, why might someone act on two of them at the sametime? That is, what kind of online activity would result in a person taking on those two roles? The king's residence comprises a palace and conical huts, the whole surrounded by a fencelike a wall. Around the royal town are huts and groves of thorn trees where live the magicians who control their religious rites. These groves, where they keep their idols and bury their kings, are protected by guards who permit no one to enter or find out what goes on in them.- from Al-Bakri's "Description of Ghana," 11th CenturyAccording the the historian Al-Bakri, the town is surrounded by dwellings that are home toA. entertainers B. farmersC. kingsD. priests 2x -1 = x - 3what's x? Examine rectangle JKLM, shown below.If JN=x+3 and JL 3x + 1, determine which of the following values is correct 1.8 (x 6) = 36I need this fast. I think its 26... (x=26) but it says Im wrong.. Help please!!!! determine and describe ten best practices for managers competing in the global environment, challenged with diversity, global economics, and social responsibility. Support your best practices with Internet research and your personal experience. Emiliana runs a restaurant that receives a shipment of 505050 tangerines every day. According to the supplier, approximately 12\, percent of the population of these tangerines is overripe. Suppose that Emiliana calculates the daily proportion of overripe tangerines in her sample of 505050. We can assume the supplier's claim is true, and that the tangerines each day represent a random sample. What will be the shape of the sampling distribution of the daily proportions of overripe tangerines may you guys help me with this question. i'm not good at percentage