The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness:
3 1 0 0 2 11 5 3

All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness:
3 6 8 4 4 5 3 1

a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean
b. Based on the sample data, which location has fewer lost days?
c. Based on the sample data, which location has less variation?

Answers

Answer 1

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])

where x = values of the set.

For Pawnee:

[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

[tex]mean^{2}[/tex]  = [tex]4.25^{2}[/tex] = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location


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Step-by-step explanation:

in 1 just put in

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Answer:

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Step-by-step explanation:

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lll

Step-by-step explanation:

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7. Triangle FIP was dilated by a scale factor of centered at the origin to
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Answer:

AB is parallel to A'B'.

DO,1/2 (1/2x, 1/2y) =

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Step-by-step explanation:

Write an equation for the line that passes through the points (0,6) and (3,0).

y=-23-6

y=-22-3

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y=-22-3

Answers

Answer:

y=-2x+6

Step-by-step explanation:

10 POINTS
Please help directions are at the top of the picture, please leave just a lil explanation also I’ll mark brainliest. :)

Answers

Answer:

C, F, D

Step-by-step explanation:

For each side of each triangle, think of the side as the hypotenuse of a right triangle. Then use the Pythagorean theorem to find the length of the hypotenuse, which is the side of the triangle.

Left problem:

From point C to point A, go 2 left and 7 up.

[tex] AC = \sqrt{2^2 + 7^2} = 7.3 [/tex]

From point A to point B, go 5 right and 1 down.

[tex] AB = \sqrt{5^2 + 1^2} = 5.1 [/tex]

From point B to point C, go 6 down and 3 left.

[tex] BC = \sqrt{6^2 + 3^2} = 6.7 [/tex]

Perimeter = 7.3 + 5.1 + 6.7 = 19.1

Do the same for the other triangles.

Middle problem:

From point F to point D, go 2 left and 7 up.

[tex] FD = \sqrt{2^2 + 7^2} = 7.3 [/tex]

From point D to point E, go 7 right and 2 down.

[tex] DE = \sqrt{7^2 + 2^2} = 7.3 [/tex]

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From point L to point J, go 7 left and 1 up.

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From point J to point K, go 4 up and 5 right.

[tex] JK = \sqrt{4^2 + 5^2} = 6.4 [/tex]

From point K to point L, go 2 right and 5 down.

[tex] KL = \sqrt{2^2 + 5^2} = 5.4 [/tex]

Perimeter = 7.1 + 6.4 + 5.4 = 18.9

Very Short Answer Questions
3. The total surface area of a cube is 1,944 sq cm. Find its side.
35 points and will be mark as brainlist​

Answers

[tex]\huge\bf\underline{Answer}[/tex]

Given :-

Total surface area of a cube = 1944cm²

To Find :-

Side of the cube

Formula :-

[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]

Where,

TSA = Total surface area of a cube

a = Side of a cube

Solution :-

Let the Side of a cube be 'x'

By substituting values according to the formula,

[tex]\sf{:⇒6(x) ^{2} } = 1944cm^{2} [/tex]

[tex]\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }[/tex]

[tex]\sf{:⇒ {x}^{2} = 324}[/tex]

[tex]\sf{:⇒x = \sqrt{324} }[/tex]

[tex]\sf{:⇒x = 18cm}[/tex]

Hence, The Side of a cube is 18cm

The snowy slopes ski resort kept track

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What I don’t understand what do u mean
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Answers

9514 1404 393

Answer:

7/53/10-13/4-27/10/1

Step-by-step explanation:

The mixed numbers can be expressed as improper fractions in the usual way. The integer portion can be expressed as a multiple of the fraction denominator divided by itself.

Integers can be expressed as a ratio with 1 as the denominator.

1 2/5 = (1×5/5) +2/5 = (5+2)/5 = 7/5

0.3 = three tenths = 3/10

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Answers

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Answers

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Answer:

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Step-by-step explanation:

Theresa's computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family's phones, tablets, and cloud storage? Type your answer in scientific notation. Her family's phones, tablets and cloud storage equal 9.6 gigabytes.​

Answers

Answer:

Hope this helps! ( if not then sorry)

In scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.

To calculate the additional storage in bits that Theresa's computer has compared to her family's phones, tablets, and cloud storage, we first need to convert the 1 terabyte to bits and the 9.6 gigabytes to bits.

1 terabyte = 1,000,000,000,000 bytes

1 byte = 8 bits

So, 1 terabyte = 8 × 1,000,000,000,000 bits

= 8,000,000,000,000 bits

9.6 gigabytes = 9.6 × 1,000,000,000 bytes

= 9,600,000,000 bytes

9.6 gigabytes = 8 × 9,600,000,000 bits

= 76,800,000,000 bits

Now, we can calculate the difference in bits:

Difference = Theresa's computer storage - Family's phones, tablets, and cloud storage

Difference = 8,000,000,000,000 bits - 76,800,000,000 bits

Difference = 7,923,200,000,000 bits

Difference = [tex]7.9232 \times 10^{12}[/tex]  bits.

Thus, in scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.

Learn more about the Scientific Notation here :

https://brainly.com/question/20533245

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If 5 people need 1,250 meters of cloth to
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meters of
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Answers

Answer:

3000m

Step-by-step explanation:

5 people need cloth=1250 m

1 people need cloth=1250/5

12 people need cloth=1250/5*12

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pls mark me as brainliest its nice


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Answers

Answer: ‭53,112,709‬ bags

Step-by-step explanation:

Three sugar factories produced 24,809,565 ,  18,738,576  and 9,564,568 bags of sugar respectively.

The total number of sugar bags produced in the country is their sum which is:

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Answers

Answer:

(A) 11.5 ounces

Step-by-step explanation:

Multiply 3.25 by 4

3.25 x 4 = 13

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24.5 - 13 = 11.5

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O A. 2X + 8x - 5
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Answers

Answer:

D. 10x - 5

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5x

g(x) = 3x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Simplify

f(x) = 7x

g(x) = 3x - 5

Step 3: Find

Substitute:                     (f + g)(x) = 7x + (3x - 5)Combine like terms:     (f + g)(x) = 10x - 5

CAN ANYONE HELP ME PLEASE!!!!!!

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Answers

Not sure if this helps

Find the missing value in the percent statement using a proportion.
______ is 75% of 4.

Answers

Answer: 3

Step-by-step explanation: Hope I helped

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Answers

yes it’s a function bc it is graphed with the x-axis

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D

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Help me plssssssssss

Answers

Answer:

The answers are as follows:

5. [tex]12+3 = 3+12[/tex]

7. [tex](6+4)+8 = 6+(4+8)[/tex]

9. [tex](10*5)*7 = 10*(5*7)[/tex]

Step-by-step explanation:

5. 12 and 3

Commutative property of addition states that the order of two numbers in addition doesn't matter; the result will be the same. If a and b are two numbers then the property will be:

a+b = b+a

For the given question, the commutative property will be:

[tex]12+3 = 3+12[/tex]

Associative property deals with three numbers or variables. It states that when 3 numbers are being added or multiplied their order doesn't affect the result.

It can be stated as:

(a+b)+c = a+(b+c)

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[tex](6+4)+8 = 6+(4+8)[/tex]

9. 10,5 and 7

[tex](10*5)*7 = 10*(5*7)[/tex]

Hence,

The answers are as follows:

5. [tex]12+3 = 3+12[/tex]

7. [tex](6+4)+8 = 6+(4+8)[/tex]

9. [tex](10*5)*7 = 10*(5*7)[/tex]

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
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Answers

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day. How many males say they use their phone less than
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Answers

Answer:

15 females say they use their phone less than an hour a day

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Find the degree measure of each angle in the triangle.
HURRY PLSSS

Answers

Answer:

[tex]for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\ \\ mZD=(3x + 38) \\ = (3 \times 7) + 38\\ mZD = 59° \\ \\ mZF=(4x+3)° \\ = (4 \times 7) + 3 \\ mZF = 31°[/tex]

What is the total amounted sap the tees produced that day

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Answer:

5 gallons

Step-by-step explanation:

i have done this lesson before

In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
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Answers

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Step-by-step explanation:

Lou buys 20 pounds of apples for $40. How many pounds can she buy for one dollar?

Answers

Answer:

She can buy 2 pounds per dollar.

Step-by-step explanation:

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(X+-2)(y+-4)
(X)(y)+(x)(-4)+(-2)(y)+(-2)(-4)
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In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A.
left
B.
down
C.
up
D.
right

Answers

Answer:

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A. left

B. down

C. up

D. right

Right is the right answer.

Answer:

Down

Step-by-step explanation:

I took the test and got it right

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