The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.
6,6, 5, 8, 10
Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answers
Answer:
2
Step-by-step explanation:
Given: 5 quiz scores of a student in a statistics course are 6,6, 5, 8, 10
To find: standard deviation of the population
Solution:
Mean (M) = \(\frac{\sum_{i=1}^{n}x_i}{n}\)
here, \(x_i\) denotes number of observations and n denotes number of observations.
Variance = \(\frac{\sum_{i=1}^{n}(x_i-M)^2}{n-1}\)
Standard deviation = \(\sqrt{variance}\)
\(M=\frac{6+6+5+8+10}{5}=\frac{35}{5}=7\)
Variance = \(\frac{\sum_{i=1}^{n}(x_i-7)^2}{n-1}\)
\(=\frac{\left [ (6-7)^2+(6-7)^2+(5-7)^2+(8-7)^2+(10-7)^2 \right ]}{5-1}\\=\frac{1+1+4+1+9}{4}\\=\frac{16}{4}\\=4\)
Standard deviation = \(\sqrt{4}=2\)
Related Questions
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
Answers
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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contesten porfa
1: El resultado de la operación: (6 + 6) * (6 + 6) = *
48
144
78
256
2: El resultado de la operación: 6 + 6 * 6 + 6 = *
48
144
78
256
3: El resultado de: 4 + 5 * 2 = *
18
14
40
22
4: Si tenemos: 8 - [6 * (5 - 3) ] / 4. C¿Cuál es el resultado final? *
5
1.75
-1
6
5: El resultado de multiplicar la siguiente fracción es: (2/3) * (5/8) = *
5/12
18/15
15/18
10/24
6: El resultado de multiplicar la siguiente fracción es: (4/9) * (8) = *
32/72
72/4
4/72
32/9
7: El resultado de multiplicar la siguiente fracción es: (6) * (6/7) = *
36/42
42/36
36/7
7/36
8: El resultado de dividir la siguiente fraccion es: (8/13) / (2/10)= *
16/130
130/16
26/80
80/26
9: El resultado de dividir la siguiente fraccion es: (1/5) / (6)= *
6/30
6/5
1/30
61/5
10: El resultado de dividir la siguiente fraccion es: (8) / (6/7)= *
48/7
48/56
56/6
86/7
contesten porffaaaaa
rapidoooo
Answers
12 * 12 = 144
33 markers cost \$5.79$5.79dollar sign, 5, point, 79. Which equation would help determine the cost of 131313 markers? Choose 1 answer: Choose 1 answer: (Choice A) \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction A \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction (Choice B) \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction B \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction (Choice C) \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction C \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction (Choice D) \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction D \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction (Choice E) None of the above E None of the above Stuck?Review related articles/videos or use a hint. Report a problem
Answers
The cost of 13 markers is $326.17.
We have,
Let x be the cost of one marker.
3 markers cost $5.79.
We can set up a proportion:
3 markers / $5.79 = 1 marker / x
To determine the cost of 13 markers, we can use this proportion and solve for y, which represents the cost of 13 markers:
3 markers / $5.79 = 13 markers / y
Cross-multiplying
3 markers x y = $5.79 x 13 markers
Simplifying:
3y = $75.27
Dividing both sides by 3, we get:
y = $25.09
The equation that helps determine the cost of 13 markers is:
= 13 markers x $25.09 per marker
= $326.17
Thus,
The cost of 13 markers is $326.17.
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The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are differe
Answers
Both the domain and range of the transformed function are the same as those of the parent function.
What are Range and Domain?
The collection of all potential output values that a function can generate given its domain is known as its range.
The set of all potential input values for which a function is specified is referred to as its domain.
The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.
Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.
A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.
Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.
A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well
So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.
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Please give me the answer to this problem!!
Answers
Answer:
2nd option
Step-by-step explanation:
x is left and right
y is up and down
just look at the y coordinate for any point and translate 5 points down.
Answer:
Step-by-step explanation:
second answer
how would you simplify expressions with positive integral exponents?expressions with negative integral exponents?
Answers
Step-by-step explanation:
Simplifying Expressions with Integral Exponents. Multiplying Expressions with the Same Base. Dividing Expressions with the Same Base. Repeated Multiplication of a Number Raised to a Power. A Product Raised to an Integral Power. A Fraction Raised to an Integral Power. Raising a Number to a Zero Exponent.
Find value of x in trapezoid
Answers
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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A nurse has an annual income of $52,175. The income tax the nurse must pay is 9%. What is the amount of income tax in dollars and cents that the nurse must pay?
Answers
Answer:
The amount of income tax in dollars and cents is $4,695.75
Step-by-step explanation:
To find the amount of income tax that should be paid, we simply use the percentage said to be for the income tax
Mathematically;
income tax = 9% of 52,175
= 9/100 * 52175
= $4695.75
The income tax to be paid on the income is $52,175
Answer:4695.75
Step-by-step explanation:
Well if u made 52175 a whole then put 9 as a percentage you would cross multiply 52175 with 9 then divided with the whole percentage (100)
Type the correct answer in the box.
Rewrite the quadratic equation in the form y = a(x - h)² + k
Answers
The quadratic equation can be written as follows:
y = 5(x - 3)² + 50.
How to rewrite the quadratic function?The quadratic function in the context of this problem is defined as follows:
y = 5x² - 30x + 95
The coefficients of the quadratic function are given as follows:
a = 5, b = -30 and c = 95.
Then the x-coordinate of the vertex is given as follows:
h = -b/2a
h = 30/10
h = 3.
The y-coordinate of the vertex is given as follows:
h = 5(3)² - 30(3) + 95
h = 50.
Hence the equation is:
y = 5(x - 3)² + 50.
Missing InformationThe quadratic function in the context of this problem is defined as follows:
y = 5x² - 30x + 95
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help pleaseeeeeeeeeee
Answers
Answer:
1 the first
Step-by-step explanation:
I'm not sure
Find the conjugate and product of
i3 + i7
Answers
Answer:
Complex conjugate: 2i Product: -2iA technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter. The letters D, G, and Z and the digit 8 will not be used. So, there are 23 letters and 9 digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?
Answers
Using the concept of permutation, the company can generate 108,927 different employee ID codes.
How many employee ID codes can be generated?To know the number of employee ID codes that's generated, we can check the number of possibilities of each component and multiply them together.
Given:
- Two letters can be chosen from 23 letters (excluding D, G, and Z).
- One digit can be chosen from 9 digits.
- One letter can be chosen from 23 letters (excluding D, G, and Z).
Number of possibilities for the first letter = 23
Number of possibilities for the second letter = 23
Number of possibilities for the digit = 9
Number of possibilities for the third letter = 23
To calculate the total number of employee ID codes, we multiply these possibilities together:
By using the concept of permutation;
Total number of ID codes = 23 × 23 × 9 × 23
Total number of ID codes = 108,927
Therefore, the company can generate 108,927 different employee ID codes.
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You and your best friend have decided to go out Friday night to spend the money you received from having a great report card. The amount of money each received is $25. You are deciding if you would like to go bowling at Splitsville or go to a movie at Paragon Village.
Question : Write an equation to determine the number of friends who can come to the movie (Paragon Village) with both of you if you and your best friend put your money together and only buy one large combo.
Paragon Village: Tickets are $5 per person and a large combo (Large Popcorn and Large Drink) is S7 together.
Splitsville: Games are $6.00 per person and shoe reantal is $2.
I need help, please try you're best and show you're work(if you want). I need a eqation. Hope you the best of luck.
Answers
Answer:
Step-by-step explanation: X=-4y+4
Without graphing, tell whether each pair of lines is parallel, perpendicular, or neither.
Answers
(i) Given:
\(x=2,y=-5\)These two lines are straight lines and perpendicular to each other.
(ii) Given:
\(\begin{gathered} y=7x \\ y-28=7(x-4) \end{gathered}\)Since the slope of both equations is the same (m=7).
Hence, the lines are parallel.
(iii) Given:
\(\begin{gathered} y=2x-1 \\ y=\frac{1}{2}x+2 \end{gathered}\)The slope of the first equation is 2.
The slope of the second equation is 1/2.
Since they are neither parallel nor perpendicular.
Hence, the answer is neither.
(iv)Given:
\(\begin{gathered} y-3=\frac{1}{4}(x-3) \\ y+13=\frac{1}{4}(x+1) \end{gathered}\)Since the slope of both equations is the same.
That is,
\(m=\frac{1}{4}\)Hence, the lines are parallel.
I need help on These I’ll give you brainliest no links or I will report you
Answers
Answer:
Try It 1
Option C: 14
Try It 2
Option B: 6
Step-by-step explanation:
Definition GCF
The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder
Try It 1:
GCF of 14 and 28 is 14
This is the largest number that can divide both 14 and 28 evenly
So, Option C
Try It 2:
This problem is nothing but asking to find the GCF of 12, 24 and 30
The smallest number is 12
But 30 cannot be divided evenly by 12
Take 12/2 = 6
Yes, all 3 numbers can be divided evenly by 6
So the correct answer is 6 packs and is Option B
The usual approach to solving bigger problems of this type is to find the factors of each of the numbers and then proceed to find the number which is common to all and the highest value is taken which divides each number evenly
For 12, 24, 30:
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
As you can see 6 is common to all three numbers; so it is the GCF of 12, 24 and 30
\(\frac{1}{3}+\frac{1}{105}-\frac{1}{21}\)
Answers
find the percent if the whole is 4700 and the part is 305 and one half.
round to nearest tenth
Answers
Answer:
6.5%
Step-by-step explanation:
305.5/4700=0.065=6.5%
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Evaluate 3xy+w. If x=4, y=5 and w=-3
Help
Answers
Answer:
57
Step-by-step explanation:
Given:
x = 4
y = 5
w = -3
Work:
3xy + w
3(4)(5) + (-3)
12(5) - 3
60 - 3
57
2x - 7 + 3x = 4x + 2 need help with this one
Answers
Answer:
x = 9
Step-by-step explanation:
To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:
Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:
2x + 3x - 4x = 2 + 7
Simplifying the left side: x = 9
Simplify the right side of the equation:
x = 9
Therefore, the solution to the equation is x = 9.
Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?
Answers
Answer:
the son age is 13band Evans age is 52 years old at present day
Dan is 12 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the Age of Dan is x years
Mr. Evans Age = 4x
If Mr. Evans was 46 years old 2 years ago
The, Present age of Mr. Evans = 48 years
So, Dan's Age = 48/4
= 12 years.
Hence, Dan is 12 years old.
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Find the slope of the line through the points (5, -3) and (5, 4)
Answers
Answer:
Infinity
Step-by-step explanation:
Let one point is x1, y1 (5, -3)
the other is x2, y2 (5,4)
then slope = (y1-y2)/(x1-x2)
=(-3-4)/(5-5)
=-7/0
=Infinity
So slop is infinite
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
Answers
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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What is the missing number in the number sentence?
Answers
Answer:
the missing number is 47............
Answer:
47
Step-by-step explanation:
46+10=56. That means that ?+9 needs to equal 56.
56-9=47 which is the missing number.
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answers
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²tom buys a condominium for $42,600. he makes a down payment of 15%. what is the amount of the down payment?
Answers
Answer:
The down payment of $42,600 at 15% would be $6,390.
I need an answer to this,
Answers
Answer:
use what u learn from the teacher
Find the slope of the line.
A. -1/3
B. 1/3
C. 3
D. -3
Answers
Please solve as quick as possible!
Answers
Answer:
B
Step-by-step explanation:
whats the area of a parallelograms with a base of 8m height of 4m and width of 5 m
Answers
Answer:
Step-by-step explanation:
in a parallelogram
base(b) = 8 m
height(h) = 4 m
AREA
= b * h
= 8 * 4
= 32 m²
Answer:
I think this is the answer!
Step-by-step explanation:
A=b×h
A=6×7
A=42m²
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