The probability of less than 14 successes in a binomial distribution with n = 18 and p = 0.6 is approximately 0.9917, or about 99.17%.
To find the probability of less than 14 successes in a binomial distribution with parameters n = 18 and p = 0.6, we need to sum the probabilities of all the possible outcomes where the number of successes is less than 14.
We can use the cumulative distribution function (CDF) of the binomial distribution to calculate this probability. The CDF gives the probability of getting up to a certain number of successes, and can be calculated as follows:
P(X < k) = Σ(i=0 to k-1) C(n, i) * p^i * (1-p)^(n-i)
where X is the binomial random variable, n is the number of trials, p is the probability of success, k is the number of successes we want to calculate the probability for, and C(n, i) is the binomial coefficient, which is equal to n choose i.
Using this formula, we can calculate the probability of less than 14 successes as follows:
P(X < 14) = Σ(i=0 to 13) C(18, i) * 0.6^i * 0.4^(18-i)
We can use a calculator or a computer program to evaluate this sum. Alternatively, we can use a binomial probability table to look up the values of the probabilities for each value of i from 0 to 13, and then add them up.
Using a calculator or a computer program, we can find that:
P(X < 14) = 0.9917 (rounded to 4 decimal places)
Therefore, the probability of less than 14 successes in a binomial distribution with n = 18 and p = 0.6 is approximately 0.9917, or about 99.17%.
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The record for the largest scoop of ice cream was made in Wisconsin. Thebscoop of ice cream was 3,010 pounds! How many ounces of ice cream is that?
Answer:
48160
Step-by-step explanation:
(3-6 arithmetic sequences as linear functions)
1. -4, -2, 0, 2, ...
2. 1/2, 5/8, 3/4, 13/16
1. -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.
2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.
What is mean by arithmetic sequence?An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.
We use the common difference to go from one term to another.
Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.
If the common difference between consecutive terms is positive, we say that the sequence is increasing.On the other hand, when the difference is negative we say that the sequence is decreasing.The given sequence can only be an arithmetic sequences if they have same common difference
1.
2-0 = 2
0 - (-2) = 2
-2 -(-4) = 2
Thus, the given sequence is an arithmetic sequences with a common difference of 2.
2.
13/16-3/4 = 1/16
3/4 -5/8 = 1/8
5/8 - 1/2 = 1/8
Thus, the given sequence is not an arithmetic sequences.
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Complete question:
Arithmetic Sequences as Linear Functions.
Determine whether each sequence is an arithmetic sequence. Write yes or no.
1. -4, -2, 0, 2, ...
2. 1/2, 5/8, 3/4, 13/16 ...
ol
1) During summer, the height of the
water in a pool decreases by 4
inches each week due to
evaporation. What is the change in
the height of the water over a six-
week period?
Math
A) 24 Inches
B) 1.5 Inches
C) -1.5 Inches
D) -24 Inches
Answer:
-24 inches
Step-by-step explanation:
solve the simultaneous Equation using the two
methods
4m=n +7
3m+ 4n+9=0
Elimination method:
4m = n + 7
3m + 4n + 9 = 0
First, let's get the equations in the same form.
4m - n - 7 = 0
3m + 4n + 9 = 0
Now let's make multiply the first equation by 4 so we can eliminate n.
16m - 4n - 28 = 0
+3m + 4n + 9 = 0
Now we can add the equations.
16m + 3m - 4n + 4n - 28 + 9 = 0
19m + 0n - 19 = 0
19m - 19 = 0
19m = 19
m = 1
Now we put m back into one (or both) of the original equations.
4(1) = n + 7
4 = n + 7
n = -3
If you plug m into the other equation, you get the same result.
Substitution method:
4m = n + 7
3m + 4n + 9 = 0
With this method, we plug one of the equations into the other one. I'm going to use m in the second equation as a substitute for m in the second equation.
3m + 4n + 9 = 0
3m = -4n - 9
m = (-4/3)n - 3
Now I can substitute the right side into the first equation like so:
4[(-4/3)n - 3] = n + 7
(-16n)/3 - 12 = n + 7
(-16n)/3 = n + 19
-16n = 3(n + 19)
-16n = 3n + 57
0 = 16n + 3n + 57
0 = 19n + 57
0 = 19n/19 + 57/19
0 = n + 3
-3 = n
And then we put that back into one of the original equations.
4m = n + 7
4m = -3 + 7
4m = 4
m = 1
Hopefully you learned something from this.
What is the slope of the line that passes through the points (-5, 8) and
(-5, 4)? Write your answer in simplest form
Answer:
Step-by-step explanation:
I'm pretty sure its undefined :))
Urgent just the answer please
Explanation:
Vertical angles are always opposite one another, and they form after intersecting two lines. Vertical angles are always congruent (i.e. the same measure).
Q9. If there are implicit costs of production, a. accounting profit will exceed economic profit. b. economic profit will always be zero. c. economic profit will exceed accounting profit. d. accounting profit will always be zero. e. economic profit and accounting profit will be equal
If there are implicit costs of production, economic profit will be lower than accounting profit.
Implicit costs refer to the opportunity costs of using resources in a particular production process. These costs are not explicitly recorded in accounting statements but represent the value of alternative uses of resources. When implicit costs exist, economic profit will be lower than accounting profit. Accounting profit is calculated by subtracting only explicit costs, such as wages, rent, and materials, from total revenue.
On the other hand, economic profit takes into account both explicit and implicit costs. Implicit costs represent the foregone opportunities or benefits that could have been obtained if resources were used in alternative ways. Since accounting profit does not consider these opportunity costs, it is generally higher than economic profit. Economic profit reflects the true economic performance of a business by considering all costs, both explicit and implicit.
Therefore, if there are implicit costs of production, economic profit will be lower than accounting profit.
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A: accounting profit will exceed economic profit.
Implicit costs of production refer to the opportunity cost of using resources that a firm already owns rather than selling them in the market. These costs are not reflected in accounting records but are included in economic analysis. Accounting profit is calculated by subtracting only explicit costs from total revenue, while economic profit is calculated by subtracting both explicit and implicit costs from total revenue. Since accounting profit does not include implicit costs, it will always be higher than economic profit. In some cases, economic profit may even be negative, indicating that a firm is better off not producing anything at all. Thus, option A is the correct answer. Option B is incorrect because economic profit can be positive or negative. Option C is incorrect because economic profit is always lower than accounting profit. Option D is incorrect because accounting profit can be positive or negative. Option E is incorrect because economic profit and accounting profit are not always equal.
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i need help with surface area
A spool of ribbon is 24 yards long. Jamal uses 3/5 of the total ribbon.
HURRY PLEASE!!
The number of yards of ribbon Jamal used is 14.4 yards.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, a spool of ribbon is 24 yards long.
Jamal uses 3/5 of the total ribbon.
So, number of yards = 3/5 ×24
= 3×4.8
= 14.4 yards
Therefore, the number of yards of ribbon Jamal used is 14.4 yards.
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HELP ASAP PLEASE
13. <1 and < 2 are supplementary. If <1 = 2y = 9 and m<2 = 3y-4, what is the measure of <1?
*
m<1 = 35
m<1 = 101
m<1 = 13
m<1 = 79
Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.
Hence, option D)79° is the correct answer.
What is the measure of ∠1?Supplementary angles refer to the pair of angles that sum up to 180 degree.
Given the data in the question;
∠1 and ∠2 are supplementary∠1 = 2y + 9∠2 = 3y - 4Measure of ∠1 = ?Since ∠1 and ∠2 supplementary angles, they will sum up to 180 degree.
∠1 + ∠2 = 180°
(2y + 9) + (3y - 4) = 180
Solve for y
2y + 9 + 3y - 4 = 180
5y + 5 = 180
5y = 180 - 5
5y = 175
y = 175/5
y = 35
Hence, the measure of ∠1 will be;
∠1 = 2y + 9
∠1 = 2(35) + 9
∠1 = 70 + 9
∠1 = 79°
Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.
Hence, option D)79° is the correct answer.
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If α is chosen by the analyst to be .025 and X2o= 14.15 with 4 degrees of freedom, what is our conclusion for the hypothesis test if H1: σ > σ0?
a.Reject H0.
b.Fail to Reject H0.
c.Accept H1.
d.Reject H1
There is sufficient evidence to support the alternative hypothesis H1: σ > σ0. Hence, the answer is option a. Reject H0.
If α is chosen by the analyst to be .025 and X2o= 14.15 with 4 degrees of freedom, then our conclusion for the hypothesis test if H1: σ > σ0 would be: Reject H0.
A hypothesis test is a statistical method of evaluating a claim or assumption about a population parameter based on sample data. A hypothesis test assesses the likelihood of two competing hypotheses, the null hypothesis (H0) and the alternative hypothesis (H1), being true.
A hypothesis test involves comparing a test statistic with a critical value determined from a probability distribution.If the test statistic is less than the critical value, the null hypothesis is not rejected. If the test statistic is greater than the critical value, the null hypothesis is rejected.
The chi-square test is a statistical test that determines if two categorical variables are related or independent of one another. It compares the observed frequencies of categories in a contingency table to the expected frequencies of categories based on a null hypothesis and assesses the likelihood that any difference between the observed and expected frequencies is due to chance or a significant difference exists between the variables.
To determine if the observed frequencies are significantly different from the expected frequencies, a chi-square test statistic is calculated. This statistic is then compared to a critical value from a chi-square distribution with degrees of freedom determined by the size of the contingency table.
Let's apply all the information to solve the problem given above.If the analyst has chosen α= 0.025, then the level of significance or probability of making a Type I error is 0.025.
As a result, we'll compare the critical value with the test statistic to determine if the null hypothesis should be rejected or not.The test statistic X²o=14.15 with 4 degrees of freedom for the given problem statement.
Using a chi-square distribution table with 4 degrees of freedom and α=0.025, we find that the critical value is 9.49.Since the test statistic X²o (14.15) is greater than the critical value (9.49), we reject the null hypothesis H0.
Therefore, we conclude that there is sufficient evidence to support the alternative hypothesis H1: σ > σ0. Hence, the answer is option a. Reject H0.
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1
2
3
4
5
Which two points on the number line represent numbers that can be combined to make zero?
A
B
CD
+
-9-8
-5-4-3-2-1 0
2 3 4 5 6 7 8 9
OB and D
O A and B
O C and D
A and C
TIM
Based on the number line provided, the two points that can be combined to make zero are: -5 (Point C) and 5 (Point D)
So, the correct answer is: O C and D
A number line is a visual representation of numbers where each point on the line corresponds to a real number. The line is typically drawn horizontally and extends infinitely in both directions, with zero (0) located at the center.
To use a number line, you can mark specific points on the line to represent different numbers. For example, if you want to represent the number 2 on a number line, you would mark a point two units to the right of the origin (0). Similarly, to represent the number -3, you would mark a point three units to the left of the origin.
Number lines are useful tools for understanding the relationships between numbers and for performing arithmetic operations such as addition, subtraction, multiplication, and division. They can also be used to visualize mathematical concepts such as fractions, decimals, and negative numbers.
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kumiko decides to buy the same number of apps and games, and she decides to spend as much of the $50 as possible. how many apps and games does she buy? how much money does she have left on her gift card?
The linear inequality representing the number of apps and games that Kumiko can buy is \(1.25a+2.5g\leq50\).
Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "."
The linear inequality representing the number of apps and games that Kumiko can buy is \(1.25a+2.5g\leq50\).
What is Inequality?Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both.
The number of apps Kumiko buy is a and the number of games she can buy is g.
The gift card has 50$.
Total amount of apps = 1.25a
Total amount of games = 2.5g
So, the linear equality will be \(1.25a+2.5g\leq50\).
She can can only games and apps for amount less than and equal to $50.
Therefore, The linear inequality representing the number of apps and games that Kumiko can buy is \(1.25a+2.5g\leq50\).
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The given question is Incomplete. Here is the complete question:
Kumiko has a $50 gift card for a Web site that sells apps and games. Games cost $2.50 each, and apps cost $1.25 each. Write an inequality that represents the number of apps a and the number of games g that Kumiko can buy and describe any constraints.
Right triangles 1-2 and 3 are given with all their angle measures and approximate side lengths.
Use one of the triangles to approximate the ratio WY/WX
A. 0.34
B. 0.94
C. 1.06
D. 2.76
Answer:
0.34
Step-by-step explanation:
Considering the right-angled triangle XYW, an approximate ratio WY/WX is equal to 0.34. The correct option is A.
What is a right-angled triangle?A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Considering the right-angled triangle XYW, we would apply the law of cosine to approximate the ratio WY/WX. Mathematically, the law of cosine is given by:
cos(θ) = Adj/Hyp
Where:
Adj is the adjacent side of a right-angled triangle.
Hyp is the hypotenuse of a right-angled triangle.
θ is the angle.
Substituting the given parameters into the formula, we have;
cos(θ) = WY/WX
cos(70) = 3.4/10
0.34 = 0.34.
Therefore, the correct option is A.
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Please help and show work, will give lots of points!
Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)
What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish
Answer:
The linear equation is y = 450 - 30 x, where y is the number of pages
Lourdes has left to read after x days
Step-by-step explanation:
Each day, Lourdes reads 30 pages of a 450-page book
- We need to write a linear equation to represent the number of pages
Lourdes has left to read after x days
∵ Lourdes reads 30 pages each day
∵ Lourdes will read for x days
∴ The number of pages Lourdes will read in x day = 30 x
- The left pages will be the difference between the total pages of the
book and the pages Lourdes read
∵ The book has 450 pages
∵ Loured will read 30 x in x days
∴ The number of pages left = 450 - 30 x
- Assume that y represents the number of pages Lourdes has left
to read after x days
∴ y = 450 - 30 x
The linear equation is y = 450 - 30 x, where y is the number of
pages Lourdes has left to read after x days
x + y =7 What is the answer show your work
Answer:
x = 3y = 4.There are infinite solutions. I'll just give you this solution.Step-by-step explanation:
Given equation:
x + y = 7Solve for variables:
7 - x = y7 - 3 = 47 - y = x7 - 4 = 3.Answers:
x = 3y = 4.For every two-dimensional set C contained in R^2 for which the integral exists, let Q(C)=∬c(x^2+y^2dxdy)
If C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1} C2 ={(x,y):−1≤x≤1,−1≤y≤1} and C3 = {(x,y):x^2 + y^2 ≤1}, find Q (C1), Q(C2), Q (C3)
The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.
For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.
Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).
C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}
Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.
C2 ={(x,y):−1≤x≤1,−1≤y≤1}
Q(C2) = Q(C1) = 4.
C3 = {(x,y):x^2 + y^2 ≤1}
Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.
In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
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What are the coordinates of point P on the directed line
segment from R to Q such that P is the length of the
line segment from R to Q? Round to the nearest tenth,
if necessary.
Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.
what is coordinates ?A point's location on a line or in space can be determined using a set of numbers called coordinates. An x-coordinate and a como, which denote the horizontal as well as vertical ranges from a bench mark known as the origin, are the two numbers that make up coordinates in two-dimensional space. Three numbers, the x, y, and z coordinates, which describe the distances from origin in the x, y, and g directions, respectively, might make up coordinates in three-dimensional space. Among other disciplines, coordinates are frequently employed in physics, arithmetic, and geometry.
given
The midpoint of the line segment from R to Q, which is the precise halfway point between R and Q, must be located in order to determine the coordinates of point P.
We can separately aver the x- and y-coordinates to get the middle.
The midpoint's x-coordinate is (4 + 8)/2, which equals 6.
(0 + 6)/2 = 3 is the midpoint's y-coordinate.
Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.
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Answer:
(-3.5 , 2.3)
Step-by-step explanation:
I know
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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How do you write 10x10x10x10 in exponential form?
Answer:
10^4
Step-by-step explanation:
10= 10^1
10x10 = 10^2 (2 10s)
10x10x10=10^3 (3 10s)
10x10x10x10=10^4 (4 10s)
basically the number of 10s you are multiplying will be the number of exponents you will use in this case.
Raj completed his homework in 5/6 hour. His older brother took 1½ times as long as Raj did to
complete his homework.
How long did it take Raj's older brother to complete his homework?
Answer:
B
Step-by-step explanation:
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
what is the correct way to label the entire line segment shown
Answer:Yea looks like you have it already C
Step-by-step explanation:
Write the slipe-intercept form of the equation of each line given the slope and y-intercept.
Please helppp!!!! i will give brainliest!!
Answer:
1. -1/2
2. 3/-2
3. 1/2/2
4. 7/2
Step-by-step explanation:
Hope it helped
Please help me on this I am stuck and I need help ASAP
Answer:
Grace is right
Step-by-step explanation:
3(2-x)-2(6x-8)=
so:
3×2 is 6
3×(-x) is -3x
-2×6x is -12x
-2×(-8) is 16 because -×- equals +
3(2-x)-2(6x-8)
=6-3x-12x+16
= -15x+22
Answer:
Grace
Step-by-step explanation:
Chelsea is wrong because the -2(6x - 8) cancels out the subtraction in the bracket so it should be -12x + 16
Roan did the same.
Please mark me Brainliest
Tyrel estimates that he can average $6.20 per hour throughout the week on all the jobs he does. Last week he werked 18.75 hours. If his estimate was correct, how much did he earn last week?
Answer:
he earned 116.25 double check tho I'm not sure
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
Answer:
$0
Step-by-step explanation:
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
$75 beginning balance - $75 withdrawal = $0
The circle is rotated around the horizontal dashed line. Which type of geometrical figure will be generated?
A.
cylinder
B.
sphere
C.
ring
D.
cylindrical shell
When the circle is rotated around the horizontal dashed line, the resultant figure is a sphere.
What is a circle?A circle is a round figure. The sum of angles in a circle is 360 degrees. The circle could be rotated to yield another figure.
Thus, when a circle such as the one here is rotated around the horizontal dashed line, the resultant figure is a sphere.
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Answer:
Sphere
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
find the gradient of a line passing through the coordinates A(3;9) and B(4;-1)
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
\((\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-1}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{3}}} \implies \cfrac{ -10 }{ 1 } \implies - 10\)
A company determines the mean and standard deviation of the employees' salaries in one year. What is the best description of the standard deviation?
Approximately the median distance between the individual salaries of employees and the mean of every employee's salary.
The amount of money separating the highest salary from the lowest salary when considering the middle 50% of the distribution.
The amount of money separating the highest salary from the lowest salary when considering all employees.
The distance between the salary of an employee and the mean salary of all the employees.
Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries.
The best description of the standard deviation is "Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries."
Standard deviation, denoted by σ, is defined as the measure which indicates the average distance of the observations from the mean of the data set. It tells how spread out numbers are. It is equal to the square root of the variance. Variance is the average of the squared differences from the mean.
For the given problem, the standard deviation can be describe as the average(mean) distance of the individual salaries of employees from the mean of all employees' salaries.
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