The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?

A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6

Answers

Answer 1

The mean and mean absolute deviation of the given data are;

B. Mean: 72; mean absolute deviation: 2.

What is The Mean Absolute Deviation?

The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.

Given the data, 68, 70, 72, 73, 74, 75:

Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6

Mean = 72

Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6

Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6

Mean absolute deviation = 12/6

Mean absolute deviation = 2

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Related Questions

Find the 51st term of the arithmetic sequence 29,9, -11, ...

Answers

Answer:

Step-by-step explanation:

29-9=20

9-(-11)=20

50×-20=-1000

-1000+29=-971

Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2

Answers

Answer:

733

Step-by-step explanation:

18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2

18 - 9 + 9 × 81 - ( 10 ) ÷ 2

(18 - 9) + (9 × 81) (-10 ÷ 2)

9 + 729 - 5

738 - 5

733

I hope this helps!

PLEASE HELP WORTH 20 Point A is on line EB between points E and B, and ray A F forms adjacent angles EAF with a measure of 3x and FAB with a measure of 2x. Solve for x. X = 5° x = 18° x = 30° x = 36°

Answers

Answer:

x = 36

Step-by-step explanation:

Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x

Then x = 180/5 = 36

The measure of x for the given angles is 36° so option (D) will be correct.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The angle is the measurement of the angular distance.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.

Now,

∠EAB = 180°

∠EAF + ∠FAB = 180°

3x + 2x = 180

5x = 180

x = 36°

Hence "The measure of x for the given angles is 36°".

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CAN SOMEBODY HELP ME SOLVE THIS The diameter of a cylinder is 1 yd. The height is 12 yd. What is the volume of the cylinder

Answers

Answer:

7.21

Hope it helps!!!Brainliest pls!!!

Hello I need help on this math question​

Answers

Answer:

A. 904.32 ft cubed

Step-by-step explanation:

Write the name of the multiplication property that is being represented 8x(9-4) = (8x9)-(8x4) pleasee help

Answers

Answer:

The distributive property

Step-by-step explanation:

Select all the expressions that are equal to 12x + 36

12(x + 24)

x(12 + 36)

3(4x + 12)

4(3x + 9)

4(3x + 9x)

Answers

Answer:

The answer are

12(x + 24) ❌

x(12 + 36) ❌

3(4x + 12)

4(3x + 9)

4(3x + 9x) (Again?)

Step-by-step explanation:

12x + 36 equals 12(x + 3) (Keep that in mind)

12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌

x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌

3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct.

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅

Hope this helped! Keep strong and good luck! :)

Can you mark me brainliest? But wait! It's your choice. I don't have the right to brag. Have a nice day!! :D

Let me know if you want me to help you with anything else. I'll be happy enough to help you. :>

- ✨7272033Alt

m
A.
Which of the following equations is equivalent to p = + at?
a=t(p-on)
t=a(p)
B.
=
m
גנן
C.
1 =
p-at
D.
r
m =
p-at

Answers

Answer:

M Because the evolution of algebraic combinations is disordered and Fibonacci is wrong

What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)

Answers

Answer:

Proportional

Step-by-step explanation:

[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1

5 x 2 = 10

12 x 2=24

The ratios are proportional.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

Answer:

The given ratios are proportional

Step-by-step explanation:

To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

When using cross multiplication, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

When simplified, we get;

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

[tex]\implies 120 = 120 \ \checkmark[/tex]

Therefore, the relationship is proportional.

Please Help! Will Give Brainlest!

Answers

Answer:

height of tress is 20 feet

Step-by-step explanation:

because tan = perpendicular/ height

we see option only 20 feet satisfy it

Answer:

Option D :- 20 feet

Step-by-step explanation:

[tex] \sf \tan ( \theta) = \frac{height}{distance} [/tex]

[tex] \rightarrow \sf \: \tan (\theta) = \frac{20}{50} [/tex]

[tex] \sf \: height \: = 20 \: ft[/tex]

Write each expression without the absolute value symbol |3x+12|

Answers

Answer:

Step-by-step explanation:

|3x+12|

one is as it is                                     one is the negative value of it

3x + 12                                                   - (3x + 12)

                                                               - 3x - 12

That is because both negative and positive values put in am absolute value become positive.

The value of the absolute value function is given by the expressions A and B where A = 3x + 12 and B = - ( 3x + 12 )

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as M

Now , the value of M is

M = | 3x + 12 |  be equation (1)

The absolute value function is defined as

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

So , the two expressions are

A = 3x + 12 and

B = - ( 3x + 12 )

Hence , the absolute value functions are solved

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For what values of x will the function f(x) = 5x^2 + x - 6 equal zero?

A)x = -3 or 2

B)x=6/5 or -1

C)x = 3 or -2

D)x = -6/5 or 1

Answers

5x² + x - 6 = 0

Δ = 1² - 4*5*(-6) = 121 = 11²

x' = (-1 - 11) / (2x5) = -12/10 = - 6/5

x" = (-1 + 11) / (2x5) = 10/10 = 1

=> D

The values of x will the function [tex]f (x) = 5x^2 + x - 6[/tex] equal zero are x = - 6/5 and x = 1. Hence option D is true.

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Example; ax² + bx + c = 0

Given that the quadratic equation,

[tex]f (x) = 5x^2 + x - 6[/tex]

Now for the values of x at which the function equals zero, we have to find the zeroes of the function by using the factorization method.

[tex]f (x) = 5x^2 + x - 6[/tex]

[tex]f (x) = 5x^2 + (6 - 5)x - 6[/tex]

[tex]f (x) = 5x^2 + 6x - 5x - 6[/tex]

[tex]f (x) = x (5x + 6) - 1 (5x + 6)[/tex]

[tex]f (x) = (5x + 6) (x - 1)[/tex]

Hence, the value of zeroes,

[tex]5x + 6 = 0[/tex]

[tex]5x = - 6[/tex]

[tex]x = \dfrac{- 6}{5}[/tex]

And, [tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

So, the value of x is x = - 6/5 and x = 1. Hence option D is true.

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Can somebody please help this is due very soon

Answers

Your answer is

 Slope = -1.000/2.000 = -0.500x-intercept = 7/1 = 7.00000y-intercept = 7/2 = 3.50000

Step-by-step explanation:

Marvin's favorite hiking trail is 5. 91 miles long. If he has hiked it 8 times, how far has he hiked on this trail?

Answers

Answer: 47.28 miles

Step-by-step explanation: 5.91 times 8= 47.28

Solve: 2x + 3 = -1
Please help me on this question :)

Answers

Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.

What is an Equation?

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given the data in the question;

2x + 3 = -1Value of x = ?

2x + 3 = -1

First, we collect like terms.

2x = -1 - 3

2x = -4

divide both sides by 2
2x/2 = -4/2

x = -4/2

x = -2

Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.

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I need help I failing

Answers

Answer:

A and C

Step-by-step explanation:

Both A and C are the same shape, same size, but C is flipped over. If you were to cut out the two shapes and put them over one another, they would be the same. You can also count the blocks that are in the shape itself to see if they match.

The longer side on both has 2.5 blocks in it, the side is two blocks tall, and the smaller line has 1.5 of the block shown.

I'll will implement a sketch to show you what I mean and submit it here. Look at it if you are still confused

I hope this helps!

-No one

Reflect the shape A in the line
y=-1
.What are the coordinates of the vertices of the image?

Answers

Answer:

(3,-3) (5,-3) (3,-6)

Step-by-step explanation:

I hope this helps!!

HELP ASAP LAST QUESTION I PROMISE

Answers

Answer:

[tex]a=36\: \sf ms^{-2}[/tex]

Step-by-step explanation:

[tex]\textsf{Displacement}\:x=4t^3-27t+8[/tex]

[tex]\implies \textsf{Velocity}\:v=\dfrac{dx}{dt}=12t^2-27[/tex]

[tex]\implies \textsf{Acceleration}\:a=\dfrac{dv}{dt}=24t[/tex]

At the moment the direction of motion of P reverses, the velocity of P will be zero.   Therefore, find the value of t when v = 0:

[tex]\implies v=0[/tex]

[tex]\implies 12t^2-27=0[/tex]

[tex]\implies t^2=\dfrac{27}{12}=\dfrac94[/tex]

[tex]\implies t=\pm\sqrt{\dfrac94}=\pm\dfrac32[/tex]

As time is positive, P reverses when t = 3/2 s

To find acceleration at this time, simply substitute the found value of t into the equation for acceleration:

[tex]\implies a=24(\frac32)[/tex]

[tex]\implies a=36\: \sf ms^{-2}[/tex]

Help:
8. Multiply the following:
a. (x^3)(x^2) =
b.(x^7)(x^10) =
c. (3s^4)(-6s^5) =
d. (-20x)(3x) =

Answers

Answer:

below

Step-by-step explanation:

the law of indices:

a) x⁵

b) x¹⁷

c) -18s⁹

d) -60x²

36. Only 0.15 of the total number of vehicles in your school parking lot are
buses. What percent of the vehicles are buses?

10 points

Answers

0,15 = 15 : 10 = 15%

Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).

Answers

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

What is factored form?

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]

2. Taking as the common term

[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]

3. Taking y as the common term,

[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

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Geometry question pic Below




Arc JK = ______°
M<1 = ______°

Answers

Answer:

Step-by-step explanation:

Can someone answere this please

Answers

Answer:

90

Step-by-step explanation:

Number of boxes can be filled

= (60 x 50 x 30) ÷ (10x10x10)

= 90

Answer:

90

Step-by-step explanation:

P = L×W×H

=60×50×30

P= 90,000

P= L×W×H

=10×10×10

P=1,000

90,000 ÷ 1,000 = 90

So, 90 pieces of terry in one cartoon

I think it's help

A year has four seasons. What is the probability that a day chosen at random will be in the spring?

Answers

Answer:

1/4; 25%

Step-by-step explanation:

if a year has four seasons we can say that there are 4 possibilities

spring appears once

this means that the probability that a day chosen at random will be in spring would be 1 out of 4

or 25%

Is (3, 28) a solution to 4x-y=-16

Answers

Answer:

Yes

Step-by-step explanation:

4(3) - 28 = -16

12= -16 + 28

12 = 12

Hope that helps!

A roller coaster starts out at a height of 100 feet. It
then drops 43 feet, loops around, drops another 29
feet and finally increases 10 feet to the exit platform.
a. Write an expression to represent this.
b. Then determine the altitude of the exit platform.

Answers

Step-by-step explanation:

a) x = 100 - 43 - 29 + 10

b) 100 - 43 = 57.

57 - 29 = 28.

28 + 10 = 38.

38 feet.

solve 3x-1=5x+7

Please help

Answers

Answer:

[tex]3x - 1 = 5x + 7 \\ \\ 5x - 3x = 7 + 1 \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ x = 4[/tex]

# Jerry Don is here#

What is the length of the side of a square if it's area is 0.49 square units?

Answers

Answer:

a=0.7

A Area

0.49

Using the formula

A=a2

Solving fora

a=A=0.49=0.7

Is (1, 13) a solution to this system of equations?

y = 8x + 5
y = 13

Yes or No

Answers

Yes, that is a solution to the system.

Answer:

yes

Step-by-step explanation:

i hope this will help

A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. a rectangular prism is shown. the rectangle has sides lengths of 20 feet and 48 feet. the height of the prism is 10 feet. a smaller rectangular prism is cut out of the side. it has side lengths of 9 feet and 16 feet and a height of 10 feet. how many btus are needed to cool lucia’s apartment? 19,600 btus 19,800 btus 20,400 btus 24,000 btus

Answers

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

What is of volume of rectangular prism?

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

[tex]V=w\times h\times l[/tex]

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

[tex]V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3[/tex]

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

[tex]n=8160\times2.5\\n=20400\rm\; btus[/tex]

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.



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Answer:

20,400 BTUs

Step-by-step explanation:

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