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]
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The information to determine the missing coordinates is given below.
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Answers
Answer:
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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
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From the above question, we know that: A square foot of carpet is sold for $38
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270 ft² = $x
Cross Multiply
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$x = 270 ft² × $38/ 1 ft²
$x = $10,260
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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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