Mathematics High School

if the mean of 4,6,4,7,(x+1),8 and 2 is 5 ,find the median​

Answers

Answer 1
Answer:  Median = 4

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

Explanation:

The mean is found by adding up all of the values and dividing by n, where n is the number of values in the set.

In this case, we have n = 7 values here. We count (x+1) as well since x is a placeholder for a number, which makes (x+1) also a placeholder in a sense.

As for what replaces x, we're not sure yet but we can use algebra to solve.

Lets add up all of the values given except for the "5" at the end. That 5 is the mean which is not part of the data set.

Adding up those values mentioned gives:

4+6+4+7+(x+1)+8+2 = x+32

Then divide this over n = 7 to get the mean 5

(x+32)/n = mean

(x+32)/7 = 5

-----------------------------

Let's isolate x

(x+32)/7 = 5

x+32 = 7*5

x+32 = 35

x = 35-32

x = 3

If x = 3, then x+1 = 3+1 = 4

So the (x+1) is being a placeholder for the number 4.

In other words, we'll replace the (x+1) with 4.

The data set of

4,6,4,7,(x+1),8,2

updates to

4,6,4,7,4,8,2

-----------------------------

We'll get to the median in a moment, but first we need to check if we have the correct replacement for (x+1)

Add up the values in the set {4,6,4,7,4,8,2}

Doing so leads to: 4+6+4+7+4+8+2 = 35

Then divide by n = 7 to compute the mean: 35/n = 35/7 = 5

We get the mean is 5 which matches with the instructions. So we have the correct replacement for the (x+1). We can now find the median.

------------------------------

To find the median of any data set, we need to make sure the numbers are in order from smallest to largest.

Right now {4,6,4,7,4,8,2} is not sorted, but we can sort the items to get {2,4,4,4,6,7,8}

The median is at the exact middle. In this set, the median is that third copy of '4'. Note how "2,4,4" is to the left of the median while "6,7,8" is to the right of the median. There is the same number of values on either side of the median to show things are balanced and we are at the center point.

As an alternative, you can cross off each pair of outer values one at a time until you steadily arrive at the midpoint, which again is that third copy of '4'.

So that's why the median is 4.

Related Questions

Your teacher gave you 78 of a bag of candy, but she only gave your friend 14 of a bag. How much more of the bag did your teacher give you than your friend?

Answers

Answer:

64

Step-by-step explanation:

78 - 14

You have to subtract your amount of candy by the friends which would be 78-14=64

Whoever gets this correct gets brain, 5 stars and a thanks! An explanation of it would be amazing! Tysm!

Answers

Answer:

D: 12

Step-by-step explanation:

1) So what I did at first was convert the fractions into decimals.

(Personally, this makes it easier, for me at least)

[tex]\frac{1}{4} = 0.25\\[/tex][tex]\frac{3}{5} = 0.60[/tex]

2) The problem states that for every 0.25 cups of broccoli, 0.60 grams of fiber are added as well to the mix. You can also convert this into a fraction. (It doesn't matter which one is the numerator/denominator, but for this example, I used the 0.25 cups of broccoli as the numerator.

[tex]\frac{broccoli}{fiber} =\frac{0.25}{0.60}[/tex]

3) Next step would be making another fraction. This time, the fraction is for the 5 cups of broccoli. Since we don't know the amount of grams for the fiber, we will replace it with an "x".

[tex]\frac{broccoli}{fiber} =\frac{5}{x}[/tex]

4) Realize, that |  [tex]\frac{0.25}{0.60} =\frac{5}{x}[/tex] |  To figure out the answer to this part, you can cross-multiply

[tex]0.25x = 5(0.60)[/tex][tex]0.25x = 3[/tex]

5) Then at last, divide both sides by [tex]0.25[/tex] and you'll get:

[tex]x=12[/tex]

Sorry this may have taken a long time; I just wanted to make sure everything was correct. Hope you do well on math, whether it's a test, or just homework. Good luck! :D

help me with this please

Answers

This is incorrect. X can be negative, making the expression on the left less than 0. If x were -10, then:
3 x -10 + 1 > 0
-30 + 1 > 0
-29 > 0
Is NOT true.

Cell phone Plan A costs $60 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?

Answers

Answer:

hi

Step-by-step explanation:

60x=50x+500
-50x=-50x+500
10x=500
500/10 = 50

It would take 50 months for your plan to be the same as A

What is the volume of the cube shown?

Answers

It’s 11 24/64 i did this too

log26x nnnnnnnnnnnnnnnnnnnnnnnnnn

Answers

Answer:

? what

Step-by-step explanation:

Answer:

what?......................

I need answers to this

Answers

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x  - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

Help please I need this!!!

Answers

Answer:

n and y are incorrect

Step-by-step explanation:

Please find the square root of this non perfect square please

Answers

Answer:

1.41421

Step-by-step explanation:

What is the example please tell meeee !!!!!!3!!:!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

it would be 2:3 and 3:2

Answer:

2:3 and 3:2....

Juan sells 3 oranges for every 2 apples. How many apples should Juan expect to sell
when Juan sells 15 oranges:

Answers

Answer:

10 apples

Step-by-step explanation:

We can write a ratio to solve

3 oranges     15 oranges

--------------- = -----------------

2 apples           x apples

Using cross products

3x = 2 * 15

3x = 30

Divide by 3 on each side

3x/3 = 30/3

x = 10

Answer:

He can expect to sell 10 apples

find the length of the missing side

Answers

Answer: 55.4

Step-by-step explanation:

Remember soh cah toa

tangent = adjacent/opposite

angle is 18 degrees

Opposite is 18

Adjacent is x

So tangent of 18 degrees = 18/x

Use calculator to find tangent of 18 =0.3249

So 0.3249 = 18/x

Reciprocal both sides

3.0777 = x/18

Multiply both sides by 18

x = 55.3983

You may need to round


Last week, while running
the mile, Eva's time was
2 1/2 minutes over her
average time. This week,
her she ran - 4 1/2 minutes
from her average What is
the difference in the two
running times?

Answers

Answer:

the difference is 2 minutes

Step-by-step explanation:

is that -4 1/2???? cause then it would be -2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the volume of the rectangular prism? A rectangular prism has length of 10.4 millimeters, width of 5 millimeters, and height of 8 millimeters.

Answers

Answer/Step-by-step explanation:

Volume = L*W*H

L = 10.4

W = 5

H = 8

10.4* 5 = 52

L*W = 52

52* 8 = 416

L*W*H = 416

Therefore,

ANSWER: 416

if needed in volume form 416^3

The right rectangular prism is made of equally sized cubes. If the length of each cube is 1 meter, what is the volume of the right rectangular prism?
v

72 m3

13 m3

44 m3

36 m3

Answers

Answer:

72 m3

Step-by-step explanation:

Just multiply every number, 6*3*4=72

An engineer lives 21 miles east and 22 miles north of a water tower. A bridge she is
building is located 12 miles west and 34 miles south of the water tower. Find the
distance between where the engineer lives and the bridge

Answers

Answer:

t

Step-by-step explanation:

What is 9 (4x^2 - 3) simplified?

Answers

Answer: 36x^2 -27

Step by step: just multiply 9 into the brackets

Given a cylinder with a radius of 8 inches and a height of 20 inches. Which of
the following choices is NOT a possible cross section of this cylinder?

Answers

eu ainda n sei mas se alguém responde vai me ajudar tmb

help all it says is Rise over Run​

Answers

Answer:

(3,-4)

Step-by-step explanation:

rise=go up

run=go left or right

if you go left its negitive if you right its positive

always start with the lower dot

hopes this helps id you need more help just message me

You water your roses every sixth day and your hydrangeas every fifth day. Today you water both plants. In how many days will you water both plants on the same day again?

Answers

Answer:

Either 5 or 6 I'm not sure but I got this

GIVING 20 POINTS AWAY PLEASE HELP ME WITH THIS QUESTION ASAP!!

Answers

Answer:

D 144 in hope this helps you on your test

Calculate the diameter of a circle if its circumference is 25.1cm​

Answers

Answer:

d≈7.99 cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for d

d=C/π=25.1/π≈7.98958

Someone plz HELP ME
Don't skip this question I'M STUCK
Drawing box and whiskers plots
​

Answers

Answer:

Water is added to liquid isopropanol (a polar liquid) to form a solution of rubbing alcohol. Describe what happens on the molecular level as the water dissolves in the isopropanol.

Step-by-step explanation:

The mean age of 5 people in a room is 27 years.
A person enters the room.
The mean age is now 27.
What is the age of the person who entered the room?

Answers

The answer is 135
27 x 5=135

Answer:

thee answer is 27

Step-by-step explanation:

As the first part was 27 and the second pARTR 27 NO MATHS NEED TO BE INCLUDED AS 27 IS THE CORRECT

What is the value of the expression 2 + x2.5 when x = 3?

Answers

Answer:C. 47

Step-by-step explanation:

Answer:

C. 47

Step-by-step explanation:

I did the calculations

[tex]6^{3}[/tex] times [tex]6^{7}[/tex]

1.[tex]6^{21}[/tex]
2.[tex]36^{21}[/tex]
3.[tex]6^{4}[/tex]
4.[tex]6^{10}[/tex]

Answers

6^10

Or

Answer 4

This is because 3+7 is 10

For future problems, exponents can be added and that’s how you get the answer :)

Answer:

6^10

Step-by-step explanation:

When u ve base that are the same(6) u can add the exponents (7+3 = 10)

And keep the base the same

Please help me with this question?!

Answers

Answer: d

Step-by-step explanation:

there was some ham in the refrigerator tyrisha used 3/4 of a pound to make sandwiches and jacquel used 7/8 of a pound to make sandwiches if there is now 2 1/2 pounds of ham leftover how much ham was there before tyrisha and jacquel used some

Answers

4 and 1/8

Step by step explanation:

You convert 3/4 and 7/8 to the LCM (Lowest Common Denominator) which would be 8 so
3/4 = 6/8 + 7/8= 13/8 = 1 and 5/8 pounds
Then you add 2 and 1/2 pounds to 1 and 5/8 pounds ,but again u need the LCM which would be 8 so 2 1/2 = 2 4/8 pounds
2 4/8 pounds + 1 and 5/8 pounds = 4 and 1/8 pounds

Sorry if it’s wrong

Which of the following statements are true? select all that apply.

Answers

Answer:

what are the statements?

use the expression 4z + 8 + 3x + b to answer the following

part A what are the different terms in this expression

part B what is the constant in this expression

part C what are the coefficients of the variable terms​

Answers

Answer:

part a:

4z, 8, 3x, and b

part b:

8

part c:

4 and 3

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