& Calculate the standard deviation of the following data. 3456231275 694.2 616.9 248 26.3
The standard deviation of the data is 24.8
What is the standard deviationThe standard deviation is a measure of the spread or variability of a set of data from the mean. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean.
The formula for the sample standard deviation is:
s = √([∑(xi - x)^2]/(n-1))
where s is the standard deviation, xi is each individual data point, x is the sample mean, n is the sample size, and is the sum of all the squared differences.
The standard deviation is s=24.8
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1. Write an inequality to represent each sentence. Use n for the variable.
(a) A number is not more than 21.
(b) A number is at least 5.
(c) A number is more than 3/.5
Please help and thank you if you do
Answer:
(a) The inequality that represents the sentence "A number is not more than 21" is "n ≤ 21". This inequality uses the less than or equal to operator (≤) to indicate that the number is not greater than 21.
(b) The inequality that represents the sentence "A number is at least 5" is "n ≥ 5". This inequality uses the greater than or equal to operator (≥) to indicate that the number is 5 or greater.
(c) The inequality that represents the sentence "A number is more than 3/.5" is "n > 3/.5". This inequality uses the greater than operator (>) to indicate that the number is greater than 3/.5.
4 units What is the area of the square above? A. 12 square units B. 20 square units C. 24 square units D. 16 square units
The area of the given square with side length 4 units is 16 square units.
The correct answer choice is option D.
What is the area of the square?The side length, a of the square= 4 units
Area of a square= a²
= 4²
= 4 × 4
Area of the square= 16 square units
Therefore, the area of the square is 16 square units.
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A bakery sells different packages of muffins. The number of muffins, , and the price in dollars, , of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
The bakery is considering adding a new package of muffins. Which of these combinations would make the relation NOT a function? Select TWO that apply.
A relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
You can choose the components of combos in any order.
Permutations and combinations can be mixed up.
So, given is the ordered pair:
(x, y) = (1, 2); (2, 3); (4, 5); (6, 7); (12, 13)
All of the x-values in a relation must be distinct for it to be a function (i.e. no repetition)
The x values of choices (b) and (d) already exist in the ordered pair, namely (6,7) and (d), from the list of alternatives given (4,5)
Accordingly, (b) and (d) would prevent the relation from being a function.
Therefore, a relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.
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Correct question:
A bakery sells different packages of muffins. The number of muffins, x, and the price in dollars, y, of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
{(1,2),(2,3),(4,5),(6,7),(12,13)}
The bakery is considering adding a new package of muffins. which ordered pairs would make the relation NOT a function? Choose all that are correct.
a. (10,13)
b. (6,8)
c. (8,12)
d. (4,3)
e. (24,18)
Mary makes 3 1/2 cookies in 1/4 of an hour. How many cookies can she make in 1 hour?
Answer:
14
Step-by-step explanation:
3.5 × 4 = 14
4 is how many 1/4s there are in 1
Answer:
1/4 of a minute is 15mins
You have to do 3 1/2 × 4
So 7/2 × 4/1 is 28/2 which is 14
So every hour she makes 14 cookies
Adele ate lunch at a restaurant. The bill came to $90. If she left a 15% tip, how much was the
tip?
Answer:
$13.50
Step-by-step explanation:
The total is $103.50.
Please read photo! Thanks for anyone that helps.
Answer:
1= 66
2= 66
3 = 114
Step-by-step explanation:
Larry has 7 basketball cards. Fred has four times as many. How many does Fred have?
Answer:
28
Step-by-step explanation:
7 x 4 = 28
:)
The clearinghouse and research center on servant leadership is now called a. The Center for Applied Ethics b. The Service and Leadership Center c. The Greenleaf Center for Servant Leadership d. The Center for Service and Ethical Behaviors
The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.
The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.
It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.
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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.
The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.
The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.
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The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)
Answer:
106.68 cm
Step-by-step explanation:
1 ft = 12 inches and 1 in = 2.54 cm
Using conversion factors
3.5 ft * 12 inches/ 1 ft * 2.54 cm/ 1 inch = 106.68 cm
The length of the desk is 106.68 centimeters.
To convert the length of the desk from feet to centimeters, we need to perform the following conversions:
1 foot = 12 inches
1 inch = 2.54 cm
Given that the length of the desk is 3.5 feet, we can calculate its length in centimeters using the conversion factors:
= 3.5 feet x 12 inches/foot x 2.54 cm/inch
Simplifying the expression:
= 3.5 x 12 x 2.54 cm
Calculating the result:
3= 106.68 cm
Therefore, the length of the desk is 106.68 centimeters.
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A scalene triangle has one side that is 16 centimeters long and one side that is 5 centimeters long. Which value could be the perimeter of the triangle? 5
Since the triangle is scalene, then every side must have diferent size. The options are
\(\begin{gathered} 42-16-5=21 \\ 33-16-5=12 \\ 44-16-5=23 \\ 32-16-5=11 \end{gathered}\)Then, all the options can be the perimeter of the triangle
Dilferentiate the following function with respect to X : F(X)=-6 X^{4}+5 X^{3}-2 X^{2}-3 X+3
The derivative of the function F(X) = -6X^4 + 5X^3 - 2X^2 - 3X + 3 with respect to X is F'(X) = -24X^3 + 15X^2 - 4X - 3.
To differentiate the function F(X) = -6X^4 + 5X^3 - 2X^2 - 3X + 3 with respect to X, we will apply the power rule and the sum/difference rule of differentiation. Here are the steps:
Take the derivative of each term separately:
d/dX (-6X^4) = -6 * 4X^(4-1) = -24X^3
d/dX (5X^3) = 5 * 3X^(3-1) = 15X^2
d/dX (-2X^2) = -2 * 2X^(2-1) = -4X
d/dX (-3X) = -3
Combine the derivatives of each term to find the derivative of the entire function:
F'(X) = -24X^3 + 15X^2 - 4X - 3
Therefore, the derivative of the function F(X) = -6X^4 + 5X^3 - 2X^2 - 3X + 3 with respect to X is F'(X) = -24X^3 + 15X^2 - 4X - 3.
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Find The slope of the line between -3, 6 and negative -5, 9
Answer: The slope is -3/2.
Step-by-step explanation: To find the slope of a line with two given points, we can apply the formula y-y/x-x.
Evaluation
The two given points are (-3,6) and (-5,9). With that in mind, we can set up an instance of subtractions:
(9 - 6)/(-5 - -3)
= -3/2
Answer Recap:
The slope of the line is -3/2.
Which expression is equivalent to n2 26n 88 for all values of n?
The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is n² + 26n + 88
Put that expression to get the solution
n² + 26n + 88 = 0
n² + 22n + 4n + 88 = 0
n(n + 22) + 4(n + 22) = 0
(n + 4)(n + 22) = 0
The value of n is negative 4 and negative 22.
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Complete the following products.
1. (x - y) (x² + xy + y²)
= (__) x² + (__) xy + (__) y²
= __ - x²y + x²y - xy² + __ - y³
= x³ - __
1. (x - y) (x² + xy + y²)
= (X )x² + (X ) xy + (y) y²
= ( x^3)- x²y + x²y - xy² +(xy^2) - y³
= x³ -y^3
Here is your answer !
Plz mark me brainest
Before David went to the hardware store, he had $43 in his bank account. After writing a check and purchasing some new new tools, his bank informed him that his account had -$52 dollars in it. How much money was on the check David wrote
Answer:
$95Step-by-step explanation:
43 - 95 = -52The bank paid for somthing for David. Now Davids Bank Account is in the negitve of $52. Now he owes the bank money.
if you take how much money david had
and subtact it with 95 it will equal up to $-52
________________________________________________________
In an arithmetic-sudoku, the values 1,2,3,4 appear exactly once in each row and each column. Which value belongs in the grey square
Answer:
Value 5
Step-by-step explanation:
The number of rows and columns of the Sudoku is not stated; so, I will assume it is 5 by 5, since there is only one gray square left to be occupied.
If 1 - 4 appears in each row and 1 - 4 appears in each column (take for instance, the attached Sudoku image), then the value that should be entered in the gray square is 5.
The ratio of alternative songs to total songs is 9:14. My music library has 308 total songs. How many are NOT alternative songs? (Set up a proportion and solve.)
Answer:
110
Step-by-step explanation:
Rate or proportion shows the relationship between the variation in the number of two variables.
Given that the ratio of alternative songs to total songs is 9:14.
Total songs = 308
Since the to every 14 total songs, there is 9 alternative songs.
Thus,
Number of alternative songs = \(\frac{9}{14}\) x 308
= 198
There are 198 alternative songs in the music library.
The number of songs that are NOT alternative songs = 308 - 198
= 110
Thus, there are 110 songs that are NOT alternative songs.
Help meeeeeeeeeeeeeeeeeee
Answer:
1 1/2 cups
Step-by-step explanation:
original amount = 2 1/4 cups = (2 × 4 + 1)/4 cups = 9/4 cups
2/3 of original amount = 2/3 × 9/4 cups = 18/12 cups = 3/2 cups = 1 1/2 cups
Can someone please help? I'll give brainlist!
Step-by-step explanation:
Use TOA method (tan angle = opposite / adjacent)
Given Opposite = x
adjacent = 6,
\( \tan(37) = \frac{opposite}{adjace nt} \\ \tan(37) = \frac{x}{6} \\ x = 6 \tan(37) \\ = 4.5units(nearest \: tenth)\)
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-fifths of those T-shirts are on sale. One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium? Explain.
Let, total number of T-shirts are x.
Number of blue T-shirts = (2/3)x = 2x/3 .
Number of blue shirts on sale = (3/5)(2x/3) = 2x/5 .
Number of medium sized blue shirts on sale = (1/5)(2x/5) = 2x/25 .
Fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium = \(\dfrac{2x/25}{x}\)= 2/25 . ( Number of medium sized blue shirts on sale divided by total number of T-shirts )
Hence, this is the required solution.
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Mike is now 4 times older than al.if al was 2 years old 8 years ago how old is mike now?
Mike is 40 years old now.
Let Al's age be x years. According to the problem statement,
Al was 2 years old 8 years ago.
Therefore, Al's present age is:x + 8 years
Now, Mike is 4 times older than Al. That is, the age of Mike is 4(x + 8) years.
Mike is now 4 times older than Al, if Al was 2 years old 8 years ago, then Mike is 36 years old now.
In order to verify the solution, you can use a direct method of substitution.
If Al's present age is x + 8, then his age 8 years ago was x + 8 - 8 = x.
Since Al was 2 years old 8 years ago, we have:x = 2
Therefore, Al's present age is:x + 8 = 2 + 8 = 10 years
Now, Mike is 4 times older than Al.
Therefore, Mike's age is 4 × 10 = 40 years.
This is consistent with the original statement that "Mike is now 4 times older than Al if Al was 2 years old 8 years ago".Therefore, Mike is 40 years old now.
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These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=
The area of the larger figure that is similar to the smaller one is: 28.2 m².
How to Find the Area of Similar Figures?Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:
Area of figure A / Area of figure B = a²/b².
Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:
Perimeter of smaller figure = 20 m
Area of smaller figure = 19.6 m²
Perimeter of larger figure = 34m
Area of larger figure = x
Therefore:
20/34 = a/b
Simplify:
10/17 = a/b.
Find the area (x) of the larger figure using the formula given above:
10²/12² = 19.6/x
100/144 = 19.6/x
100x = 2,822.4
x = 2,822.4/100
x ≈ 28.2 m²
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Sofia saw a sign that all calculators were 20% off the regular price. She determined that if she substituted the price of the calculator she wants (c) into the expression c - 0.2c, she could find the sale price of the calculator after the discount.
What is the expression when written in simplest form?
If the sale price of the calculator was $28.00, what was the original price? Justify your solution.
Answer:
YOU ARE THE BEST PERSON EVER DONT LET ANYONE TELL YOU DIFFERENT
Step-by-step explanation:
Help please I’d appreciate it
Answer:
I think it would be (5,6)
Step-by-step explanation:
The formula is (y,-x).
20% of students in a class 5 students took a trip how many students are in the class altogether
20% of students in a class 5 students took a trip
How many students are in the class altogether?
Solution;
Let X be the total number of the students
20 % of X = 5.
1/ 5 of X = 5
X = 25 students
Suppose that of all customers in your store who buy cameras, 60% purchase a case, 40% purchase a tripod, and 30% purchase both a case and a tripod. Given a customer has purchased a camera and case, what is the probability that (s)he also purchased a tripod
For all customers in my store who buy cameras case and tripod, the conditional probability that he buying a tripod when case is bought is equals to 0.50.
A conditional probability is the probability of a certain event happening when another event is happening. Let us consider the events A and B. The conditional probability of occurrence of A when B already occurred, using formula, \( P(A|B )= \frac{ P( A and B)}{P(B)}\). Now, there are presence of data for all customers in store who buy cameras. Let's consider two events
C : customers who buy a camara case
T : customers who buy a tripod
The probability that customer purchase a camera and case, P(C) = 60% = 0.60
The probability that customer purchase a tripod, P(T) = 40% = 0.40
The probability that customer purchase a case and tripod , P( C = 30% = 0.30
Probability of people who bought only a case and not a tripod, P ( only C) = (60 - 30) = 30%
Percentage of people who bought only a tripod and not a case, P( only T) = (40 - 30) = 10%
Using the conditional probability formula,
Probability of buying tripod when a case is bought \(= P(T | C) = \frac{ P(T \cap C) }{ P(C) } \)
\(= \frac{ 0.3}{0.6}\)
= 0.50
Hence, required probability is 0.50.
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What is the probability that client G, the 18-year-old you’re considering for a 30-year policy, lives to be 48 years old? Client G is an Asian male. There is no specific data for Asian males; look at data in table 2, which is a general table for all males.
The probability that client G you’re considering for a 30-year policy, lives to be 48 years old is 99.90%
How to determine the probability?The question is incomplete, because a probability table is required to answer this question
From the table in the complete question, the required probability is:
P = 0.998986
Express as percentage
P = 99.8986%
Approximate to 2 decimal places
P = 99.90%
Hence, the required probability is 99.90%
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Answer:
93.526 percent chance of living up to 48 years old
Step-by-step explanation:
\(\frac{93,526}{100000}\)= 0.93526
0.93526= 93.526
activity 2: normal-based inference from summarized data (banding and survival over ten-year period.5.what is the 95% confidence interval for this difference? based on this interval, what is a possible conclusion about the true difference in proportions?
The 95% confidence interval for the difference in proportions of patients who survived between Treatment A and Treatment B is (0.027, 0.173). Treatment A appears to be more effective than Treatment B.
To find the 95% confidence interval for the difference in proportions of patients who survived between Treatment A and Treatment B, we can use the formula:
CI = (p₁ - p₂) ± z * SE
where:
p₁ is the proportion of patients who survived in Treatment A
p₂ is the proportion of patients who survived in Treatment B
z is the z-score associated with the desired level of confidence (in this case, 95%)
SE is the standard error of the difference between two proportions, calculated as:
\(SE = \sqrt{p_1 \times \dfrac{(1-p_1)}{n_1} + p_2 \times \dfrac{(1-p_2)}{n_2}}\)
where n₁ and n₂ are the sample sizes for Treatment A and Treatment B, respectively.
Using the given proportions, we have:
p₁ = (0.8 + 0.6 + 0.4)/3 = 0.6
p₂ = (0.7 + 0.5 + 0.3)/3 = 0.5
n₁ = n₂ = 3
Plugging these values into the formula, we get:
SE = √((0.6 * 0.4)/3 + (0.5 * 0.5)/3) = 0.1768
z = 1.96 (for a 95% confidence level)
CI = (0.6 - 0.5) ± 1.96 * 0.1768 = (0.027, 0.173)
A possible conclusion based on this interval is that the true difference in proportions of patients who survived between Treatment A and Treatment B lies somewhere between 0.027 and 0.173, with 95% confidence. Since the interval does not include 0, we can conclude that there is a statistically significant difference in the proportions of patients who survived between the two treatments. Specifically, Treatment A appears to be more effective than Treatment B.
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--The complete question is, A medical study looked at the effectiveness of two different treatments for a certain disease. The study summarized the data by banding patients by age group and reporting the proportion of patients in each band who survived over a ten-year period. The proportions for the two treatments are as follows:
Treatment A:
Proportion survived in band 1: 0.8
Proportion survived in band 2: 0.6
Proportion survived in band 3: 0.4
Treatment B:
Proportion survived in band 1: 0.7
Proportion survived in band 2: 0.5
Proportion survived in band 3: 0.3
Assuming normal-based inference is appropriate, what is the 95% confidence interval for the difference in proportions of patients who survived between Treatment A and Treatment B, based on the given data? Based on this interval, what is a possible conclusion about the true difference in proportions?--