The mean of 30 numbers is 18. What will be the new mean, if each observation is
increased by 2.​

Answers

Answer 1

Answer:

The new mean will be 20.

Step-by-step explanation:

The Mean Value of a Data Set

The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:

[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]

Where xi is the value of each data and n is the total number of values.

The mean of n=30 numbers is [tex]\bar x=18[/tex]. If each observation is increased by 2, then xi'=xi+2 and the new mean value will be:

[tex]\displaystyle \bar x'=\frac{\sum x'_i}{30}[/tex]

[tex]\displaystyle \bar x'=\frac{\sum x_i+2}{30}[/tex]

[tex]\displaystyle \bar x'=\frac{\sum x_i}{30}+\frac{\sum 2}{30}[/tex]

The sum of 30 times 2 is 60, thus:

[tex]\displaystyle \bar x'=18+\frac{60}{30}=18+2=20[/tex]

The new mean will be 20.


Related Questions

What is the value of 24 - (-6 - (5 + 8))?

Answers

Answer:

43

Step-by-step explanation:

Simply follow PEMDAS.

24 - (-6 - (5 + 8))

24 - (-6 - 13)

24 - (-19)

24 + 19

= 43

6g + 3 = 21 ???? plz help lol

Answers

Answer:

3

Step-by-step explanation:

Answer:

g=3

Step-by-step explanation:

6g + 3 = 21

6g=18

divide by 6

g=3

Hope this helps!!

toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?​

Answers

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

Find f(x)=-8x+5 and g(x)=6x+8.
f(4)+g(2)

Answers

-7
you just plug in the number to the x
-8(4) + 5 + 6(2) +8
and then just calculate like normal

MATH AGAIN HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I think it is the first one but i could be wrong

What is the quotient

Answers

Answer:

-3

Step-by-step explanation:

if u need an explanation, reply and i'll give it to you. If not, have a good day :)

A 5-pound bag at Bargain Mart costs $6.45. A 2-pound bag at Food Saver costs $2.50. A 7-pound bag at Grocery Surplus costs $9.45 A 10-pound bag at Economart costs $12.89. ​ ​The shop with which sells flour for the lowest unit price is

Answers

Answer: Food Saver

Step-by-step explanation:

A 5-pound bag at Bargain Mart costs $6.45. The coat per pound will be:

= $6.45 / 5

= $1.29

A 2-pound bag at Food Saver costs $2.50. The cost per pound will be:

= $2.50 / 2

= $1.25

A 7-pound bag at Grocery Surplus costs $9.45. The cost per pound will be:

= $9.45 / 7

= $1.35

A 10-pound bag at Economart costs $12.89. ​The cost ​per pound will be:

= $12.89 / 10

= $1.289

Therefore, the shop which sells flour for the lowest unit price is Food Saver.

I need help with my work​

Answers

Answer:

number 6 is -8 number 7 is 9 number 8 is 25 and number 9 is -16

Pleas help. Please and thank :)

Answers

Answer:

126

Step-by-step explanation:

42/2= 21

21 times 6 = 126

answer is 126 pages

plez give brainliest

2 and 9 multiples of 2??

Answers

Is 2 and 9 multiples of 2?

2 is a multiple of 2 but 9 isn't

What is the equation of the quadratic function represented by this table?

x 5 6 7 8 9 10
f(x) -4 5 8 5 -4 -19

Type the correct answer in each box. Use numerals instead of words. f(x) = (x − )2 +

Answers

Answer: f(x) = -3(x-7)^2+8

Step-by-step explanation:

-3, 7, 8

f(x)= -3

(x- 7)^2+

8

So the answer is  -3, 7, 8

Step-by-step explanation: Got it right on Edmentum

subtract 4/5-1/5 i will give yall 87 points if yall answer

Answers

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

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

When the denominator of both fractions are the same, you can just calculate the numerators while leaving the denominator alone. In this case, 4-1=3 and the denominator is 5.

Answer:

3/5

Step-by-step explanation:

denominators must be the same. Then subtract how you would subtract positive numbers and keep the denominator the same

4 - 1 = 3

3/5

The tiger population was about 350 in 1975. Today that has decreased by about 35%. About how many tigers are there today?

Answers

Answer: $228

Step-by-step explanation:

every 2 weeks i get paid starting september 23 when is my next pay day

Answers

Answer: October 7

Step-by-step explanation:

if ∠n and ∠p are supplementary angles, m∠N=(x+3)° and m∠P=(7x-15)° ,find m∠P.

Answers

Answer:

132 degrees

Step-by-step explanation:

x+ 3+7x-15=180

8x -12 =180

8x = 168

x=21

7(21) -15

147-15

132

Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn?​ Write an equation and solve

Answers

Music us enjoy to --- and said aaaa

33)
Which sequence is arithmetic?
6)
A)
1,3,9,27

1,4,16,64,

C)1,4,9,16,

D)3,7.11.15

Answers

Answer:

Ima assume D

Step-by-step explanation:

because it is increasing at an constant amount which is by 4

It is D because it is increasing

Which one of these deals is the lowest price per ounce?
a) 5 ounces for $2.52
b) 7 ounces for $3.48
c) 8 ounces for $3.92

Answers

A is the answer j trust me

PLs help I can't stay too long my assignment is due in 20 min!
Divide. Write the quotient in lowest terms.
3/5 divided by 2 and 1/2

Answers

Answer:

Decimal: 0.24

Fraction: 6/25

What is the simplified expression of the following expression?
7
OA.
37 x 7
64 x 7
314
611
OB
OC.
37 + 7
64 + 7
OD
349
628
Reset
Submit

Answers

Answer:

2401

Step-by-step explanation:

its really long so i wont right it down

please help me, i’m struggling so bad, il mark you brainliest if you give me the answer

Answers

Answer:

210 squared inches, I think

Step-by-step explanation:

21 x 15 = 315 (area of original map)

315 x 2/3 = 210

You are correct I just did the mathematical

Help me solve asap!!

Answers

Answer:

2/16

Step-by-step explanation:

The answer is 2/16

brainliest?

How many solutions are there to this equation? 5x + 2-2(x - 1) = 3x + 4*
Ono solution
O exactly one solution
O at least two solutions
Oinfinitely many solutions

Answers

The equation 5x ₊ 2 ₋ 2(x₋1) = 3x ₊ 4 has infinitely many solutions. Examining our findings will allow us to determine which case it is. There are endless solutions if we end up with the identical term on both sides of the equal sign, such as 3 = 3 or 2x = 2x. There are no solutions if we end up with different integers on either side of the equal sign, as in 6 = 5.

Given the equation is 5x ₊ 2 ₋ 2(x₋1) = 3x ₊ 4

First apply the multiplicative distribution law.

5x ₊ 2 ₋ 2x ₊ 2 = 3x ₊ 4

now rearrange the unknown terms to the left side of the equation:

5x ₋ 2x ₋ 3x = 4 ₋ 2 ₋ 2

combine like terms.

0 = 4 ₋ 2 ₋ 2

0 = 0

we get the similar value on both sides of the equal sign, which indicates that the equation has infinitely many solutions.

hence the equation has infinitely many solutions.

Learn more about Linear equations here:

brainly.com/question/4074386

#SPJ9

PLZ HELP QUICKLY WORTH 35 POINTS NOT KIDDING AND WILL MARK BRANLIEST

A pair of equations is shown below:

y = 3x − 5
y = 6x − 8

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)

Answers

Answer:

Part A: You can solve this by elimination by first multiplying the first equation by -1 and then adding. This will cause the y value to cancel out.

-y = -3x + 5

y = 6x - 8

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

0 = 3x - 3

3 = 3x

1 = x

Now since we know that x = 1, we can plug it into either equation to find y.

y = 3x - 5

y = 3(1) - 5

y = 3 - 5

y = -2.

This gives us the ordered pair of (1,-2).

Step-by-step explanation:

Part B: If we graphed these two, they would intersect at (1, -2). This is because when you solve a system using any method, the result is the intersection of the lines. Therefore, you found where they would intersect in Part A.

Answer: im a cat boi, meow^^

Step-by-step explanation:

5. Terry descends 110 feet in 10 minutes inside a cave. What is Terry's change
in position before descending?

Answers

Answer:

The correct option would be D: -110 feet / 10 minutes

The endpoints of ab are a (-8,5) and b ( 0,7). find the coordinates of the midpoint M. The coordinates of the midpoint M are

Answers

Answer:

947

Step-by-step explanation:

can you help pls i rlly need help

Answers

For the first question the equation would be 200 + 50x

The second equation should be
200 + 50(1) = 250

Answer:

200+50x = first month

50x (x represents number of months)

First month is 200+5=$250

Step-by-step explanation:

The same business recently upgraded a display TV they had in their lobby.
Originally the TV was 32 inches (across the diagonal) and had an area of
446.38in? The new TV is 53 inches across the diagonal. What is the area of the
new TV? Round the answer to two decimal places.

Answers

Answer: 739.32in

Step-by-step explanation:

Since we are informed that originally the TV was 32 inches (across the diagonal) and had an area of

446.38in while thee new TV is 53 inches across the diagonal.

The area of the new TV would simply be calculated as:

= (53 × 446.38) /32

= 23658.14 / 32

= 739.32in

If Lauren reads for 30 minutes in 6 minutes in a 240 page novel,what is the constant of proportionally

Answers

Answer:

The Constant of Proportionality is 5 pages per minute.

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

Lauren reads 5 pages per minute.

Step-by-step explanation:

Just divide 30 by 6 to get your answer

3.5w + 4.2w + 1.5 + 9.6w - 8.8w

Answers

Answer:

8.5w + 1.5

Step-by-step explanation:

Combine like terms: 3.5w + 4.2w + 9.6w - 8.8w = 8.5wRe-write expression: 8.5w + 1.5

I hope this helps!

Answer:5-(17w+3)

—————————-

10

Step-by-step explanation: 1): "8.8" was replaced by "(88/10)". 5 more similar replacement(s)

STEP

1

:

44

Simplify ——

5

Equation at the end of step

1

:

35 42 15 96 44

((((——•w)+(——•w))+——)+(——•w))-(——•w)

10 10 10 10 5

STEP

2

:

48

Simplify ——

5

Equation at the end of step

2

:

35 42 15 48 44w

((((——•w)+(——•w))+——)+(——•w))-———

10 10 10 5 5

STEP

3

:

3

Simplify —

2

Other Questions
Mga Katangian ng epiko What group of modern countries are located in the land of Mesopotamia?Ecuador, Peru, and ChileVietnam, Laos, and CambodiaIran, Iraq, Jordan, Israel, Lebanon, and SyriaHonduras, Belize, Costa Rica, and Panama -2x^4-34x^3-140Factor it completly Which of the following is not a part of the SMART acronym? Question 5 options: Specific Measurable Respectable Time-bound truck has 5 crates of apples. Each crate has an equal number of apples. Altogether, the truck is carrying 5,460 apples. How many apples are in 4 crates? (2 steps) level blue match the meaning unit 12 answer HELP ...........................! ! 8 Luke has $1,000 to be distributed among two groups equally. Later,he first part is divided among five children. Write and evaluate anexpression to show how much each child recieves? Item 5 A bag contains 6 red marbles. The ratio of red marbles to blue marbles is 2 for every 5. Find the number of blue marbles in the bag. Item 5 A bag contains 6 red marbles. The ratio of red marbles to blue marbles is 2 for every 5. Find the number of blue marbles in the bag. Which type of molecule speeds up chemical reactions in living things?A: LipidB: Nucleic acidC: ProteinD: Water the entry to record depreciation includes a credit to the account. question content area bottom part 1 a. cash b. depreciation expense c. depreciation payable d. accumulated depreciation AC DF, mF = 40What is the mFEG?What is the mEGF?What is the mD?What is the mABE? what is the total number of atp produced from the complete breakdown of a single molecule of glucose What commonly influences consumers to buy a product? a) high supply and demandb) low supply and demandc) dissatisfied consumers d) advertising, peer pressure, and family pressure kenia spent 270$ on 6 chairs to find out how much she spent on each chair she did the following work in long division Which statement best describes the US government's role with the banking industry at the beginning of the Depression? Colette made a scale drawing of a house. The scale of the drawing was 7 centimeters = 2 meters. What is the scale factor of the drawing? organisms in the domain eukarya are composed of cells that have a cell in which the genetic material is housed. A headshake is often used to indicate negation but only when signing simple words.A. TrueB. Falsethis is for ASL. HELP!!! uQuestion 51 ptsMartin finds a shirt on sale for $18 at a department store. Martin must pay 8.5% salestax.How much does Martin pay in sales tax?How much does the shirt cost after taxes?