What is the mean absolute deviation of the data set {30,33,36,34,52}?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

I took the test and got 100%

I hope i helped and that i get brainliest :P

Answer 2

Answer:

Step-by-step explanation:

1)To find the mean absolute deviation of the data, start by finding the mean of the data set.

2)Find the sum of the data values, and divide the sum by the number of data values.

3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4)Find the sum of the absolute values of the differences.

5)Divide the sum of the absolute values of the differences by the number of data values.


Related Questions

1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:

check my work please! it’s number 1 :)

Answers

Answer:

Yes you are correct.

Step-by-step explanation:

The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!

The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!

Answers

Answer:

Step-by-step explanation:

as the non parallel sides are equal and it is a trapezoid.∴ base angles are equal.each base angle=1/2×140=70°let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.[tex]\frac{x}{7}=cos ~70\\x=7 \times cos~70 \approx 2.394\\2x \approx 4.788 \approx 4.79\\[/tex]shorter side=22-4.79=17.21 ftto find diagonal use cos formula[tex]cos ~70=\frac{22^2+7^2-d^2}{2*22*7} \\308 cos~70=484+49-d^2\\d=\sqrt{533-308~cos~70} \approx~20.68\\where ~d~is~diagonal.[/tex]d=20.68 ft

a. The length of the diagonal is approximately 15.74 feet.

b. The length of the shorter base is approximately 27.77 feet.

a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:

h = (7/2) * tan(140°)

h ≈ (7/2) * (-1.376381920471173)

h ≈ -4.796335681196056

Now, substitute the values into the formula for the diagonal:

[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]

Therefore, the length of the diagonal is approximately 15.74 feet.

b. To find the length of the shorter base (b), we can use the given information and the law of cosines:

[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]

Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).

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lauren sold 140 boxes of cookies. 60% of the boxes she sold were to people her dad works with. of these boxes 1/4 contained mint cookies. how many boxes of mint cookies did Lauren sell to people her dad worked with?​

Answers

Hey there! I'm happy to help!

First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).

0.6×140=84

We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!

0.25×84=21

Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.

Have a wonderful day! :D

Answer:

The answer is C) 21

Step-by-step explanation:

I'm right, trust me :)

30 points will give brainliest to whoever gets it right

Answers

Answer:

8(.5)^x

Step-by-step explanation:

This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^x
Yep the other person got it right

Write the equations after translating the graph of y = | 1 /2 x−2|+3 one unit down,

Answers

Answer:

[tex]y=|\frac{1}{2} x-2|+2[/tex]

Step-by-step explanation:

If your original function is:

[tex]y=|\frac{1}{2} x-2|+3[/tex]

the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:

[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]

The answer would be Y=1/2x-2 +2
Have a nice day

Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x + 3 y = 27. 5 x + 2 y = 21. Which variable should he choose so that he can use substitution to solve the system?

Answers

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

To learn more about the linear system of an equations visit:

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Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1?
Select one:
O a. y = -2x + 8
O b. 6x - 3y = 9
O c. 2x + 4y = -1

Answers

Answer:

C

Step-by-step explanation:

2 is the opposite of -1/2, so reciprocals line up for perpendicularity

The answer is C:2x+4y=-1

What is a Stem-and-Leaf plot?
4-5 sentences.

Answers

Answer:

A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

Step-by-step explanation:

Example: Long Jump

Sam got his friends to do a long jump and got these results:

long jump

2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0

And here is the stem-and-leaf plot:

Stem Leaf

2 3 5 5 7 8

3 2 6 6

4 5

5 0

Stem "2" Leaf "3" means 2.3

Note:

Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)

In this case each leaf is a decimal

It is OK to repeat a leaf value

5.0 has a leaf of "0"

If one factor of 6.x2 + 5x – 6 is
3.x - 2, the other factor is
A.
3.x + 3
B. 6x + 3
C. 2x + 3
D. 2.x - 3

Answers

C. 2x + 3

You have many ways to solve this!
You could...

A) multiply all the answer choices by 3x-2 and see what matches

B) Factor the trinomial

C) Divide the trinomial by the binomial using long division
c is would be your answer

If the rectangle below is enlarged by a scale factor of 1.8, what will be the perimeter of the new rectangle? 39.4 units 43.2 units 45.6 units 48.2 units

Answers

Answer:

43.2 units

Step-by-step explanation:

On this problem you would just find the perimeter which is 2(l+w) and that is 24 units and after you do that you would just have to multiply the perimeter 24 times 1.8 which would leave you with and answer of 43.2 units.

Answer:

New length = 3.5 x 8 = 28 cm

New width = 3.5 x 6 = 21 cm

Step-by-step explanation:

Perimeter = 2(28) + 2(21) = 56 + 42 = 98 cm

Area = 28 x 21 = 588 square cm

WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.

Answers

Answer:

Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.

Step-by-step explanation:

Match each statement (term) with its value in relation to 0 (definition). Match Term Definition

Answers

Answer:

Step-by-step explanation:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Answer:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Step-by-step explanation:

i need help plz help

Answers

Answer:

B. 70%

Step-by-step explanation:

7/10 of the numbers are more than 5

7/10= 70%

Answer:

Option B

Step-by-step explanation:

This is a nice and simple question. Here we can assume that next year, will be somewhat related to this graph - so this is only the theoretical probability. Therefore, if we can calculate the probability with which there are more than 5 inches of rain, it will apply to the next year as well.

____________

Taking a look at the graph, we see that 7 out of the 10 years given to us are greater than 5 inches of rainfall. Therefore, the probability that there will be more than 5 inches of rainfall next year should be 7 / 10 ( 7 years / 10 years ), and 7 / 10 with respect to percent would be 70%. Your solution is the second option.

simplify the expression
[tex]8p + 10 + - 2p - 1 + 10[/tex]

Answers

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Match the number with its opposite.

Answers

Answer:

3.2 matches with (A) -3.3

-2.3 matches with (C) 2.3

-1.5 matches with (B) 1.5

5.1 matches with (D) -5.1

3.2 matches with -3.2,-2.3 matches with 2.3, -1.5 matches with 1.5 and 5.1 matches with -5.1.

The gradient at any point on the curve y=f(x) is given by the equation dy/dx=1/✓x-2.The curve passes through the point (2,3).Find the equation of this curve.​

Answers

Answer:

y = -1.71x + 6.42

Step-by-step explanation:

The gradient at any point on the curve is given by the expression;

[tex]\frac{dy}{dx} = \frac{1}{\sqrt{x } - 2} \\[/tex]

At the point (2,3), the gradient of the curve will be:

[tex]\frac{dy}{dx}|(x = 2) = \frac{1}{\sqrt{ 2}-2 } \\\\\frac{dy}{dx}|(x = 2) = m = - 1.71[/tex]

The equation of this curve at this point can be given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Where [tex]x_1 =2, y_1 = 3[/tex]

Substituting these values into the given equation:

[tex]y - 3 = -1.71(x-2)\\y - 3 = -1.71x + 3.42\\y = -1.71x + 3.42 + 3\\y = -1.71x + 6.42[/tex]

What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.

Answers

Answer:

18

Step-by-step explanation:

to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180

then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18

hope it helped :)

QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.

Answers

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?

15 POINTS!!!!!!!! How is a linear function affected when a constant is multiplied by x?

Answers

Answer:

The Y-intercept changes .

Step-by-step explanation:

Answer:

The y-intercept changes

Step-by-step explanation:

FIRST GETS BRAINLLEST HURRYYYY Jon spins the spinner below 200 times. Predict how many times the spinner landed on blue.

Answers

Answer:

1/2

Step-by-step explanation:

There are four spots in total in the circle. Two of them are blue. Therefore, the probability of it lading on blue is 2/4, which simplifies to 1/2. Hope this helped.

If Jon spins the spinner 200 times, it will land on the blue about 100 times. This is because of all the colors on the circle, blue takes up half of the circle. Whereas other colors only take up a quarter. 200/2=100!

Need help combining like terms!! PLS

Answers

Answer:

1 - 9/7n

Explanation:

1/7 - 3(3/7n - 2/7)

distribute the 3 with the 2 fractions inside the parenthesis

1/7 - 9/7n + 6/7

add like terms (1/7 + 6/7)

7/7 - 9/7n

or

1 - 9/7n

Answer:

1 -9 sevenths n

step-by-step explanation:

Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please

Answers

Answer:

C: 13/32

Step-by-step explanation:

Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer

Answer:

13/32 left over.

Step-by-step explanation:

First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.

To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!

Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!

Please help me with this question

Answers

Answer:

49π

Step-by-step explanation:

Circle area: πr^2

Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.

Since we know the radius, we can put it in the formula, πr^2.

We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.

Solve the following equations and inequalities showing all work.
18.1/2(x - 5) + 1 = 2x +4
19.3-x>-3
20. - x = 12
21. -2 = 8
22. –1 + 3 = 3 +
5
23.4 - (5x + 6) = 18 - 3x
24.-6x + 24 = 4x - 15(x-3)
25.4(x – 3) 12 =(x-3)
26. (15x 2) (-2) = x + 4

Answers

Answer:

See the answers in the pics

Step-by-step explanation:

Srry, I didn't quite understood the last two equations

but I hope that from now on you will know how to solve equations and inequalities like this ;]

Answer:

LLLLLLLLLLLLLl

Step-by-step explanation:

5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.

( i ) Find the bonus amount received by each employee.

(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?

(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?

Answers

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

Does anyone know this one! Thanks

Answers

Answer: 22.4 cm!

Step-by-step explanation:

If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!

Write the other side of this equation so it's true for no values of x;

1/2(6x-10)-x =

Answers

Answer:

1/2(6x-10)-x = 2x +3

Step-by-step explanation:

1/2(6x-10)-x =

Distribute

3x -5 -x

2x -5

We need to other side to be of the form 2x - constant where the constant is not equal to 5

2x-5 = 2x+3

Subtract 2x from each side

-5 =3

This is not  true so there is no solution

There cant be a solution to find x.

Find Missing Side
Instructions: Find the missing side. Round your answer to the nearest tenth.
help plz​

Answers

Answer:

8.5 units

Step-by-step explanation:

x is the adjacent side, the side that's 19 units is the opposite side.

Given the adj and the opp sides, use tangent.

tanθ= opp/adj

tan 66°= 19/ x

x(tan66°)= 19

x= 19/(tan 66°)

x= 8.5 units (nearest tenth)

What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?

Answers

Answer

the third(5/2)

Step-by-step explanation:

[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]

=[(5^3)*(2^2)]/[(2^3)*(5^2)]

=[5^(3-2)]*[2^(2-3)]

=5*(1/2)

=5/2 or 2.5

Answer:

5/2

Step-by-step explanation:

Hope it helps!!

Btw it was right on the test!!

Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT

Answers

Answer:

y = 3x -2

Step-by-step explanation:

y intercept means the point x = 0

need not be confused in that

we can get the two coordinates as

( 2, -4) and ( 0, -2)

gradient is difference of y/ difference of x

-2+-4/0-2

-6/-2 indeed its 3

so as y intercept is -2

c = -2

y = 3x - 2

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