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.
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]
Find x and y.
x = 18, y = 9
x = 4, y = 9
x = 4, y= 27
x = 9, y = 24
Answer:
the answer is c hope is helps
Find the missing side length of a triangle with legs that are 6 feet and 8 feet long.
Answer:
10 feet.
Step-by-step explanation:
I am assuming this is a right triangle. We use Pythagoras theorem:
h^2 = 6^2 + 8^2
h^2 = 100
h = 10 feet.
please help me. find the value of x. will mark brainliest.
During an local election the ratio of teens to adults who voted was 9.3. If 732 people voted how many were teens
Answer: 549
Step-by-step explanation:
Given
The ratio of teens to adults is 9:3
The total number of people who voted is 732
let 9x be the no of teens and 3x be the no of adults such that their ratio is 9:3
So, we can write
[tex]\Rightarrow 9x+3x=732\\\Rightarrow 12x=732\\\Rightarrow x=61[/tex]
No of the teens were [tex]9x=9\times 61=549[/tex]
Please help with explanation.
9,000mL= L. PLZ HELP ASAP
Answer:
9 liters
1000 ml in one liter
Step-by-step explanation:
The net of a rectangular prism is shown below. Each square represents 1 square unit.
What is the total surface area of the net shown?
Answer:
56 units²Step-by-step explanation:
There are two bases of 3x4 and 4 sides of 2x4
Total surface area is:
2(3*4) +4(2*4) = 56 units²(3x²-21x-24)take out the highest common factor
Answer:
x = 8 or x = -1 is the answer
Step-by-step explanation:
3x² - 21x -24
divide with 3
x² - 7x - 8
Factorizing,
x² + x - 8x - 8
x(x + 1) -8 (x + 1)
(x - 8) (x + 1)
x = 8,-1
Find the exact value of each variable.
x=
y=
z=
Step-by-step explanation:
hope it helps
have a great day!!
You can use the formula S = 10m^2/3 to approximate the surface area S, in square centimeters, of a horse with mass m, in grams. What is the surface area of a horse with a mass of 4.5 x 10^5 grams? Round you answer to the nearest whole square centimeter about 58,723 sq cm.
Answer:
58, 723 sq cm
Step-by-step explanation:
Find the measure of.. (image included)
I don't get this :(
I need a quick update on wat we've been learning in 8th grade
2.
What equation models the data in the table if d = number of days and c = cost?
Days
2
3
5
6
Cost
44
66
110
132
A. c = d + 22
B. c = 22d
C. d = 22c
D. c = d + 22d
Answer: B. c = 22d
I'm gonna go with c=22d
Step-by-step explanation: 22d
C = 22d is the correct answer because for every day the cost increases by 22 so two days mean the cost is equal to 22 (2)
...............................................................................................................................................
Answer:
The equation that models the data in the table is:
Step-by-step explanation:
The table that represent the days and cost is given by:
Days Cost
2 44
3 66
5 110
6 132
We see that the cost is a constant multiple of the number of days.
i.e. the equation is given by:
c=22d
i.e. the relationship is linear.
( Since, when d=2
we have: c=22×2=44
when d=3 we have:
c=22×3=66
and so on )
...............................................................................................................................................
You can see that 44/2 = 22
66/3 = 22
110/5 = 22
132/6 = 22
Then, the relation between C and d is a constant.
C/ d = 22
And you can model C as:
C = 22d.
This model tells that the cost equals 22 times the days.
...............................................................................................................................................
Answer:p12q8u43u2304932456
Step-by-step explanation:
90909090909
Answer:
B
Step-by-step explanation:
It is B because c would be the total cost and 22d is $22 a day.
Hoped this helped. :)
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Step-by-step explanation:
the total angles of the triangle are 180°
so,
180° = (x - 10) + (2x + 5) + 35°
180° - 35° = (x - 10) + (2x + 5)
145° = 2x + x + 5 - 10
145° = 3x - 5
145° + 5 = 3x
150° = 3x
150/3 = x
x = 50
#CMIIW
HELPP PLSSS FOR BRAINLEST AND EXTRA POINTS
Answer: B.) The cost of a pizza with no toppings is $6
Step-by-step explanation:
The y-intercept shown on the graph is (0,6)
Meaning with 0 toppings, the pizza cost $6
A store has two different brands of laundry detergent. Brand A can do 80 loads of laundry and costs $12.75. Brand B does 36 loads of laundry and costs $6.75. Which laundry detergent costs less per load?
Which symbol correctly compares the mixed numbers?
3 6/9 ? 3 2/3
Answer: it would be the "=" sign
Step-by-step explanation: this is because 2/3 and 6/9 are equivalent fractions. you want to find the greatest common factor between 6 and 9 which is 3. you multiply that by the numerator and denominator. therefore, the symbol that compares these mixed numbers is "=".
On a coordinate plane, rhombus Q R S T has points (8, 20), (14, 12), (8, 4), (2, 12). How can you find the perimeter of the rhombus? Find One-half(QS)(RT). Find One-half(QT)(TS). Use the distance formula to find QT, then multiply by 4. Use the distance formula to find QT and QR, add the distances, then multiply by 4.
Answer:
C
Step-by-step explanation:
Correct on Edge 2020
Answer:The Answer C:Use the distance formula to find QT, then multiply by 4.
Step-by-step explanation:
I got answer correct in Edgeunity 2023
PLS HELP I NEED THIS FOR TODAY!!1. Brittney wants to attend Stephen F.
Austin State University that costs
$12,000 each year. Her parents plan to
contribute $3,200 towards her tuition.
If Brittney wanted to start saving money
from her summer job to help pay for
the first year of tuition, how much
would she have to save each summer if
she works all 4 summers that she is in
high school?
2. Wyatt wants to attend Baylor
University which has a tuition cost of
$42,000 a year. His parents said they
will give him $18,000 each year for
tuition. If Wyatt saves money over
the next four years before college,
how much money will he have to save
each year?
3. Caleb wants to attend Trinity Valley
Community College that charges about
$3,400 a year. Caleb won a scholarship
worth $1,000 a year. If he wants to save
money he earns at his job for the next
four years, how much money must
Caleb save every month to have enough
money to pay for one year of college?
4. Tuition at Texas A&M Commerce
costs $10,500 a year. Li Neshya would
like to attend this university and will
save money for the next four years on a
monthly basis. Li'Neshya's parents will
give her $1,500 for the first year's
tuition. How much money will she have
to save each month so that she will have
enough to pay for her first year of
college?
Answer:
358
Step-by-step explanation:
Solve for x round to the nearest tenth
Answer:
5.4
Answer: The value of x rounded to the nearest tenth is 5.4.
Step-by-step explanation:
Translate the sentence into an equation.
The sum of 9 times a number and 6 is equal to 8.
Answer:
Step-by-step explanation:
gracias por los puntos
Which function is best represented by the graph?
A. f(x)=x^2-6x-8
B. f(x)=x^2-6x+8
C. f(x)=x^2-3x-8
D. f(x)=x^2-3x+8
Answer:
The answer is B f(x)=x^2-6x+8
Luke wants to cover this wall with blue paint.
7 m
1.6 m
3.6 m
wall
door
6.1 m
He will buy blue paint in 2.5 litre tins.
Each 1 litre of blue paint will cover 8 m2 of the wall.
How many tins of blue paint does Luke need to buy?
The total number of hours tea that Trent has practiced his guitar after D days is modeled by the equation shown t=3d
Answer:
The complete table is
d t
1 3
3 9
5 15
Step-by-step explanation:
Here is the correct and complete question:
The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.
Complete the table below.
d t
1
3
15
Step-by-step explanation:
For the first space, we are to determine the value of t when d is 1
From the given equation, t = 3d, put d = 1 and determine t
t = 3d
∴ t = 3(1) = 3×1
t = 3
For the second space , we are to determine the value of t when d is 3
Put d = 3 in the equation to determine t
t = 3d
∴ t= 3(3) = 3×3
t = 9
For the third space, we are to determine the value of d when t is 15.
Put t = 15 in the equation and then find d
t = 3d
∴ 15 = 3d
Divide both sides by 3
15/3 = 3d/3
5 = d
∴ d = 5
Although it is now extinct, the Carolina parakeet was last seen in Florida in 1920. Back then, large areas of habitat were logged and converted to agricultural fields. Honeybees evicted the parakeets from hollow trees where they nested. Many parakeets were shot for food and their feathers. In addition, farmers shot the parakeets to keep them from eating their seeds. What can you conclude from these observations about why the Carolina parakeet became extinct?
a.Extinction may be the result of several factors.
b.Extinction is always the result of human activity.
c.Extinction occurs when an organism adapts to changes in its environment.
d.Extinction can be reversed if conservation measures are immediately put in place.
Answer:
a
Step-by-step explanation:
Hey cozycooljoe can you help me with this also, I am not rlly in High School I am in 7th Grade Jr. High.
Answer:
4.2 x 10^4=42000, 1.182 x 10^8 =118,200,000, 2.96 x 10^3 = 2960, 3.4 x 10^4 = 34000, 6.24 x 10^6 = 6240000, 7.2 x 10^8 = 720000000, 9.1 x 10^5 = 910000, 5.71 x 10^5 = 571000Step-by-step explanation:
Answer: 1. 42,000 2. 118,200,000 3. 2,960 4. 34,000 5. 6,240,000 6. 720,000,000 7. 910,000 8. 571,000
Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.
Answer:
Due to;
Sampling variability
Step-by-step explanation:
From the question, we have;
The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%
The number of adults in the sample of the survey = 1,501 adults
The number of adults that responded that it is more enjoyable to be married than single = 1,126
According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion
find the value of given expression
[tex] \sqrt{25 \times 625 \times \times 25} [/tex]
Answer:
±625
Step-by-step explanation:
[tex]\sqrt{25 x 625 x 25}[/tex]
[tex]\sqrt{390625}[/tex]
±625
Answer:
√(25×625×25)√{5²×25²×5²)=±(5×25×5}=±625 is your answer
somebody plz help me
Answer:
i think its B
Step-by-step explanation: