Zach asked Nick to get 15 of their fans on memoryBank to rate his new song, 'The Gene Mixer', on a scale ranging from 0 (the worst thing you've ever recorded) to 10 (the best thing you've ever recorded). The ratings were: 3,5,7,8,2,4,10,8,8,5,5,7,9,10,6. Calculate the mean, standard deviation, median, range and interquartile range for these ratings of the song. Is the mean in puzzle 9 a good 'fit' to the data? Explain your answer.

Answers

Answer 1

The mean rating for the song 'The Gene Mixer' is 6.533, with a standard deviation of approximately 2.563, a median of 6, a range of 8, and an interquartile range of 3.

To calculate the mean rating, we sum up all the ratings (3+5+7+8+2+4+10+8+8+5+5+7+9+10+6) and divide it by the total number of ratings (15). The mean is calculated as 97/15, which equals 6.533.

The standard deviation is a measure of the dispersion or spread of the ratings around the mean. It quantifies the variability in the data set. To calculate the standard deviation, we first find the deviation of each rating from the mean, square the deviations, sum them up, divide by the number of ratings minus 1, and finally take the square root. In this case, the standard deviation is approximately 2.563.

The median is the middle value when the ratings are arranged in ascending order. In this case, the ratings are already listed, so the median is the eighth value, which is 6.

The range is the difference between the highest and lowest ratings. The highest rating in this data set is 10, and the lowest is 2. Therefore, the range is 10-2=8.

The interquartile range is a measure of the spread of the middle 50% of the ratings. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). In this case, the interquartile range is 7-4=3.

As for whether the mean is a good 'fit' to the data, it depends on the context and the desired interpretation. The mean represents the average rating and can be influenced by extreme values. In this case, the mean rating of 6.533 indicates that, on average, the song received ratings slightly above average. However, it's important to consider the distribution of ratings and the presence of any outliers. If the ratings are relatively evenly distributed, the mean can be a reasonable representation. If there are extreme ratings or the distribution is skewed, the mean may not accurately reflect the overall perception of the song. Therefore, a comprehensive analysis would involve considering other factors, such as the standard deviation, median, and individual ratings, to gain a more complete understanding of the data.

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Related Questions

Identify the type of function represented by f(x)=4 x 2^x

Identify the type of function represented by f(x)=4 x 2^x

Answers

Answer:

exponential growth

Step-by-step explanation:

f(x) is in the form  a* b^x

where a is the initial value and b is the growth/ decay factor

since b > 1 it is growth

This is the exponential form of a function

We have exponential growth

I need help, please i'll try to give you the brainliest.

I need help, please i'll try to give you the brainliest.

Answers

Answer:

6 times -3

Step-by-step explanation:

PEMDAS

perenthesis, exponents, multiplication, division, addition, subtraction

Answer:

-12 ÷6

-2×(-3)

6+8=14

Step-by-step explanation:

a group of preschoolers has 2 boys and 30 girls. what os the ratio of boys to all childern

Answers

Answer:

1 boy to 15 girls.

Step-by-step explanation:

Since there is only two boys, I divided each number by two and got 1 to 15. Have an amazing day!

The ratio of boys to all children in the group is 1:16.

Given that in a group there are 2 boys and 30 girls.

We need to find the ratio of boys to all children.

To find the ratio of boys to all children in the group, we need to add the number of boys and girls together to get the total number of children.

Then, we can express the number of boys as a fraction of the total number of children.

Number of boys = 2

Number of girls = 30

Total number of children = Number of boys + Number of girls

Total number of children = 2 + 30 = 32

Now, we can express the number of boys as a fraction of the total number of children:

Ratio of boys to all children = Number of boys / Total number of children

Ratio of boys to all children = 2 / 32

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

Ratio of boys to all children = 1 / 16

So, the ratio of boys to all children in the group is 1:16.

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Find the area of the trapezoid

Find the area of the trapezoid

Answers

Answer:

112

Step-by-step explanation:

add both bases the multiply by the height

Answer:

112

13 + 15

= 28 ÷ 2

= 14 × 8

= 112

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

16

Step-by-step explanation:

no image, but 6 + 2 + 2 + 6 = 16

Question 3. Find the horizontal and vertical asymptotes, if any of them exists. (a) f(x) = |x|(2x²+3) 2³ +8 (b) f(x) = (c) f(x)= (d) f(x)= (e) f(x) = (f) f(x)= (g) f(x)= (h) f(x) = = (x²-4)√x²+6 x³ + x²- - 6x ²+1 x-3 2r|x-1| x²-1 2-4 2-4 3x²|x2| 2³-8 2²-4x+4

Answers

Explanation cannot be summarized in one row as it requires multiple factors and considerations to determine the asymptotes of different functions.

What are the steps to determine the horizontal and vertical asymptotes of a given function?

In order to find the horizontal and vertical asymptotes of a function, we need to analyze its behavior as x approaches infinity or negative infinity.

In the given question, we are provided with multiple functions (a) to (h) and asked to find their asymptotes, if any exist.

To find the horizontal asymptote, we look at the highest degree term in the numerator and denominator.

If the degrees are equal, the horizontal asymptote is the ratio of their coefficients.

If the degree of the numerator is greater, there is no horizontal asymptote.

For vertical asymptotes, we examine the values of x that make the denominator zero.

These values represent vertical lines that the graph approaches but never crosses.

By analyzing the given functions based on these criteria, we can determine whether they have horizontal or vertical asymptotes, if any.

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Hey can someone pleasse help

Hey can someone pleasse help

Answers

Answer:

73.6

Step-by-step explanation:

Use the table below to answer question 9.
x -3 0 1 3
f(x) 12 0 0 6
g(x) 39 3 7 39
h(x) -14 1 -2 -20
2*f(3)-3*g(1)+h(3)=

Answers

answer:

-29

step-by-step explanation:

you need a graphing calculator.

so, let's start by setting up a table (for my sake because that text is confusing)

x       f(x)      g(x)      h(x)

-3      12        39          -14

0       0         3           1

1        0         7           -2

3       6        39         -20

okay, that's out of the way. now, your equation is 2 * f(3) - 3 * g(1) + h(3).

for f(3), we look at the chart to see which f(x) value matches x=3.

f(3) = 6

same with g(1) and h(3)

g(1) = 7

h(3) = -20

now, replacing the functions(x) with their numbers is the next step.

2 * 6 - 3 *7 + (-20)

(2*6) - (3*7) - 20

(12) - (21) - 20 = -29

Calculate the coefficient of variation of the age of a group of people with a mean age of 55 and a standard deviation of 11
A. 25
B. 22.5
C. 20
D. 15

Answers

The coefficient of variation for the age of the group of people is approximately 20%. Thus, the correct option is C. 20.

The coefficient of variation (CV) is a measure of relative variability and is calculated as the ratio of the standard deviation to the mean, expressed as a percentage.

To find the coefficient of variation for the age of a group of people with a mean age of 55 and a standard deviation of 11, we can use the following formula:

CV = (Standard Deviation / Mean) * 100

Plugging in the values, we get:

CV = (11 / 55) * 100

CV ≈ 20

Therefore, the coefficient of variation for the age of the group of people is approximately 20%. Thus, the correct option is C. 20.

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what's 2 plus 2 plus 2 need help now will give brianlist and 22 points

Ps the answer is 6 I just don want the points.

Answers

Answer: 6

Step-by-step explanation:

Answer:

6?? lol what

Step-by-step explanation:

Can someone please s were these TWO questions!? GIVING BRAINLIEST!!!

Can someone please s were these TWO questions!? GIVING BRAINLIEST!!!

Answers

\(5\frac{2}{9} +1\frac{4}{6}\)

\(5\frac{4}{18}+1\frac{12}{18}\) \(=6\frac{16}{18}\)\(=6\frac{48}{54}\)

1. answer = \(6\frac{48}{54}\)

\(2\frac{5}{8} +4\frac{2}{3} =2\frac{15}{24} +4\frac{14}{24} =7\frac{5}{24}\)

2. answer = \(7\frac{7}{24}\)

i got 7 5/24, but you can go ahead and pick 7 7/24 since that's not one of the choices!

Sheila is making accessories for the soccer team. She uses 623.22 inches of fabric on headbands for 32 players and 2 coaches. She also uses 276.16 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

26.96 inches of fabrics per person

Step-by-step explanation:

Headband

Number of players = 32

Number of coaches = 2

Total people = 32 + 2 = 34

Total fabrics used for headband = 623.22 inches

Fabrics per person = Total fabrics used for headband / Total people

= 623.22/34

= 18.33 inches per person

Wristband

Number of players = 32

Total fabrics used for wristband = 276.16 inches

Fabrics per person = Total fabrics used for wristband / Number of players

= 276.16 / 32

= 8.63 inches per person

Total fabrics used for headband and wristband for each player = 18.33 inches + 8.63 inches

= 26.96 inches of fabrics per person

Simplify 4x + 3(5x) + 4y - x =​

Answers

Answer:

= 18x + 4y hope this helps :)

Step-by-step explanation:

Answer:

18x+4y

Step-by-step explanation:

I need help. Only do number 34.

I need help. Only do number 34.

Answers

Answer:

Amplitude: 3

Period: 2π

Step-by-step explanation:

Divide the polynomials. Your answer should be in the form p(x) + k/x where p is a polynomials and k is an integer. 4x^4-x^2+3/x

Answers

Answer:

Step-by-step explanation:

4\(x^{4}\)-x²+3 / x =  

So, we need to think about this problem as either what we have to multiply x by to get the equation, and do long division

= 4x³- x + \(\frac{3}{x}\)

for a perfectly symmetrical distribution with µ = 30, what is the mode?

Answers

In a perfectly symmetrical distribution with a mean (µ) of 30, there is no specific mode because all values occur with equal frequency.

In a perfectly symmetrical distribution, such as a symmetric bell-shaped curve or a uniform distribution, each value occurs with the same frequency. This means that there is no value that occurs more frequently than others, resulting in multiple modes or no mode at all.

The mode is typically used to identify the most common value in a dataset, but in a perfectly symmetrical distribution, all values have equal frequency, and there is no single mode. Instead, the distribution is characterized by its symmetry around the mean (µ). The mean represents the central tendency of the distribution, indicating the balance point of the data. In this case, with a mean of 30, the distribution is centered around this value, with equal numbers of observations on either side.

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Determine whether the following statement pattern is a tautology or a contradiction or contingency:(p→q)∨(q→p) 

Answers

The given  statement pattern is a tautology.

To determine whether the following statement pattern is a tautology, a contradiction, or a contingency: (p→q)∨(q→p), follow these steps:

1. Write out the truth table for p and q:
  p | q
  -----
  T | T
  T | F
  F | T
  F | F

2. Calculate the truth values for (p→q) and (q→p) using the implication rule (p→q is false only when p is true and q is false):
  (p→q) | (q→p)
  -----------
   T     |   T
   F     |   T
   T     |   F
   T     |   T

3. Finally, calculate the truth values for the given statement pattern (p→q)∨(q→p) using the disjunction rule (a disjunction is true if at least one of the statements is true):
  (p→q)∨(q→p)
  ---------
     T
     T
     T
     T

Since the statement pattern (p→q)∨(q→p) is true for all possible truth values of p and q, it is a tautology.

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Which fraction is in simplest form? Responses A. B. C. D.

Answers

Answer:

hey so you know they the fractions arent there

Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2

Based on the family the graph below belongs to, which equation could represent the graph?y=2^x+3y=log(2x)+3y=2x

Answers

c because it is the answer

Do number 4 a please thank you

Do number 4 a please thank you

Answers

Answer for 4a. 25(n + 6)

Reason

The product (means to multiply)
Six more than a number (n + 6)
And 25 (other multiplier)

Expression is 25(n+ 6)

Let T: R3 + R2 be the map TT (x, y, z) + (x2 + yz, ecyz) and w be the 2-form w = uvụ du 1 dv = Then calculate and simplify the following TW T*w Next, use this to calculate and simplify the following d(7*w) Do not use the fact that d(*W) = ** (dw). =

Answers

To calculate TW, substitute the coordinates (x, y, z) into T(x, y, z) = (x²+ yz, e^cyz). For Tˣw, substitute the coordinates (u, v) into Tˣw = u(x^2 + yz)dv. To calculate d(7ˣw), differentiate 7ˣw using exterior differentiation: d(7ˣw) = 7(du∧v + udv∧dv).

What is the calculation process for TW, Tˣw, and d(7ˣw) in the given scenario?

The map T: R³ → R²  is defined as T(x, y, z) = (x²   + yz, e^cyz), and the 2-form w is given as w = uvdv.

To calculate TW, we substitute the coordinates (x, y, z) into the map T and obtain T(x, y, z) = (x²   + yz, e^cyz).

Next, we calculate T³w by substituting the coordinates (u, v) into the 2-form w. Since w = uvdv, we have Tˣw = u(x²   + yz)dv.

To calculate d(7ˣw), we differentiate the 2-form 7ˣw. Since w = uvdv, we have d(7ˣw) = d(7uvdv). Using the properties of exterior differentiation, we obtain d(7ˣw) = 7d(uv)∧dv = 7(du∧v + udv∧dv).

It's important to note that we are not using the fact that d(ˣw) = ˣˣ(dw) in this calculation.

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Calculate the compound interest on investing $600 for 3 years at 7% per annum.​

Answers

Answer:

After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03

Step-by-step explanation:

I need help with this.

I need help with this.

Answers

k=121 degrees

t=29 degrees

d=30 degrees



Find the missing terms of each arithmetic sequence. (Hint: The arithmetic mean of the first and fifth terms is the third term.) 660, a₂ , a ₃, a₄, 744, . . . . .. . . . .

Answers

The missing terms of the arithmetic sequence are a₂ = 1032 and a₄ = 372.

To find the missing terms of the arithmetic sequence, we can use the given hint that the arithmetic mean of the first and fifth terms is the third term.

The first term is 660 and the fifth term is 744. The arithmetic mean of the first and fifth terms is (660 + 744) / 2 = 702.

So, the third term (a₃) is 702.

Now, let's find the common difference between consecutive terms.

The difference between the first and second terms is a₂ - 660, the difference between the second and third terms is a₃ - a₂, and the difference between the third and fourth terms is a₄ - a₃.

Since it is an arithmetic sequence, all these differences should be equal.

So, we have a₂ - 660 = a₃ - a₂ = a₄ - a₃.

We know that a₃ is 702.

So, a₂ - 660 = 702 - a₂.

Simplifying this equation, we get 2a₂ = 702 + 660, which gives us a₂ = 702 + 660 / 2 = 1032.

Similarly, we can find a₄ by substituting the value of a₃ into the equation a₄ - a₃ = a₃ - a₂.

Therefore, a₄ - 702 = 702 - 1032.

Simplifying this equation, we get a₄ = 702 - 1032 + 702 = 372.

So, the missing terms are a₂ = 1032 and a₄ = 372.

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if the expression above is written in the form a bi, where a and b are real numbers, what is the value of b?

Answers

The required, expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

To find the value of b in the expression (3 + 4i)^2, we can simply expand the expression and identify the coefficient of the imaginary part.

(3 + 4i)² = (3 + 4i)(3 + 4i)

Using the FOIL method, we can multiply the terms:

= 3 * 3 + 3 * 4i + 4i * 3 + 4i * 4i

= 9 + 12i + 12i + 16i²

Since i² is defined as -1, we can substitute it:

= 9 + 12i + 12i - 16

= -7 + 24i

Comparing the expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

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Complete question:

(3+4i)²

if the expression above is written in the form a+ bi, where a and b are real numbers, what is the value of b?

Using the function w=7d+13 which statement is true.

A. the independent variable is w
B. The independent variable is d
C. the dependent variable is
D. the independent variable is 7

Answers

A is the answer the independant variable is w

Answer:

B: The independent variable is d.

Step-by-step explanation:

I took the test on K12

Calculate the number of moles of Neon-20 gas present in a 20.00 L container at 400.0 K at 151.0kPa of pressure if the gas is assumed ideal. 4.00 mol Determine the mass of the Neon-20 gas. (Remember Neon-20 is an isotope with a mass number of 20.) ______g

Answers

The mass of Neon-20 gas would be 1.8114 g.

The ideal gas law states that PV = nRT. Rearranging the equation, we get:

n = PV/RT

n = (151.0 kPa x 20.00 L) / [(8.314 J/K*mol) x 400.0 K]

n = 0.09057 moles

Neon-20 gas is present in a 20.00 L container at 400.0 K at 151.0 kPa of pressure.

The molar mass of Neon-20 is 20 g/mol. Therefore, the mass of Neon-20 gas would be:

Number of moles x Molar mass = Mass

n x M = 0.09057 moles x 20 g/mol

n x M = 1.8114 g

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Hot dogs are sold in packages of 10. Hot dog buns are
sold in packages of 8. What is the least number of
packages of each that need to be purchased so every
hot dog you buy for a picnic will have a bun?

Answers

Answer:

4 Hot dogs packages and 5 hot dog buns packages.

Step-by-step explanation:

This question seems to be regarding the LCM or the least common multiple. Least common multiple is found by figuring out the first time when both numbers, in this case 10 and 8 have the multiple. You can do this by setting up a table with the multiples of each number.

8  | 16 | 24 | 32 | 40

10 | 20| 30 | 40

We can see that the LCM is 40 so we can see that we need 4 Hot Dog packets and 5 buns packets.

2 values that add up to -40 and 6

Answers

Answer:

-20 + -20=-40 4+2=6

Step-by-step explanation:

-20 + -20=40

4+2=6

Answer:

-20 + -20=-40 4+2=6

-20 + -20=40

4+2=6

Step-by-step explanation:

Brainlist
Show all steps on how you got the answer and I will make you brainlist

BrainlistShow all steps on how you got the answer and I will make you brainlist
BrainlistShow all steps on how you got the answer and I will make you brainlist

Answers

Answer:

52mm

Step-by-step explanation:

(4x3)2+(4x4)+4x3= 52mm

triangle sides+square sides+bottom square side= answer

Hope this helps :)

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