compare the two groups of data. which statement is true?

Compare The Two Groups Of Data. Which Statement Is True?

Answers

Answer 1

Answer:

a) both have the same spread

Step-by-step explanation:

Mean of Brand A > Mean of Brand B

Median of A > Median of B

Spread of:

A: 22 - 18 = 4

B: 18 - 14 = 4

Answer 2

The spread of the data which is obtained by calculating the Interquartile range of each distribution since the distributions are skewed is 2 for brand A and brand B. Hence, the spread is the same.

The distribution of BRAND A chips :

18, 19, 19, 19, 19, 19, 19, 20,20,20,20,20,20,21,21,21,21,21,21,22

The Upper quartile, Q3 ;

Q3 = 0.75 × (n + 1)th term

Q3 = 0.75 × 21 = 15.75 th term = 21

The Lower quartile, Q1 ;

Q1 = 0.25 × (n + 1)th term

Q1 = 0.25 × 21 = 5.25 th term = 19

The IQR = Q3 - Q1 = (21 - 19) = 2

The distribution of BRAND B chips :

14,14,14,14,14,14,14,14,15,15,15,15,15,15,16,16,16,16,16,18

The Upper quartile, Q3 ;

Q3 = 0.75 × (n + 1)th term

Q3 = 0.75 × 21 = 15.75 th term = 16

The Lower quartile, Q1 ;

Q1 = 0.25 × (n + 1)th term

Q1 = 0.25 × 21 = 5.25 th term = 14

The IQR = Q3 - Q1 = (16 - 14) = 2

Therefore, the spread of distribution of BRAND A and B are the same.

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Related Questions

HELPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
IF THEY ARE CORRECT ANSWERS I WILL MARK BRAINLIEST
2.094 2.702 which is greater than
2.75 2.6 which is greater than
8.235 8.1 which is greater than
21.337 21.31 which is greater than

Answers

Answer:

1- is 2.702

2- is 2.75

3- 8.235

4- 21.337

Step-by-step explanation:

Final answer:

The question involves comparing decimal numbers. The larger numbers for the pairs given are 2.702, 2.75, 8.235 and 21.337 respectively. The rule for comparing decimals is to start from the left and compare digits in the same position.

Explanation:

The question asks to identify which of the two numbers for each pair is larger. It's clear this involves a basic understanding of comparing decimals, which is a key skill in mathematics.

Between 2.094 and 2.702, 2.702 is greater.Between 2.75 and 2.6, 2.75 is greater.Between 8.235 and 8.1, 8.235 is greater.

  Between 21.337 and 21.31, 21.337 is greater.  

The rule for comparing decimals is to start from the left and compare digits in the same position. This way, you can identify which number is larger or smaller.

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the figure is the net for a rectangular prism. what is the surface area of the rectangular prism represented by the net? enter your answer in the box.

Answers

Answer:

544

Step-by-step explanation:

Anderson’s Nursery was choosing between two different greenhouses.

2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.


Which statements are true about the greenhouses? Select two options.

The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.

Answers

Answer:

B and C

Step-by-step explanation:

Hope this helps!

Doing this question now! :)

Applying the appropriate volume formula for the square pyramid and prism, the statements that are true are: B and E.

What is the Volume of Square Pyramid?

Volume = 1/3(a²)h

What is the Volume of a Triangular Prism?

Volume = 1/2(a)(b)(h)

What is the Volume of a Rectangular Prism?

Volume = lbh

Space inside Greenhouse 1 = volume of rectangular prism + volume of square pyramid = lbh + 1/3(a²)h

= (12)(12)(10)  + 1/3(12)(12)8

= 1,824 m³

Space inside Greenhouse 2 = volume of rectangular prism + volume of triangular prism = lbh + 1/2(a)(b)(h)

= (12)(12)(10) + 1/2(12)(8)(12)

= 2,016 m³

Space inside Greenhouse 2 - Greenhouse 1 = 192 m³

The true statements are B and E.

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Terrance has $54.29 in his checking account. He needs to purchase a football uniform for $56.50. Should Terrence use his debit card or his credit card? Explain your reas

Answers

Answer:

credit because you can pay at the end of the month

i had this question before

if i can get brainliest that would be great

(SAT Prep) In the figure, what is the length of BC?
A. 25
B. 15
C. 18
D. 22

Answers

Answer:

I got 18 as my answer

Step-by-step explanation:

I made a triangle with the right side by dropping a vertical. Lets call the point straight down from C, E

Then I found the angle of D

sin θ = 5/13

θ = sin-¹(5/13)

θ≅22.619°

Then I found length of DE by

cosθ (remember we know what theta is) = X/13

12cosθ = X

X = 12

The length of DE is 12.

Since AD is 30, and the left side has two right angles we can do

AD - DE to find BC.

30-12 is 18

The length of BC is C. 18.

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a trapezoid.

First draw a perpendicular line from C to the segment AD.

Mark the intersecting point of line and AD by P.

We know that,

CP = BA = 5

Using Pythagoras theorem,

PD = √(13² - 5²) = √(169 - 25) = √144 = 12

Now, AP + PD = AD

AP = AD - PD

     = 30 - 12

     = 18

Now, BC = AP = 18.

Hence the length of BC is 18.

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Cait purchases a $20 item at a store. She uses a coupon to receive a 15% discount, and she pays a 6% sales tax on

the item. She calculates the total cost, in dollars, of the item using the expression shown.

en este

personen

in om

die pan en

Cait's Expression

(1.15)(1.06)(20)

A. Describe the error in the expression Cait used for her calculation.

B. Show or explain how you would calculate the total cost of Cait's purchase.

Type your answers in the space provided.

Answers

Answer:

A. Cait treated the discount as an increase

B.  (20) (1.06) (0.85)

Step-by-step explanation:

Hi, Cait treated the discount as an increase.

Cait multiplied the price (20) by the tax percentage (increase) 1.06  

Since the sale tax increase is 6% and it is added to the price we have to express it in decimal form (6/100=0.06) and add it to 1.

20 (1 +0.06) = 20 (1.06)

The coupon discount is subtracted to the price. So, the correct form is:

15/100= 0.15

20 (1-0.15) = 20 (0.85)  

Instead of this, Cait expressed the percent discount as a percent increase .

20 (1+0.15) = 20 (1.15)

The correct form is (20) (1.06) (0.85)

What is 3a2 + a2 added to a + 6?


Answers

The addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2 + a +6.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We have to find when 3a^2 + a^2 added to a + 6.

3a^2 + a^2 + a +6

This cannot be added further because they do not have any like terms.

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

Those terms which have same variables raised with same power are like terms.

For example, 5t^3 and 6t^3 are like terms since variable is same, and it is raised to same power 3.

Thus, the addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2+ a +6

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[tex]4a^2 + a + 6[/tex] is the final expression represents the sum of the given terms.

To add the expressions 3a2 + a2 to a + 6, follow these steps:

Identify and group the like terms:3a2 + a2 for the squared termsa for the linear term6 for the constant termCombine the like terms:3a2 + a2 = 4a2Write down the final expression after addition:4a2 + a + 6

Thus, the result of adding the given expressions is[tex]4a^2 + a + 6.[/tex]

y = 2×2square+ 4× - 2 value

Answers

Answer:

y=2(2x+3)

Step-by-step explanation:

y=2*2^2+4x-2

y=8+4x-2

y=4x+6

y=2(2x+3)

A rectangular prism with a volume of 444 cubic units is filled with cubes with side lengths of \dfrac13

3

1



start fraction, 1, divided by, 3, end fraction unit.

How many \dfrac13

3

1



start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?

Answers

Answer:

108 cubes

Step-by-step explanation:

Lengths of one of the cube s=[tex]\dfrac{1}{3}[/tex]

Volume of a Cube  [tex]=s^3[/tex]

Volume of one of the Cubes [tex]=(\dfrac{1}{3})^3=\dfrac{1}{27}[/tex]

The volume of the rectangular prism is 4 cubic units.

Therefore, to find the number of cubes it takes to fill the prism, we divide the volume of the prism by the volume of the cube.

[tex]\text{Volume of Prism/Volume of Cube}=4 \div \dfrac{1}{27}\\=4 X 27 \\=108[/tex]

It takes 108 cubes to fill the rectangular prism.

Answer:

108

Step-by-step explanation:

someone help please!!

Answers

9) 3/10
10) 0
11) 2/5
12) 4/5

Answer:

9. 0.3

10. 0.0

11. 0.4

12. 0.3

Step-by-step explanation:

I am not 100% sure about this, but this is what I could come up with.


IN UNIT TEST!
Rectangle PQRS is rotated 90° counterclockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).

What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)

Answers

Answer:

(-3, 5)

Step-by-step explanation:

im assuming the orginal point q is (5, 3)

Based on the given scenario above, the coordinates of point Q  is known to be (-3, 5).

What is the points about?

Note that if a point P(x, y) is rotated 90° counterclockwise around the origin, one has to flip x and y and reverse the sign of y.

So, The rule to rotate a point P(x, y)  after a rotation 90° counterclockwise around the origin is said to be:

P(x, y) = P'(-y, x)

In this question, rectangle PQRS is rotated 90° counterclockwise about the origin.

The rectangle is said to have the coordinates:

P(2, 3)

Q(5, 3)

R(5, 1)

S(2, 1)

Therefore we look for the coordinates of the point Q’.

By using the rule to rotate a point P(x, y)  after a rotation 90° counterclockwise around the origin, then:

P(x, y) = P'(-y, x)

Therefore, coordinates of the point Q’ will be:

Q(5, 3)  = Q'(-3, 5)

Therefore, the coordinates of point Q' is:  Q'(-3, 5)

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HELPPP, please:) super easy

Answers

Answer:

6.8

Step-by-step explanation:

Answer:

Just by approximating without a calculator, you would know it under the sqrt of 49, so it should be less than 7 and greater than 6 (sqrt of 36)

With a calculator and rounding, you will find that the answer is 6.8.

The weight, in grams, of eight different kiwis was used to create the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Weights of Kiwis: 68, 73, 75, 75, 76, 76, 78, 80

B.
Weights of Kiwis: 68, 70, 75, 75, 75, 76, 77, 80

C.
Weights of Kiwis: 68, 72, 75, 75, 76, 76, 77, 80

D.
Weights of Kiwis: 68, 70, 72, 75, 75, 76, 78, 80

Answers

Answer:

Step-by-step explanation:

The answer is d because 75 is the medain of the kiwi fruit

The answer is 75 because it explain it

part 1-Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest? Rowan- 150 yd Janelle-429 ft 8 in. Domingo-130 yd 2 ft
Lydia-460 ft

part 2-Write the distance Domingo walked in feet and inches.

Answers

Answer:

Part 1= Lydia

Part 2= 392 ft or 4704 in

Step-by-step explanation:

let me know if you need any other help:)

Circle C is shown. Line segments E C and F C are radii. Angle E C F is 109 degrees. Line segment A D is a chord. A line is drawn from point A to point B to form another chord. The measures of arcs B D and E F are congruent. Use the diagram to complete the statements. The measure of minor arc EF is °. The measure of angle DAB is °.

Answers

Answer:

109, 54.4

Step-by-step explanation:

In the circle, the measure of minor arc EF is 109° and the measure of angle DAB is 54.5°.

How to solve the circle?

From the complete information, the line segments EC and FC are radii, angle ECF is 109 degrees while the line segment AD is a chord.

In this case, the measure of minor arc EF will be the value of the angle given which is 109°. Also, the measure of angle DAB will be:

= 1/2 × 109°

= 54.5°

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Work out the surface area of a
cuboid 3cm by 3cm by 4cm?

Answers

Answer: 14 cm

Step-by-step explanation:

Answer:

It was 36 cm3

Step-by-step explanation:

3cm x 3 cm x 4 cm

=36 cm3

Which is true about the domains and ranges of the functions f(x) = 1/8 (x) and g(x) = 8(x) ?

Answers

Answer:

both have a domain and range of all real numbers

Step-by-step explanation:

Please help me solve this question

Answers

Answer:

x=12

Step-by-step explanation:

The shapes are similar, so their corresponding sides will be proportionate

Use the bases and the right most sides to create the proportion

14/56=3/x

Cross multiply

14*x=56*3

14x=168

Divide both sides by 14

x=12

Answer:

missing side is x =12

Step-by-step explanation:

[tex]given \: that \: two \: figures \: are \: similar \\ correspondung \: sides \: are \: proportional \\ let \: us \: take \: any \: two \: sides \: \\ including \: the \: value \: of \: x \\ \frac{10}{40} = \frac{3}{x} \\ \frac{1}{4} = \frac{3}{x} \\ x = 3 \times 4 \\ x = 12[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Given: mlln

What is the value of x?

Answers

Answer:

x = 8°

Step-by-step explanation:

m II n

Alternate interior angles are equal.

6x - 2 = 46

6x = 46 +2

6x = 48

x = 48/6

x = 8

Answer:

8

Step-by-step explanation:

When you have a line intersecting parallel lines, the opposite interior angles are always the same.

46 + 2 = 48

48 / 6 = 8

Solve for an angle in right triangles help

Answers

Answer:

26.39

Step-by-step explanation:

[tex] \sin(B) = \frac{AC}{AB} = \frac{4}{9} [/tex]

[tex]B = {sin}^{ - 1} = \frac{4}{9} [/tex]

[tex] = 26.387[/tex]

[tex] = 26.39[/tex]

Answer: 26.39 degrees

Step-by-step explanation: sin ^-1= 4/9

26.3877

ANSWER FOR BRAINLIEST!!! NOW!!!

Answers

Answer:

1st automobile

Step-by-step explanation:

Because it travel 271.8 miles on 10.1 gallobs of gasoline and the mile per gallon is 26.91 and the 2nd automobile travels 257.9 on 11.1 gallons of gasoline and the miles per gallon is 23.23 so the first auto mobile gets better gas mileage cuz it goes more miles and uses less gas

Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 3.3, 5, 6.2, 9., 13. The third column is labeled residual with entries 0.68, 0.04, negative 1.1, negative 0.64, 1.02. Which point is farthest from the line of best fit?

Answers

Answer:

3, 6.2

Step-by-step explanation:

Just took the assignment.

The point that is farthest from the line of best fit is : ( 3, 6.2 )

X(values)       y(values)            residual

1                    3.3                       0.68

2                   5                          0.04

3                   6.2                       -1.1

4                   9                          -0.64

5                   13                        1.02

To determine the line is best fit we graph the  plot of x and y values  ( i.e. a plot of  the y values against the x values  )

attached below is the plot showing the line of best fit

Hence From the attached residual plot we can conclude that the point that is farthest from the line of best fit is : 3(x axis ) and 6.2 ( y - axis )

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Suppose a bag contains 5 balls numbered 1 through 5. In how many way scan you select 5 balls from the bag if there is no replacement after selection?

Answers

Answer:

5

Step-by-step explanation:

We are being asked in how many ways an enumerated ball can be removed without any type of replacement, therefore it would be a combination without repetition:

nCr = n! / r! * (n-r)!

n, total number of balls, 5

r, specific number of balls, 1

5C1 = 5! / (1! * 4!) = 5

Therefore there are 5 ways to do the above.

(NEED HELP ASAP) plz UvU

Answers

Answer:

X equals 5

Step-by-step explanation:

Combine like terms

Tim purchased a random sample of clementines at a local grocery store. The 95% confidence interval for the mean weight of all clementines at the store is 76.6 grams to 90.1 grams. Interpret this confidence interval.

Answers

Answer:

Step-by-step explanation:

Confidence interval is constructed to provide an estimated for an unknown population parameter such as the mean and sometimes, the standard deviation. It is expressed as

Sample mean ± margin of error

From the confidence interval given, the lower boundary is 76.6 grams while the upper boundary is 90.1 grams. Therefore,

It means that we are 95% confident that the mean weight of all clementines at the store lies between 76.6 grams to 90.1 grams. Also, 95% of the confidence intervals constructed in this way would contain the true value for the population mean weight of all clementines at the store.

Final answer:

A 95% confidence interval for the mean weight of clementines at a local grocery store ranging from 76.6 to 90.1 grams means we are 95% confident the true average weight of all clementines falls within this range. This range is based on a random sample and provides an estimate of the population mean. The width of the interval reflects the estimate's precision.

Explanation:

A 95% confidence interval for the mean weight of clementines, which ranges from 76.6 grams to 90.1 grams, means that we are 95% confident that the average weight of all clementines available in the store falls within this range. This interval was determined based on a random sample of clementines purchased, which serves as a representative subset of the entire clementine population in the store.

The concept of a confidence interval allows researchers and statisticians to estimate the true mean of a population based on sample data. In this case, unless the true average weight of the clementines lies outside this range, which has only a 5% probability (100% - 95%), we can assume that our interval includes the true mean weight of all clementines in the store. This interpretation is common in statistics and is crucial for making informed decisions or predictions based on sample data.

The width of the confidence interval, from 76.6 to 90.1 grams, reflects the precision of our estimate. A narrower interval would indicate a more precise estimate of the true mean weight, but increasing precision usually requires a larger sample size or a more homogeneous population. The principles behind confidence intervals are fundamental in various fields, including scientific research, engineering, and business analytics, to make reliable inferences about population parameters based on sample statistics.

The radius of a dog's collar

should be at least 0.5 inch larger than

the radius of the dog's neck. A dog collar

adjusts to a circumference of 10 to

14 inches. Should the collar be worn

by a dog with a neck circumference of

12.5 inches? Explain.

Answers

Answer:

No. The collar should not be worn by this dog.

Step-by-step explanation:

Please kindly go through the attached files for more explanation.

Final answer:

the collar is too small for the dog.

Explanation:

To answer whether the dog collar should be worn by a dog with a neck circumference of 12.5 inches, we must consider the information given: the dog's collar adjusts between a circumference of 10 and 14 inches and it should be at least 0.5 inch larger than the dog's neck circumference.

First, we calculate the radius of the dog's neck using the formula for circumference: C = 2πr. For a neck circumference of 12.5 inches, the radius (r) would be:

C = 2πr
12.5 = 2πr
r = 12.5 / (2π)
r ≈ 1.9875 inches

Now, to ensure comfort, the collar's radius should be at least 0.5 inch greater than the dog's neck radius. Adding 0.5 inch to the dog's neck radius gives us:

1.9875 inches + 0.5 inch = 2.4875 inches

Which means the collar's circumference should be at least:

C = 2πr
C ≈ 2π(2.4875)
C ≈ 15.63 inches

Given that the collar adjusts to a maximum of 14 inches, this would be too small for a dog with a neck radius as calculated. Therefore, the collar should not be worn by a dog with a neck circumference of 12.5 inches, as it would not accommodate the extra 0.5 inch needed for comfort.

What’s the slope of this question

Answers

Answer:

i believe its 1.5

Step-by-step explanation:

its -4.5 crossing over the y-axis then 3 across divide that and get 1.5

2/7 converted to percentage

Answers

Look at the attached picture

Hope it will help u...:)

Answer:

Step-by-step explanation:

[tex]\frac{2}{7}*100=\frac{200}{7}\\\\=28.5714\\[/tex]

= 28.57% or

≈ 29%

Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?
A.3 hours
B.4 hours
C.30 hours
D.40 hours

Answers

Answer:

Step-by-step explanation

61.7÷ 1778= 28.81

Choice C

Answer:

C

Step-by-step explanation:

Did the test on edge

True or false 0.20 is equivalent to 2/100

Answers

Answer:

0.02 is equivalent to 2/100

therefore it is false

if i can have brainliest that would be great

Final answer:

The statement that 0.20 is equivalent to 2/100 is false. The correct equivalent fraction of 0.20 is 20/100, which simplifies to 1/5.

Explanation:

The question asks whether 0.20 is equivalent to 2/100. This is false. The decimal 0.20 is equivalent to 20/100, which simplifies to 1/5 when you divide the numerator and the denominator by the greatest common divisor, which is 20 in this case. To convert a decimal to a fraction, place the decimal number over its place value. Since there are two digits to the right of the decimal point in 0.20, you would put 20 over 100, which reduces to 1/5. On the other hand, 2/100 cannot be simplified further and remains as is. Thus, 0.20 is not equivalent to 2/100; it is actually ten times larger.

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Which of the following were reasons that the Freedmens Bureau ultimately failed in its mission?Check all of the boxes that apply.A. lack of authority to enforce lawsB. opposition in CongressC. lack of interestD. opposition in the SouthE. too many new laws the 'decisive moment" came from the street photographer henri cartier true or false Please answer Spanish question correctly The crowding-out effect is Multiple Choice strongest when the economy is at full employment. weakest when there is demand-pull inflation. strongest when the economy is in a deep recession. equally strong, regardless of the state of the macroeconomy. Angel has finished 75% of an art project that has takenhim a total of 9 hours so far. If he continues to work atthe same rate, how many hours will it take for him tocomplete the entire project? The expected rates of return on portfolios A and B are 11% and 14%, respectively. The beta of A is 0.8 and the beta of B is 1.5. The T-bill rate is currently 6%, while the expected rate of return on S&P500 index is 12%. The standard deviation of portfolio A is 10% annually, while that of B is 31%, and that of the index is 20%. If you currently hold a market index portfolio, would you choose to add either of these portfolios to your holdings? Discuss your answer. Please help!!A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.a. Write a function to represent this situation. Use x and y as your variables.b. What would his weight be after 8 weeks? You are working on a project that is being implemented in a country different from your country of origin. You also have team members in several locations around the globe. You should consider all of the following specifically in regard to managing teams in this situation except for which one?A. Time zonesB. Project presentation methodsC. Cultural differencesD. Communication styles For twenty years, Maynard works for Natural Gas Wells, Inc., which employs more than five hundred persons in two states. Natural Gas Wells drills for and mines natural gas to sell and transport to refineries, which in turn pipes liquefied gas to other states. Maynard starts as an unskilled worker in the drilling fields. After a career of positive job evaluations and pay raises, Maynard is ultimately promoted to the position of chief of maintenance for a dozen wellheads. Five years later, a new employee, Oberto, is hired to oversee operations at all of the wellheads. Oberto demotes Maynard, who is now over the age of forty, and freezes his salary. Oberto demotes five other employees over the age of forty and places Maynard under the supervision of Pitt, who is twenty-three. Maynard overhears Pitt say, "Were going to have to do away with these old men." Maynard quits and files a suit against Natural Gas Wells for employment discrimination. Should he prevail? Why is strength training critical to a weight loss program?options:It helps maintain lean body mass.It burns a significant number of calories.It decreases cellulite.It increases cardiovascular endurance.Specific exercises can effectively spot reduce fat deposits in certain areas of the body. y= 4x - 9 when x = 3 Elises psychologist asks her to keep a record of beliefs that she has about events that happened to her, as well as how those beliefs make her feel emotionally. With the assistance of her psychologist, Elise learns how she can dispute such beliefs and replace them with more effective new beliefs. Elises psychologist is likely treating her with ______. The scatter plot below represents the distance Robin has traveled in the first 6 hours of a trip. The linear equation representing the line is y=30x + 20.about how many hours will it take for Robin to travel 320 miles? The radius of a circle is 9 miles. What is the length of a 180 arc? write an equation for the amount of money, m that will be collected if b boxes of chocolate are sold. Consider the following algorithm to calculate the sum of the n elements in an integer array a[0..n-1]. sum = 0; for (i = 0; i < n; i++) sum += a[i]; print sum; 1. What is the growth rate function for the above algorithm. (How many steps are executed when this algorithm runs?) 2. What is big O notation? A recent study examined hearing loss data for 1981 U.S. teenagers. In this sample, 369 were found to have some level of hearing loss. News of this study spread quickly, with many news articles blaming the prevalence of hearing loss on the higher use of ear buds by teens. At MSNBC (8/17/2010), Carla Johnson summarized the study with the headline: "1 in 5 U.S. teens has hearing loss, study says." To investigate whether this is an appropriate or a misleading headline, you will conduct a test of significance with the following hypotheses: Null: = 0.20 Alternative: 0.20 You conduct a quasi-experiment to assess the impact of raising the speed limit from 55 to 65 miles per hour. You find that there are more accidents in the 6-month period following the speed limit change than in the 6-month period before the speed limit change. Although it is tempting to say that raising the speed limit caused higher accident rates, you must be careful because_________.A) you don't have an independent variable in this design. B) you have an adequate understanding of the operational definition of an "accident" C) other variables (for example, cheaper gasoline or the season of the year during which the change was instituted) may also be affecting accident rates. D) there is no problem with drawing this causal conclusion. During the Great Recession of 2008-2009 and the current pandemic, corporate cash conversion cycles typically increased in length by a significant amount. Why might this have occurred? How can this be mitigated? Was it a good decision by corporate CFOs to allow this to happen? Explain. Read the excerpt from President Woodrow Wilsons speech The Meaning of Liberty.What other great people has devoted itself to this exalted ideal? To what other nation in the world can all eyes look for an instant sympathy that thrills the whole body politic when men anywhere are fighting for their rights? I do not know that there will ever be a declaration of independence and of grievances for mankind, but I believe that if any such document is ever drawn it will be drawn in the spirit of the American Declaration of Independence, and that America has lifted high the light which will shine unto all generations and guide the feet of mankind to the goal of justice and liberty and peace.How does Wilson employ metaphor to convey his message to the audience?Select all that apply.Address at Independence Hall: The Meaning of LibertyA.) He says the nation has lifted high the light, which sends the message that America will help others see the way to democracy.B.) He says that America has fulfilled an exalted ideal, which sends the message that America has achieved a perfect system of democracy.C.) He says an additional declaration may someday need to be drawn in the spirit of the original document, which compares American democracy to a beautiful painting.D.) He says that democracy will guide the feet of mankind to justice and liberty and peace, which compares democracy to a path that America has already traveled.