8. What is the mean absolute deviation for the data set below? 23, 15, 15, 7 ​

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]

[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]

Using formula:

[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]

[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]

          [tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]

[tex]\to Sp = 4.0716[/tex]

Calculating the value of standard error:

[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]

          [tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]

Calculating the value of test statistic:

Formula:

[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]

      [tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]

Calculating the value of Degree of freedom:

[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]

Because the P-value is a 2-tailed test = 0.0018

Thus they reject H0, because of P-value < 0.05,

Yeah, certain data show clearly that the means are different.

Answer:

The distance between (5, -8) and (5,2) is: d = 10 units

Step-by-step explanation:

Note: I will solve the first question as the procedure solution for the remaining questions is exactly the same.

Given the points

Determining the distance between (5, -8) and (5,2)

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute (x₁, y₁) = (2, 3) and (x₂, y₂) = (2, -5)

   [tex]=\sqrt{\left(5-5\right)^2+\left(2-\left(-8\right)\right)^2}[/tex]

   [tex]=\sqrt{\left(5-5\right)^2+\left(2+8\right)^2}[/tex]

   [tex]=\sqrt{0+10^2}[/tex]

   [tex]=\sqrt{10^2}[/tex]

   [tex]=10[/tex]  units

Therefore, the distance between (5, -8) and (5,2) is: d = 10 units

Answer:

Step-by-step explanation:

Tan A = Sin A/Cos A

Cot A = Cos A / Sin A

Sin A*Cos A * tan A + Cos A * Sin A * Cot A

  [tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]

Answer:=25

Step-by-step explanation:

Answer:

2 is B

3 is C

and i'm pretty sure 4 is B

Step-by-step explanation:

the calculator says otherwise -.-

Thats the correct answer.

Answer:

I think x is 34.75.

Step-by-step explanation:

Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.

(4x-20)+61=180

4x+41=180

subtract 41 from both sides

4x=139

x=34.75

Answer:

c i believe

Step-by-step explanation:

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

Answer:

f(x)=16

Step-by-step explanation:

9514 1404 393

Answer:

  L = 5√10

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  (10√3)² = L² + (5√2)²

  300 = L² + 50 . . . . . . . . . evaluate the squares

  L² = 300 -50 = 250 . . . . subtract 50

  L = √250 = (√25)(√10) . . . . take the square root and factor for simplification

  L = 5√10

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Answer:

0,8022

Step-by-step explanation:

guess it helped

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall

Answer:

164 is less than the expectation

Step-by-step explanation:

Given

[tex]n = 480[/tex] --- Cars

[tex]p = 0.375[/tex] --- Probability of silver

Required

Determine if 164 is more or less than the expectation

First, we calculate the expected value (E(x))

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 480 * 0.375[/tex]

[tex]E(x) = 180[/tex]

The expected number of silver cars is 180.

Hence, 164 is less than the expectation.

Answer:

3/8ths cup

Step-by-step explanation:

take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

Learn more about Equations:

https://brainly.ph/question/4246696

#SPJ2

Answer:

592.83 ft^2

Step-by-step explanation:

First estimate the area of the rectangle:

Area rectangle = Base x Height = 20 * 36 = 720 ft^2

and then subtract from it the area of a semi-circle of radius 18/2 = 9 ft

Using the formula for the semicircle's area:

Semi-circle's area= pi * R^2 / 2 = 3.14 * 9^2 / 2 = 127.17 ft^2

Such gives us:

720 ft^2 - 127.17 ft^2 = 592.83 ft^2

Answer:

a. 76 b. 52

Step-by-step explanation:

The perimeter of a rectangle is the sum of its four sides.

Now all rectangles have a width and a length.

To find the perimeter it is 2 width + 2 length or 2W +2L.

So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L

Then...

2(76) + 2L = 344 multiply 2 and 76

2L + 152 = 344 subtract 152 from both sides

2L = 192 divide both sides by 2

L = 96

The length is 96.

The equation of an area of a rectangle is A or  area = width x length or W x L

So the equation is A = W x L

If the area is 4732 and the length is 91 then

91W = 4732 divide both sides by 91

W = 52

The width is 52.

Hope that helps, good luck with your homework!

Answer:

96

Step-by-step explanation:

3M=T

T-24=M+24

substitute for T in second equation

3M-24=M+24

solve for M

M=48/2; M=24

and T=72

together is 96

Answer:

A transformation is when the preimage of a shape is changed in size or shape into a new image

Step-by-step explanation:

Answer: A transformation is the process of manipulating an polygon or an two-dimensional shape or object on a coordinate plane.

Step-by-step explanation: I attached a image for you to see.

Answer:

A vacuum

Step-by-step explanation:

9514 1404 393

Answer:

  r ≈ 19.0

  s ≈ 17.7

Step-by-step explanation:

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

So, you have ...

  cos(43°) = r/26

  r = 26·cos(43°) ≈ 19.0

__

  sin(43°) = s/26

  s = 26·sin(43°) ≈ 17.7

Answer:

3V/pi r2=h

Step-by-step explanation:

pi is piπ

Answer:

x > -6.33

Step-by-step explanation:

-3x + 4 < 25

-3x + 4 - 4 < 25 - 4

-3x < 19

-3x/3 < 19/-3

x > -6.33

Answer:

x> -7

Step-by-step explanation:

Subtract 4 from both sides:

−3x+4−4<25−4

Simplify:

−3x<21

Multiply both sides by −1 (reverse the inequality)

(−3x)(−1)>21(−1)

Simplify again:

3x>−21

Divide both sides by 3

(3x/3) >(−21/3 )

Simplify again to get the result!

x > -7

Answer:

I love algebra

The ans is in the picture

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 2(-2x - 1) = 10

4x + 4x + 2 = 10

8x + 2 = 10

8x = 8

x= 1

y = -2(1) - 1

y = -2 - 1

y = -3

(1, -3)

Answer:

Y=1/2x

Step-by-step explanation:

the y intercept is 0 so we dont show it, and slope is rise over run, it goes up one unit every two times to the right

i hope this help!

Answer:

2x−y=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

sorry need the points

Answer:

not yet di ko po maintindihan

Step-by-step explanation:

sana po magets nyo po