Find the mean absolute deviation, variance, and
standard deviation for the data set showing the price of
six different jars of pasta sauce at the grocery store:
{$2.79, $1.99, $4.29, $2.49, $2.29, $3.49}
Answers
If the mean of the data is 2.89, then the mean absolute deviation, variance, and standard deviation will be 0.67, 0.61, and 0.78 respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
The data set is given below.
{$2.79, $1.99, $4.29, $2.49, $2.29, $3.49}
Then the mean value of the data will be
[tex]\mu = \dfrac{{2.79+ 1.99+ 4.29+ 2.49+ 2.29+ 3.49}}{6} \\\\\mu = \$ 2.89[/tex]
Then the mean absolute deviation will be
[tex]\rm MAD = \dfrac{1}{N} \Sigma _{i=1}^N |x_i - \mu|\\\\MAD = \dfrac{1}{6} (|2.79 - 2.89| + |1.99-2.89| + ... +|3.49-2.89|)\\\\MAD = 0.6667 \approx 0.67[/tex]
Then the standard deviation will be
[tex]\rm \sigma = \sqrt{\dfrac{\Sigma _{i=1}^N (x_i - \mu)^2}{N} }\\\\\sigma = \sqrt{\dfrac{(2.79-2.89)^2 + (1.99 - 2.89)^2 + .... + (3.49 - 2.89)^2}{6}}\\\\\sigma = \sqrt{0.61}\\\\\sigma = 0.78[/tex]
Then the variance will be
[tex]\sigma ^2 = (\sqrt{0.61})^2\\\\\sigma ^2 =0.61[/tex]
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Related Questions
2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function, then find the population of the school after 9 years.
Answers
Answer:
1.) y=800e^(0.02t)
2.) 957.76 (or 958 if rounding up is required)
Step-by-step explanation:
1.) Since the increase is in years and our time is in years, we can use the function y=Pe^(rt) where P is our beginning value, r is rate (as a decimal) and t is time. Substitute the values P=800, r=0.02 to get y=800e^(0.02)t.
2.) Solving the equation above, we substitute t for 9, we get:
Y=800e^(0.02*9)
Y=800e^(0.18)
Y=800*(1.1972)
Y=957.76
Since it asks for population, you may or may not need to round to 958.
What is the solution to the system of equations below?
y = negative 3 x + 5 and y = 4 x minus 2
Answers
Answer:
(1, 2)
Step-by-step explanation:
Since we are finding a solution that matches both equations, y = -3x + 5 is equal to y = 4x - 2.
So -3x + 5 = 4x - 2
Then group terms like so by moving them to the other side:
5 + 2 = 4x + 3x
7 = 7x.
Therefore x = 1.
Now to find y we substitue the value of x into an equation that contains y:
Y = 4x - 2
{x = 1}
Y = 4 - 2
Y = 2
Therefore the solution is (1, 2)
Use the Pythagorean theorem to find x. Enter the answer in simplified form.
Need help ASAP!
Answers
Answer:
x=13.855
hope i was able to help you
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student who has a cat also has a dog?
Answers
Answer:
14/30
Step-by-step explanation:
A triangle with a height of 12in.²has an area of 36 in.² how long is the base of the triangle
Answers
Answer: 6
Step-by-step explanation:
Area = ½base × height
36 = ½b × 12
½b = 36/12 =3
Base = 3× 2
Answer:
[tex]6in.^{2}[/tex]Step-by-step explanation:
To find the area we need to multiply length*height.
Because a triangle is half of a square we need to divide the area by two.
12*6=72
72/2= 36
A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that. what are the first four terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?
Answers
$17
17+11 = $28
28+11 = $39
39+11 = $50
17 + 11(n-1) $$
n-1 because removes the first class of $17
Aj has dollers in her account she spends $35. 31 if the balance in her account is $161. 23 what was the amount in her account before her purchase
Answers
simplify each of the following fractions :
25
__
30
Answers
Answer:
25 / 30 = 5 / 6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
How to graph 14x+18y=126
Answers
We need to rearrange this into [tex]y=my+c[/tex]Subtract 14x from both sides[tex]18y=-14x+126[/tex]Divide both sides by 2[tex]9y=-7x+63[/tex]Divide both sides by 9[tex]y=\frac{-7x+63}{9}=\frac{-7x}{9} +\frac{63}{9}[/tex]Plot the point (0, 63/9)Then pick some x values and put them into the equation to find the respective y valuesThen plot those pointsFinally join up those points
Find m < A
inscribed angles and arcs
Answers
Answer:
110°. b. b.
Step-by-step explanation:
..............
What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want.
Answers
Answer:
This question kind of illogical, if it's a one before the other kind.
Explanation:
Computer scince priniples, especially AP, will most likely involve some equations and potential coding. Most of the numbers and coding will most likely involve some level of calc. Even if they didn't, this class indicates that you most likely wish to get into a form of computer science as a career, perhaps computer animation or engineering. Regardless of the path, some understanding of calculus would be immensly helpful in the future if not now. At the end of the day, it really is your call and not some people on a homework helping site, but I would choose precalc.
Note: Im not you, I don't know what you want in life, i'm just guessing here. Regardless, I believe you'll make the best descision my friend :).
Find the center of the circle given by this equation:
Answers
Answer:
center is (5,3)
Step-by-step explanation:
[tex]x {}^{2} - 10x + y {}^{2} - 6y - 30 = 0 \\ x {}^{2} - 10x + y {}^{2} - 6y = 30 \\ add \: \: \: 25 \: \: and \: \: 9 \: oneach \: side \: to \: make \: perfect \: square \\ x {}^{2} - 10x + 2 + y {}^{2} - 6y + 9 = 25 + 30 + 9 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 64 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 8 {}^{2} [/tex]
what is the fastest 10 km in 0.5h or 15 km in 1h ( PLS HELP ) :(
Answers
20 is greater than 15.
Please mark as best!
5. List three numbers that have square roots that are whole numbers greater than 12.
Answers
Answer:
169, 196, and 225
Step-by-step explanation:
the square root of them is as follows:
[tex]\sqrt{169}[/tex] = 13
[tex]\sqrt{196}[/tex] = 14
[tex]\sqrt{225}[/tex] = 15
to come to this conclusion, you have to square whole numbers above 12.
help asap its for my sis mathh
Answers
Answer:
The expression is:
[tex](5*6.50)+(3*24)-12=t[/tex]
The total Bella paid is:
$92.50
Step-by-step explanation:
5 shirts at $6.50 each
3 pairs of pants at $24.00 each
12 dollar discount
Let "t" be the total Bella paid.
[tex](5*6.50)+(3*24)-12=t[/tex]
[tex](32.50)+(3*24)-12=t[/tex]
[tex](32.50)+(72)-12=t[/tex]
[tex]32.50+72-12=t[/tex]
[tex]104.5-12=t[/tex]
[tex]92.5=t[/tex]
By referring to the vertices state the angle highlighted in blue.
Answers
Answer:
∠C
Step-by-step explanation:
The angle in blue has C as its vertex.
Vertex is a point where 2 rays intersect to form an angle.
________
Hope it helps ⚜
Simplify: 5x( 3 - 12x )-3(4- 20x^2 )
Answers
Answer: 3(5x - 4)
Step-by-step explanation: You first renarange your terms. Then you distribute them. Then you combine the the like terms. Then you find the common factor by factoring by group.
is the following a statistical question? How many quarts are in a gallon?
yes or no
Answers
Answer:
No
Step-by-step explanation:
A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.
ILL MAKE BRAINLIEST AND ITS 50 POINTS
The function
p(w)=230(1.1)
represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.
Answers
Answer: Is In The Explanation
Step-by-step explanation: For the answer to the question above,
A) You just fill in 0 for w in the problem and anything raised to the power of 0 is 1, so 230(1) is 230, and that is the old factory and at 0 for the new, it is at 190. Subtract then explain why you did what you did.
B) I believe what they are asking for you to do, is you can take each week from the new factory and subtract it and find the equation for the new factory, you already know the growth rate for the old factory= 230(1.1)^w.
C) You take your old factory's equation and plug in numbers until one of them is greater at the new factory.
Brandi created the circle graph below to
show the percentage of her monthly
5 The
allowance she allocates in different ways.
of cat
Allowance
Clothes
40%
Food
Books
Savings
15%
35%
Brandi allocates $20
each month to clothes.
Based on the information in the circle graph,
what must Brandi's total monthly allowance
equal?
F $50
G $40
H $60
J $90
7.6G
Answers
Based on the information in the circle graph, Brandi's total monthly allowance is equal to $50.
What is the total monthly allowance?A circle graph is used to represent information in a circle. The circle is divided into different section to represent the magnitude of each grouping.
Total allowance = amount allocated to clothes / percentage of circle graph that is allocated to clothes
$20 / 0.40 = $50
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meg made 3 gallons of lemonade for a group of campers. if each camper gets 1 cup of lemonade, how many campers can have lemonade?
A. 16
B. 26
C. 48
D. 60
Answers
Answer:
C
Step-by-step explanation:
1 gallon = 16 cups
3 gallons = 48 cups if each camper gets one cup of lemonade, it can serve 48 campers.
3 x 16 = 48, so 48 campers can have lemonade :D
the answer is C)
hope this helps :)
5 I bought 5 boxes of
crackers using a
coupon for 20% off. My
total bill was $6. What was
the original price of one
box of the crackers?
Answers
Answer:
1.20 x .2 which is the percent is $6. so the answer is $1.20
The original price of one box of crackers was $1.5 as per the concept of percentage.
Let's assume the original price of one box of crackers is "x" dollars.
After applying the 20% off coupon, you paid 80% of the original price for each box.
So, the discounted price of one box of crackers is 0.8x dollars.
Since you bought 5 boxes of crackers at the discounted price, the total bill becomes:
Total bill = 5 × 0.8x
Total bill = 4x dollars
Given that the total bill was $6, we can set up the equation:
4x = 6
Now, we solve for "x":
x = 6 / 4
x = 1.5
So, the original price of one box of crackers was $1.5. Before the discount, each box cost $1.5, but with the 20% off coupon, you paid 80% of the original price, which resulted in a total bill of $6 for 5 boxes.
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2. Two newspapers are comparing sales for last year.
● The Post sold 34,859 copies.
●
The Tribune sold two-and-a-half times as
many as the Post.
Write an equation that compares the number of
newspapers sold.
Answers
Answer:
t= 2.5P
Step-by-step explanation:
tribune= 2.5 x post
What information about the houses that is not shown in this data could affect housing prices? check all of the boxes that apply. the location of the houses the size of the houses the selling prices the conditions of the houses the value of the houses relative to other homes in the same area
Answers
The information about the houses that could affect housing prices are;
location...size...the conditions... value of the...What is price?prices serves as the amount of money expected or required for a payment of a value given.
Therefore, from base on the meaning of prices from economics, value of the houses relative to other homes in the same area can affect the price.
Learn more about prices at;
https://brainly.com/question/19104371
Answer:
Step-by-step explanation:
A B D E
Just did it on Edge!!!!
PLEASEEEE HELP MEEE
Matching equations with diagrams & finding unknown ancies
is on line WY. Find the value of b.
Which equation(s) and angemeurerents go with the
diagram. Choose ALL that apply
(Select all that apply.)
Answers
Which of the following is not a change steve should make to the contract before he signs it? a. steve needs to increase the total cost from $300.00 to $500.00. b. steve needs a clause about the cost of rental equipment as janice’s responsibility. c. steve needs a clause about his hourly rate, regardless of the time it takes to finish the job. d. steve needs to remove the total cost of $300.00 in case the job takes longer than originally expected.
Answers
Answer:
I believe its a: steve needs to increase the total cost from $300.00 to $500.00.
Step-by-step explanation:
A circle has a diameter of 12 inches what is the best approximation of its area use 3. 14 to approximate for pie
Answers
Answer:
113.04 square inches
Step-by-step explanation:
The diameter of the circle is 12 inches, so the radius is (1/2) * 12 = 6 inches. The area of this circle is approximately 3.14(6^2) = 3.14 * 36 = 113.04 square inches.
if the sum of a number and seven is doubled, the result is eight less than the number. Find the number
Answers
Answer: -18
Step-by-step explanation:
Let the number be represented by x.
If the sum of a number and seven is doubled, the result is four less than the number. The expression would be
2(x + 7) = x - 4
We would open the bracket on the left hand side of the equation by multiplying each term inside the bracket by 2. It becomes
2x + 14 = x - 4
Subtracting 14 and x from the left hand side and the right hand side of the equation, it becomes
2x + 14 - 14 - x =x - x - 4 - 14
x = - 18
Answer:
-22
Step-by-step explanation:
The result is eight less than the number means that
the result = number - 8
( x + 7 ) * 2 = x - 8
=> 2x + 14 = x - 8
=> x = -22
Isabella invited some friends to her birthday party, but a few weren't able to attend. Of the friends she invited, 8 attended. That was 80% of the friends she invited. Shade the grid to show the percent of invited friends who attended the party. How many total friends did Isabella invite? You can use your model to help.
Answers
Answer:
80% or like 8 squares out of 10 oe=r 4 out of 5 ect
Step-by-step explanation:
Answer:
20 total friends
Step-by-step explanation: built different
The radius of Circle A is 3 in. The radius of Circle B is 3 in. greater than the radius of
Circle A. The radius of Circle C is 3 in. greater than the radius of Circle B. The radius of Circle D is
2 in. less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is __in. 2
Answers
Answer:
Area of A: 9pi
5.4 Times greater
Step-by-step explanation:
Circle A Radius: 3
B Radius: 3+A (6 total)
C Radius: 3+B (9 total)
D Radius: C-2 (7 total)
Area of each Circle using formul pi*radius²
A: 9pi
B: 36pi
C: 81pi
D: 49pi
49/9 = 5.4 Circle D is 5.4 times greater then A