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:
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,
Related Questions
0.737 ___ 0.708
0.708 > 0.737
0.737 = 0.708
0.737 < 0.708
0.737 > 0.708
Answers
Answer:
0.737>0.708
Step-by-step explanation:
it must me d because 0.737 is greater than 0.708 and it's the only true Statement
Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?
I really need help with this!
Answers
Answer:
the second bottle
Step-by-step explanation:
To get the amount it costs per ounce, divide the amount of money by the number of ounces.
A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.
therefore, the 16 ounce bottle is cheaper per ounce
If a cube has a volume of 1 cubic unit, how long is one of its edges?
Answers
Answer:
Step-by-step explanation:
If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.
Someone please help this is soooooo hard
Answers
Step-by-step explanation:
1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then
2. QS=10*2-7=14;
3. SR=5*2+3=13;
4. m(∠PSR)=15*2+42=72°;
5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.
Here ya go bestie. Your favorite :D
Answers
Answer:
the answer is d
Step-by-step explanation:
22. A company's stock price dropped $10 a week for one year. How much will it have decreased by the end of the year?
Answers
Answer one question. Thanks
Answers
Simply identify the y-intercept by looking at where the line crosses the y-axis. Or by looking at the equation (in y=mx+b form), the b term is the y-intercept.
Plzzzzz plzzzzzzz help meeee
Answers
Answer:
Its correct
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
25 Points!! :D
Complete the interphase part of the data from your data table.
Answers
Answer: you should have gotten a pic that shows all the cells phases just count the interphase ones however in the interphase cells spend 90% of its life cycle in this phase
Choose the point-slope form of the equation below that
epresents the line that passes through the points (-6, 4) and (2,
0). (2 points)
•y -4= - 1/2 (x+6)
•y-4= 2(x+6)
•y+6= - 1/2(x-4)
•y+6= 2(x-4)
Answers
Answer:
A) y-4=-1/2(x+6)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-4)/(2-(-6))
m=-4/(2+6)
m=-4/8
simplify
m=-1/2
y-y1=m(x-x1)
y-4=-1/2(x-(-6))
y-4=-1/2(x+6)
Felicia is a long-distance runner. She is able to run the first 2 hours of a training run at a certain rate. The rate at which she runs after her first 2 hours decreases for the remainder of her training run. On Monday, Felicia runs x hours, where x≥2. The average rate at which Felicia runs for the entire training run is represented by 13+6(x−2)x. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete each statement.
Answers
Answer:
total distance of Felicia's training run
first two hours x = 2....so we have
[ 13 + 6(2 - 2) ] / 2 = 13 / 2 = distance / rate = = 6.5 mph ⇒ "c"
distance covered in 4 hrs =
[13 + 6( 4 - 2) ] = 13 + 6(2) = 13 + 12 = 25 miles
But she ran 13 miles the first two hours
So....she must run 12 miles the last two hours ⇒ "c"
Please someone help meee! It’s advanced algebra
Answers
Answer: I think it would be 80 feet I hole I’m correct.
Step-by-step explanation: So to explain 20 + 50 is 80 and that’s how I got the answer I am not 100% sure but I wanted to help you :-)
The difference of x and 15 is 62. Solve for x
Answers
Answer:
x is either 77 or -47
Step-by-step explanation:
Answer: either 77 or -47
Step-by-step explanation:
HELP 15 PNTS.
IF CORRECT, WILL MARK BRILLIANT
Answers
Answer:
2nd question 4y is a coefficient
Step-by-step explanation:
4y^2 - 18y + 2
4 is the coefficient 18 is also a coefficient, because of the y, 2 is the constant. when a number has a variable, or a letter, it is a coefficient. 4y^2 is a term, 18y is a term, and 7 is a term. 3 terms with a coefficient of 4. i hope you get it right
Solve for xx. Leave your answer in simplest radical form.
Answers
Answer:
x²
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with tthis, and also if it's Substitution or linear combination.
Answers
Answer:
(x, y) = (6, 8) using linear combination
Step-by-step explanation:
The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.
Adding the two equations together gives ...
(2x -y) +(-2x +3y) = (4) +(12)
2y = 16 . . . . . . . . simplify
y = 8 . . . . . . . divide by 2
Substituting for y in the first equation gives ...
2x -8 = 4
x -4 = 2 . . . . . divide by 2
x = 6 . . . . . . . add 4
The solution is (x, y) = (6, 8).
what number is 100`000 more than seven hundred two thousand eight three
Answers
Answer:
802,083
Step-by-step explanation:
one of 50 states is chosen at random. What is the probability of not choosing a state that begins with the letter n?
Answers
Answer:
8 states start with the letter N. Because you’re looking for the amount of states not starting with the letter N, we’ll subtract 8 from 50. Then you’ll put that over the total amount of states. So you should end up with 42/50 which will simplify to 21/25. Hope this helped!
Step-by-step explanation:
please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Joe purchases a tray of 48 flowers to plant in his garden. He plants 3 flowers every minute. He can plant the entire tray in 16 minutes.
When setting up a graph to model how many flowers he plants over time, what would be an appropriate scale for the x-axis (horizontal axis)?
Question 10 options:
0 - 48
0 - 3
16 - 48
0 - 16
Answers
Answer:
B im very sorry if im wrong <3
Step-by-step explanation:
Answer:48
Step-by-step explanation:Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)
y - 36 = -12(x - 1)
y - 36 = -12x + 12
12x + y = 12 + 36
12x + y = 48
Find the value of x in the given figure
Answers
Answer:
32°
Step-by-step explanation:
Its pretty strait forward.
2x + 60° + 3x - 40° = 180°
5x + 20° = 180°
5x = 160°
x = 160°/5
x = 32°
Actually I am from India, Please Mark me as brainliest.....
Select the correct answer.
Which of the four "progressive amendments" gave women the right to vote?
A.
Sixteenth
B.
Seventeenth
C.
Eighteenth
D.
Nineteenth
Answers
1. Find the surface area of the pyramid to the nearest whole number.
12 m
6 m
Answers
step by step explanation below:
Help for points and Ill give brainliest to correct!
Answers
Answer:
D. 3 1/4
Step-by-step explanation:
Answer:
your answer would be D.
Step-by-step explanation:
all you have to do for this equation is subtract the whole numbers to get 3. and then subtract the fractions, you would get 2/8, then you would simplify it and get 1/4.
does anyone know how to do this?
Answers
Answer:
x = 1y = -7Step-by-step explanation:
The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.
After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.
7(2x +3y = -19) ⇒ 14x +21y = -133
2(-7x +2y = -21) ⇒ -14x +4y = -42
Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)
(14x +21y) +(-14x +4y) = (-133) +(-42)
25y = -175 . . . . . . . . simplify
y = -7 . . . . . . . . . . . divide by 25
Substituting this value into the first equation gives ...
2x +3(-7) = -19
2x = 2 . . . . . . . . . add 21
x = 1 . . . . . . . . . divide by 2
The solution is x = 1, y = -7.
_____
Additional comment
The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.
Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.
Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.
What is the point in the line
y-5=2(x+6)
Answers
y - y1 = m(x- x1)
when the equation says -, the number is positive. when the equation says +, the number is negative
in this case the point is (-6,5)
simplify 4 (5x+3)-4x
Answers
Answer:
16x + 12
Step-by-step explanation:
20x + 12 - 4x
20x - 4x = 16x
16x + 12
Answer: 15x + 12
Step-by-step explanation:
(4 x 5x). (4 x 3). (20x - 4x). 15x + 12 is your answer.
The diameter of a circle is 14 in. Find its area in terms of
π
π.
Answers
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
To find radius given diameter, just divide the diameter by 2: [tex]\frac{14}{2}[/tex] 14/2 = 7, so the radius is 7.Step 2: Apply area of circle formula.
The formula to find the area of a circle is πr², where r = radius.Now, plug in the value of r: π(11)².Step 3: Simplify.
π(11)²π(121)121πSince we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answers
Answer:<JGI
Explanation:
Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH
Hope this helps.
The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP I’ll give so much points!
Answers
Answer:
After 20 years, Mrs. Hill is owed $144,000.Step-by-step explanation:
Using PRT/100, we can find the interest Mr. Hill has to pay extra.=> 80000 x 4 x 20/100=> 800 x 4 x 20=> 3200 x 20=> 64000Total amount to pay: $144,000Conclusion:
Therefore, after 20 years, Mrs. Hill is owed:
$144,000.Hoped this helped.
[tex]GeniusUSer[/tex]
Help!!! 100 points! for correct
Answers
Answer:
D)
Step-by-step explanation:
100 - 32 + 24/4 * 2
100 - 32 + 6 * 2
100 - 32 + 12
100 - 32 + 12 = 80
Answer:
your answer would be C.
Step-by-step explanation:
even though it looks like you would do 24/4 you would actually multiply first. you would multiply 4 by 2 and then you would divide and then add and then subtract. You could use PEMDAS here again. since there's no parentheses and no exponents then you multiply and then divide and then go on to add and then subtract.
also sorry for the late response my data didn't want to work because I currently in school
