Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are represented by the dot plots. The mean absolute deviation for brand A is . The mean absolute deviation for brand B is . The mean absolute deviations for the two brands similar.
Answers
The following conclusion is reached concerning the results represented by the dot plots:
The Mean Absolute Deviation for brand A is: 2.02 The Mean Absolute Deviation for brand A is: 1.905 The Mean Absolute Deviation for the two brands ARE similar.What is the Mean Absolute Deviation?The mean absolute deviation is a test of variability of a data set which is the average distance between each of the data point in the data set and the mean.
Find the mean absolute deviation for each dot plots.
Mean Absolute Deviation for Brand A:
The points are, 1,1,2,2,2,3,4,4,5,5,5,5,6,6,7,7,8,8,8,9
Mean = (1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9)/20 = 98/20
Mean = 4.9
Mean Absolute Deviation = [(1 - 4.9) + (1 - 4.9) + (2 - 4.9) + (2 - 4.9) + (2 - 4.9) + (3 - 4.9) + (4 - 4.9) + (4 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (6 - 4.9) + (6 - 4.9) + (7 - 4.9) + (7 - 4.9) + (8 - 4.9) + (8 - 4.9) + (8 - 4.9) + (9 - 4.9)] / 20
= [(3.9) + (3.9) + (2.9) + (2.9) + (2.9) + (1.9) + (0.9) + (0.9) + (0.1) + (0.1) + (0.1) + (0.1) + (1.1) + (1.1) + (2.1) + (2.1) + (3.1) + (3.1) + (3.1) + (4.1)] / 20
= 40.4/20
Mean Absolute Deviation for brand A = 2.02
Mean Absolute Deviation for Brand B:
The points are, 1,3,3,4,4,4,4,4,5,5,5,6,6,6,6,8,8,9,10,10
Mean = (1 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 8 + 8 + 9 + 10 + 10)/20
Mean = 111/20 = 5.55
Mean Absolute Deviation = [(1 - 5.55) + (3 - 5.55) + (3 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (5 - 5.55) + (5 - 5.55) + (5 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (8 - 5.55) + (8 - 5.55) + (9 - 5.55) + (10 - 5.55) + (10 - 5.55)] / 20
Mean Absolute Deviation = 38.1/20
Mean Absolute Deviation for brand B = 1.905
Therefore, the following conclusion is reached concerning the results represented by the dot plots:
The Mean Absolute Deviation for brand A is: 2.02 The Mean Absolute Deviation for brand A is: 1.905 The Mean Absolute Deviation for the two brands ARE similar.Learn more about mean absolute deviation on:
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Related Questions
Help please! And can you show step by step work
Answers
Answer:
2.1134 liters
Step-by-step explanation:
There are 4 quarts in a gallon and each quart is 1.0567 liters. 2 quarts are 1/2 a gallon. 1.0567*2=2.1134
9514 1404 393
Answer:
2. 1.8927 L
3. 603.22 cm²
Step-by-step explanation:
To convert units, multiply by a ratio whose value is 1. That is, the numerator and denominator are equal amounts, but have units that cancel ones you don't want and give you units you do want.
2.
[tex]\displaystyle \frac{1}{2}\text{ gal}\times\frac{4\text{ qt}}{1\text{ gal}}\times\frac{1\text{ L}}{1.0567\text{ qt}}=\frac{4}{2\times1.0567}\text{ L}\approx\boxed{1.8927\text{ L}}[/tex]
__
3.
[tex]A=LW=(8.5\text{ in})(11\text{ in})\times\left(\dfrac{2.54\text{ cm}}{1\text{ in}}\right)^2=\boxed{603.2246\text{ cm}^2}[/tex]
_____
Additional comment
It can be helpful to remember that a liter is larger than a quart. So 2 quarts will be less than 2 liters. (You may recall reading on the half-gallon container that it holds 1.89 L.)
This is Adeles solution for the equation x^2+8x- 9 = 0 Step 1 x^2 +8x = 9 Step 2 x^2 +8x + 16 = 9 + 16 Step 3 ( x + 4 ) ^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. 2. Which would be the best method to use to solve the following equation. Explain your reasoning. A x^2 - 49 = 0 B. x^2 - 3x - 4 = 0 C. x^2 - 2x - 6 = 0
Answers
Answer:
Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9
Step-by-step explanation:
Equation : x² + 8x - 9 = 0
Step 1 : x² + 8x = 9
Step 2 : x² + 8x + 16 = 9 + 16
Step 3 : ( x + 4 )² = 25
Step 4 : x + 4 = 25 or x + 4 = - 25
Step 5 : x = 21 or x = - 29.
What is the answer, 15 points
9-3 ÷ 1/3+1=
Answers
Answer:
i think the answer to this is 9
Answer:
1
Step-by-step explanation:
The answer is just one bro
- Max can read about 150 words per minute. Unfortunately for Max, he has waited until
this weekend to do all his reading. The book he has to read is 310 pages long. If a typical
paperback has about 350 words per page, how many hours should he set aside for this
reading?
A. 12 days
B. 12 hours
C. 72.3 days
D. 610 hours
Answers
Answer:
B) 12 hours
Explanation
Max can read 150 words per minute. 350 words per page divided by 150 is 2.333, so max can read 1 page in around 2 minutes. There are 310 pages. 2.333 * 310 is around 723. 723 minutes converted to hours is 12 hours. Boom. Done.
Find the AC
47in
14in
26in
7in
Answers
Answer: need more of an explanation
Step-by-step explanation:
Answer:
26 in.
Step-by-step explanation:
Since angles A and C are congruent, sides BC and BA are congruent.
7x - 13 = x + 29
6x = 42
x = 7
AC = 3x + 5
AC = 3(7) + 5
AC = 21 + 5
AC = 26
Answer: 26 in.
what is the value of X in log 2 (x)-3=1
Answers
It means that:
2^1 = x-3
2=x-3 |+3 to both sides
2+3=x
x=5
If i did it right.
2x2=4
4-3=1
Hey, I have some algebra questions, I need to complete for tomorrow. One of them is: Simplify 4a + 12a.
Answers
Answer:
16a
Step-by-step explanation:
4a+12a=16a since they are the same variables.
help with math please:)))))
Answers
Answer:
63 un²
Step-by-step explanation
Formula for Triangle = 1/2(b*h)
------------------------------------------------------------
Lets input our numbers
b(base) = 21
h(height) = 6
------------------------------------------------------------
Lets multiply
1/2(6 x 21) =
1/2(126) = 63
Now add the units
63 un²
Sam buys
2 boxes of eggs costing £1.30 each
1 bottle of juice costing £2.60
3 baguettes
He pays with a £10 note and gets a 90p change.
Sam works out the cost of one baguette as £1.70
Is he correct?
You must show your working out.
Answers
Answer:
He is wrong
Step-by-step explanation:
£1.30(cost of 1 egg box) x 2=£2.60
2.60(2 egg boxes)+2.60(price of juice)=£5.20(amount spent without baguettes)
10-5.20(amount spent without baguettes)=£4.80
4.80/3=£1.60
£1.60=cost of one baguette
Sam is wrong as the cost of one baguette is £1.60
Which expression is NOT equivalent to the expression 8m + 12?
A - 1/2 (16m + 24)
B - 4 (2m + 3)
C - 2 (4m + 6)
D - 8 (m +12)
Answers
Answer:
D
Step-by-step explanation:
Use the drawing tool(s) to form the correct answers on the provided graph. In the given equation, y is a function of x. Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.
Answers
Answer:
Here is the graph of y is a function of x.
Select the correct answer.
What is the value of g(-4)?
Answers
Answer:
C. 1
Step-by-step explanation:
Use the first one since it is -4 so [tex]\sqrt[3]{-4+5} = \sqrt[3]{1} = 1[/tex]
Answer:
c. 1
Step-by-step explanation:
The table represents a linear function
Answers
Answer:
the answer is: False
Please help I’m struggling
Answers
Answer:
y=3x+19
Step-by-step explanation:
x=3
(-4,7)(x,y)
y-7/x_-4=3
y-7=3(x+4)
y=3x+12+7
y=3x+19
Step-by-step explanation:
here you have the answer
Find the value of x
Please help
Answers
Answer:
128 degrees
Step-by-step explanation:
360-90-90-52=128
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track,
24 people use the gym and the track.
9 people use all three facilities,
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?
Answers
Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
A bug ran along the number line from -5 to 23. What distance did it cover? If the whole run took the bug 4 minutes, what was its average speed?
Answers
Answer:
28 units and 7 units per minute.
Step-by-step explanation:
So if it's a negative number like -5 with a positive number, you have to add.
It would be like ( 5 + 23 ) = 28.
Since it took the bug 4 minutes, divide 28 ÷ 4.
28 ÷ 4 is 7 units per minute.
Sorry if it's wrong...
2
Which equation best describes the graph? Please don’t just put anything down for points
8
6
2
-2
2
6
8
-2
1
6
-
A y = 3x + 2
C y = -3x + 2
B
D
ly= 3x + 2
y =
= -x + Ź
Answers
Answer:
C
Step-by-step explanation:
Juanita's rectangle measures 3 1/2 units by 2 1/3 units. what is the area
Answers
Answer:
8 and 1/6 units²
Step-by-step explanation:
In a race, 22 out of the 25 bicyclists finished in less than 56 minutes. What percent of bicyclists finished the race in less than 56 minutes? Write an equivalent fraction to find the percent. 22 x % % 25 x 100
Answers
Answer:
uhhm uh i think its uh.. a carrot :/
Step-by-step explanation:
Answer:
88%
Step-by-step explanation:
22/25 × 4/4 = 88/100 = 88%
Someone help me with these two questions yuh 20 points
Answers
Answer:
option b is your answer. look it once
M is the centroid of the triangle.
CM=7, PM=10, & BQ=18
M
AM=[?]
Is it 6?
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Write the following rate as a simplified fraction 76 dogs to 48 cat
Answers
Answer:
Do u mean like 19/12
Step-by-step explanation:
Like 76/48 it will be 19/12
Hope I helped u!!
19/12 is the fraction which is represented by rate of 76 dogs to 48 cat.
To write the given rate, "76 dogs to 48 cats," as a simplified fraction, you need to express the number of dogs as the numerator and the number of cats as the denominator.
Therefore, the simplified fraction is:
76/48
To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:
(76 ÷ 4) / (48 ÷ 4)
= 19/12
Hence, 19/12 is the fraction which is represented by rate of 76 dogs to 48 cat.
To learn more on Fractions click:
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PLEASE HELP ME........
Answers
Answer:
d
Step-by-step explanation:
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 31 feet, and the length of the other base is 24 feet. The height is 14 feet. What is the area of this section of the deck?
Answers
Area of a trapezoid= (big base+small base)/2 x height
A=(67+54)/2 x 18
A=60.5 x 18
A=1089
which is the best estimate of 2/5 + 1/7?
Answers
Answer:
2 / 35
Step-by-step explanation:
Someone help me with all of this I’m confused so pls help me!
Answers
Answer:
i never knew tommy innit needed help with his homework
Step-by-step explanation:
Answer:
Photosynthesis takes place in the chloroplast of plants. Plants use light energy, also known as radiant energy, to change carbon dioxide and water into something new. Radiant energy is changed into chemical energy. Glucose and oxygene (???)
Step-by-step explanation:
I think I did something wrong here.
Good luck <3
What is the area, in sqaure feet, if the rectangle shown below?
Answers
Answer:
D. 32 6/20
Step-by-step explanation:
6 4/5 ×4 3/4
=
34/5× 19/4
=
34× 19
5 4
=
646
20
=
646 ÷ 2
20 ÷ 2
=
323
10
=
32 3/10- which then is equal to 32 6/20 (If we multiply 3/10 by 2 we get 6/20)
Which equation describes the asymptote of the exponential function represented by this graph?
A. Y= 3
B. Y= -3
C. X= -3
D. X= 3
Answers
Y= 3
Just did my test and got it correct
The correct equation describes the asymptote of the exponential function represented by this graph is,
⇒ y = 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, The exponential function of the type,
⇒ y = a (bˣ) + c
Which has the horizontal asymptote at y = c.
Hence, From the given graph, we can see that as x tends to positive infinity, Thus, the curve tends to;
⇒ y = 3
Thus, The correct equation describes the asymptote of the exponential function represented by this graph is,
⇒ y = 3
Learn more about the mathematical expression visit:
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Help please as soon as possible please and thank you :)
Answers
Answer:
A=[tex]\pi[/tex]r²
A=[tex]\pi[/tex]100
A=314.159
2 slices = 1/4
1/4x314.159=78.5399 centimters squared.
Paragraph:
Firstly, the question has an error. It says that the personal pan pizza is 80 cm³. It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r². Since the diameter is 20, the radius is 10, and the area ends up being 314.159. Two slices is 1/4 of the diameter, or 0.25. Multiply 314.159x0.25, and. You get 78.5399 square centimeters. This is just under the 80 that he is allowing himself, so he has made the correct choice.
Step-by-step explanation:
A=[tex]\pi[/tex]r²
A=[tex]\pi[/tex]100
A=314.159
2 slices = 1/4
1/4x314.159=78.5399 centimters squared.
Paragraph:
Firstly, the question has an error. It says that the personal pan pizza is 80 cm³. It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r². Since the diameter is 20, the radius is 10, and the area ends up being 314.159. Two slices is 1/4 of the diameter, or 0.25. Multiply 314.159x0.25, and. You get 78.5399 square centimeters. This is just under the 80 that he is allowing himself, so he has made the correct choice.