Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.

What is the largest possible number that she could choose as one of the seven numbers?

The largest possible number that she could choose as one of the seven numbers is _ _ because

Answers

Answer 1

Answer:

The largest possible number is 28.

Step-by-step explanation:

Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).

We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.

Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]

So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).

Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.


Related Questions

The Ipad that Ms. Hopham would like to buy for research is $1,299. This week it is on sale for $990, and the sales tax is 6%. How much will she have to pay in total?

Answers

Turn the percentage into a decimal.

6% = 0.06

Multiply.

990 * 0.06 = $54.9 (sales tax)

Add.

990 + 54.9 = $1,049.40 (total price)

Best of Luck!

What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?

Answers

Answer:

x=1

Step-by-step explanation:

just use this app called photomath its free on apple and gives you answers.

Answer:  x = 1

Step-by-step explanation:

–x + (–1) = 3x + (–5)

−x−1−3x=3x−5−3x

−4x−1=−5

Add 1 to both sides.

−4x−1+1=−5+1

−4x=−4

Divide both sides by -4.

x = 1

Hope this helps :)

A large brine tank containing a solution of salt and water is being diluted with fresh water. The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank, S(t) in grams per liter (g / 1) , is modeled by the following function S(t) = 500e ^ (- 0.25t) What will the concentration of salt be after 10 hours? Round your answerif necessary to the nearest hundredth

Answers

Answer:

41.04

Step-by-step explanation:

thats the answer on khan academy :3 i hope this helps

the concentration of salt be after 10 hours is 14.04 grams per liter

Given :

The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank is given by

[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}[/tex]

here 't' is the time taken . and S(t) is the concentration of salt.

We need to find the concentration of salt S(t) after 10 hours

So , we need to find S(10)

Replace 't'  with 10 in the given equation

[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}\\S(10)=500e^{^{\:}\left(-\:0.25\cdot 10\right)\:}\\S(10)=41.04[/tex]

the concentration of salt be after 10 hours is 14.04 grams per liter

Learn more : brainly.com/question/16415326

Helpppppp meeeee pleaseeeeee!!!!

Answers

Answer: 15

Step-by-step explanation:

Just count the dots :)

If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

Answers

Answer:

12

Step-by-step explanation:

If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

25 * 3 = 75

87 - 75 = 12

find the value of c that creates a perfect square trinomial

Answers

Answer:

C equals 64

Step-by-step explanation:

To find the missing value you have to take B divide it by two and then square it. So 16/2 ----> 8 ----->  8 squared =64. Hope this helped

A group of 3 adults and 10 children bought tickets to watch a dance
performance. Each adult ticket cost $7 more than each child ticket.
The group paid a total of $125. What was the cost of each child ticket?​

Answers

Answer:

6

Step-by-step explanation:

guess and check 6(10)+((6+7)5)=125

Convert 7/6 to a mixed number

Answers

7 out of 6 ymto a mixed number is

1¹/6

which explains how to find the radius of a circle whose equation is in the gorm x^2+y^2=z

Answers

if you could show us the picture then maybe i can help you

If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?

Answers

Answer:

Step-by-step explanation:

First, calculate the volume of the first cylinder

V= pi * r^2 * h

= pi * r^2 * 9 = 9 pi r^2

Volume of the second cylinder

V = pi * (2r)^2 * 9 = 36 pi r^2

the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4

The number of cylinders that can be filled is given by the equation A = 4

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the first cylinder be V₁

The radius of cylinder 1 = r

The height of the cylinder 1 = 9 inches

Let the volume of the second cylinder be V₂

The radius of cylinder 1 = 2r

The height of the cylinder 1 = 9 inches

Now , the volume of cylinder 1 is V₁ = πr²h

Substituting the values in the equation , we get

V₁ = 9πr²

Now , the volume of cylinder 2 is V₂ = πr²h

Substituting the values in the equation , we get

V₂ = 9π ( 2r )²

V₂ = 36πr²

And , the number of cylinders that can be filled is A = V₂ / V₁

On simplifying the equation , we get

The number of cylinders that can be filled is A = 36πr²/9πr²

The number of cylinders that can be filled is A = 4 cylinders

Hence , the number of cylinders is 4

To learn more about cylinders click :

https://brainly.com/question/16134180

#SPJ6

Question 24
1 pts
Points M(-2,3) and N(-4,-1) are plotted on a graph.
They are rotated 180 degrees about the origin, what are the new coordinates of M and N?
M(2,-3) and N(4,1)
M(4,1) and N(2,-3)
M(2.3) and N(4,-1)
OM(4-1) and N(2,3)

Answers

Answer: A   M (2,-3)  and N ( 4,1)

Step-by-step explanation:

(-2, 3)  after a 180 degrees rotation the coordinates will be in the fourth quadrant (2,-3)  and the y coordinate is always negative in the fourth quadrant.

(-4,1)  after a 180 degrees rotation  the coordinates will be in the first quadrant (4,1) and all the coordinates will be positive.

HELP ASAP PLS HELP PLSSSS

Answers

Answer 12.69

Step-by-step explanation:

Answer:

12.65 units

Step-by-step explanation:

I need help immediately with middle school

Answers

Answer:

5*7=35 square units

Step-by-step explanation:

area of parrelogram =B×h

plzz mark me brainliest

PLEASE HELP ASAP!!!! I’ll make you brainliest!!!
I need help with number 7!

Answers

Answer:

3/6

Step-by-step explanation:

7/14

Divide the top and bottom by 7

1/2

We are looking for something that equals 1/2

3/6

Divide the top and bottom by 3

1/2

Answer:

D: 3/6

Step-by-step explanation:

If you simplify 7/14 it becomes 1/2

and if you look at the choices 3/6 is the only number that is equal to 1/2

help me please I’ll give out brainliest

((Trigonometry))

Answers

Answer:

70.01 ft

Step-by-step explanation:

The angle of depression is 40°, which makes the angle formed by the ground and the line to the tower also 40°.

Since the side opposite of the 40° on the bottom is given, then you can use sine to find how far Ranger Bob is, since the line from him to the tower is the hypotenuse.

Let x = the hypotenuse

sin 40 = 45/x

x = 45/sin 40

x ≈ 70.01 (to the nearest hundredth)

Simplify 8^2/3 -√9×10^0+(1/144)^-1/2

Answers

Answer:

13

Step-by-step explanation:

We have the following expression:

[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]

If we do part by part, we have remains:

[tex]8^{\frac{2}{3} }[/tex] = 4

8 = 2^3

Therefore, the exponents 3 * 2/3 = 2 are multiplied

2^2 = 4

[tex]\sqrt{9}*10^{0}[/tex] = 3

We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3

[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12

When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.

So, we have:

4 - 3 + 12 = 13

[2x + 3y = 1][5x - 4y = 14]

Answers

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

4 inches 6 inches and 9 inches



v= in3

Answers

Answer:

what are you asking the total or what

Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?

Answers

she will need to find the perimeter of the wall and the perimeter is 150ft

Answer:Perimeter, 50ft

Step-by-step explanation:since it is around the answer is 50 ft

FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

fav singer??

I like XXXTentacion and Trippie Redd

Answers

Answer:

Samee

Step-by-step explanation:

Answer:

TIAGZ

and Billie Eilish

DABABY

Step-by-step explanation:

What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?

Answers

Answer:

The solution of the equation is 3.3 and (-0.3).

Step-by-step explanation:

We need to find the exact solution of the given quadratic equation [tex]x^2-3x-1=0[/tex].

If the quadratic equation is in the form of [tex]ax^2+bx+c=0[/tex], then the solution of this equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

On comparing the given equation with this above, it means, a = 1, b = -3 and c = -1.

So,

[tex]x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4\times 1\times (-1)} }{2\times 1}\\\\x=\dfrac{-(-3)+\sqrt{(-3)^{2}-4\times1\times(-1)}}{2\times1}, \dfrac{-(-3)-\sqrt{(-3)^{2}-4\times1\times(-1)}}{2\times1}\\\\x=3.3, -0.30[/tex]

So, the solution of the equation is 3.3 and (-0.3).

Answer:

1

-3

-1

Step-by-step

got it 100% correct

Whats the answer plz??

Answers

Answer:

C

Step-by-step explanation:

Absolute Value is the distance from 0, so when you have -|22| that means its the absolute value of 22 then add the negative sign so that means it's further from 0 than |-22|.

I hope this will help.

To divide two powers with the same base, (fill the blank)
the exponents.

Answers

To divide two powers with the same base, you subtract the exponents from each other’s

PLEASE HELP!
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.

Answers

Answer:

26

Step-by-step explanation:

5(7 − 4)^2 ÷ 3 + 11.

PEMDAS says parentheses first

5(3)^2 ÷ 3 + 11.

Then exponents

5 (9)÷ 3 + 11.

Multiply and divide from left to right

45 ÷ 3 + 11

15 +11

26

35-20x2divide3+11
15x2
30divide3=10
10+11=21

The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4

Answers

Answer:

-2

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

Approximate the real zeros of f(x)=x2+3x+1 to the nearest tenth.

Answers

I hope this helps you.

Answer:

A on Edg

Step-by-step explanation:

:)

What is the slope of the line

Answers

the slope of the line above is -2


What is the slope of the line shown below?

Answers

Answer:

2

Step-by-step explanation:

Slope is often called rise/run.

This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.  

Compare the two shown points.  From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3.  This is simplified to 2.

Answer:

C

Step-by-step explanation:

Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?

Answers

Answer:

Step-by-step explanation:

The compound amount formula for continuous compounding is

A = Pe^(rt), where P is the initial amount, r is the interest rate as a decimal fraction, and t is the time in years.  Here we have:

A = $11,000e^(0.048*17) = $24,875.80

Rounding this off to the nearest ten dollars, we get $24,880.

The amount of money that should be in the account after 17 years is $24,875.80.

Calculation of the amount of money:

Since Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. And, there is 17 years

So, the amount should be

A = $11,000e^(0.048*17)

= $24,875.80

= $24,880

hence, The amount of money that should be in the account after 17 years is $24,875.80.

Learn more about an amount here: https://brainly.com/question/14634922

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