Below are the ratings for a sample of 12 hotels in small Ontario towns:

1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2

The critical values of this data set are given:

Q1=4.8 Q2=6.6 Q3=7.2

a) Determine the following and show all work: [3 marks]

i) interquartile range (IQR)

ii) upper boundary and lower boundary

iii) any outlier(s)


b) Create a modified box plot for the data, showing any outlier(s). [1 mark]


c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]

Answers

Answer 1

Answer:

a)

i) Interquartile range is   2.4  

ii) Upper boundary is 10.8  

The Lower boundary is 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1

b) The modified boxplot with one outlier is given in the diagram.                                                          

c) The 80th percentile is    

The minimum rating the hotel can get is 7.3

Step-by-step explanation:

a)

i) Interquartile range is  

IQR = Q3-Q1 = 7.2-4.8 = 2.4  

ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8  

Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1  

c) The 80th percentile is given by  

n= 12  

k = 0.80  

Index is given by k*n =0.80*12 = 9.6  

Round to nearest whole number, that is 10th  

80th percentile is the 10th number (arranged in ascending order)  

80th percentile = 7.3  

The minimum rating the hotel can get is 7.3.

b) The modified boxplot with one outlier is given as follows,  

Below Are The Ratings For A Sample Of 12 Hotels In Small Ontario Towns:1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1

Related Questions

Find the volume of this cylinder please..

Answers

Answer: 825

Step-by-step explanation:

Plug in the values for v = π*r²*h

So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)

The question is also telling us to replace π with 3.

now we solve, after gathering all of our information.

v = 3*5²*11

v=3*25*11

v=75*11

v=825

Find the length of the arc. Use 3.14 for the value of . Round your answer to the nearest tenth. Enter your answer and also show your work to demonstrate how you determined your
answer.

Answers

Answer:

ARC= 15.7

ARC= 2(3.14)10(90/36)

Step-by-step explanation:

Please help me find which expression is correct

Answers

Answer:

IN MY OPINION D NO IS THE CORRECT ANSWER OF YOUR QUESTION.

Answer:

in my opinion d is the correct answer of your questions.

Step-by-step explanation:

Because subtract subtract sign is always add.

hope this will help you

thanks

-2 (x+5):4
Pliss es para hoy

Answers

I don't know how you want it solved but, I am giving u -2 I hope this helps

HURRY QUICKLY Ashley is preparing for a horse riding competition. She has trained her horse for 4 hours and has completed 172 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
42 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
43 rounds per hour

Answers

Step-by-step explanation:

C. 45 rounds per hour. is the answer

Answer:

D (43 Rounds Per Hour)

Step-by-step explanation:

Ashley has completed 172 rounds and trained her horse for 4 hours. Supposing she riding is training her horse, we can divide 172 by 4, showing how much rounds is completed in an hour. If you think about it, dividing by four is making it four times less. And since Ashley have ridden it for four hours, dividing it by four makes one hour. Now, for the math, we do 172/4 (172 divided by 4), and get 43, which is D.

Which pair of polygons is congruent?

Answers

Answer:

C

Step-by-step explanation:

Polygon 3 and 5 are congruent cause they have the same length of side

The plot below shows the amount of time Mira spent on maths questions. If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n = 5[/tex] --- number of questions

Required

The time spent on each question

The question has missing details, as the required plot to calculate the total time is not given.

However, the formula to use is as follows

[tex]Each = \frac{Total}{n}[/tex]

Substitute 5 for n

[tex]Each = \frac{Total}{5}[/tex]

Assume the calculated total time is 60 minutes; The equation becomes

[tex]Each = \frac{60}{5}[/tex]

[tex]Each = 12\ mins[/tex]

Answer:

9 minutes

Step-by-step explanation:

I got it wrong from the other guy so i put get help and that's the Awnser LOL

Which of the following is a monomial?

Answers

9/x and 20x⁹ are the monomials.

The correct option A and D.

What is a polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

A monomial is a polynomial with just one term.

From the given choices:

9/x and 20x⁹ are the monomials.

11x - 9 and 20x⁹ -7x are the binomial.

Therefore, A and D are the monomials.

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ1

Combine and simplify these radicals.




Answers

Answer:

4 sqrt(3)

Step-by-step explanation:

sqrt(3) * sqrt(16)

sqrt(3) *4

4 sqrt(3)

Answer: d

Step-by-step explanation: I took the test

Find the amount and the compound interest on rupees 5000 for 2 years at 6% per annum, Interest payable yearly. Answer with full steps and formula NO BAD ANSWERS REQUIRED :D

Answers

Answer:

I. Amount = 5618 Rupees

II. Compound interest = 618 Rupees

Step-by-step explanation:

Given the following data;Principal = 5000 RupeesTime = 2 yearsInterest rate = 6%

To find the compound interest;

Mathematically, compound interest is calculated using the formula;

A = P(1 + r)^t

Where;

A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.

Substituting into the formula, we have;

A = 5000(1 + 0.06)^2

A = 5000(1.06)^2

A = 5000 * 1.1236

A = 5618 Rupees

Next, we would determine the compound interest using the formula;

C.I = A - P

C.I = 5618 - 5000

Compound interest (C.I) = 618 Rupees

if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times

Answers

I think the answer is $65

Answer:

65

Step-by-step explanation:

1=5

13=x

1x=5x13

1x=65

divide both sides by 1

x=65

The chart shows pricing and payment options for two big-ticket items.
If someone were unable to pay cash right now, which financing option would be best for the laptop and for the refrigerator?
a. rent-to-own; installment
b. installment; rent-to-own
c. rent-to-own; rent-to-own
d. save up and pay cash

Answers

It’s letter c so rent to own , rent to own I hope you have a great day

Answer:its C rent-to-own ; rent-to-own

Step-by-step explanation:

I got a 100 on my test

Using the following equation, find the center and radius:

x2 + 2x + y2 + 4y = 20

Answers

Answer:

centre = (- 1, - 2 ) , radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 2x + y² + 4y = 20

To obtain equation in standard form use method of completing the square

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(2)y + 4 = 20 + 1 + 4

(x + 1)² + (y + 2)² = 25 = 5² ← in standard form

with centre = (- 1, - 2 ) and r = 5

Center - ( -1, -2)
Radius -5



YOUR WELCOME:)))

Need help ASAP with this question please

Answers

Answer:

4th option, 5 5/6

Step-by-step explanation:

8 1/2 - 2 2/3

= 17/2 - 8/3

= (51-16)/6

= 35/6

= 5 5/6

Answered by GAUTHMATH

Find the slope of the line that passes through (26, 15) and (1, 86).

Answers

Answer:

-71/25

Step-by-step explanation:

We can use the slope formula when given two points

m = (y2-y1)/(x2-x1)

m = (86-15)/(1 -26)

   = 71/-25

  = -71/25

Answer:

[tex]\displaystyle m = \frac{-71}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (26, 15)

Point (1, 86)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{71}{-25}[/tex]

Could someone please help me out?

Answers

Answer:

4.5

Step-by-step explanation:

let,

k×9²=300

k = 300/81

or, k = 100/27

as two triangles are similar,

if smaller triangle's corresponding side is x (let), then,

kx²=75

100x²/27=75

x²=75×27/100

x=√81/4

x=9/2

x=4.5

plsssssssssssssss help meeee

Answers

Answer:

64 vs. 4 so 60 extra people

Step-by-step explanation:

Answer:

I think 60 more people

Step-by-step explanation:

You just plug in p for period 4 and period 2 then solve for N. Then it's asking for how many more in pd 4 then 2 which is 60, I think..

Question in the picture​

Answers

Answer:

-4m/s²

Step-by-step explanation:

Given Equation of velocity :-

v = 6t² - 4t - 2

Differenciation of first order will give acclⁿ :-

v = 6t² - 4t -2 dv/dt = d(6t² - 4t -2)/dt dv/dt = 2*6 t¹ - 4*1 t⁰ - 0 dv/dt = 12t - 4 a = 12t - 4

At t = 0 ,

a = 12*0 - 4 m/s² a = -4m/s²

Divide 2 divided by 1/2

Answers

Your answer is 4 I hope this help

Answer:

yea it should be 4

Step-by-step explanation:

all you doing is dividing

A group has more than $120 to spend. The inequality 5x + 20 > 120 represents the cost to rent a hall for a conference, where x represents the number of hours the group can rent the hall. Which of the following is the solution for this situation?

Answers

Answer:

x>20

Step-by-step explanation:

You want to try and get the x alone so

5x + 20 > 120

     -20     -20  Subtract 20 from each side

5x        > 100

5x/5    > 100/5 Divide 5 from each side

       x  > 20

Can someone please help me with this

Answers

Answer:

8.5 km

Step-by-step explanation:

The distance is given by sqrt(8^2+3^2)=sqrt(64+9)=sqrt(73)=8.5 km

What is the length of BD?

Answers

Answer:

BD = 10 √3

Step-by-step explanation:

ABC ∆ ,

BD ÷ 20 = sin 60

BD = 20 sin 60

BD = (20 √3) / 2

= 10 √3

Find the length of BW
A.132.59
B.134.24
C.21.26
D.3.33

Answers

Answer:

BW = 132.59

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 9 = 21 / BW

BW tan 9 = 21

BW = 21/ tan 9

BW = 132.5887818

BW = 132.59

Answer:

Step-by-step explanation:

Side BW is the height, aka as the side adjacent to the reference angle of 9 degrees. We have the side opposite the reference angle (21) and we are looking for the side adjacent to the reference angle. The trig ratio that we use for this, the one that relates the sides opposite and adjacent, is the tangent ratio, namely:

[tex]tan(9)=\frac{21}{BW}[/tex] and solving for BW:

[tex]BW=\frac{21}{tan(9)}[/tex] so

BW = 132.59

Square Root of 9801
With Steps Please

Answers

Answer:

99

Step-by-step explanation:

First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.

Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book

Answers

Answer:

72/8=9 im not sure which it is asking for

Step-by-step explanation:

we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.

Answer:

9 pages of stickers

Step-by-step explanation:

72 / 8 = 9 pages of stickers

help pls due in 3hrs

Answers

9514 1404 393

Answer:

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor. Here, every coordinate of the original image is multiplied by 1/2 to form the "enlargement." Since the scale factor is less than 1, the "enlarged" image will be smaller and closer to the origin.

The coordinates, clockwise from upper left, are ...

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

Please help explanation if possible

Answers

Answer:

45

Step-by-step explanation:

a44 = 2 + (43 × 1) = 2 + 43 = 45

Please Help I don't get this

Answers

Answer:

The choose (D)

Step-by-step explanation:

[tex] \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]

Which expression is equivalent to (3^2)^-2

Answers

Answer:

1/3^4

1/81

Step-by-step explanation:

(3^2)^-2

We know that a^b^c = a^(b*c)

3 ^(2*-2)

3^-4

We know that a^-b = 1/a^b

1/3^4

1/81

1 3/4 because (3^2) ^-2 that is the answer

Which are corresponding pairs​

Answers

Answer:

pandn

Step-by-step explanation:

jsubeuodoqok1kwnebhxhhw

emdndiiwjwkd

d

ddnjd

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