The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.

Answers

Answer 1

Answer:

Lower quartile = 6

Uppwr quartile = 10

Step-by-step explanation:

Coefficient of quartile deviation = 0.25

Quartile deviation = 2

Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)

Quartile deviation = (Q3 - Q1) / 2

Hence;

Quartile deviation = (Q3 - Q1) / 2 = 2

Q3 - Q1 = 2 * 2

Q3 - Q1 = 4 - - - - (1)

Q3 = 4 + Q1 - - - - (2)

(Q3 - Q1) / (Q3 + Q1) = 0.25

Q3 - Q1 = 4

4 = 0.25(Q3 + Q1)

Q3 + Q1 = 4 / 0.25

Q3 + Q1 = 16 - - - - (3)

Put Q3 = 4 + Q1 in (3)

4 + Q1 + Q1 = 16

4 + 2Q1 = 16

2Q1 = 16 - 4

Q1 = 12 / 2

Q1 = 6

Q3 = 4 + Q1

Q3 = 4 + 6

Q3 = 10


Related Questions

A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is labeled Cups of Hot Chocolate Sold. Data points are located at 20 and 20, 30 and 18, 40 and 20, 35 and 15, 50 and 20, 45 and 20, 60 and 14, 65 and 18, 80 and 10, 70 and 8, 40 and 2.

Answers

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

Question;

First Part

What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words

Second Part

How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit

Explanation

The data points are presented in the following table;

[tex]\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}[/tex]

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

[tex]b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }[/tex]

a = [tex]\bar y[/tex] - b·[tex]\bar x[/tex]

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

[tex]\bar y[/tex] = 15, [tex]\bar x[/tex] = 48.63636

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410[/tex]

[tex]\sum \left(x_i - \bar x\right )^2 = 3354.545[/tex]

Therefore;

[tex]b = \dfrac{-410}{3354.545} = -0.12222[/tex]

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

For EASY BRAINLIEST!!!

Answer as many as you can !!

Answers

That’s a lot of work to do but you probably got it by now .

C) –7c^5 + 13c^5 + c^5=

Answers

Answer:

please mark as brilliant thanks for the above

Randip had a balance of $86 in her checking account. She made deposits of $34 and $15. She then made withdrawals for $17 and $30. How much money does Randip now have in her account

Answers

Answer:

$88

Step-by-step explanation:

Randip's balance = initial deposit + sum of deposits - sum of withdrawals

sum of deposits = $34 + $15 = $49

sum of withdrawals =  $17 + $30 = $47

$86 + $49 - $47 = $88

Answer:

88

Step-by-step explanation:

What is 1 1/8-3/4 also what is 3 5/8-2 7/8

Answers

Answer: 4.25

Step-by-step explanation: Conversion a mixed number 3 1/

8

to a improper fraction: 3 1/8 = 3 1/

8

= 3 · 8 + 1/

8

= 24 + 1/

8

= 25/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25

c) Write a previous answer (new numerator 25) over the denominator 8.

Three and one eighth is twenty-five eighths

Conversion a mixed number 2 3/

8

to a improper fraction: 2 3/8 = 2 3/

8

= 2 · 8 + 3/

8

= 16 + 3/

8

= 19/

8

To find new numerator:

a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/

8

= 16/

8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths

Add: 25/

8

+ 19/

8

= 25 + 19/

8

= 44/

8

= 4 · 11/

4 · 2

= 11/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/

2

.

In words - twenty-five eighths plus nineteen eighths = eleven halfs.

Conversion a mixed number 1 1/

4

to a improper fraction: 1 1/4 = 1 1/

4

= 1 · 4 + 1/

4

= 4 + 1/

4

= 5/

4

To find new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/

4

= 4/

4

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 4.

One and one quarter is five quarters

Subtract: the result of step No. 3 - 5/

4

= 11/

2

- 5/

4

= 11 · 2/

2 · 2

- 5/

4

= 22/

4

- 5/

4

= 22 - 5/

4

= 17/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - eleven halfs minus five quarters = seventeen quarters.

how do I solve this?

Answers

Answer: I cant see the problem

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

Which item on the diagram below of a circle, with center
0, represents a radius of the circle?

Answers

Answer:

The answer is DE

Step-by-step explanation:

I learned about it in school.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

Given that, a circle, with center O, represents a radius of the circle.

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Here, DO and OC is the radius of a circle with center O.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

To learn more about the circle visit:

https://brainly.com/question/11833983.

#SPJ2

En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.

Answers

Answer:

36 Km

Step-by-step explanation:

Por favor, encontrar el archivo adjunto

Solve for h
h(x)=a(x-h)^2+k
h(x)=x^2-8x+14

Answers

Answer:

h = 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

Given

h(x) = x² - 8x + 14

Express h(x) in vertex form by using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

h(x) = x² + 2(- 4)x + 16 - 16 + 14

      = (x - 4)² - 2

Compare to h(x) = (x - h)² + k , then

h = 4

What's the distance between the two points (0,-2) and (0,-9)

Answers

7 is the distance between the two points

Find the area of a regular hexagon with radius length 8

Answers

Of purse you have to use the length and then the radius to find it out I haven’t really study this that much tho! It’s better to ask someone more knowledgeable then me

Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)

A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8​

Answers

Answer:

D

Step-by-step explanation:

4x+3y -4x -y = 17 -9

<=> 2y =8

What is the gradient of the line that passes through the points (4.2) and (0.4)

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]

[tex]=>\frac{4-2}{0-4}[/tex]

[tex]=> -\frac{1}{2}[/tex]

That's it. Hope that helped.

Is -14 greater than less than or equal to -3

Answers

Answer:

less than is the correct answer


[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question​

Answers

Multiply each term in the first expression by each term in the second expression and combine like terms.
4
x
3
+
4
x
2

7
x

6

Evaluate: 5 + 2 • 42?

Answers

5 + ( 2 × 42 ) =

5 + 84 =

89

.....

.....

Answer:

89

Step-by-step explanation:

So we will follow PEMDAS in this exact order:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

5 + 2 • 42 Equation

5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication

5 + 84 We have no division so we move on to addition

= 89 We have no subtraction so this is our final answer

Solve for x. Round to one decimal place

Answers

Answer:

x ≈ 27.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 54°

Opposite Leg = 22

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin54° = 22/x[Multiplication Property of Equality] Cross-multiply:                                      x = 22/sin54°Evaluate:                                                                                                           x = 27.1935Round:                                                                                                               x ≈ 27.2

Find the measure of the angle indicated. PLSASE HELP !!!!

Answers

Answer:

Step-by-step explanation:

3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)

11x + 8 = 140

x = 140 - 8

x = 132 /11

x = 12

angle S = 3x + 4

=3*12 + 4

=36 + 4

=40 degree

89 + 5x - 7 = 14x + 1

82 + 5x = 14x + 1

82 - 1 = 14x - 5x

81 = 9x

81/9 = x

9 = x

angle H = 5x - 7

=5*9 - 7

=45 - 7

=38 degree

Answer:

15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)

      140+<SRT=180

       <SRT=40

NOW

<SRT+<STR+<RST=180

40+8X+4+3X+4=180

11X=132

X=12

SUBSTITUTING THE VALUE OF X IN <RST

3*12+4=40

HENCE,<S=40 DEGREE

SIMILARLY,

16.

<H=38 DEGREE

Given that a²+b²=34 and ab=15 , find the value of (a+b²).​

Answers

Answer:

The numbers are 3 and 5

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

3^2=9

5^2=25

25+9=34

3*5=15

Answer:

64

Step-by-step explanation:

(a+b)²= a²+b²+2ab = 34+(2×15)= 64

3p²q - 6pq² help me please .​

Answers

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

Please answer quickly this is due today and I just can’t figure it all out!!

In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities

Answers

Answer:

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves

y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)

(18, 7)

(0, 15)

(33.75, 0) or (33, 0) if you insist on rounding.

Step-by-step explanation: Good luck and hope this helps :)

Anyone know the answer to this please?

Answers

Answer:

140 degrees

Step-by-step explanation:

The center angle of a semi circumference is 180 degrees

BC 180 - 20 - 20 = 180 - 40 = 140 degrees

Answer is :
140 degrees


Because I said so


A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them ​

Answers

Answer:

15m

Step-by-step explanation:

did the math

Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79

Answers

Answer:

0.7

Step-by-step explanation:

7/9 = 0.7

Answer:

0.7 (with the repeating sign on the 7)

Step-by-step explanation:

In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.

Answers

Answer:

The unit I would place in the denominator of my ratio is minutes

Step-by-step explanation:

1 hour = 60 minutes

Converting 14 hours to minutes

= 14 hours/ x minutes = 1 hour /60 minutes

x minutes = 14 × 60 minutes

= 840 minutes

14 hours = 840 minutes

Therefore,

The unit I would place in the denominator of my ratio is minutes

Which graph represents y as a function of x?

Answers

Answer:

A

Step-by-step explanation:

By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.

If 120 learners took an examination, passes to fail is 17:3 : what percentage of learners passed​

Answers

Answer:

85%

Step-by-step explanation:

First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.

17 +3 = 20

120/20 = 6

Each individual ratio is equal to 6.

17 * 6 = 102

3 * 6 = 18

102/120 = percentage of who passed

= 0.85

85 percent of learners passed.

PLS HELP WILL GIVE BRAINLIEST IF CORRECT♡

Rationalize the denominator of fraction with numerator square root of -36 and denominator the quantity of 2 minus 3i plus the quantity 3 plus 2i

Answers

Answer:

Here are the step require to divide complex numbers:

Step 1:To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.Step 2:Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.Step 3:Simplify the powers of i, specifically remember that i2 = –1.Step 4:Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.Step 5:Write you answer in the form a + bi.Step 6:Reduce your answer if you can.

Example 1 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can’t reduce, so the final answer is:

  Example 2 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems

Example 3 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems

Example 4 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

1. Identify the following numbers as rational or irrational.
a. -15.4
b. 27/5
c. 0.99999....
d. V

Answers

a. -15.4 is a rational number.
b. 27/5 is a rational number.
c. 0.99999… is an irrational number.
d. √7 is an irrational number.

what is the value of k in which the expression k-22=13-61​

Answers

Trust me this is the answer 18.666666
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