Shown below are five cards which are arranged in order from smallest to largest 5 The range of the cards is 4. The median of the cards is 8. The mean of the cards is 7. Work out the 4 missing numbers.

Answers

Answer 1

Answer:

5, 5. 8, 8, 9

Explanation:

The five cards are:

5 _ _ _ _

[tex]Range = 4[/tex]

[tex]Median = 8[/tex]

[tex]Mean = 7[/tex]

Required

Complete the numbers

First, we have:

[tex]Range = 4[/tex]

This is calculated as:

[tex]Range = Highest - Lowest[/tex]

So, we have:

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

Solve for Highest

[tex]Highest = 4 +5[/tex]

[tex]Highest = 9[/tex]

So, we have: 5 _ _ _ 9

Next: [tex]Median = 8[/tex]

This implies that the middle number is 8

So, we have: 5 _ 8 _ 9

[tex]Mean = 7[/tex]

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

Let the two missing numbers be a and b.

So, we have:

[tex]Mean = \frac{5 + a + 8 + b + 9}{5}[/tex]

[tex]\frac{5 + a + 8 + b + 9}{5} = 7[/tex]

Multiply both sides by 5

[tex]5 + a + 8 + b + 9 = 35[/tex]

Collect like terms

[tex]a + b = 35 - 5 - 8 - 9[/tex]

[tex]a + b = 13[/tex]

Since the number are ordered in ascending order.

And we have: 5 _ 8 _ 9

Then: [tex]5 \le a \le 8[/tex] and [tex]8 \le b \le 9[/tex]

a must be between 5 and 8 (inclusive)

b must be between 8 and 9 (inclusive)

Using trial by error:

[tex]a = 5\ and\ b = 8[/tex]

Because:

[tex]a + b = 13[/tex]

[tex]5 + 8 = 13[/tex]

Hence, the complete list is: 5, 5. 8, 8, 9


Related Questions

Medicaid is run by the ___?___ governemnt.
A. local
B. federal
C. state​

Answers

Federal government runs the healthcare
medicaid is run by the federal government.

Georgia tends to be very passive and allows people to take advantage of her. What would a
humanist/existentialist be most likely to say about Georgia?
O Georgia needs to enter analysis so that she can begin to resolve whatever unconscious conflicts are at the
root of her passivity.
Georgia will find it difficult to change because she probably has very deep-seated feelings of inferiority.
Georgia can become more assertive once she begins to feel better about herself and recognizes that she has
the ability to fulfill her potential.
Georgia simply needs to take an assertiveness training course in which she can learn and practice assertive
behaviors.

Answers

Answer:

Explanation:

Start earning $76/hourly for working online from your home for few hours each day... Get regular payment on a weekly basis... All you need is a computer, internet connection and a little free time... Read more here..>>>>>>>> www.Nifty2.com

Competition! Points to people who answer any random thing and first gets brainliest!

Answers

Sidbiwjdiakjfowjdiwkdudochicken

What will happen if you lose all of your Tcells?​

Answers

Answer:

The answer is, they can lose their functionality and become 'exhausted

What is the difference between the left and right lung?

Answers

Answer:

The lungs are not equal in size. The right lung is shorter, because the liver sits high, tucked under the rib cage, but it is broader/wider than the left. Each lung is separated into lobes branching off the main bronchus the right lung has three lobes, while the left has only two lobes. That's why the left lung and the right lung are difference.

Explanation:

I hope this helps. Or more in fact that this is the right answer. Let me know if is isn't. And if you need anymore help. Thank you have a good day.

Margret is 23 years old and has been experiencing a painful burning sensation during urination. She noticed that despite the pain, she felt like urinating more frequently and with more urgency. Her urine is cloudy and has a foul odor. She is worried that it may contain blood as well due to the color. She has a slight fever that has been going on for the past few days.

Answers

Answer:

A yeast infection? I don't really know what you are asking

4.4 Assignment
Helping Friends
Name:
Date:
Directions: For this assignment you will outline the stages of change and simultaneously explain how
you can help/support a friend while they are in each stage. Think of a friend and an action or behavior
that needs to be changed. Contemplate each stage of change discussed in the lesson, and answer the
questions.
1. What is your friend's name? (a fictitious name can be used) (1 point)
2. What is the action or behavior that needs to be changed? (2 points)
3. Complete the chart. (2 points each)
Stage
What actions or characteristics is
your
friend exhibiting that show he/she is
in this stage?
What can you do at
this stage to help or
support your friend?
Pre-

Answers

Answer:

a)It is Daniel

2.Smoking drugs,he behave in a strange way such as to steal from other people's products like cellphones

3)He is walking in a strange way

☆He doesn't wash his body

☆He smell drugs

3b)I can help him by sending him to the helping centre of drugs&alcohol addiction people to get help and give him advices for changing his life to be the better person than he was.

18) If heart rate is decreasing, what portions of the nervous system are being activated? Highlight all
that apply.
Afferent division
Somatic nervous system
Sympathetic nervous system
Efferent division
Autonomic nervous system
Parasympathetic nervous system

Answers

Answer:

Autonomic nervous system

parasympatheic nervous system

What do vrt stand for as it applies to the medical transcription

Answers

Answer:

Voice Recognition Technology.

Explanation:

Which groups are more prone to choking? Check all that apply.
teenagers
newborns
O children
working adults
the elderly

Answers

The elderly as they may suffer from disabilities or dementia which puts them at more risk

3. Which of these is a vaccine most similar to? **
a
O a
a bacteria
O a vinus
O an innoculation
a disease

Answers

Answer:

an innoculation a disease

Answer: c


Explanation:

How many grams are in 200ml of 20% solution

Answers

Answer: The answer I have concluded for this question would be [tex]\textbf{200g}[/tex] (grams).

Explanation: Hope this helps! Have a wonderful day <3!

There are 40 grams in 200 mL of a 20% solution.

To determine the number of grams in a solution, you need to know the percentage concentration and the volume of the solution.

In this case, you have a 20% solution and a volume of 200 mL.

To calculate the number of grams, you multiply the volume by the percentage concentration and divide by 100.

Number of grams = (Volume in mL * Percentage concentration) / 100

Number of grams = (200 mL * 20%) / 100

Number of grams = (200 mL * 0.20)

Number of grams = 40 grams

Therefore, there are 40 grams in 200 mL of a 20% solution.

Learn more about % concentration, here:

https://brainly.com/question/30979213

#SPJ6

This section has no vocabulary words identified. Find 2 terms you think some people might have trouble with and highlight or underline them. Annotate a short definition or description for the words.

Answers

Answer:

Of what?

Explanation:

Analyzing Teamwork

Two pharmacy technicians have been thinking about the best way to organize empty bottles and labels in the pharmacy. They_________ and come up with a solution.
During the process, each technician listened to the other's ideas, demonstrating _______ for a coworker.

Answers

Answer:

1. Collaborate

2. Respect

Explanation:

I calculated it logically

g Osteoporosis and related low bone mass affect many adults in North America, especially older women. One-third of all women experience fractures because of this disease, amounting to about 2 million bone fractures per year. Osteoporosis is a disease you can do something about. Some risk factors cannot be changed, but others, such as poor calcium intake, can. Is this true for you

Answers

Answer:

That is true.

Explanation:

Osteoporosis promotes bone loss and people who suffer from this disease are more prone to fractures, especially in dangerous places like the hips and spine. Although some factors that promote this disease cannot be avoided, such as the genetic factor, osteoporosis can be prevented and even avoided with adequate intake of calcium, which is one of the main elements of bone mass. However, it is incorrect to say that only calcium intake is sufficient to prevent osteoporosis, as it is necessary to combine food with constant physical activity, which is capable of strengthening and promoting density to the bones.


Which system is under involuntary control?
O a. SNS
O b. ANS
C. PNS
d. CNS

Answers

The answer is B. ANS
Other Questions
The pen is mightier than the sword What does this mean? At one farmers market, bananas cost $0.80 per pound. At another farmers market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag Need help please???????!!!!!! 1.20108s to nanoseconds If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have? When new cells are formed through the process of mitosis, the number of chromosomes in the new cells Solve for x. 26x29x=0 affable shepherd named Jiang, who truly enjoyed playing the lute. Jiang's instrumentwas simple and plain, crafted from the wood of a native bamboo tree. Despite itsmodest appearance, the lute brought liang much joy. He created appealing music thatlured the other villagers out to listen to him. Having an audience made Jiang feelaccepted, and he quickly formed an important bond with the poor villagers.?Chao, however, didn't like Jiang. He hated Jiang's lute playing and the way thevillagers admired Jiang. Although liang was an excellent person and a hard worker,Chao fired liang from his job and smashed the lute into pieces3Miserable and brokenhearted, Jiang hung his head as he walked through the forest.Good fortune soon came to him, however, when he bumped into a compassionate oldman who felt sorry for Jiang's loss.*The elderly man carved a new lute for Jiang and taught him to refine his playing technique. Soon, liang played better than everbefore. Villagers and woodland creatures from all over came to hear him perform.5Chao heard gossip of the woodland animals and decided that he wanted to capture a flaxen white rabbit with a spotted head.He promised his farm and his fortune to the son who could capture the specific rabbit for himThe sons had never laid eyes on such a rabbit before, and they didn't know where to find one, but because they knew the rabbitwould bring them riches, they decided to search for it.Which word BEST describes the farmer's sons?A)fairB)greedymiserableD)cooperative Figure A is a scale image of figure B.Figure AFigure B16Figure A maps to figure B with a scale factor of4.9What is the value of 3? 34% of a shirt order for a department store arrived damaged. If the orderwas for 500 shirts, how many of the shirts were damaged? * Which one would it be? Line AB connects the ends of the horseshoe and passes through the stake at point (x,y). If the equation for line AB is x = 6, which of these might be the coordinates of the stake? Assume that all the points lie in a rectangular coordinate system. https://portal.achieve3000.com/images/uploads/m910_teensatcamp09.gif How many joules of energy are required to vaporize 13.1 kg of lead at its normal boiling point? How did the angle of insolation affect temperature? What can you conclude about the effects of the position of the sun? answer the question for 15 points and brainlest please help. this is due in 10 min (image) PLZ HELP ASAP NO LINKS AND NO STEALING POINTS OR ELSE I WILL REPORT IT HAS TO BE AN IMPROPER FRACTION. Which item can you add using the tag?OA.a movieOB.an imageOC.a documentaryOD.a music file If you shift the quadratic parent function f(x))=x^2right 12 units what is the equation o the new function I need help! this is for U.S history, 8th grade. ill give brainliest IF YOU ANSWER WITH AN EXPLANATION, because i actually want to learn this and pass this test