2. The truth will prevail. (Justify your answers, no justification, no credit). (12 points each) a) In any given sample, the median is never larger than the mean, unless the distribution is symmetric. True or False. b) The sign of the correlation coefficient provides us with information regarding how good a line fits the data points we are studying. True or False. c) The range is always larger than the inter-quartile range. True or False

Answers

Answer 1

Answer:

False ;

False ;

False

Step-by-step explanation:

In a perfectly symmetric distribution, the mean and Median values are the same. But for skewed distributon, the median is greater than the mean (negatively skewed or left skewed data). Hence, the assertion is false.

The sign of the correlation Coefficient does not give information about how good a line fits. The sign attached to the correlation Coefficient gives information about the slope and hence, the type of relationship between the variables.

Positive (+) sign = positive relationship between variables ; negative (-) sign = negative relationship between variables.

C.)

The value of the range is not always higher Than the value of the interquartile range. The IQR might have the same value as the value of the range.

For instance :

Given the data :

1, 1, 1, 2, 2, 3, 4, 4, 4

Range = maximum - minimum

Range = 4 - 1 = 3

Interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) = 7.5th term

Q3 = (7th + 8th) / 2 = (4+4)/2 = 4

Q1 = 1/4(10) = 2.5th term

Q1 = (2nd + 3rd) / 2

Q1 = (1 + 1) /2 = 1

Q3 - Q1 = 4 - 1 = 3


Related Questions

Rotate the vector (3,-2) 90°
counter-clockwise about the
origin.

Answers

If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Convert the cartesian coordinate to the polar coordinate. Then we have

[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]

Then 90° counter-clockwise about the origin, then the angle will be

θ = 326.31 + 90 = 431.31

But θ is from 0 to 360. Then

θ = 431.31 - 360 = 56.31

Then convert the polar coordinate to the cartesian coordinate. Then we have

x = r cosθ

x = 3.61 × cos 56.31

x = 2

and

y = r sinθ

y = 3.61 × sin 56.31

y = 3

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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Answer:

-2,-3

Step-by-step explanation:

A coffee shop sells their coffee beans by the pound. the table below shows the cost in dollars for a pound of two different types of beans. How much more is the cost for 1 1/3 pounds of jimmy jitters beans then the calls for 1 1/3 pounds of Harry's himalayan beans

Answers

Answer: 23.6

Step-by-step explanation:

9.25+8.42 = 17.7

1 1/3 x 17.7 = 23.6

Two numbers total 51 and have a difference of 23. Find the two numbers?

Answers

Answer:

14 and 37

I just kept checking all the pairs I could think of until I got to this answer.

Rebecca ran 12 1/4 mile in 2 1/2 hours what was your average speed in miles per hour

Answers

Answer:

Your average speed was 3.29 Miles per hour (mph)

Please Consider Marking Brainliest.

FIND X. PLEASE HELP............. ..........!

Answers

Answer:

x=23

Step-by-step explanation:

What’s the correct answer for this question?

Answers

Hopes this helps:

Answer: D.

1. Simplify 12/18 to 2/3.
2/3 = 16/24


2. Simplify 16/24 to 2/3.
2/3 = 2/3


3. Some both sides equal, there are infinitely many solutions.

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).

z=

Answers

Answer: The required z-score = 1.25

Step-by-step explanation:

Let x be a random variable that denotes the scores in the exam.

The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]

As per given, we have

X= 625, mean=500, standard deviation = 100

Z-score = [tex]\dfrac{625-500}{100}[/tex]

i.e. Z-score = [tex]\dfrac{125}{100}[/tex]

i.e. Z-score =1.25

Hence, the required z-score = 1.25

Someone please help me and explain it in simple words please and thank you.

Answers

Answer:

if you have a calculator above ti 84 you can enter integrals by pressing alpha window and selecting the integral option other than that it is not simple on paper you should look up a vid but it will take at least 15 mins to learn

alt optio. is to use wolfram alpha it works great you just input your problem


Which one of the following U.S. customary units is closest in volume to I liter?

Answers

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

What is volume?

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

To learn more about the volume refer:

https://brainly.com/question/1578538

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I need step by step answer to my question

Answers

Step-by-step explanation:

what is your questions

Answer:

The answer would be 13.5 pints

Step-by-step explanation:

when you do 2 gallons - 2 pints you get 1.75 gallons

then when you do 1.75 - 1 cup you get 13.5 pints

What are the factors of 25x^2 – 9y^2?

A. (x-9y)(25x+y)
B. (x+9y)(25x-y)
C. (5x-3y)(5x-3y)

Answers

It’s C
Hope it helps

Micah and crystal purchase two movie tickets. Tickets cost $8.50 each. drinks cost $3.50 each, and the boxes of candy cost $3.00 each. use an algebraic expression to desribe how much they spend based on the number of tickets, drinks and boxes of candy they buy

Answers

Answer:

2t+2d+2c=30

2(8.50)+2(3.50)+2(3.00)=$30

Step-by-step explanation:

t= tickets (8.50)

d= drinks (3.50)

c= candy (3.00)


Find mHK.
pls hurry and answer lol

Answers

It would be mark N? I think

Answer:

mHK= 104

Step-by-step explanation:

X+39=4X

39 = 3x

X=13

13+39=4(13)

52=52

HK=52+52

mHK=104

Given X=[b a 4 a], Y=[c d a b], and Z=[a c 16 b]. What is Y if x-2y=z?

Answers

Answer:

A

[2, -4, -6, -2]

Step-by-step explanation:

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5
-13/5
-5/12

Answers

Answer:

Step-by-step explanation:

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5

-13/5

-5/12

What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.

Answers

Answer:

4/52

Step-by-step explanation:

In the following equation, when x=0, what is the value of y?

3x + 4y = 12

Answers

Answer:

(3)(0)+4y=12

Step 1: Simplify both sides of the equation.

(3)(0)+4y=12

0+4y=12

(4y)+(0)=12(Combine Like Terms)

4y=12

4y=12

Step 2: Divide both sides by 4.

4y

4

=

12

4

y=3

Answer:

C. Y = 3

Step-by-step explanation:

solve for x and y and expain

Answers

Answer:

Read explanation

Step-by-step explanation:

x+4=15

-4=15-4

x=11

0.4 is the scale factor (similarity) between the two triangles, so multiply 25 x 0.4 to get y value.

Y= 10

Hope this helped! Please heart <3

An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.

Answers

Hi

Let's call X  the amount in the beginning.  

we  have X*1.03^6 = 1819.77

                X =  1819.77 /  1.03^6

                X ≈ 1524.03

Which is the best type of graph to show the number of jellybeans eaten by each child at a summer camp?

A. pictograph

B. stem and leaf plot

C.double bar graph

D. line graph

Answers

Option A . Pictograph

Answer:

A. Pictograph

Step-by-step explanation:

Because this graph has a row for each kid so it would show what they want you to

Mandy has a flower garden that is 30 1/2 square feet. she wants to plant daisies in 1/3 of the garden. what will the area of the daisies part of the garden be? Write and solve the equation that will help you figure out the area of the daisies section of the garden. explain the steps you took to solve the problem.

Answers

Answer:

area of the daises part of the garden = 1/3 x 30 1/2

10 1/6 square feet

Step-by-step explanation:

area of the daises part of the garden = area of garden x 1/3

= 1/3 x 30 1/2

Convert the mixed fraction to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

= 1/3 x 61/2 = 61/6

convert to mixed fraction

10 1/6

Pls only give direct answers

Answers

Answer:

B

Step-by-step explanation:

Please help me! I really don't understand this.

Answers

Answer:

B

Step-by-step explanation:

x is less than -1 and the point is on -1.

Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18

Answers

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

Triangle IJK is dilated by a scale factor of 3/4
​ to form triangle I'J'K'. Side J'K' measures 13.5. What is the measure of side JK?

Answers

Answer:

18

Step-by-step explanation:

JK * 3/4 = J'K'JK * 3/4 = 13.5JK = 13.5 : 3/4JK = 13.5*4/3JK = 18

An expression is shown below:

f(x) = 2x^2 − x − 10

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Yo I got my phone call and wow

Translate the statement 'fifty-four minus the product of six and four' into a numeric expression and then evaluate the expression. In the first box, input the expression without evaluating, so your answer should look like 4 ⋅ 2 + 9 . In the second box, put the actual value of the expression, like 17 .

The numeric expression is: __________

The value of the expression is: ____________

Answers

Answer:

54-(6x4)

Step-by-step explanation:

6x4=24

54-24=30

The numeric expression is: 54-(6x4)

The value of the expression is: 30

So sorry if I'm wrong.


Which value of x will make these ratios equivalent

24/42=4/x

A.19
B.15
C.7
D.5

Answers

It’s a srry if it’s not gone out here but it’s coo

Find the area of each figure. Answer asap

Answers

Answer: There is no picture I will edit my answer when you add one

Step-by-step explanation:

Answer:

I need the picture or the shape please and thank you

Step-by-step explanation:

please help ///// brainiliest

A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?

A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2


No dam links

Answers

I think it would be D. 104
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