Five whole numbers are written in order.
4 6 х у
10
The mean and median of the five numbers are the same.
Work out the values of x and y.

Answers

Answer 1

Answer:

x = 7

y = 8

Step-by-step explanation:

The following data were obtained from the question:

Data => 4, 6, х, y, 10

Mean = Median

x =?

y =?

Next, we shall determine the mean of the data. This can be obtained as follow:

Data => 4, 6, х, y, 10

Mean =?

Mean = summation of data / number of data

Mean = 4 + 6 + х + y + 10 / 5

Mean = 20 + х + y / 5

Next, we shall determine the median of the data. This can be obtained as follow:

Data => 4, 6, х, y, 10

Median =?

Median = the middle term of data

Median = x

Next, we shall equate the mean and median. This can be obtained as follow:

Mean = 20 + х + y / 5

Median = x

Mean = Median

20 + х + y / 5 = x

Cross multiply

20 + х + y = 5x

Collect like terms

20 + y = 5x – x

20 + y = 4x

Make y the subject

y = 4x – 20

Case 1

Let x = 7

y = 4x – 20

y = 4(7) – 20

y = 28 – 20

y = 8

Mean = 20 + х + y / 5

Mean = 20 + 7 + 8 / 5

Mean = 35/5

Mean = 7

Median = x

x = 7

Median = 7

Mean = median = x = 7

Case 2:

Let x = 8

y = 4x – 20

y = 4(8) – 20

y = 32 – 20

y = 12

We can see that y is 12 which means that the data (i.e 4, 6, х, y, 10) would become 4, 6, х, 10, y. But from the question, we were told that the data (i.e 4, 6, х, y, 10) is in order. Therefore if y is 12, the order would be altered.! And this is not acceptable.

From the above illustration, we can conclude that:

x = 7

y = 8


Related Questions

Divide 1170 denars in a ratio of 2: 3: 8.

Answers

Answer:

180:270:720

Step-by-step explanation:

total units-> 13u

1 unit -> 1170÷13=90

2u->90×2=180

3u->90×3=270

8u->90×8=720

3/4 + 1/3x = 6 Solve for x

Answers

Just subtract 3/4 from both sides that divide 1/3 and x to get your answers

[tex] \frac{3}{4} + \frac{1}{3}x = 6 [/tex]

Multiply both sides of the equation by 12

[tex]9 + 4x = 72[/tex]

Move constact to the right-hand side and chancge it's sign.

[tex]4x = 72 - 9[/tex]

Subtranct the numbers

[tex]4x = 63[/tex]

Divide both sides the equation by 4

Solution:

[tex]x = \frac{63}{4} [/tex]

Alternate Form:

[tex]x = 15 \frac{3}{4} x = 15.75[/tex]

f(x) = 2x2
Find f(-6)

Answers

Is it 2 times x squared (2x^2?

2 * 6^2
2 * 36
72

5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

0.065

Step-by-step explanation:

64.9 / 1000 = 0.0649 --> 0.065

Answer:

15.406 kg of sugar per muffin. Just have to divide 1,000 by 64.9

Step-by-step explanation:

3/4 is 60% of what number?

Answers

3/4 is 60% of 45.

[tex] \frac{60}{1} [/tex]

[tex] \frac{3 \times 60}{4 \times 1 } = \frac{180}{4} [/tex]

[tex] \frac{180}{4} = 45 \\ \frac{4}{4} = 1[/tex]

[tex] \frac{45}{1} = 45[/tex]

Answer:

10/8 or 1.25

Step-by-step explanation:

We can write this into an equation to help us understand what we need.

3/4=0.60x

We can make these both into fractions to make it easier.

3/4=6/10x

Divide both sides by 6/10, or multiply both sides by 10/6.

3/4×10/6=30/24=10/8=1.25

10/8=x

I will mark Brainlyist write a equation for the line shown below​

Answers

Answer:

5 1/2 and -5 1/2

Step-by-step explanation:

thats just what the arrows point to

find the image of (1,2) after a reflection about x =3 followed by a reflection about x=7

Answers

Answer: (9,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The cost of 3 diaries is £12
Work out the cost of 7 diaries.
Your final answer must say, 7 diaries cost £

Answers

Answer: 28

the cost of 7 diaries is 28

Step-by-step explanation:

First you have to find out the cost of one diary by dividing 12 by 3, that will give us 4, and then the last step is multiplying 4 by 7.

Answer:

7 diaries cost £28

Step-by-step explanation:

12/3=4 7x4=28

How many eighth note are in
a eighth note

Answers

[tex]question[/tex]

How many eighth note are in

a eighth note?

Sixteenth Notes

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

The Four eighth notes has a value of half note in the duration.

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞

Four eighth notes= half note

half note=2 beats per second

SO

2X8=16

#CarryOnLearning

Which point also lies on line B?

Answers

If a point lies on a line then every point that lies on the line also lies on it besides that point. In other words if line is a subset of R2 plane every point not in R2 but in line is by definition every point on the line or simply a line.

-

I am certainly missing information in this question but you asked for it (the above euclidean definition), LEARN how to pose a question or do not pose it at all.

Hope this helps.

Answer:

The answer is (6, 9)

Step-by-step explanation:

you see the picture do I really have to say something

Linear function whose graph has a slope of 7

Answers

Answer:

y=7x?

Step-by-step explanation:

just a slope of 7 here, but you could add some # like y=7x+4

Answer:

y=7x

let me know if it helps thanks

Help help help plzzzz

Answers

Answer:

2.5824 × 10⁶

204/5.3 = 38.49056. Round to 38.49

Step-by-step explanation:

scientific notation

1.20 × 2.152 = 2.5824.

Answer:

1. 2.58

2. 39

Step-by-step explanation:

25x + 15y=17
25x + 15y=305$



Neee answer ASAP

Answers

Answer:

1st. Problem

Let's solve for x.

25x+15y=17

Step 1: Add -15y to both sides.

25x+15y+−15y=17+−15y

25x=−15y+17

Step 2: Divide both sides by 25.

25x/25 = -15y+17/ 25

x equals...

x= -3/5 y + 17/25

2nd. Problem

Let's solve for x.

25x+15y=305

Step 1: Add -15y to both sides.

25x+15y+−15y=305+−15y

25x=−15y+305

Step 2: Divide both sides by 25.

25zx/25 = -15y305/25

x equals...

x = -3/5 y + 61/5

Y’all I need help ASAP
Late Submis Suppose there is a 16.2% probability that a randomly selected person aged 25 years or older is a jogger. In addition, there is a 26.4% probability that a randomly
selected person aged 25 years or older is male, given that he or she jogs. What is the probability that a randomly selected person aged 25 years or older is male and
jogs? Would it be unusual to randomly select a person aged 25 years or older who is male and jogs?
Incorre
The probability that a randomly selected person aged 25 years or older is male and jogsis (Round to three decimal places as needed)
jestion 4 (0/2)
✓ Question
Jestion 8 (1/1)
Question
estion 12 (0/1)
✓ Question
Jestion 16 (0/1)
x Question
estion 20 (0/1)
Question
OK
This course (Sprin
Terms of Use | Priy
Enter your answer in the answer box and then click Check Answer
Check AnsMe

Answers

Answer:

I'm not 100% sure, but I do think it is

0.042768

But it is asking for percentage, and says to round 3 decimal places, making it confusing whether you round 0.042768 first, or you round the percentage of 4.2768%. I would argue with your teacher, as the excuse of why this was turned in late.

Step-by-step explanation:

It is either 4.277% or 4.3%.

Yes, you may wonder why the second possibility is just a rounded form of the first answer. It is due to rounding to three decimal places first, as 0.042768 rounded to three places is 0.043 because the 7 is more than 4 blah blah blah kiddy rhymes from elementary school yeah.

That would become 4.3%.

But 0.042768 if you turn it to a percent first is 4.2768% which becomes 4.277% if you round it afterwards. Argue this to a teacher or something.

Exercise 1.6 introduces a study on the relationship between socio-economic class and unethical behavior. As part of this study 129 University of (California Berkeley undergraduates were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others.
A. Identify the population of interest and the sample in this study.
B. Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Answers

Answer:

(A) Population: UCB undergraduates

Sample: The selected 129 UCB undergraduates

(B) Yes, they can be generalized to the population

No, the findings of this single study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.

Step-by-step explanation:

STUDY: Relationship between socio-economic class and unethical behavior.

The bases for determining social class here are:  money, education, and respected job.

RESULT: Those who identified as upper class took more candy than others.

(A) Identify the population of interest and the sample, in this study.

The population of interest in this study is UCB undergraduates.

The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.

(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.

The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.

.
How do you find the area of a rectangle

Answers

Answer:

length x width

Step-by-step explanation:

for example, if a rectangle has a length of 5 and a width of 2 you would multiply 5 and 2 to get the area of 10

area = l x h

5 x 2 = 10 < the answer (10)

Compare the following numbers, use a <, > to fill in the blank: 6 __  2

Answers

Answer:

6 _>_  2

Hope it helps

Have a good day

The cone holds 12 cubic inches of grout. When the container below is fullit will hold____cubic inches.

Answers

Answer:

brainliest?

Step-by-step explanation:

the amount of space taken up by the cylinder, measured in cubic units ... A cylindrical container is used to hold water. It has a diameter of 30 ... A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. Mishka ... Isabella's Ice Cream Parlor uses waffle cones that are 5 inches in diameter and 6 inches tall.

Unit price $12 for 150lb bag

Answers

Answer:

For $1 its 12.5lbs

Step-by-step explanation:

Need hep with these questions brainlest and 20 points

Answers

Answer:

w

Step-by-step explanation:

because the order says

ABCD

WXYZ

Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is ____
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is _____

Answers

Answer:

1 solution

2.88

Step-by-step explanation:

Consider this quadratic equation.

x ^2+ 2x + 7 = 21

Subtract 7 from both sides

x ^2+ 2x + 7 -7= 21-7

x^2+2x = 14

x^2+2x -14 = 0

Factorize

x = -2±√2²-4(-14)/2

x= -2±√4+56/2

x = -2±√60/2

x = -2±7.75/2

x = -2-7.75/2 and -2+7.75/2

x = -9.75/2 and 5.75/2

x = -4.88 and 2.88

Hence there are 1 number of positive solution

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is 2.88

Answer:

The number of positive solutions to this equation is

1

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is

2.87

Step-by-step explanation:

what is something i could say to make the most people mad

Answers

Answer:

well ages 5-8 a yo mama joke older just say the same thing to them over and over again or just dont talk to them

Step-by-step explanation:

What is 75% of 5000.

Answers

Answer:

3750

Step-by-step explanation:

Answer:

3750

Step-by-step explanation:

0.75 x 5000

Quick answers please!!!

Answers

Answer:

Step-by-step explanation:

The higher the frequency, the higher the pitch.

so it 10000 Hz

Answer:

10,000 Hz

Explanation:

Pitch is directly proportional to frequency . Hence, 10,000 Hz has a highest pitch.

John can walk 6 dogs in 3 hours. Susie can walk 7
dogs in 2.5 hours. How long would it take them to
walk 15 dogs together?

Answers

Answer:

It would take them 6.5 hours to walk 15 dogs together.

Step-by-step explanation:

John can walk 2 dogs in 1 hour.

If you multiply that by 3, he can walk 6 dogs in 3 hours.

So that means he can walk 8 dogs in 4 hours.

Susie can walk 7 dogs in 2.5 hours.

Meaning that if you add 8 dogs plus 7 dogs, you get 15 dogs.

Meaning that if you add 4 hours plus 2.5 hours, you get 6.5 hours.

That being said, they can both walk 15 dogs TOGETHER in 6.5 hours.

Mark me Brainliest Please.

I need help solving this step by step

Answers

Answer:

x = -10

Step-by-step explanation:

1) A line creates a 180° angle on each side of it. Even if another line intersects it, we know that the total measure of angles on that side will equal 180°.

2) We set the equations equal to 180.

(-4x) + (-14x) = 180

Combine like-terms

-18x = 180

Isolate x by dividing both sides by -18.

x = -10

3) To solve for each angle, you can plug in -10 for x and solve.

-4(-10) = 40°

-14(-10) = 140°

X=-10 :) hope this helps good luck!


What is the solution to 4
***25-79
ΧΣ- 12
ΧΣ 12
Ο χK12
Ο χ4 - 12

Answers

Answer:

[tex]\displaystyle x \leq 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle -\frac{3}{4}x + 2 \leq -7[/tex]

Step 2: Solve for x

[Subtraction Property of Equality] Isolate x term:                                           [tex]\displaystyle -\frac{3}{4}x \leq -9[/tex][Division Property of Equality] Isolate x:                                                         [tex]\displaystyle x \leq 12[/tex]

Here we see that any value x smaller than or equal to 12 would work as a solution to the inequality.

Given that M is the midpoint of line segment AC, AM = x + 20, and MC = 5x - 4. Find the lenght of AM.

Answers

Answer:

6 units

Step-by-step explanation:

AM = MC

AM = x + 20

MC = 5x - 4

x + 20 = 5x - 4

20 = 4x - 4

24 = 4x

x = 6

The required length of the AM is 27.

Given that,
M is the midpoint of line segment AC,
AM = x + 20, and MC = 5x - 4.
To find the length of AM.

What is the midpoint?

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,
M is the midpoint of line segment AC, i.e.
AM = AC                             - - - - - - - - - - -- - - (1)
AM = x + 20, and MC = 5x - 4
Put  AM and MC in equation 1

x + 20 = 5x - 4
5x - x = 20 + 4
4x = 24
x = 24 / 4

x = 7

Now,
Length AM =  x + 20
Length AM =  7 + 20
Length AM =  27

Thus, the required length of the AM is 27.

Learn more about midpoints here: https://brainly.com/question/28224145
#SPJ2

Josh has a $250 gift card to Under Armour.
He plans to buy as many pairs of shorts as he
can. The cost of each pair is $22.50. There is also
a single shipping charge of $6.50. How many
pairs of shorts can he afford without spending
more than his gift card amount? Write the
inequality, then solve, and state your answer.

Answers

Answer:

8 pairs

Step-by-step explanation:

250/29 = 8.6

so 8 is the answer cause you probably can't cut them in half

Answer:

10 pairs

22.50x+6.50<_250

Step-by-step explanation:

If you do 22.50 times 10 you get 225 then you add 6.50 which would give you 231.50. You cant add any more pairs of shoes because you would go over the $250 limit. For example if you added 22.50 one more time you would be at 254. Therefore it would be 10 pairs of shoes.

Please help!
F(x)=1-3x;x=4,x=4+h
Determine net change and average change between the given values of the variables

Answers

f(x) = 1-3x, x = 4 , x = 4+h

(a) find the net change of f(x):  

f1= f(x=4) = 1-3(4) = 1 - 12 = -11

f2= f(x=4+h) = 1-3(4+h) = 1-12 + 3h = -11 - 3h

Net change = f2 - f1 = -11 -3h - -11 = -3h

(b) average rate of change = slope = (f2 - f1)/(x2-x1) = -3h/((4+h)-4 =-3

Other Questions
Which of the following is an example of a reflex: an unlearned, automatic response by an organism to a stimulus in the environment?O becoming angry at your friend for raising his voiceO becoming bored at a weddingO sitting very still in the classroomO the pupil of your eye contracting in the presence of bright light Why do people flag a question or answer to that question just because it isn't the type of question/answer they want to see? 2) Which two sentences from the passage clearly express theauthor's idea of compromise?oveSchools have an obligation to prepare students toA)excel on state standardized exams.One way to avoid the problems raised byB) voluntary tutorials is to make these sessionsmandatoryI believe that education is deeply, intimatelyC) concerned with the development of the humanperson.Students who do not experience the thrill ofperforming in front of a live audience, the joy ofD) creating poetry, or the satisfaction of strenuousathletic training have been poorly served by thepublic school system.Therefore, I propose the following strategy: Thisschool district should establish partnerships inthe private sector. Local businesses, for example,E)can provide gift cards, movie tickets, and discountcoupons to be distributed to students who takepart in the voluntary tutorials. what is the mixed number for 9.8 Which of these decreased during the Second Industrial Revolution? find the value of the missing variables which are M, A, and XI really need help on this, please help. the distance from wakefield to london is 180 miles a train travels this distance in 2 hours 15 minutes. calculate the average speed of the train? find the measure of angle y Read the excerpt from Team Moon.Which detail from the excerpt identifies a solution? *EXTRA PTS* solve this. identify each shape as translation, rotation, and reflection. You have $1,000 of birthday money in a savings account that earns 8% simple interest. If you have not spent any of it for 5 years, what is your TOTAL balance? (Balance = Principal + Interest) Mrs. Hughes uses 1/2 pieces of chalk every day in her classroom. She has a pack of 48 chalks. How many school days will she last? HELP ME PLEASEEEEE!!!! (joyce if u answer something unproper u will get reported) The earliest form of metal currency is called what? a Knife or Shard b Shells c Coins d Yen What is the solution of the equation?6(y + 3) + 3 = 51a. 6 b. 11 c. 5 d. 11 What is an ordinance? a type of executive order issued by the Presidenta requirement imposed by the U.S. Supreme Court a law passed by a local or city governmenta non-binding recommendation passed by Congress 45 POINTS Select the correct answer.Which of these fully describes a topic sentence?O A.a debatable claim that needs to be supported with evidenceB.a thesis statement supported by each paragraph of an essayOc.a claim within a paragraph that supports an essay's thesisD.a definitive sentence that plots the outline of a paragraph Please solve this for 15 points I need help please and thank you Terrence cuts a piece of cake for himself.Answer the following 2 questions regarding this piece of cake. The first thing you need to notice on this prism is that the base of this prism is actually a triangle, making it a triangular prism. This is because the triangles are the only sides that are parallel to each other.What is the area of the triangular base?Answer: cm2