Courtney recorded her friends' shoe sizes. 4, 8, 7, 10, 12, 9, 8, 5 What was the interquartile range of the shoe sizes? A. 3.5 B. 6.0 C. 8.0 D. 9.5

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello!

The Interquartile range (IQR) is a measurement of dispersion, it is the "distance" between the third quartile and the first quartile.

IQR = Q₃ - Q₁

Data 4, 5, 7, 8, 8, 9, 10, 12 (ordered from least to greatest)

n= 8

The first quantile separates the bottom 25% from the top 75%

First, you calculate the position of the quartile:

Position Q₁= (n+1)/4= (8+1)/4= 2.25

4, 5, 7, 8, 8, 9, 10, 12

The 1st quartile is between the 2nd and 3rd observation, so the next step is to calculate the average between the two observations to get the value of the quartile:

Q₁= (5+7)/2= 6

The third quantile separates the bottom 75% from the top 25%

First, you calculate the position of the quartile:

Position Q₃= (n+1)*(3/4)= (8+1)*(3/4)= 6.75

4, 5, 7, 8, 8, 9, 10, 12

The 3rd quartile is between the 6th and 7th observation, so the next step is to calculate the average between the two observations to get the value of the quartile:

Q₃= (9+10)/2= 9.5

IQR = Q₃ - Q₁= 9.5-6= 3.5

The correct answer is A.

I hope this helps!


Related Questions

what is the solution of this equqtion w -3=15​

Answers

Answer:

w = 18

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation

Solve  :    w-18 = 0  

Add  18  to both sides of the equation :  

                     w = 18

Hope this helps.

Answer:

w - 3 = 15

w - 3 + 3 = 15 + 3

w = 18

Step-by-step explanation:

1. add three to both sides

Which of the following numbers is not a rational number? -3 2.7 √4 √5

Answers

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

what is the radius and diameter of a 14cm circle

Answers

Answer:

Radius= 7cm

Diameter= 14cm

Step-by-step explanation:

Hope it Helped!!

❗️ASKED ONCE AND NO ONE ANSWERED, WILL MARK BRAINLIEST,,,,,,,,,,❗️. Five men and eight women work in a firm’s PR office. Their employer must choose two of them to attend a conference in Chicago. What is the probability of choosing one woman and one man to attend the conference?

A. 15/28
B. 6/13
C. 20/39
D. 8/15

MUST PROVIDE EXPLANATION

Answers

Answer:

I DONT KNOW BUTTTTTTT CAN YOU MARK ME BRANINLIST

Answer:

20/39

Step-by-step explanation:

Choose 2 out of 13 which is the total. this is 13C2

5 * 8 for one man and one women.

divide.

what is the range of the function shown in the graph?
a. -♾ < y < 5
b. -♾ < y < ♾
c. -♾ < y < -5
d. -5 < y < ♾

Answers

Answer:

-♾ < y < 5

Step-by-step explanation:

Range is set of all possible values for Y.

To know the range of value from graph one needs to see points on  axis beyond which the curve does not move.

Alternatively, we can say range is  the  value of y which is limiting the movement of curve beyond those limits.

Here we can see that upper point on curve is constrained at midpoint of  4 and 6 which is point 5.

Thus, upper limit is 5

which can be written as

y<5

___________________________________

For lower limit , it

Since , the at lower end curve is extended till the end of graph and the end of graph represents infinity. Also, this infinity is on the negative side of y .

Then lower end is -♾ .

which can be written as

y> -♾

Also we can see that graph is continuous one as there is no break in the curve between 5 and -♾.

Thus range of curve is from minus infinity to 5

which can be expressed as

-♾ < y < 5

What is a straight line from the center to the circumference of a circle

Answers

Answer:

From the CENTER, it would be radius of the circle

Step-by-step explanation:

Stretching across the entire circle is diameter, while from the center is radius.

Please help it’s urgent

Answers

Answer:

Angle CED

Step-by-step explanation:

They are opposite to each other in the X they make.

The measure of a circumscribed angle is equal to 180° minus the measure of the __________
angle that intercepts the same arc.​

Answers

I believe it is an inscribed angle but I am not positive

Answer:

The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

Answers

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

[tex] A"B" = \frac{AB}{2} [/tex]

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

[tex] A"B" = AB * \frac{1}{2} [/tex]

[tex] A"B" = \frac{AB}{2} [/tex]

The equation that explains the relationship between segment AB and segment A"B" is

[tex] A"B" = \frac{AB}{2} [/tex]

Option A is correct

Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared

Answers

Question

Which algebraic expression has like terms?

[tex]9n^3 - 2n + 3 - 4n^2[/tex]

[tex]7n^3 + 3n - 3 - 6n^2[/tex]

[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]

[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]

Answer:

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]

B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

Step-by-step explanation:

Given:

The above expressions

Required:

Expressions with like terms

Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;

Like terms are dependent on the exponents and are independent on the sign of each terms.

Listing out the exponents of each options;

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]

The exponents of n are 3 1 3 2

Rearrange: 1 2 3 3

D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]

The exponents of n are 3 4 1 2

Rearrange: 1 2 3 4

From the list of exponents above, only A and B are equal;

Hence, the following expressions have the like terms

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

Plis help I need help

Answers

Answer:

meee tooo

Step-by-step explanation:

helpplppppppp

Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.

  9) All points with a y-coordinate of 0 will always lie on the x axis.

Step-by-step explanation:

Help please someone thanks

Answers

Answer:

16

Step-by-step explanation:

The run is the amount in the x direction

-8 to 8 = 16 units

(8- - 8) = 8+8 = 16

The run is 16

The run would be 16 units

Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

Volume of the given cone is 1107.6 cubic feet.

Step-by-step explanation:

Formula to get the volume of a right circular cone is,

V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Now we put the values in the given formula

Volume = [tex]\frac{1}{3}\pi (8.6)^2(14.3)[/tex]  [ radius = [tex]\frac{17.2}{2}=8.6[/tex] ]

             = [tex]\frac{1057.628\pi }{3}[/tex]

             = 1107.55

             ≈ 1107.6 cubic feet

Therefore, volume of the given cone is 1107.6 cubic feet.

Answer:

146.6 ft3

Step-by-step explanation:

2x-y+5=8 in slope-intercept form please!

Answers

Answer:

y= 2x - 3

Step-by-step explanation:

slope intercept form:  y= mx + b

Answer:

y= 2x-3

Step-by-step explanation:

2x-y+5=8

-y= 8-2x-5

-y=-2x+3

-1(-y=-2x+3)

= y= 2x-3

2ײy³+ 15z⁴= z²+ 69x²

solve by factoring

Answers

Answer:

x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2

hope this helped

Answer:

combine like terms

Step-by-step explanation:

u wont geta  proper answer but u will get a equation that i smaller

HELP FAST this is a late assignment

Answers

Answer:

A, C, and D

Step-by-step explanation:

They are subtracting

Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.

Answers

Answer:

19.2

Step-by-step explanation:

1st Case:

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

2nd Case

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

Final Step

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: 19.2

plzzzzzzzzzzzzzaaaaaaaaaaaa

Answers

Answer:

A

Step-by-step explanation:

use the quadratic formula and you should end up with this

d=1/32 (33+[tex]\sqrt{1217}[/tex])=2.121

The domain is [0,2.121...].

x = -b / 2a = -3.3/(-3.2) = 1.031

max=1.902

so its A

pls mark me brainliest

Correct answers only please!


To the nearest cent, how much interest will she earn in 2 years?


Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

10.50 is the interest

Step-by-step explanation:

B = p(1 + r)^t

P = 50

r = .10

t = 2

B = 50(1 + .1)^2

  = 50(1.1)^2

  = 50(1.21)

   = 60.5

But we want to know the interest and this is the balance

60.5- 50 = 10.5

You have bag filled with 6 red marbles, 4 blue marbles, and 8 yellow marbles. What is the probability of pulling out a red marble?

Answers

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Jamie wants to put tiles on the walls and floor of his room (but not on the ceiling). The length of his room is 10 ft, the width is 14 ft, and the height is 12 ft. If each tile is 1 ft long and 1 ft wide, how many tiles will Jamie need/

Answers

Answer:

Jamie would need 140 tiles.

Which relationship is suggested by the scatter plot below?
A.The lighter the vehicle, the lower the gas mileage.
B.The heavier the vehicle, the higher the gas mileage.
C.The heavier the vehicle, the lower the gas mileage.
D.The weight of the vehicle does not affect the vehicle's gas mileage.

Answers

C. We see this because the scatter plot is going down in a negative direction, and the vehicle weight is going up on the x value

Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy

Answers

Answer: Sandy.

Step-by-step explanation:

Elaine has 16 tablespoons of lemonade, and uses 2 per glass.

then she can make 16/2 = 8 glasses of lemonade.

Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,

then she can make 18/3 = 6 glasses of lemonade.

Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.

What is the domain of the function y = 2 e Superscript x graphed below? On a coordinate plane, a curve starts in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2). all real numbers greater than 2 all positive real numbers all negative real numbers all real numbers

Answers

Answer:

The answer is all real numbers.

Step-by-step explanation:

I just took it and got a 100 on EDG 2020.

Answer:

It's D - all real numbers

Step-by-step explanation:

on edge 2021

Select the correct answer. Maxine owns a food truck that sells cups of frozen yogurt. The revenue, y in dollars, Maxine makes from selling x number of frozen yogurts is recorded in the table below. x 38 44 55 62 76 y 68.42 76.38 83.61 80.27 74.75 If y = -0.03x2 + 3.52x - 21.86 is the equation for the curve of best fit for the given data, about how much revenue will Maxine make when she sells 90 cups of frozen yogurt? A. $41.79 B. $83.61 C. $67.74 D. $51.94

Answers

Answer:

$51.94

Step-by-step explanation:

what is 512.3÷ 0.25​

Answers

Answer:

2049.2

Step-by-step explanation:

512.3÷ 0.25​= 2049.2

You can use a calculator... (or long division.)

Answer:

2,049.2

Step-by-step explanation:

Hope this helped!

o(*^▽^*)┛

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses.

Answers

Answer:

79 people can only be in this so we have 53 kids so 53 * 4 = 212

Step-by-step explanation:

However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.

To fine how much money they earn you will just have to add them up so

$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

Given,

The drama club is selling tickets to their play to raise money for the show's

expenses.

Each student ticket sells for $4 and each adult ticket sells for $8.50.

The auditorium can hold at most 79 people.

The drama club must make no less than $460 from ticket sales to cover

the show's costs.

If 53 student tickets were sold, determine the minimum number of adult

tickets that the drama club must sell in order to meet the show's expenses.

How to find the number of items from a total cost where each item cost is the same?

We will divide the total cost by the cost of each item.

Example:

Cost of each item = $3

Total cost = $9

Number of items = $9 / $3 = 2

We have,

Student ticket:

Cost of each ticket = $4

Number of tickets sold = 53

Total sell from student tickets sold = 53 x $4 = $212

Adult ticket:

Cost of each ticket = $8.50

Number of adult tickets sold = M

Total sell of adult tickets sold = M x $8.50

Total number of people the auditorium can hold = 79

Minimum amount to make from ticket sales = $460

The remaining amount that needs to sale from adult tickets:

= $460 - $212

= $248

The number of adult tickets sold:

M = $248 / $8.50 = 29

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

Learn more about finding the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses here:

https://brainly.com/question/13955056

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The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed. What is the independent variable in this relationship?

Answers

Answer:

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?

Answers

Answer:

18 golf balls in all, 1/18 is the answer

Step-by-step explanation:

Answer:

1. 18

2. {blue, magenta, purple}

3. P(blue) = 1/2

P(magenta) = 7/18

P(purple) = 1/9

Step-by-step explanation:

Total balls:

9 + 7 + 2 = 18

Sample space: all possible outcomes

{blue, magenta, purple}

P(blue) = 9/18 = 1/2

P(magenta) = 7/18

P(purple) = 2/18 = 1/9

Help me asap!!!!!!!!!!!

Answers

Answer:

(x-2)^2-11

Step-by-step explanation:

= (x - 2)^2 - 11 is the answer
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