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.

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

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A. local
B. federal
C. state​

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teenagers
newborns
O children
working adults
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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-

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.

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

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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.

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.

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

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

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

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