1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inysia [295]
3 years ago
6

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.
Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:

m(x)_A = 5.2 --- Mean absolute deviation of educational documentary

m(x)_B = 4.7 --- Mean absolute deviation of prime time drama

Step-by-step explanation:

Given

n = 10

See attachment for table

Required

Determine the mean absolute deviation of each

Mean absolute deviation m(x) is calculated as:

m(x) = \frac{1}{n}\sum |x - \mu|

For Educational Documentary

First, calculate the mean

\mu = \frac{\sum x}{n}

So:

\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}

\mu_A = \frac{232}{10}

\mu_A = 23.2

The mean absolute deviation is then calculated as:

m(x)_A = \frac{1}{n}\sum |x - \mu_A|

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|)

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|)

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)

m(x)_A = \frac{1}{10}*52

m(x)_A = 5.2

For Prime time Drama

First, calculate the mean

\mu = \frac{\sum x}{n}

So:

\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}

\mu_B = \frac{341}{10}

\mu_B = 34.1

The mean absolute deviation is then calculated as:

m(x)_B = \frac{1}{n}\sum |x - \mu_B|

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|)

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|)

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)

m(x)_B = \frac{1}{10}*47

m(x)_B = 4.7

You might be interested in
Solve |2x - 1| + 3 = 6.
umka21 [38]

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

5 0
3 years ago
Read 2 more answers
The perimeter of a rectangular garden is 24. If the length is half the width, what is<br> the width?
Anna11 [10]

Let length be x

  • Width be 2x

ATQ

\\ \sf\longmapsto 2(L+B)=24

\\ \sf\longmapsto 2(x+2x)=2=

\\ \sf\longmapsto 2(3x)=24

\\ \sf\longmapsto 6x=24

\\ \sf\longmapsto x=\dfrac{24}{6}

\\ \sf\longmapsto x=4

4 0
3 years ago
Read 2 more answers
Help me out please!!!!
lapo4ka [179]

Answer:

8/17

Step-by-step explanation:

opposite = hypotenuse

opposite = 8

hypotenuse =17

7 0
3 years ago
Read 2 more answers
John and Tyrone each go for a morning jog before work. John's jogging pace
hram777 [196]

Answer:

Tyrone's rate is 1 more mile per hour than John's

Step-by-step explanation:

Given

y = 5x --- John number of jog

See attachment of Tyrone's number of jog

Required

Select the true option

From the attached graph, we have:

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,12)

Calculate the slope (m); i.e. unit rate

m = \frac{y_2 - y_1}{x_2 -x_1}

m = \frac{12 - 0}{2 -0}

m = \frac{12}{2}

m = 6

For John, we have:

y = 5x

A linear equation is represented as:

y = mx+ c

Where m represents the unit rate. So, by comparison;

m = 5

m = 5 --- John unit rate

m = 6 --- Tyrone unit rate

<em>Option B is correct because Tyrone's rate is 1 more mile per hour than John's</em>

<em>i.e. 6 - 5 = 1</em>

5 0
3 years ago
Use distributive property for 3.2= 4/5(b - 5)
tigry1 [53]
I hope this helps :)

5 0
3 years ago
Other questions:
  • Geometry page 1 help please !
    9·1 answer
  • How to make 2700 and 600 a fraction
    9·1 answer
  • Mr.anderson is trying to use indirect measurement to determine the height of a flagpole. Mr.anderson is 5.5 feet tall and casts
    10·1 answer
  • Explain how you would solve 5x - 3 = 9. (there should be a minimum of 2<br> complete sentences). *
    13·2 answers
  • What is thw value of x?<br>x=____​
    5·2 answers
  • 20 POINTS PLEASE ANSWER ASAP What is the equation for the line? Enter your answer in the box.
    7·1 answer
  • What is the equation of the line through (2, -4) and (0, 4)?
    11·1 answer
  • Please help me i really need help it's due right now at 11:30am if i don't submit i'm not gonna pass please i really need help p
    15·1 answer
  • Shawna and her best friend Keisha go shopping.
    15·1 answer
  • Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. I
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!