Answer:
The answer is below
Step-by-step explanation:
For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.
Since 1 day = 1/3 hr faster
x days = 24 hr faster
Let x number of days be required to be 24 hr faster. To find x we use the formula:
[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]
For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.
Since 1 day = 1/2 hr slower
y days = 24 hr faster
Let x number of days be required to be 24 hr slower. To find x we use the formula:
[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]
Buchtal, a manufacturer of ceramic tiles, reports on average 2.3 job-related accidents per year. Accident categories include trip, fall, struck by equipment, transportation, and handling. The number of accidents is approximately Poisson. Please upload your work for all of the parts at the end. a) What is the probability that more than one accident occurs per year? Include at least 3 decimal places in your answer. Submit Answer Tries 0/5 b) Suppose that 5 years are randomly selected. What is the expected number of accidents in this time period? Submit Answer Tries 0/5 c) What is the standard deviation of the number of accidents in 5 years? Submit Answer Tries 0/5 d) What is the probability that exactly 8 accidents occur in 5 years? Include at least 3 decimal places in your answer. If you get an error on your calculator, please use an online source like Wolfram Alpha to calculate the number. Submit Answer Tries 0/5
Answereippcb.jrc.ec.europa.eu
Step-by-step explanation:
this I the wed go on it and you will get your answer
what is the y-coordinate of point 7? Write a decimal coordinates.
Answer:
The y-coordinate is -4.5
Step-by-step explanation:
Point has x-coordinate -3 and y-coordinate -4.5.
Answer:
the y-coordinate is -4.5
Step-by-step explanation:
the x-coordinate is -3
the y-coordinate is in between -4 and -5. from here one can assume it is half way unless there is information that has not been stated.
In between -4 and -5 is -4.5 so the y-coordinate is -4.5
the coordinate of point 7 is ( -3, -4.5)
Solve 6 + 5 √ 2 4 9 − 2 x = 7
[tex]
6+5\sqrt{249}-2x=7 \\
-2x=7-6-5\sqrt{249} \\
-2x\approx-77.9 \\
x\approx\frac{-77.9}{2}\approx38.95
[/tex]
Hope this helps.
what is the Expected value of the probability distribution also called?
Answer:
The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment.
Evaluate 9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
Answer:
see below
Step-by-step explanation:
9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
We are replacing 9 with 10 minus something
9 = 10 -1
9 x 8 = (10 x 8) - ( 1 x 8)
80 - 8
72
Suppose that a high school marching band has 97 members. Of these 97 band members, 31 are seniors, 18 play the trumpet, and 6 are seniors who play the trumpet.What is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? Give your answer as a percentage, rounded to one decimal place.___%What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?___%
Answer:
Step-by-step explanation:
33.3%
19.4%
HELP PLS!!! ITS DUE ASAP AND I NEED HELP ITS THE LAST QUESTION
Answer:
See below.
Step-by-step explanation:
Recall the volume of a sphere: [tex]V=\frac{4}{3}\pi r^3[/tex]
We know that the diameter is 14, so the radius is 7.
Plug it into the equation:
[tex]V=\frac{4}{3}(3.14)(7^3)\approx 1436.03cm^3[/tex]
KARUNA OPENED A CANDY SHOP AND SELLS CHOCOLATE AND PEANUT
BUTTER FUDGE BY THE POUND. THE CHOCOLATE FUDGE COSTS $3.20 PER
POUND AND THE PEANUT BUTTER FUDGE COSTS $3.00 PER POUND. ON A
GIVEN DAY KARUNA'S CANDY SHOP SELLS 15.5 POUNDS OF FUDGE FOR A
GROSS PROFIT OF $48.50
A WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE C
REPRESENTS THE NUMBER OF POUNDS OF CHOCOLATE FUDGE SOLD,
AND P REPRESENTS THE NUMBER OF POUNDS OF PEANUT BUTTER
FUDGE SOLD
B. HOW MANY POUNDS OF PEANUT BUTTER FUDGE DID KARUNA'S CANDY
SHOP SELL?
Answer:
A. System of equations:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
B. 5.5 pounds of peanut butter fudge were sold.
Step-by-step explanation:
Given:
Cost of chocolate fudge = $3.20
Cost of peanut butter fudge = $3.00
Total pounds sold = 15.5
Total gross profit = $48.50
C is the number of pounds of chocolate fudge sold.
P is the number of pounds of peanut butter fudge sold.
To find:
System of equations and number of pounds of peanut butter fudge sold = ?
Solution:
As per given conditions:
1. [tex]C+P=15.5[/tex]
Gross profit from Chocolate fudge: [tex]3.20 \times C[/tex]
Gross profit from Peanut Butter fudge: [tex]3.00 \times P[/tex]
Total gross profit = [tex]3.20C+3.00P = 48.50[/tex]
So, the system of equations is:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
2. To find P.
Let us solve the equations.
Multiply 2nd equation with 3 and subtracting from 1st equation:
[tex]0.2C = 48.5- 3 \times 15.5\\\Rightarrow 0.2C = 48.5- 46.5\\\Rightarrow C = 10\ pounds[/tex]
Putting in 2nd equation:
[tex]10+P=15.5\\\Rightarrow P =5.5\ pounds[/tex]
So, the answer is:
5.5 pounds of peanut butter fudge were sold.
New question! What's the average of 156218 and 8162336
Answer:
4159277
Step-by-step explanation:
156218 and 8162336
Add the two numbers and divide by 2
(156218 + 8162336)/2 =
8318554/2=
4159277
Answer:
4159277
Step-by-step explanation:
156218+8162336
=8318554
8318554 divided by 2 = 4159277
you add both numbers and divide by how many you added
what is the square root of -16
Answer:
Step-by-step explanation:
[tex]\sqrt{-16}=\sqrt{16i^{2}}\\\\ =\sqrt{4^{2}*i^{2}}\\\\=4i[/tex]
In 1998, Mary Meagher set the women's world swimming record for the 100-m butterfly. She swam the distance in 57.93 seconds. On average, how long did she take to swim 10 m?
Answer:
5.793 s
Step-by-step explanation:
On average she swam 1/10 the distance in 1/10 the time.
She took an average of 5.793 seconds to swim 10 m.
___
10 m is 1/10 of 100 m
Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordless, and the other six are corded phones. Suppose that these components are randomly allocated the numbers 1, 2, . . . , 18 to establish the order in which they will be serviced. (Round your answers to four decimal places.)
(a) What is the probability that all the cordless phones are among the first twelve to be serviced?
(b) What is the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced?
(c) What is the probability that two phones of each type are among the first six serviced?
Answer:
a) 0.0498
b) 0.1489
c) 0.1818
Step-by-step explanation:
Given:
Number of telephones = 6+6+6= 18
6 cellular, 6 cordless, and 6 corded.
a) Probability that all the cordless phones are among the first twelve to be serviced:
12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂
Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.
The possible ways of selecting thr remaining 6 telephones = ¹²C₆
Probability of servicing all cordless phones among the first twelve:
= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)
[tex] = \frac{1 * 924}{18564} [/tex]
[tex] = 0.0498 [/tex]
b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:
Here,
One type must be serviced first
The 6 remaining to be serviced can be a combination of the remaining two types.
Since there a 3 ways to select one type to be serviced, the probability will be:
= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂
[tex] = \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}[/tex]
[tex] = \frac{2766}{18564} [/tex]
[tex] = 0.1489 [/tex]
c) probability that two phones of each type are among the first six:
(⁶C₂)³/¹⁸C₆
[tex] \frac{3375}{18564}[/tex]
[tex] =0.1818 [/tex]
Shopping at discount clothing stores can save you a lot of money. Felicia recently bought a jacket
at a discount store for $20 that would normally cost $60 at a retail store. What percent discount
off the retail price did Felicia get the jacket for?
Answer:
33.33%
Step-by-step explanation:
use a proportion
20/60 =10/30=1/3=33.333%
hope this helped!
What angle is included by AB and BC ?
B
A
O A. ZB
OB. ZA
O c. Zc
Answer:
[tex] \angle B[/tex]
Step-by-step explanation:
[tex] \angle B[/tex] is included by AB and BC, because B is the common vertex in AB and BC,
KEVIN HAS TWO PART-TIME JOBS. HE DELIVERS PIZZA FOR PEDRO'S PIZZERIA
AND MAKES $8 AN HOUR, PLUS $20 FOR DRIVING EXPENSES EACH WEEK. HE
ALSO DOES ODD JOBS FOR A LOCAL HARDWARE STORE, WHERE HE IS PAID $10
AN HOUR.
A. WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE H
REPRESENTS THE NUMBER OF HOURS KEVIN WORKS, AND A
REPRESENTS THE AMOUNT HE EARNS AT EACH JOB IN A WEEK. B. HOW MANY HOURS MUST KEVIN WORK AT EACH JOB SO THAT HIS EARNINGS FROM BOTH SIDES ARE THE SAME? C. WHAT WOULD HIS INCOME FROM EACH JOB BE IN THAT CASE?
Answer:
A. A = 8h + 10
A = 10h
B. 5 hours
C. $50
Step-by-step explanation:
A. https://brainly.com/question/17036764
Pizza Place: A = 8h + 10
Hardware Store: A = 10h
Since you had made a separate question for part A, I answered that.
B. Kevin's earnings is represented by A. Because we want the earnings for each job to be equal, set the two equations equal to each other. Solve for h.
8h + 10 = 10h
10 = 2h
5 = h
Kevin has to work 5 hours.
C. Plug 5 into each equation.
A = 8h + 10
A = 8(5) + 10
A = 40 + 10
A = 50
A = 10h
A = 10(5)
A = 50
Kevin will make 50 from each job.
Jose Canseco hit three fifth-deck home runs at SkyDome/Rogers Centre during his career, including the first ever at the stadium in 1989. That first homer is listed as a distance of 480 ft, and the fifth deck is approximately 75 feet above field level. How fast was the ball going just as it left Conseco’s bat?
Answer:
187 ft/s
Step-by-step explanation:
Given in the y direction:
v₀ = 0 ft/s
Δy = 75 ft
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.165 s
Given in the x direction:
Δx = 480 ft
a = 0 ft/s²
t = 2.165 s
Find: v₀
Δx = v₀ t + ½ at²
(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²
v₀ = 187 ft/s
A LINE PASSES THROUGH THE POINTS. what is the EQUATION OF THE LINE? (2,-4) and (6,10)?
Hey there! :)
Answer:
y = 7/2x - 11
Step-by-step explanation:
Use the slope formula to calculate the slope:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates:
[tex]m = \frac{10-(-4)}{6-2}[/tex]
Simplify:
[tex]m= \frac{14}{4}[/tex]
[tex]m = \frac{7}{2}[/tex]
Slope-intercept form is y = mx + b. Plug in the slope, as well as the coordinates of a point given to solve for b:
10 = 7/2(6) + b
10 = 42/2 + b
10 = 21 + b
10 - 21 = b
b = -11.
Write the equation:
y = 7/2x - 11
10.
AA'B'C' is a dilation image of AABC. Which is the correct description of the dilation?
12
of a
А)
6
B' =B
С
Answer:
Option (2)
Step-by-step explanation:
In the figure attached,
ΔA'B'C' is a dilation image of ΔABC or both the triangle are similar.
Therefore, by the property of similarity of two similar triangles, corresponding sides these similar triangles will be proportional.
Scale factor = [tex]\frac{\text{Side of image triangle}}{\text{Side of the pre-image}}[/tex]
= [tex]\frac{\text{B'A'}}{\text{B'A}}[/tex]
= [tex]\frac{\text{(B'A+AA')}}{\text{B'A}}[/tex]
= [tex]\frac{(6+12)}{6}[/tex]
= 3
Therefore, scale factor is 3 when center of dilation is B.
Option (2) will be the answer.
Dominics two daughters both want to take gymnastics this year. It cost 90 per month per child. How much dose dominic need to budget for a year ( 12 months) of gymnastics for both daughters
Answer:
$2,160 is what he need for both daughters for 1 year
Step-by-step explanation:
90 x 2 = 180
180 x 12 = 2,160
Dominic need to budget a total of 2160 for a year of gymnastics for both daughters.
What is Multiplication?Multiplication is one of the basic mathematical operations which includes a number added repeatedly to times of the other number. The final answer is called the product of the numbers.
Multiplication is usually denoted as '×' sign.
a × b indicates that a is added repeatedly upto b times.
Cost for the gymnastics per month per child = 90
In order to find the cost per month for both daughters, we need to multiply 90 with 2.
Cost for the gymnastics per month for 2 daughters = 2 × 90 = 180
To find the total cost for an year, we need to multiply 180 with 12.
Total cost for the year = 180 × 12 = 2160
Hence the total budget for Dominic to send both the daughter in a year is 260.
To learn more about Multiplication, click on the link given below:
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the pie chart on the left shows the mean of transport 60 people use every morning to get to work. How many people use the train to go to work
Answer:
I wanna end myself bye random stranger.
In 1990, the profit of the Gamma company was $11.900,848. Each year after 1990profits fell by \$48,263 on average Construct a linear model for this scenario and use it to solve for the profits in the year 2020. Round your answer to a whole dollar
Answer:
$10452958
Step-by-step explanation:
Initial profit = $11900848
Fall rate= $48263 per year
Equation:
P(x)= 11900848 - (x-1990)*48263,where P(x)= profit at year of x, and 1990<x<2020
P(2020)= 11900848- 30*48263= $10452958a solution to the inequality n ÷ 4 – 125 > 300
Answer:
n > 1700
Step-by-step explanation:
n ÷ 4 – 125 > 300
Add 125 to both sides.
n ÷ 4 > 425
Multiply both sides by 4.
n > 1700
Answer:
n > 1700
Step-by-step explanation:
n ÷ 4 - 125 > 300
Add 125 to both parts.
n ÷ 4 > 300 + 125
n ÷ 4 > 425
Multiply both sides with 4.
n > 425 × 4
n > 1700
Applying Angle Pair Relationships
Try it
Z
What is m 22? 75
y
What is mZ1?
1
4
13 16
A
2/3
14 15
5
75°
9 12
6
>
7
w
101 11
What is the measure of angle 1
Answer:
∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.
The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Now, We get;
∠2 = 75°
Because of alternate interior angles.
And, Since ∠1 and ∠2 form a linear pair,
Hence, they are also supplementary which means that;
⇒ ∠1 = 180 - ∠2
⇒ ∠1 = 180 - 75
⇒ ∠1 = 105°
Thus, The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
Learn more about the angle visit:;
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If a4=16 and a8=32 and an= 128 for an arithmetic sequence what is the value of n?
Answer:
n = 32
Step-by-step explanation:
an = a1 + (n - 1)d
a4 = a1 + 3d = 16
a8 = a1 + 7d = 32
7d - 3d = 32 - 16
4d = 16
d = 4
a4 = a1 + 3d = 16
a1 + 3(4) = 16
a1 + 12 = 16
a1 = 4
an = 4 + (n - 1)4 = 128
4 + 4n - 4 = 128
4n = 128
n = 32
Geometry please help. What is the perimeter of XYZ
Answer:
39
Step-by-step explanation:
Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.
The solution is: 39 is the perimeter of XYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Angle AQC, AQB and BQC are 120deg.
(360/3=120).
Therefore, Angle BZC, CXA and AYB are 60deg.
Because, angle BZC is half of angle BQC.
same for the other three angles.
As, all 3 angles are 60deg, it is an equilateral triangle.
So, YZ is 13
therefore as all 3 sides are equal
its 13*3=39.
Hence, 39 is the perimeter of XYZ.
To learn more on angle click:
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A division problem is shown below. 4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction The reciprocal of a fraction must be found to solve the problem. What is the reciprocal fraction that is required?
Answer:
6/5
Step-by-step explanation:
you have to flip the numerator and denominator. If it is 5/6 then it would be 6/5.
The reciprocal fraction that is required will be 31/26.
What is a fraction?A fraction is a numerical number that is represented in the numerator and denominator form.
We have Two mixed fractions, the First fraction = 4(1/3) and the Second fraction = 5(1/6).
Now,First, convert mixed fractions into simple fractions,i.e.First fraction = 4(1/3) = 13/3And,Second fraction = 5(1/6) = 31/6
Now, According to the question,
Divide First fraction by Second fraction;i.e.= (13/3) / (31/6)Now simplify,= ( 13 × 6) / (31 × 3)
Now, We get,= 26/31
So, the reciprocal fraction = 31/26.
Hence we can say that the reciprocal fraction that is required will be 31/26.
To learn more about fractions click here,https://brainly.com/question/10354322
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If 1 card is drawn at random from a standard 52-card deck, what is the probability that the card drawn is a king?
Answer:
1/13 chance or roughly 7.7% chance.
Step-by-step explanation:
There are 4 Kings in a standard 52-card deck. If one King was to be pulled out, you'd get a probability of 4/52 chance of pulling a king. Simplified, 4/52 is 1/13 chance.
What is the slope of a line perpendicular to y=-7X?
O A.
4
B.
IN
N
O c.
4
O D.
PLZZZ HELP
Answer:
1/7
Step-by-step explanation:
y=-7X
The slope of this line is -7
Perpendicular lines have slopes that multiply to -1
-7 * m = -1
Divide each side by -7
m = -1 / -7
m = 1/7
The slope of the perpendicular line is 1/7
Answer:
1/7
Step-by-step explanation:
Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.
So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).
to find perpendicular slope..
Step 1. Multiple -7 by -1 = 7
Step 2. Flip 7/1 to 1/7
Answer: 1/7 is perpendicular slope
If one card is drawn from a deck. find the probability of getting these results. Enter your answers as fractions or as decimals rounded to 3 decimal places.
Part 1
An ace and a heart
P(acc and heart)-
Part 2
An 8 or a diamond
P (8 or diamond)-
Part 3
A red 7
P(red 7)-
Answer: Part 1: 1/52 Part 2: 15/26 Part 3: 1/26
Step-by-step explanation:
A ace of hearts is only 1 card
a 8 or a diamond a 8 is a 4/52 chance and a diamond is a 26 / 52 chance
26 + 4 = 30
30/52 simplifies to 15/26
A red 7 has a 4/52 chance for a 7 and half of that for a red card so 2/52 then 1/26
Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the Audience-Score of the movie as well as a categorical variable classifying each movie by its Genre. The computer output above gives summary statistics for audience ratings based on genre for a sample of the movies, using four of the possible genres. Variable Genre N Mean StDev Minimum Qi Median Q3 Maximum Audience Score Action 32 58.63 18.39 32.00 44.50 51.00 78.00 93.00 Comedy 27 59.11 15.68 31.00 48.00 58.00 71.00 93.00 Drama 21 72.10 14.55 46.00 59.00 72.00 84.50 91.00 Horror 17 48.65 15.88 25.00 34.00 52.00 60.50 78.00 (a) Which genre has the highest mean audience score? The lowest mean audience score? (b) Which genre has the highest median score? The lowest median score? (c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score? (d) Which genre has the largest number of movies in that category? (e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and , for the mean horror score.
Answer:
Step-by-step explanation:
Hello!
(a) Which genre has the highest mean audience score? The lowest mean audience score?
1) Action [tex]\frac{}{X}_1[/tex]= 58.63
2) Comedy [tex]\frac{}{X}_2[/tex]= 59.11
3) Drama [tex]\frac{}{X} _3[/tex] = 72.10
4) Horror [tex]\frac{}{X}_4[/tex]= 48.65
The lowest mean score is [tex]\frac{}{X}_4[/tex]= 48.65
The highest mean score is [tex]\frac{}{X} _3[/tex] = 72.10
(b) Which genre has the highest median score? The lowest median score?
1) Action Me₁= 51.00
2) Comedy Me₂= 58.00
3) Drama Me₃= 72.00
4) Horror Me₄= 52.00
The Lowest median is Me₁= 51.00
The Highest median is Me₃= 72.00
(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?
Lowest or minimum scores:
1) Action 32.00
2) Comedy 31.00
3) Drama 46.00
4) Horror 25.00
The genre with the lowest score is "Comedy"
Highest or maximum scores:
1) Action 93.00
2) Comedy 93.00
3) Drama 91.00
4) Horror 78.00
There are two genres with the highest score "Action" and "Comedy"
(d) Which genre has the largest number of movies in that category?
The number of movies for each category corresponds to the sample sizes:
1) Action n₁= 32
2) Comedy n₂= 27
3) Drama n₃= 21
4) Horror n₄= 17
The largest number of movies sampled was for the genre "Action"
(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.
Comedy [tex]\frac{}{X}_C[/tex]= 59.11
Horror [tex]\frac{}{X}_H[/tex]= 48.65
[tex]\frac{}{X}_C[/tex] - [tex]\frac{}{X}_H[/tex]= 59.11 - 48.65= 10.46
I hope this helps!