The mean of ten numbers is 13. What eleventh number, if included with the original numbers, would result in a mean of 12?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

Answer 2

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Read more at; https://brainly.com/question/6995725


Related Questions

PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW

sorry if the pic is blurry if u can't tell what it says in the middle (where the line is) it says 4in and all the other numbers say 6in (there is 3 of them)

Answers

9514 1404 393

Answer:

  12 square inches

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...

  A = (1/2)(6 in)(4 in) = 12 in²

The area of the triangle is 12 square inches.

_____

Comment on the problem

Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)

The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.

Please help me please

Answers

Answer:

486 square inches

Step-by-step explanation:

The length, I, of your arm is usually about 3/8 of your height,
h. Which equation demonstrates this?

3/8h=l

3/8l=h

h=5/8l

l=8/3h

Answers

Answer:

l=8/3h equation demonstrates this

Pls help i'm lost il give brainly

Answers

Answer:

a= 16

b= -8

c= 6

d= -16

e= -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

A= 16 degrees

B= -8 degrees

C= 6 degrees

D= -16 degrees

E= -4 degrees

Help please question in picture

Answers

Answer:

220

Step-by-step explanation:

Area of square=8*20=160

Area of triangle=(6*20)/2=60

160+60

Answer:

220 units²

I'm sure this is the answer!

It is desired to check the calibration of a scale by weighing a standard 10-gram weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 10 and out of calibration if μ ≠ 10. A test is made of the hypotheses H0 : μ = 10 versus H1 : μ ≠ 10. Which of the three conclusions is best if H0 is rejected?

Answers

Complete question :

It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let µ be the population mean reading on the scale, so that the scale is in calibration if µ = 10. A test is made of the hypotheses H0:µ = 10 versus H1:µ ≠ 10. Consider three possible conclusions: (i) The scale is in calibration, (ii) The scale is out of calibration, (iii) The scale might be in calibration.

Which of the three conclusions is best ifH0 is rejected?

Answer:

The scale is out of calibration

Step-by-step explanation:

The null hypothesis ; H0

H0 : μ = 10 ; if this hold true, then the scale is in calibration

Alternative hypothesis ; H1

H1 : μ ≠ 10 ; if this holds true, then the scale is out of calibration

If the Null hypothesis, H0 is rejected, it means that, there is significant evidence to support the alternative hypothesis ; that the scale is out of calibration.

Hence, the best conclusion is that, the scale is out of calibration.

Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Sarah to end up with $410?

Answers

Answer:

4.2%

Step-by-step explanation:

the number value of 2 in the number 4256​

Answers

Answer:

200

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

The two is in the hundredths place

p=. RS. 200, R= 6%per six months. T= 3years​

Answers

Answer:

36

Step-by-step explanation:

200×3×6/100 =36.is the ans

1. Dylan invested $47,000 in an account paying an interest rate of 4% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $79,200?

2. x^2 + y^2 = 153 and y = -4x. If (x, y) is a solution to the system of equations above, what is the value of y^3?

Answers

Answer:

(1) 13.0 years

(2) [tex]y^{3} =[/tex] {-1728, 1728}

Step-by-step explanation:

(1)

Compound annually:

[tex]Pe^{rt}[/tex] = A

(47000)[tex]e^{(0.04)(t)}[/tex] = 79200

[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]

ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])

ln and e cancel out.

(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])

t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]

t = 13.0 years

(2)

[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]

Substitute y with -4x.

[tex]x^{2} + (-4x)^{2} = 153[/tex]

Solve for x.

x = {-3, 3}

Plug in x values into any equation to find y.

y = -4(-3) and y = -4(3)

y = {-12, 12}

[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728

[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728

Answer:

13.3    

Step-by-step explanation:

I got it right  

Solve x + 19 = 47.
Select one:

x = 893

x = 66

x = 28

x = 18

Answers

the answer is 28 hoped that helped

Answer:

x=28 (B)

Step-by-step explanation:

x = 28 (B)

You need to subtract 19 from both sides to get 28.

Define a variable, write an equation, and solve:

The length of a rectangle is 4 inches longer than the
width. The area is 60 square inches. What is the width
of the rectangle?

Answers

Answer:

6 inches

Step-by-step explanation:

area = l x w

area = 60

6 x 10 = 60

lenght: 10

width: 6

The width is 6 inches.

please help me someone i really need this to get my grade up :(

Answers

Answer: D

2 1/2 divided by 1/4 = 10

hope this gets ur grade up keep trying ur best!! :D

y = –3x + 7
y = 2x – 8

Answers

Answer:

Step-by-step explanation:

Using the comparison, substitution, and elimination method, the answer is:(x,y)=(3,-2)

When rewriting the equation the answer is:

3x+y=7

2x-y=8

Can someone help me with this
(show work)

Answers

Since each calculator is an x amount of money, you’ll have to divide by “x” or in this case, $31.25. Now, we know how much money they’ve spent, that being $500, so it makes things fairly simple,

500 / 31.25 = 16 calculators.

Leaving us with the answer being 16 calculators.

Answer:

16

Step-by-step explanation:

$500 ÷ $31.25 = the number of the calculator that the school bought

It is because each calculator cost RM31.25 and the school used $500 to buy plenty of number of them.

First you will examine how reflections affect the orientation and location of quaunder
Part A
Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x,y). Choose the x-axis, y-axis, y = x
and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs.)
B T U x X Font Sizes AA- :
E 2
Line of reflection Xy
X-axis
y-axis
-X
7:11 PM
4/19/2021
O
994
Type here to search

Answers

Answer:

x -y

-x y

y x

-y -x

Step-by-step explanation:

that's its

Please Help! SCAMMERS WILL BE REPORTED. Use Gauss-Jordan elimination to solve the following linear system
-4x + 4y + 5z = 9
-2x + 2y + z = 3
-4x + 5y = 4

Answers

Answer:

This is possible and the answer is (-1,0,1)

Step-by-step explanation:

It’s difficult to write out matrices here.

I apologize!

Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married.
Choose the best description.
a. All U.S. adults
b. The 1,501 U.S. adults referred to in this problem
c. The 1,126 U.S. adults referred to in this problem
d. All U.S. adults who believe it is more enjoyable to be married than single

Answers

Answer:

D. all U.S adults who believe it is more enjoyable to be married than single

Step-by-step explanation:

Sana nakatulong

wanna know if my answer is correct (C.) please help!!!!

Which of the following is the solution to the equation 2/3x = 12?

A. X= 4
B. X= 8
C. X = 18
D. X = 24​

Answers

Answer:

the correct answer is C

Step-by-step explanation:

Please can someone help me thank you

Answers

Answer:

(a) Rome= 11 degrees

Munich= 5 degrees

Difference = 11-5 = 6 degrees

(b)

Oslo= 2 degrees

At 6pm= 2+5= 7 degrees

A card is picked at random from a pack of 52 playing cards. The probability that it is a 6

Answers

Answer: 4/52 = 1/13

Step-by-step explanation: Every card in the deck has 4 suits which means that there will be 4 sixes in the deck so the probability will be any of the 4 out of the whole 52 or 1/13.

Brainliest plz


Please help me because I don’t know

Answers

Answer: The area of the triangle would be 256.

Explanation: You need to multiply both 16 and 16 together, which will then get your answer which is 256.☺️
divide 256 by 3. area of triangle = 1/3bh

What is the median of 8,9,10,1,6,4,7,6

Answers

Answer:

The median is 6.5

Step-by-step explanation:

To find the median, first organize the numbers from least to greatest:

1, 4, 6, 6, 7, 8, 9, 10

The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.

To solve for this, we have to find the average of the numbers.

Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).

(6 + 7)/2

13/2

6.5

Harry manages a sales force which sells several products in different sales territories. A random sample of 25 territories were selected and the data is provided in an Excel worksheet labelled Harrys. The variables include total sales credited to the sales representative (Sales), the length of time employed in months (time), the market potential (Poten), the advertising expense for the territory (AdvExp), the market share (Share), the change in market share over the previous three years (Change), the number accounts assigned to the sales representative (accounts), an index representing the workload (work), the rating on the last performance review (rating) and whether it is a star territory (star territories have performed well in the past).
Using the methods discussed in this class, determine the “best” regression model to predict Sales. Write a brief report (less than two pages) summarizing your analysis, including key statistical results, conclusions, and recommendations. Include any appropriate technical material in an appendix.

Answers

Answer:

13,000 i think

Step-by-step explanation:

In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?​

Answers

Answer:

Step-by-step explanation:

t is the number of years since 2003.

f(t) = $18,500×0.88^t

t = 2 in 2005

f(2) = $18,500×0.88²≅ $14,300

Answer:

$14300.00

Step-by-step explanation:

100 - 12 = 88%

88% = 0.88

$18500 x 0.88² = $14326.40

To the nearest hundread:

$14326.40 = $14300.00

0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.

Hope this helps!

A recipe for fruit punch uses 4 ounces of fruit mix to
make 6 glasses of punch. How many glasses of this
punch can be made from 26 ounces of fruit mix?
A) 24 B) 32 C) 36
D) 48

Answers

Answer:

39 glasses

Step-by-step explanation:

use proportion:

g = # glasses punch

4/6 = g/26

cross-multiply

4g = 26(6)

4g = 156

g = 39

A contractor is building a fence around a square garden that has a side length of 3 inches in a scale drawing. The scale factor of the drawing is 1 1/2 inches : 4 feet. If one link of fence measures 2 2/3 feet, shade the correct number of links needed to build a fence around the entire garden ​

Answers

The number of fences needed to build around the entire garden is 12.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Side of the square garden = 3 inches

Scale factor.

1(1/2) inches = 4 feet

3/2 inches = 4 feet

3 inches = 8 feet

Now,

Length of one fence.

= 2(2/3) feet

= 8/3 feet

Now,

The perimeter of the square.

= 4 side

= 4 x 3 inches

= 12 inches

= 4 x 8 feet

= 32 feet

Now,

The number of fences needed to build the fence around the garden.

= 32 ÷ 8/3

= 32 x 3/8

= 12 fences

Thus,

12 fences are needed to cover the entire garden.

Learn more about squares here:

https://brainly.com/question/22964077

#SPJ1

Pictures are in order !

Answers

Did you attach the photos because I don't see the picture???

what % of 4 is 7

i need this to be answered as quickly as possible please

Answers

Answer:

the answer

= 17.5

Step-by-step explanation:

https://www.percentagecal.com/answer/.7-is-what-percent-of-4#:~:text=Percentage%20Calculator%3A%20.,%3D%2017.5

Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1

Answers

The correct answer is D because a, b, and c all equal a negative which goes on the left side of 1 but d is the only one that equals a positive number which goes on the right side of 1. Hope this helps !!!!
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