Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime drama. Both types of shows lasted 1 hour, including commercials. He recorded the number of commercials for 10 episodes of each type of show.
Answers
Answer:
[tex]m(x)_A = 5.2[/tex] --- Mean absolute deviation of educational documentary
[tex]m(x)_B = 4.7[/tex] --- Mean absolute deviation of prime time drama
Step-by-step explanation:
Given
[tex]n = 10[/tex]
See attachment for table
Required
Determine the mean absolute deviation of each
Mean absolute deviation m(x) is calculated as:
[tex]m(x) = \frac{1}{n}\sum |x - \mu|[/tex]
For Educational Documentary
First, calculate the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
So:
[tex]\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}[/tex]
[tex]\mu_A = \frac{232}{10}[/tex]
[tex]\mu_A = 23.2[/tex]
The mean absolute deviation is then calculated as:
[tex]m(x)_A = \frac{1}{n}\sum |x - \mu_A|[/tex]
[tex]m(x)_A = \frac{1}{10}(|26 -23.2| +|28 -23.2| +|30 -23.2| +|18 -23.2| +|27 -23.2| +|18 -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)[/tex]
[tex]m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)[/tex]
[tex]m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)[/tex]
[tex]m(x)_A = \frac{1}{10}*52[/tex]
[tex]m(x)_A = 5.2[/tex]
For Prime time Drama
First, calculate the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
So:
[tex]\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}[/tex]
[tex]\mu_B = \frac{341}{10}[/tex]
[tex]\mu_B = 34.1[/tex]
The mean absolute deviation is then calculated as:
[tex]m(x)_B = \frac{1}{n}\sum |x - \mu_B|[/tex]
[tex]m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)[/tex]
[tex]m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)[/tex]
[tex]m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)[/tex]
[tex]m(x)_B = \frac{1}{10}*47[/tex]
[tex]m(x)_B = 4.7[/tex]
Related Questions
In a map, 8 cm represent 2km. Write the scale of the map.
Answers
Answer:
1:25000
Step-by-step explanation:
2km =2000m =200000cm
200000/8=25000
Jasmine had $120,000 last year. This year she has $50,000
What is the percentage difference?
Answers
The percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.
What is percentage?As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
The last year value = $120000,
The new value of this year = $50000,
Calculate the percentage by the following formula,
Percentage difference = The new value of this year / The last year's value ×100
Substitute value
Percentage difference = 50000 / 120000 × 100
Percentage difference = 41.6%
Therefore, the percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.
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This is giving me hard time someone help ASAP. I really need it because I been trying to solve it and cant
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x^2 - 10x + 24 = 024
Answers
Answer:
x=0,10
Step-by-step explanation:
I really need to get this done quick.
The surfboard is 14 inches taller than the person.
Write and solve an equation to determine how tall is the person?
Answers
Subtract 14 from both sides.
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what number can go into 42 and 21
Answers
Answer:
7
Step-by-step explanation:
Answer:
1,3,7,21 all of those are factors of 42 and 21.
They all can go
Step-by-step explanation:
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help me plssss lsss i really need help today like today today
Answers
Answer:
1. Reflection across the x-axis:
1) (-2,-2)
2) (-1,-4)
3) (3,-4)
2. Reflect across the y-acis:
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2) (-2,1)
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Brainiest PLZZZ
A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.
a. What is the area of the room in square feet?
_square feet
b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in
decimal form to the nearest hundredth.
c. What is the total price for the carpeting? _
d. This room is well insulated and is on the south side of the house. It has an
require? Write the exact.
_BTUS
foot high ceiling. How large an air conditioner would this room
Answers
Answer:
a. 270 square feet
b. 3.75 inches by 4.5 inches
c. $10,260
Step-by-step explanation:
A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.
a. What is the area of the room in square feet?
Area of a rectangular room = Length × Width
Length = 15 feet
Width = 18 feet
Area of the room = 15 feet × 18 feet
= 270 square feet
b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in decimal form to the nearest hundredth.
From the above question:
1/4 inch = 1 foot
Length = 15 feet
Hence:
1 foot = 1/4 inch
15 feet = x inch
Cross Multiply
x = 15 × 1/4 inch
x = 3.75 inches
For the Width = 18 feet
Hence:
1 foot = 1/4 inch
18 feet = x inch
Cross Multiply
x = 18 × 1/4 inch
x = 4.5 inches
Therefore, the dimensions of the room in inches is
3.75 inches by 4.5 inches
c. What is the total price for the carpeting? _
From the above question, we know that: A square foot of carpet is sold for $38
The area of the room is 270 square feet
Hence:
1 ft² = $38
270 ft² = $x
Cross Multiply
1ft² × $x = 270 ft² × $38
$x = 270 ft² × $38/ 1 ft²
$x = $10,260
Therefore, the total price for the carpeting of the room is $10,260.
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Answers
Answer:
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Step-by-step explanation:
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A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x
Answers
Question:
A population of insects, in thousands, can be modeled using the function
[tex]p(t) = 1.75(0.97)^t[/tex], where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
[tex]p(t) = 1.75(0.97)^t[/tex]
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
[tex]y=ab^x[/tex]
Compare to [tex]p(t) = 1.75(0.97)^t[/tex]
[tex]b= 0.97\\[/tex]
If [tex]b > 1[/tex], then [tex]b = 1 + r[/tex] r represents growth rate
else, [tex]b= 1-r[/tex] r represents decay rate
Since b < 0.97:
[tex]0.97= 1-r[/tex]
[tex]r = 1 - 0.97[/tex]
[tex]r = 0.03[/tex]
[tex]r = 3\%[/tex]
[tex]r = 0.03[/tex]
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Write the following ratio in simplest form.
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Answers
Answer:
40/16
2/5
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= 2:5
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Answers
The information to determine the missing coordinates is given below.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
Given;
A rectangle is drawn in the coordinate plane.
That means, each vertex has coordinates.
To find the missing vertex of a rectangle in a coordinate plane:
We should have the three known vertices.
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Therefore, the information to determine the missing coordinates is given above.
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Answers
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A
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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4
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
47
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Kayla is pricing whole wheat flour.
A 5-pound bag at Bargain Mart costs $6.45.
A 2-pound bag at Food Saver costs $2.50.
A 7-pound bag at Grocery Surplus costs $9.45
A 10-pound bag at Economart costs $12.89.
The shop with which sells flour for the lowest unit price is
Answers
Answer:
Food Saver
Step-by-step explanation:
6.45 ÷ 5 = 1.29
2.50 ÷ 2 = 1.25
9.45 ÷ 7 = 1.35
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Food Saver sells for $1.25 per pound, which is the lowest.
Answer:
Food Saver
Step-by-step explanation:
Bargain Mart: 6.45/5 = $1.29/lb
Food Saver: 2.50/2 = $1.25/lb
Grocery Surplus: 9.45/7 = $1.35/lb
Economart: 12.89/10 = $1.29/lb
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+ 4'8"
------------
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
50
Step-by-step explanation:
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