The mean absolute deviation for the number of hours students practiced the violin is 6.4.
What is the mean absolute deviation?
The average absolute deviation of the collected data set is the average of absolute deviations from a center point of the data set.
Given
Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours.
The given data set is;
45, 38, 52, 58, 42
Mean Deviation = Σ|x − μ|/N.
μ = mean, and N = total number of values
|x − μ| = |45 − 47| = 2
|38− 47| = 9
|52− 47| = 5
|58− 47| = 11
|42− 47| = 5
The mean absolute deviation for the number of hours students practiced the violin is;
[tex]\rm Mean =\dfrac{2+9+5+11+5}{5}\\\\Mean=\dfrac{32}{5}\\\\Mean = 6.4[/tex]
Hence, the mean absolute deviation for the number of hours students practiced the violin is 6.4.
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A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to make, and the cordless model requires 6 hours. The company has only 600 work hours to use in manufacturing each day, and the packaging department can package only 200 trimmers per day. If the company profits for the cord-type model for $36.50 and the cordless model for $109.50, how many of each type should it produce per day to maximize profits?
Answer:
P=$14600The company should produce 100cordless and 100 cord-typeStep-by-step explanation:
This is a linear programming question
let the cordless trimmer be X
and the cord type be Y
the objective function is
maximize
36.50x+109.50y=P
constraints
2X+6Y<=600-----1
X+Y=200-----------2
solve 1 and 2 simultanouesly
mutiply eqn 2 by 2 we have
2x+6y=600-------1
2x+2y=200--------3
subtract the eqns 3 from 1
4y=400
y=100
put y=100 in eqn 2 we have
x+100=200
x=200-100
x=100
36.50x+109.50y=P
36.50(100)+109.50(100)=P
3650+10950=P
P=$14600
The company should produce
100cordless and 100 cord-type
A hundred random household were asked which of the following sports were their favorite? Football (1), Baseball (2), soccer (3), Basketball (4), and other (5), were the only possible responses.
1 2 3 3 1 4 5 3 2 2 4 3 3 2 2 3 1 1 4 1 4 1 4 1 4 1 3 2 2 4 1 2 4 4 1 2 4 1 3 2 2 1 2 4 1 2 1 5 1 1 1 4 4 1 3 4 1 1 2 4 4 4 1 4 2 2 1 1 4 2 5 1 4 1 2 2 3 1 4 1 1 4 4 1 1 3 1 4 5 4 4 1 4 1 3 2 1 5 2 1
UN un NW Sport Frequency Relative Frequency Football (1) Baseball (2) Soccer (3) Basketball (4) Other (5)
Present the data in a Pie Chart and in a histogram (frequency distribution chart)
The histogram and the piechart are graphical ways of representing the relative frequency table of the hundred random household
How to present the data in a pie chart and histogram?Start by placing the data in a relative frequency table
Sport Frequency Relative frequency
Football (1) 35 0.35
Baseball (2) 21 0.21
Soccer (3) 12 0.12
Basketball (4) 27 0.27
Other (5) 5 0.05
Next, we plot the histogram and the piechart using a graphing calculator
See attachment for the diagrams
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Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division. There are 4 people and the total amount is 29.16
Pls help lol
Juan makes $9 per hour at his job. The equation represents how much money he made yesterday. T=9h if Juan make (T) $76.50 yesterday, how many hours did he work?
Answer:
$8.50
Step-by-step explanation:
Set to $76.50:
76.5 = 9h
divide by 9
8.5 = h
He worked 8 and a half hours
A card factory puts 7,000 greeting cards in each shipment. How many greeting cards will there be in 5 shipments?
Answer:
35000
Step-by-step explanation:
multiple the the cards per shipment by the number of shipments
7000x 5
=35000
Answer: Ok I have two ways for this
1. If you mean how many will there be for each shipment: 1,400
If you mean how many will there be for 5 shipments since there is 7,000 each shipment then 35,000
Step-by-step explanation:
1. 7,000 ÷ 5
2. 7,000 x 5
Pls help hw came late and i dont want a detention
Answer:
180
Step-by-step explanation:
they are vertical angles
Answer:
A) 108
B) C virtical opisite angles
Step-by-step explanation:
the math club is having a bike sale to raise money for the regional math tournament.the make a $5 for each cake sold. the booster club gave a $100 donation
Answer:
20 cakes were sold
Step-by-step explanation:
I assume the question is how many cakes did they sell
set up equation
$5 per cake equals $100
5x = 100
divide both sides by 5
5x ÷ 5 = 100 ÷ 5
1x = 20
x = 20
The binomial (x 5) is a factor of x2 8x 15. what is the other factor? (x 3) (x 7) (x 12) (x 13)
The other factor of the polynomial [tex]\rm x^2+8x+15[/tex] is ( x + 3 )
It is given that the polynomial [tex]\rm x^2+8x+15[/tex] has one factor that is [tex]\rm (x+5)[/tex].
It is required to find another factor of the above polynomial.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a polynomial of degree two:
[tex]\rm = x^2+8x+15[/tex]
By using the factorization method we get:
[tex]\rm = x^2+8x+15\\\rm = x^2+3x+5x+15\\\rm = x(x+3)+5(x+3)\\\rm = (x+3)(x+5)\\[/tex]
Thus, the other factor of the polynomial [tex]\rm x^2+8x+15[/tex] is ( x + 3 )
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Answer: (x + 3) or A!
Step-by-step explanation:
have a nice eday.
correct on edge 2023
WILL GIVE BRAINLIST HELLLLLLLLLPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
b) Type one to two paragraphs that describe your models and relate them to the law of
conservation of mass. Your document should:
i. identify the names of the reactants and products in the reaction.
ii. identify the number of molecules that make up the reactants and products.
iii. identify the type and number of atoms in each molecule of the reactants and products.
iv. explain what happens during the chemical reaction.
v. explain how mass is conserved during the chemical reaction
Assignment: Type one to two paragraphs that describe your models and relate them to the law of conservation of mass. Your document should:
Identify the names of the reactants and products in the reaction.
Identify the number of molecules that make up the reactants and products.
Identify the type and number of atoms in each molecule of the reactants and products.
Explain what happens during the chemical reaction.
Explain how mass is conserved during the chemical reaction
The name of the reactant in this reaction is called Calcium Carbonate (CaCO3) and the products in this reaction are Calcium Oxide (CaO) and Carbon Dioxide (CO2). There are 5 atoms total in calcium carbonate: one calcium atom, one carbon atom, and 3 oxygen atoms. In calcium oxide there are 2 atoms total: one calcium atom and one oxygen atom. In carbon dioxide there are 3 atoms total: one carbon and two oxygen atoms. So in the reaction the mass of the products stayed the same because according to the law of conservation, “in a closed or isolated system, matter cannot be created or destroyed. It can change forms but is conserved.” This can be seen in the reaction because no matter was made or destroyed, it was all just rearranged. To further explain, the law of mass conservation in chemistry states that, “in a chemical reaction, the mass of the products equals the mass of the reactants,” which further proves that no matter was created or destroyed, just rearranged. In conclusion, in the reaction the products had the same number of atoms as the reactant because no matter was destroyed or created, simply rearranged to create new products!
A garden table and a bench cost $659 combined. The garden table costs $91 less than the bench. What is the cost of the bench? (Please help)
Answer:
$294
Step-by-step explanation:
Garden table = x
bench = x-91
x + (x-91) = 659
2x = 750
x= 375
375 - 91 = 284
A card shaped like a rectangle has an area of 48 square centimeters. It has a width of 8 centimeters. How long is the card?
Answer:
The card is 6 centimeters long.
Step-by-step explanation:
This is relatively easy. Just divide Area / Width since A = L x W
48 / 8 = 6
Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.
Stephan talked for
minutes.
Answer:
Stephen Talked for 138 minutes.
Step-by-step explanation:
(0.10)m + 10.00 = 23.80 Given
-10.00 -10.00
(0.10)m = 13.80 Subtraction Property of Equality
/0.10 /0.10
m = 138 Division Property of Equality
Answer: Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.
Stephan talked for ✔ 138 minutes.
100 POINTS!!!
Which company charges less per hour?
A. Company A
B. Company B
EXPLAIN
Simplify . Show your work! ILL GIVE BRAINLIEST IF CORRECT
Answer:
[tex]\frac{25}{16}[/tex]
I hope this helps!
um help plz apprecate it
Answer:
4.35 / 100 = 0.0435
Step-by-step explanation:
We find it useful to convert 4.35% to decimal, because if you need to find 4.35% of any number, you can simply multiply that number with 0.0435.
A local amusement park sells large drinks for $5.75. the park offers a large commemorative drink container for $22.99. attendees who purchase the commemorative container get refills up to 12 times for $2.09 each during the day of purchase. Let x represent the number of large drinks consumed, f(x) represent the amount spent
SOMEONE PLS HELP THIS IS DUE IN AN HOUR
Answer:
5.75x = f(x)
22.99 + 2.09x = g(x)
Step-by-step explanation:
Divide them into two parts:
Normal drinks and commemorative drinks
- With normal, only $5.75 is related (Only one drink at a time so 5.75x)
- With commemorative, $22.99 and $2.09 are related (A one time fee of $22.99, then a refill of $2.09; so 22.99 + 2.09x)
PLEASE HELP, EZ QUESTION Given 2a−b
Answer:
I think your answer is ab.
I think it will help you.
a polygon with sides 180°/x-2 has the ratio of interior angle to exterior angle 3:1. find the value of x.?
Answer:100,000
Step-by-step explanation:
Olivia and Jessica have in total half as many sweets as Fran and Gary have in total.
14
Fran and Gary share their sweets in the ratio 2:3
Olivia and Jessica share their sweets in the ratio 9: 1
Fran got w sweets.
Gary got x sweets.
Olivia got y sweets.
Jessica got z sweets.
Find, in its simplest form, w:x:y:z
The simplest form of w : x : y : z will be;
⇒ w : x : y : z = 20 : 30 : 9 : 1
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Olivia and Jessica have in total half as many sweets as Fran and Gary have in total.
Now,
Let Fran got w sweets.
Gary got x sweets.
Olivia got y sweets.
Jessica got z sweets.
So, We get;
⇒ (y + z) = 1/2 (x + w) ..(i)
Here, w = 2a and x = 3a
And, y = 9b and z = b
Substitute in equation (i), we get;
⇒ (y + z) = 1/2 (x + w)
⇒ (9b + b) = 1/2 (2a + 3a)
⇒ 10b = 1/2 (5a)
⇒ 20b = 5a
⇒ 10b = a
So, w = 20b and x = 30b
Or, w : x = 20b : 30b
So, w : x: y: z = 20b : 30b : 9b : b
= 20 : 30 : 9 : 1
Thus, The simplest form of w : x : y : z will be;
⇒ w : x : y : z = 20 : 30 : 9 : 1
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Find the area
Help please!!
Answer:
6
Step-by-step explanation:
the area is six lol yep that's it
Answer:
6 m
Step-by-step explanation:
Multiply the short side by the long side. 2*3=6
PLZ HELP MEEEEE!!!!! IN TEST
Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that
passes through the points (3, -1) and (1, 1).
Plug it in.
y = -1, y1 = 1
x = 3, x1 = 1
-1 - 1 = m( 3 - 1)
-2 = 2m
m = -1
The slope is -1
y = -x +b
-1 = -3 +b
b = 2
The equation is y = -x + 2
Hope this helps.
Answer:
y=-1·x+2
Step-by-step explanation:
The perimeter of a room is 14th. Find the total cost of painting the four walls at the rate of rs 60 per m square .If the height of the room is 4m
Answer:
Rs 6720.
Step-by-step explanation:
Given,
Perimeter of room ( P ) = 14m
Height of room ( H ) = 4m
Area of 4 wall = 2 × 14 ×4
= 112m sq.
Now,
Cost = 112 × 60
= Rs 6720.
Does the equation
2x+2x+2=4x+2
have one solution, many solutions or no solution?
Answer:
Many solutions
Step-by-step explanation:
If it is manipulated, you simply get:
2x + 2x + 2 = 4x + 2
0 = 0
So, there are infinitely many solutions, as anything you plug in for x will be canceled as there are 4 x's on both sides.
find the area of the given figure?
Answer:
19
Step-by-step explanation:
The first thing is recognize that it is a rectangle and two triangles with given bases and heights.
So the first step is finding the area of both triangles, which you can do with the formula for the area of a triangle:
A = (BH)/2
Because the height is two, the area is going to be equal to the base.
The sum of the two triangles is 7.66.
Next you want to find the area of the rectangle, you can do so using the formula:
A = BH
A = 6(2)
The area of the rectangle is 13.
Find the sum of the areas of the three shapes.
3.30 + 4.36 + 12 = 19.66
Two integers are multiplied , and their product is a positive number . What must be true about the two integers ? Give an example
Hannah's town had an election last month. 86 people voted in the election and 14 did not vote. What percentage of the people voted?
Answer:
86%
Step-by-step explanation:
86+14=100
Since 100 is a very common percentage number, then 86% of people voted, and 14% did not.
Hope this helps! :)
Have a please day and remember to keep smiling! :)
Can I please have brainliest? I really want to level up
Can You Solve This?
6 / 2(1+2) =
814x 407
Answer: Well 6 / 2(1+2) = 9
and 814 x 407 = 331,298
Step-by-step explanation:
someone help
i cant figure this out so please help
A pet store had 2,578 fish. 3,384 fish were sold. How many fish does the pet store have now?
Answer:
806
Step-by-step explanation:
add 2,578-3,384 you have to subtract that to get our final answer which is 806 that's how many they have left.
A pound of blueberries costs $3.98 how much will 0.6 pounds of blueberries cost?
[tex]\begin{array}{ccll} lbs&\$\\ \cline{1-2} 1 & 3.98\\ 0.6& x \end{array} \implies \cfrac{1}{0.6}=\cfrac{3.98}{x}\implies x \approx 2.39[/tex]