Work out the mean of these numbers:
root 27, root 48, root 75
give your answer in the form a root 3 where a is an integer

Answers

Answer 1

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Now mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]


Related Questions

PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =

Answers

Answer: D) 0

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule

f ' (x) = -8x^(-3) + (1/2)x

f ' (2) = -8(2)^(-3) + (1/2)*(2)

f ' (2) = 0

Finding the derivative, we have that f'(2) = 0, option D.

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

The derivative of an exponent is:

[tex](x^n)^{\prime} = nx^{n-1}[/tex]

Additionally, the sum of the derivatives is the derivative of the sum. The derivative of a constant is zero.

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

The function is:

[tex]f(x) = 4x^{-2} + \frac{x^2}{4} + 4[/tex]

The derivatives are:

[tex](4x^{-2})^{\prime} = -2 \times 4x^{-2 -1} = -8x^{-3}[/tex]

[tex](\frac{x^2}{4})^{\prime} = \frac{2x}{4}[/tex]

[tex](4)^{\prime} = 0[/tex]

Thus, the derivative of the function is:

[tex]f^{\prime}(x) = -8x^{-3} + \frac{2x}{4} = -\frac{8}{x^3} + \frac{2x}{4}[/tex]

At x = 2:

[tex]f^{\prime}(2) = -\frac{8}{2^3} + \frac{2(2)}{4} = -1 + 1 = 0[/tex]

Thus f'(2) = 0, option D.

A similar problem is given at https://brainly.com/question/10037173

You want to cover the tables with pumpkin paper. Each table is 3 1⁄2 feet by 6 feet. There are 4 tables. How much pumpkin paper will you need?


Please help.

Answers

Answer:

25

Step-by-step explanation:

multiply 3 1/2 by 6

add the answer 4 times

I THINK

Which measurement statement is correct 10 points

Answers

where are the statements

Gary has a strip of paper that is 1712 inches long. He will place a sticker on the paper every

114 inches.

How many stickers will Gary place on the strip of paper?

Answers

Answer:

15

Step-by-step explanation:

pls rate and thank me so i can get the points, thanks

Answer:

he can fit 15 stickers...............................

Step-by-step explanation:

what is an equation of the line that passes through the point (5, -7) and has a slope of 0

Answers

Answer:

y= -7

Step-by-step explanation:

A line that has a slope of zero is a horizontal line

Horizontal lines are of the form

y=

The y coordinate is -7

y= -7

Solve the equation below :

7 – 9x – 15 + 12x

Answers

Answer:

-8+3x

Step-by-step explanation:

7 – 9x – 15 + 12x

We cannot solve since there is no equals sign, we can only simplify

Combine like terms

7 -15   -9x+12x

-8          +3x

Answer:

3x - 8

Hope that was the answer you were looking for :D

the high road in scotland is 180 miles longer than the low road. when Jocelyn goes to scotland and returns along the low road the round trip is 1060 miles. how many miles is the high road

a.350
b. 440
c. 530
d. 620

Answers

Answer:

the aswer is 620(d)

Step-by-step explanation:

what i did was subtract 180 from 1060 and got 880

then i divides that by 2 and got 440

once i did that i then added the 18o to the 440 and got 620

Part A: Solve for A
Part B: Determine m∠ABQ
Part C: Determine m∠BCR
If there is work please show if you can​

Answers

Answer:

a=25

angle abq=139 degrees

bcr=41

Step-by-step explanation:

(2a-9)+(5a+14)=180

7a+5=180

7a=175

a=25

2(25)-9=41

180-41=139

angle abq=139 degrees

bcr=41

A polygon is shown



If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates

Answers

Answer:

A will be at -3.3 B will be at -4.1 C will be at 6.1 D will be at 1.3 hope this helps

-7x = 14
Determine whether the equations above has a one solution, no solution, or an infinite number of solution.

Answers

Answer:

x = 14/-7

x = -2

It has ONE SOLUTION

Given f(x) = 70 + 11x, find x when f(x) =158

Answers

Answer:

[tex] \huge \boxed{x = 8}[/tex]

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

[tex]70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88[/tex]

Divide both sides by 11

[tex] \frac{11x}{11} = \frac{88}{11} \\ [/tex]

We have the final answer as

x = 8

Hope this helps you

what is the answer for 6-7b+7bx3+b?

Answers

Answer:

=7bx3−6b+6

Step-by-step explanation:

6−7b+7bx3+b

=6+−7b+7bx3+b

=6+−7b+7bx3+b

=(7bx3)+(−7b+b)+(6)

=7bx3+−6b+6

Answer:43b

Step-by-step explanation:7+7 x3 +b = 43b

A balloon is measured at 45 feet above the ground. Two minutes later it is measured at 92 feet above the ground. By what percent has the height of the ballon changed?

Answers

So it was at 45%, and now it’s at 92%. So 92-45 equals 47, and so it changed by 47%. Hope this helps :)

Solve the inequality, write the solution in interval notation. Then graph it on a number line.
I need help :

Answers

Answer:

z < 4 or z > -6

Step-by-step explanation:

5z < 20

z < 4

or

z > -6

z < 4 or z > -6

Are the following equations perpendicular y-8=1/2(x+5) and y-
8=-1/2(x+5)? *

Answers

Answer:

Step-by-step explanation:

Yes

question in the picture:)

Answers

Answer:

$1.25

Step-by-step explanation:

10/8=1.25

Answer: $1.25

Step-by-step explanation: When you divide 10 by 8 you get and answer of 1.25. Or $1.25

In a video game Nutcracker Sweet, a squirrel finds a nut. When he cracks that nut, 4 more nuts come out. When he cracks those 4 nuts, 4 more nuts come out of each. If this process continues, how many nuts will there be after 5 of these nut-cracking sessions? (Cracked nuts are counted as a nut.)

Answers

Answer and  explanation:

4294967296 nuts

Please find attached

Answer:

127 nuts

Step-by-step explanation:

there is no explenation here... the answer is 127 nuts

Find the fifth term of the sequence
3, 5, 9, 17, _

(If you need help: The rule of the following sequence is k = 2n +1 )

Answers

Answer:

33

Step-by-step explanation: the number added itself gets multiplied by two. so 3+2 then 5+4 then 9+8 then 17+16

What is the equation of the line that passes through the point (-5, 1) and has a slope of-1/5​

Answers

Slope Intercept Form: y = mx + b

m = slope
b = y-intercept

y = -1/5 + 1

You get the y-int, 1, from the ordered pair (-5,1)

The 1 from

Answer: Y=1/5x-2

Step-by-step explanation:

PLEASE HELP ME!! URGENT!!WILL MARK BRAINLIEST

Answers

I think that’s it hope it helps

A trail mix has 16 cups of raisins, 3 cups of dates, 24 cups of peanuts, and 2 cups of cashews. Which
Ingredients are in the same ratlo as cashews to raisins?
The ratio that is the same is? to 2

Answers

Answer:

Step-by-step explanation:

The ratio for cashews to raisins is 2:16 and you can simplify that by 2 because they are factors of 2. When you simplify you get 1:8.

The ratio for dates to peanuts is 3:24 and you can simplify that by 3 since they are factors of 3. When you simplify by 3, you get 1:8 which is the same ratio for cashews to raisins.

Makensie bought 5.4 pounds of cashews for $18.62. Approximately how many pounds of cashews can Makensie purchase for $1?

Answers

Answer:

$4.00 per pound

Step-by-step explanation:

A grocery store sells cashew nuts at $8.00 per pound and peanuts at $4.00 per pound. They want to mix 10 pounds of the cashews with peanuts to create a mixture that will sell at $6.50 per pound

Part A: What is a statement in a two-column proof?

Answers

Answer:

the left column is the statement and Right column is the reason. The statement is the steps of how are you going to solve the problem

In geometry, two column proofs always have two columns- statements and reasons. In a two column proof you must have a reason for every statement

Which of the following is a plural subjective pronoun?
A. I
B. it
C. we
D. them

Answers

D is the correct answer

Answer:

D

Step-by-step explanation:

How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-8

Answers

-3(n+6)+10=-8

Use distributive property:

-3n -18 +10 = -8

Combine like terms:

-3n -8 = -8

Add 8 to both sides:

-3n = 0

Divide both sides by -3:

n = 0

Answer:

n=0

Step-by-step explanation:

what is the reduced ratio of 24:96

Answers

Answer:

Your answer: 24/96 = (24 ÷ 24)/(96 ÷ 24) = 1/4

Your answer is: 1:4

Step-by-step explanation:

Hope this helped : )

Answer:

1:4 is your ans

Step-by-step explanation:

please mark as brainliest

MATH HELP PLESE HELP ME

Answers

Answer: 99°

A supplementary angle is equal to 180°
The 81+99=180

Answer:

x=99

z=28

Step-by-step explanation:

180-81=99

81+3=84

84/3=28

Do you like me
What is formula

Answers

Answer:

what?

Step-by-step explanation:

Answer:

I am cunfushion

Step-by-step explanation:

Given A and B are vertical angles with m anglr A = 20x + 10 and m angle B =30x - 10 , what is X?

Answers

Answer: The answer is 2

Step-by-step explanation:

Given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2

From the Vertical angle theorems, we have that

Two opposite vertical angles formed when two lines intersect each other are always equal to each other.

Now, from the question, we are given that A and B are vertical angles

That means

A = B

Also, from the question

measure of angle A = 20x + 10 and measure of angle B = 30x - 10

To determine the value of x, we will equate the two equations to each other  

A = 20x + 10

B = 30x - 10

Since, A = B

20x + 10 = 30x - 10

To solve for x,

First, add 10 to both sides

20x + 10 + 10 = 30x - 10 +10

We get

20x + 20 = 30x

Now, subtract 20x from both sides

20x - 20x + 20 = 30x - 20x

20 = 10x

That is,

10x = 20

∴ x = 20 ÷ 10

x = 2

Hence, given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2

Learn more here: https://brainly.com/question/5719544

Need help asap thank u

Answers

Answer:

<4 ~= <5 - Consecutive Interior Angles Theorem

<4 ~= <2 - Vertical Angles Theorem

<6 ~= <2 - Corresponding Angles Theorem

line I || line m - Transitive Property

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