Question 14 of 14, Step 1 of 212/19CorrectConsider the following sets of sample data:A: 4.39.4.47.4.21. 3.86, 3.72, 3.64.3.77.4.60, 3.82, 4.87.3.94, 2.91, 4.88, 4.21B: 4.8.3.9.2.8. 3.8. 4.7. 1.7.3.6, 2.2.4.8.3.2. 1.9Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.AnswerHow to enter your answer (opens in new window)CV for Data Set :%CV for Data Set B:%
Answers
Given:
Given the two sample data:
A: 4.39, 4.47, 4.21, 3.86, 3.72, 3.64, 3.77, 4.60, 3.82, 4.87, 3.94, 2.91, 4.88, 4.21
B: 4.8.3.9.2.8. 3.8. 4.7. 1.7.3.6, 2.2.4.8.3.2. 1.9
Required: Coefficient of variation of data A and B
Explanation:
First, find the CV of sample data A.
Find the mean.
\(\begin{gathered} \bar{x}=\frac{\sum x_i}{n} \\ =\frac{4.39+4.47+4.21+3.86+3.72+3.64+3.77+4.60+3.82+4.87+3.94+2.91+4.88+4.21}{14} \\ =\frac{57.29}{14} \\ =4.092143 \end{gathered}\)Find the sum of squares.
\(\begin{gathered} \text{ Sum of squares}=\sum(x_i-\bar{x})^2 \\ =3.738236 \end{gathered}\)Calculate the standard deviation.
\(\begin{gathered} s=\sqrt{\frac{\sum(x_i-\bar{x})^2}{n-1}} \\ =\sqrt{\frac{3.738236}{14-1}} \\ =0.536243 \end{gathered}\)Coefficient of variation of sample data A is
\(\begin{gathered} CV=\frac{s}{\bar{x}} \\ =\frac{0.536243}{4.092143} \\ =0.131 \\ =13.1\% \end{gathered}\)Now, find the coefficient of variation of sample data B.
Find the mean.
\(\begin{gathered} \bar{x}=\frac{\sum x_i}{n} \\ =\frac{4.8+3.9+2.8+3.8+4.7+1.7+3.6+2.2+4.8+3.2+1.9}{11} \\ =\frac{37.4}{11} \\ =3.4 \end{gathered}\)Find the sum of squares.
\(\begin{gathered} \text{ Sum of squares =}\sum(x_i-\bar{x})^2 \\ =13.04 \end{gathered}\)Calculate the standard deviation.
\(\begin{gathered} s=\sqrt{\frac{\sum(x_i-\bar{x})^2}{n-1}} \\ =\sqrt{\frac{13.04}{11-1}} \\ =1.141928 \end{gathered}\)Calculate the coefficient of variation.
\(\begin{gathered} CV=\frac{s}{\bar{x}} \\ =\frac{1.141928}{3.4} \\ =0.336 \\ =33.6\% \end{gathered}\)Final Answer: CV of Data Set A = 13.1%
CV of Data Set B = 33.6%
Related Questions
QUICK! 40 points. Consider this cone with the diameter measure of 17 inches.
A cone with diameter 17 inches and slant height of 22 inches.
What is the surface area of the cone?
SA = Pir2 + Pirl
A. 204Pi in.2
B. 259.25Pi in.2
C. 446.25Pi in.2
D. 663Pi in.2
Answers
259.25π in² is the surface area of the cone
The surface area of a cone can be calculated using the formula SA = πr² + πrl
where r is the radius and l is the slant height.
Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.
The slant height (l) is given as 22 inches.
Substituting these values into the formula:
Surface Area = π(8.5)² + π(8.5)(22)
= 72.25π + 187π
= 259.25π
Therefore, the surface area of the cone is 259.25π in²
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Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answers
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
The administration conducted a survey to determine the proportion of students who ride a bike to campus. Of the 123 students surveyed 5 ride a bike to campus. Which of the following is a reason the administration should not calculate a confidence interval to estimate the proportion of all students who ride a bike to campus. Which of the following is a reason the administration should not calculate a confidence interval to estimate the proportion of all students who ride a bike to campus? Check all that apply.
a. The sample needs to be random but we don’t know if it is.
b. The actual count of bike riders is too small.
c. The actual count of those who do not ride a bike to campus is too small.
d. n*^p is not greater than 10.
e. n*(1−^p)is not greater than 10.
Answers
Answer:
b. The actual count of bike riders is too small.
d. n*p is not greater than 10.
Step-by-step explanation:
Confidence interval for a proportion:
To be possible to build a confidence interval for a proportion, the sample needs to have at least 10 successes, that is, \(np \geq 10\) and at least 10 failures, that is, \(n(1-p) \geq 10\)
Of the 123 students surveyed 5 ride a bike to campus.
Less than 10 successes, that is:
The actual count of bike riders is too small, or \(np < 10\), and thus, options b and d are correct.
Find the area of the circle whose diameter is 68 cm
Answers
Answer:
1156πcm²
Step-by-step explanation:
Diameter = 68cm
Therefore radius = 68 ÷ 2 = 34cm
Area of a circle = πr²
= π × 34cm × 34cm
= π × 1156cm
= 1156πcm²
NOTE: In case you're given the value of pi, substitute it into the formula to get your answer
PLEASE HELP
A sample of 5 boys is chosen at random from each group. Complete the probability
distribution table for the number of boys in each sample with a top ten first name.
Give your probabilities to 4 decimal places.
Answers
The probability of choosing no boys is 0.
The probability of choosing 1 boy is 0.2.
The probability of choosing 2 boys is 0.4.
The probability of choosing 3 boys is 0.6.
The probability of choosing 4 boy is 0.8.
The The probability of choosing 5 boys is 1.
How to calculate the probabilityProbability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true. In this case, the probability of an event us usually represented as a number between 0 and 1.
The probability of choosing 1 boy is :
= 1 / 5
= 0.2.
The probability of choosing 2 boys is:
= 2 / 5
= 0.4.
The probability of choosing 3 boys is:
= 3/5
= 0.6.
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Match the ratios that are equivalent to the choices provided.
1. 40:60 A. 1:3
2. 21:24 B. 2:5
3. 3:9 C. 7:8
4. 8:20 D. 10:15
Answers
The ratios that are equivalent to the choices provided are matched as;
1. 40: 60 = 10:15 (Option D)
2. 21:24 = 7:8(Option C)
3. 3:9 = 1: 3 (Option A)
4. 8:20 = 2: 5( option B)
What is ratio?Ratio can be defined as a mathematical comparison of expressions, numbers or variables based on the size difference or relation.
Ratio tells us how many times a particular number or variables contains another.
Also, note that equivalent ratios are those ratios whose solution gives the same value but is represented in a different way.
From the information given, we have the ratios;
40: 60
This is represented as;
10:15 when divided by 4 each
21: 24 when divided by 3 each gives;
7: 8
3: 9 when divided by 3 each gives
1: 3
8: 20 when divided by 4 each gives;
2: 5
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solve the system substitution y= 4x + 1 and 3x+2y =13
Answers
Given :
\({\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}\)
\({\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}\)
Now, Substituing the value of y in equation (ii) :
\({\qquad \sf \dashrightarrow \: 3x + 2y = 13 }\)
\({\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }\)
\({\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }\)
\({\qquad \sf \dashrightarrow \: 11x + 2 = 13 }\)
\({\qquad \sf \dashrightarrow \: 11x = 13 - 2 }\)
\({\qquad \sf \dashrightarrow \: 11x = 11 }\)
\({\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }\)
\({\qquad \sf \dashrightarrow \bf \: x = 1 }\)
Now, substituting the value of x in equation (i) :
\({\qquad \sf \dashrightarrow y= 4x + 1}\)
\({\qquad \sf \dashrightarrow y= 4(1) + 1}\)
\({\qquad \sf \dashrightarrow y= 4 + 1}\)
\({\qquad \bf \dashrightarrow y= 5}\)
The price of a phone is decreased by 19% and now is $319.14. Find the original price
Answers
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
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explain or not idc lol
Answers
Answer:
B, 20,000
Step-by-step explanation:
429 X 48 = 20,598
If you estimate, it would be 20,000.
So, there you know B, 20,000 is your answer.
Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. he reported his data in the following list.
13, 0 , 14 , 36, 18, 9
Find the mean absolute deviation (mad) of the data set. ___ minutes
Answers
The mean absolute deviation (MAD) of the data set is equal to 180.625.
The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.
Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)
x bar =average value of the given data set
n= total number of data set
xi = data value in a given set
According to the question,
x bar = sum of all the data set / total number of the data set
x bar = 2052/16 = 128.25
Substitute the value in the formula, we have
Mean absolute deviation = 2890/16 = 180.625
Hence, the Mean absolute deviation of the data set is equal to 180.625.
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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5
The term Mean absolute deviation in math is defined as the average distance of each observation of data set and the mean of the data set.
Here we have given the following data.
=> 13, 0 , 14 , 36, 18, 9
Then the mean of the data is calculated as,
=> (13 + 0 + 14 + 36 + 18 + 9)/6
=> 90/6
=> 15
Now, we have to the Substitute the value in the formula, we have
And then the Mean absolute deviation is calculated as,
=> (90 + 15)/6
=> 105/6
=> 17.5
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A receipe calls for 3/8 cup of chocolate chips and 1 1/2 cups of walnuts. Tameka wants to double the recipe. How many cups of walnuts will she use
Answers
Answer:
3 cups
Step-by-step explanation:
1 1/2 + 1 1/2 = 3
If f(x) = 5x+4, which of the following is the inverse of f(x)?
O A. f-1(x) = x-5
4
O B. f-¹(x) = X54
x-4
O C. f¹(x) = 5x-4
OD. f(x)=4-5x
Answers
Answer:
\(f^{-1}(x)=\frac{x-4}{5}\)
Step-by-step explanation:
1. replace f(x) with x, and x with y: x=5y+4
2. solve for y: x=5y+4
⇒ x-4=5y
⇒ (x-4)/5=y
3. replace y with f⁻¹(x)
You and your client are reviewing a section of pipe on a construction plan. The client says the pipe length is 7 feet 5 1/8 inches. You need to write the pipe length on the plan as a decimal number of feet rounded to the nearest 0.01 foot. What decimal number u write on the plan?
Answers
The length of section of pipe on the construction plan on conversion of units from feet to inches, 7 feet 5 1/8 inches will be 7.427 feet. On rounding off to the two places after decimal the length will be 7.43 feet.
How do we convert feet to inches or vice versa?We know that 1 foot = 12 inches. In order to convert feet into inches we'll multiply the given number by 12. Similarly to convert given inches to feet, we'll divide the given number by 12.
Here the length of pipe= 7 feet 5 1/8 inches
To convert 5 1/8 inches to feet: Divide by 12 {1 foot =12 inches}
=\(\frac{41}{8\\}\) ÷ 12
=\(\frac{41}{8}\) × \(\frac{1}{12\\}\)
5 1/8 inches =\(\frac{41}{96\\}\) feet
Now, 7 feet 5 1/8 inches = 7 feet + \(\frac{41}{96} \\\) feet
= 7 feet + 0.4270 feet
=7.4270 feet
=7.43 feet
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What is the 70th term in the sequence? 4, 8, 12, 16...
Answers
Answer:
276
Step-by-step explanation:
that's the correct answer
Answer:<3
Step-by-step explanation: 280 is right on acellus
Draw the image of each figure. Then describe the transformation
Answers
Answer:
shoot this might take a while to figure out give me a bit
Step-by-step explanation:
Bradley sold at least 127 juices and coffees. He sold nine more juices than coffee ‘s. What is the minimum amount of coffees Bradley could have sold? And do your answer in the box
Please help
Answers
Answer:
59
Step-by-step explanation:
c=coffee, j=juice
c + j >=127
j = c +9
c + c + 9 >=127
2c >=127-9
2c>=118
c>= 59
check by 59+59+9=127
pls help me with all 3 questions! correct answer will get brainliest and a kiss...
Answers
Answer:
1.union = {20 21 22 23 25 27 29}
2. intersection = {5 14 22}
3.1/3
Step-by-step explanation:
1. union U of sets a nd b ={20 21 22 23 25 27 29}
2. intersection n of sets a nd b = {5 14 22}
3. probability = one item / total
= 1/3
1.
A. {22, 25, 27, 29}
B. {20, 21, 22, 23}
Answer: A∪B = {22, 25, 27, 29, 20, 21, 23}
2.
A. {1, 5, 10, 14, 22}
B. {5, 14, 20, 22, 27}
Answer: A∩B = {5, 14, 22}
3.
A. {1, 5, 10, 14, 22}
B. {5, 14, 20, 22, 27}
Answer: The three items that are intersecting each have a 1/3 chance of being chosen.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
c = √5.1^2 + 7.4^2
c ≈ 8.98721
c = 9.0 ( corr. to nearest tenth)
Step-by-step explanation:
simple this is a right angle triangle, 90⁰, the red box inside the triangle indicates 90⁰
cos 90=7.4/c
c cos 90 = 7.4
c= 7.4/cos 90
c = 0
What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
Answers
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
Please help me with this proof.
Answers
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answers
Answer:
43.6 has 3 significant figures.
[3x (4.6÷2)] +14.1 =
Answers
Answer:
21
Step-by-step explanation:
PEMDAS : Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
First, we want to deal with the parenthesis within the parenthesis.
(4.6/2) = 2.3
Rewrite it into the equation.
[3 * 2.3] + 14.1 = ?
Now, do the work in the parenthesis again.
[6.9] + 14.1 = ?
There isn't anymore parenthesis, exponents, or multiplication/division, so we move onto addition now and add both terms.
6.9 + 14.1 = 21
? = 21
The answer is 21.
Please help I’ll mark you as brainliest if correct!!
Answers
Answer:
a) 27 b) 5 c) 16 d) 7
Step-by-step explanation:
Pleaseee help I need a visual to do this. I'll really appreciate it
Answers
The visual that can help you in creating a 3D structure using rectangular prism and others is given in the image attached.
What is the 3D structure creation?3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.
In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure will see and work within the real world.
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See text below
1. Start by creating a rectangular prism
as the base of your structure. This will
be the main structure that includes
the walls and interior rooms.
2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.
3. Add another cylindrical tower to the opposite corner of the rectangular
prism. Again, adjust the size and
height to your liking.
4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-
shaped roof to the other cylindrical tower.
5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.
6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.
7. Add a rectangular prism
perpendicular to the main structure,
creating an L-shape. This can be a
separate building or an extension of
the main structure.
8. Add a pyramid-shaped roof to the new
rectangular prism, and a cone-shaped roof to the cylindrical tower on the
opposite side of the main structure. 9. Finally, add spheres as decorative
elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,
pyramids, or cones, as long as you have at least 2 of each of the 5
required shapes.
sam rented a truck for one day there was a base fee of 18.99 and there was an additional fee of 79 cents for each mile driven. Sam had to pay 213.33 when he returned the truck how many miles did he drive the truck.
Answers
Sam drove approximately 246 miles.
Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:
213.33 - 18.99 = 194.34
We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:
194.34 = 0.79x
where x is the number of miles driven.
To solve for x, we can divide both sides of the equation by 0.79:
x = 194.34 / 0.79 ≈ 246
Therefore, Sam drove approximately 246 miles.
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Help pls i dont understand this
Answers
The percentage increase in the number of water bottles the company manufactured from February to April is 19%.
How to find the percentage increase ?In March, the company manufactured 7% more water bottles than in February:
Number of water bottles in March = 4,100 + 7% of 4,100
Number of water bottles in March = 4,387
In April, the company manufactured 500 more water bottles than in March:
Number of water bottles in April = 4,387 + 500
Number of water bottles in April = 4,887
To find the percent increase from February to April, we can use the following formula:
percent increase = (new value - old value) / old value x 100%
percent increase = (4,887 - 4,100) / 4,100 * 100%
percent increase = 787 / 4,100 x 100%
percent increase = 19%
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what’s -14 = -2(2x+2)
Answers
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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The temperature of an enclosure for a pet snake should be about 80°F, give or take 5°F. What are the maximum and minimum temperatures of the enclosure?
Answers
Answer:
The max is 85F
The min is 75F
Step-by-step explanation:
For the max 80+5=85F
For the min 80-5=75F
Minimal=75
Your subtracting 5 from 80 and 85