2) Ages of Workers Group 1 18 25 56 42 29 38 54 47 35 30 Ages of Workers Group 2 23 19 50 49 67 34 30 59 40 33 Ages of Workers Group 3 19 22 24 40 45 29 33 29 39 59 Ages of Workers Group 4 21 23 25 40 35 19 70 40 22 23 The ages of four groups of 10 workers at a factory are shown. Which group has the largest mean absolute deviation? A) Group 1 B) Group 2 C) Group 3 D) Group 4

Answers

Answer 1

Answer: B) Group 2

Step-by-step explanation:

Given the data:

Group 1 : 18 25 56 42 29 38 54 47 35 30

Group 2 : 23,19,50,49,67,34,30,59,40,33

Group 3 : 19,22,24,40,45,29,33,29,39,59

Group 4 : 21,23,25,40,35,19,70,40,22,23

The mean absolute deviation (MAD) :

Σ(x - m) / n

Where :

m = mean ; n = number of observations

Using calculator to save computation time :

GROUP 1:

m = 37.4 ; n = 10

Mean Absolute deviation = 10

GROUP 2:

m = 40.4 ; n = 10

Mean Absolute deviation = 12.68

GROUP 3:

m = 33.9 ; n = 10

Mean Absolute deviation = 9.48

GROUP 4:

m = 31. 8; n = 10

Mean Absolute deviation = 11.56

9.48 < 10 < 11.56 < 12.68

Group 3 < group 1 < group 4 < group 2

Group 2 has the highest mean absolute deviation with a value of 12.68

Answer 2

Answer:

group 4

Step-by-step explanation:

USA test preo


Related Questions

can anyone help ?????

Answers

4/10 because I said so

Find the equation that passes through points A and B

Answers

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]

[tex]\displaystyle m=\frac{-8}{-4}[/tex]

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

round off 0.02435 to three significant and add to 0.00732​

Answers

Answer:

0.03172

Step-by-step explanation:

Leading zeros (Zero before non-zero numbers) are not significant

0.02435 have 4 sigfig, round off to 0.0244, 3 sigfig

0.00732+0.0244 =0.03172

PLEASE ANSWER QUESTION ASAP BEFORE 6:30 p.m.
SHOW WORK PLEASE
WRITE IT ANSWER FRACTION PLEASE
As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of decrease of the value of the car?

P.S. This is a percent increase/decrrease
from: 9559
to: 8500

%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)

Answers

Answer:

11%

Step-by-step explanation:

$9559-$8500=1059

1059/9559= .110786

.110786 x 100= 11.0786%

11.0786%= 11%

What is the opposite of - 7/16

Answers

Answer: Positive 7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

because the opposite of a negative is a positive.

Write the equation of the line passing through a points A and B.

A(-4,3) and B(-3,9)

Answers

Answer: y=6x + 27

Step-by-step explanation:

Answer:

not sure yet. hold on. a second

I need help please anyone can help me !!!!

Answers

Answer:

5.15

Step-by-step explanation:

I hope this helps have a great day

how do i find the slope of a line graph

Answers

Answer:

rise over run

Step-by-step explanation:

you count the y axis from one point on a line to another then you count the x axis from the same two points and turn this into a fraction of y over x

y/x this is the slope

Please help me with this

Answers

Answer:

Step-by-step explanation:

The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.

The missing side is the hypotenuse

x + 2x + sqrt(x^2 + (2x)^2 ) = 28

3x + sqrt(x^2 + (2x)^2 ) = 28

sqrt(x^2 + (2x)^2 ) = 28 - 3x                 Square both sides

x^2 + 4x^2 = 784 - 168x + 9x^2

5x^2 = 784 - 168x + 9x^2

0 = 784 - 168x + 4x^2                         Use the quadratic formula to solve this. It does not factor.

x = 5.34

2x = 10.68

hypotenuse = sqrt (5*5.35^2)

hypotenuse = 5.35*sqrt(5)

hypotenuse = 11.96

=============

Shortest leg = 5.35

Other leg = 10.7

Hypotenuse = 11.96

Total = 28.01

So the answer is mathematically correct for the hypotenuse being the unknown.

#################################

If the leg is unknown, then I'll set up the equation and you can solve it.

x + sqrt(4x^2 - x^2) + 2x = 28             subtract x from both sides

sqrt(4x^2 - x^2) + 3x = 28                   Square both sides

sqrt(3x^2) = 28 - 3x                    

3x^2 = 784 - 168 + 9x^2

6x^2 - 168x + 784 = 0

x = 5.91

You can carry on from here.

Answer:

Step-by-step explanation:

Let's call the sides a,b,c

P=28 so

a+b+c=28

twice as long means a = 2b  substitute in equation above

2b+b+c=28

3b+c=28

but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse

Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c

a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²

4b² = b²+c² or c² = b²+ 4b²

3b² = c² or c² = 5b²

yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784

9b²-168b+784=3b² or 9b²-168b+784=5b²

6b²-168b+784=0 or 4b²-168b+784=0

and probably solve using quadratic equations


–5x+2 - 4; Prove: x = 6

Answers

Answer:

Step-by-step explanation:

-5x+2-4  if x =6

-5(6)+2-4

-30+2-4

-30-2

-32

B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry

Answers

Answer:

Required Answer:-

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

What is a triangle?

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

Learn more about triangles, Here:

https://brainly.com/question/2773823

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The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

F(x) = x^3 + x^2-5x-6 at x=2

Answers

Answer:

3^2+2^2-5×2-6

9+4-10-6

-3

Step-by-step explanation:

-3 is the answer

Answer:

It could be solved by filling in "x" as 2.

Step-by-step explanation:

F(x) = 2^3 + x^2 - 5(2) - 6

f(x) = 8 + 4 -10 - 6

f(x) = 12 -16

= -4

Hope this is easy enough to understand.

Anyone know the answer?

Answers

Answer:

skewed right

Step-by-step explanation:

It is skewed to the right.  There are 6 entries for 11. No other number comes close to the amount. 12 has 1 entry and 13 is the end of the graph. This definitely favors the right hand side.

You have 50 quarters. You find 20​% more quarters in your room. Then you go shopping and spend 25​% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping.​ Calculate, in​ dollars, the amount of money you have left.

Answers

Answer:

$11.25

Step-by-step explanation:

Which statement about the diagram are true? Select three options.
DE+EF> DF

Answers

Answer:

wheres the picture dude

Step-by-step explanation:

G
E
D
B
C
In the figure, angle I measures 56° and angle A measures 38°
The measurement of angle B is
The measurement of angle C is
The measurement of angle Fis

Answers

Answer: The measurement of angle B is 34. The measurement of angle C is 108. The measurement of angle F is 72.

Step-by-step explanation:

need help on this too ​

Answers

Answer:

I am pretty sure it’s either the first one or the last one

Step-by-step explanation:

Please help!!!

Explain and correct the error in this calculation.

Answers

Answer:

for more math help use the app called connects

Convert 150 degrees to radians

Answers

Answer:

it would be 5pi/6 radians

Step-by-step explanation:

Answer:

[tex]\frac{5\pi }{6\\}[/tex]

Step-by-step explanation:

to convert degrees to radians, use the equation [tex]\frac{\pi }{180\\}[/tex]. then simplify

150*[tex]\frac{\pi }{180\\}[/tex]=[tex]\frac{150\pi }{180\\\\}[/tex]=[tex]\frac{5\pi }{6\\}[/tex]

Find the area of the shape below.
16 cm
7 cm
7 cm
20 cm

Answers

Answer:

Area = 230 cm

Step-by-step explanation:

We can split this shape into different parts: a rectangle and a triangle (I attached an image below as a visual aid).

The area of a rectangle is given as:

[tex]Area = width * length[/tex]

and the area of a triangle is given as:

[tex]Area = \frac{1}{2} *base * height[/tex]

Let's first solve for the area of the rectangle. The width of the rectangle is 20cm, and the height of the rectangle is 7cm. So, the area is 7 × 20 = 140cm.

Now, let's solve for the area of the triangle. The base of the triangle is 20 cm, and the height of the rectangle is 16 - 7 = 9cm. So, the area is [tex]\frac{1}{2} * 20 * 9[/tex] = 90cm.

We add the two values together to get the combined area of the shape. 140 + 90 = 230 cm.

On the Cartesian plane, the midpoint between two points $A(a,b)$ and $B(c,d)$ is $M(m,n)$. If $A$ is moved vertically upwards 8 units and horizontally to the right 2 units, and $B$ is moved vertically downwards 2 units and horizontally to the left 10 units, then the new midpoint between $A$ and $B$ is $M'$. What is the distance between $M$ and $M'$?

Answers

Answer:

5

Step-by-step explanation:

The distance between M and M' is 5 units in the cartesian plane.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

The midpoint M of A(a,b) and B(c,d) is given by:

M(a+c/2, b+d/2)

After the two points are moved, the new coordinates are A'(a+2,b+8) and B'(c-10,d-2).

The new midpoint M' of A'(a+2,b+8) and B'(c-10,d-2) is given by:

M'(a+2+c-10/2 , b+8+d-2/2)

M'(a+c-8/2 , b+d+6/2)

To find the distance between M and M', we can use the distance formula:

d(M,M')=√((a+c)/2 - (a+c-8)/2)²+((b+d)/2-(b+d+6)/2)²

=√4²+(-3)²

=√16+9

=5 units

Hence, the distance between M and M' is 5 units.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ2

PLEASEE HELP ME PLEASE IT IS 30 POINTSS

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9^(x + 2) = 27
Can someone help solve

Answers

Answer:

x=-.5

Step-by-step explanation:

Paula bought a ski jacket on a sale for $7 less then half its original price. She paid $87 for the jacket. What was the original price?

Answers

Answer:

$188

Step-by-step explanation:

first you would do 87 + 7 which is 94

then multiply it by 2 which is 188

hope this helps :)

Answer:

The original price of the jacket was $188

Step-by-step explanation:

1/2x - 7 = 87

      +7     +7

1/2x = 94

x2       x2

x = 188

Jack drove 41 1/2 miles. He used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon ?

Answers

Answer:

How  do I have the same problem as a high schooler when im in 6th grade

Step-by-step ex

jsn=55

The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?

(−1, 1)
(1, −1)
(3, 2)
(2, 3)

Answers

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

Answer:

C.

✔(3, 2)

Step-by-step explanation:

E-2021

Which expression is equivalent to 4(x+12)

Answers

Answer:

4(x + 12) = 4x + 48

Step-by-step explanation:

Answer:

2(2x + 6)

Step-by-step explanation:

Perimeter of ABC is 67.
ADC is equilateral and ABC is isosceles. Angle CAB=60, ACB=60 and ACB=60. Find perimeter of triangle ADC.
(Triangle ADB intersects at an angle of 60 deg in triangle ABC.)​

Answers

Answer:

man can u send the pic of the diagram I will solve it

A meteorologist predicted 28 mm of rain on Friday. The actual amount of rain measures 35 mm. What's the percent error in the meteorologist's prediction? Help plz

Answers

Given:

Predicted value of rain = 28 mm

Actual amount of rain = 35 mm

To find:

The percent error.

Solution:

We know that,

[tex]\text{Percent error}=\dfrac{\text{Predicted value - Actual value}}{\text{Actual value}}\times 100[/tex]

On substituting the values, we get

[tex]\text{Percent error}=\dfrac{28-35}{35}\times 100[/tex]

[tex]\text{Percent error}=\dfrac{-7}{35}\times 100[/tex]

[tex]\text{Percent error}=\dfrac{-1}{5}\times 100[/tex]

[tex]\text{Percent error}=-20\%[/tex]

Therefore, the percent error is -20%.

Kevin wants to buy 2.5 pounds of chicken at $6.49 per pound. How
much will he pay?

Answers

Answer:

16.225

just times 2.5 times 6.49

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