The IQR (Interquartile Range) of 13 is the most accurate measure of variability to use in this scenario, since the data is skewed and contains outliers.
What is data?
Data refers to any information, facts, or statistics that are collected, stored, and analyzed for a specific purpose. Data can take many forms, such as text, numbers, images, audio, and video, and can be generated from a variety of sources, including sensors, surveys, transactions, and social media.
Here,
The range, which is the difference between the maximum and minimum values (59 - 10 = 49), may be affected by extreme values that are far from the majority of the data. In this case, the donations of 10 and 59 are outliers and may distort the range as a measure of variability.
On the other hand, the IQR, which is the range of the middle 50% of the data (the difference between the third quartile and the first quartile), is a robust measure of variability that is not sensitive to outliers. The IQR in this case is calculated as follows:
First quartile \((Q_1)\) = 42
Third quartile \((Q_3)\) = 53
\(IQR = Q_3 - Q_1 = 53 - 42 = 11\)
Therefore, the IQR of 13 is a more accurate measure of variability to use in this scenario, as it represents the spread of the majority of the data and is not influenced by the extreme values.
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What is the slope for y=200-5x
Answer:
5
Step-by-step explanation:
The slope is 5 because the equation is y = 200-5x where 5 is the slope because it is the rate of change.
The athletic department asks 1000 students if they have been to a football game in the last year. The results indicate that 733 students said yes (Y), 162 said no (N), and 105 did not respond (NR). Use the information given above to make a relative frequency distribution showing the percentage of students in each of the three categories. (Round your answers to one decimal place.) Response Percentage Y 1 X % N 2 % 3 NR %
The relative frequency distribution of the three categories includes
Yes (Y): 73.3%No (N): 16.2%No Response (NR): 10.5%How do we get the categories relative frequency distribution?We must get percentage of students in Yes (Y), No (N) and No Response (NR) categories to allow us to create the relative frequency distribution for the athletic department.
Data:
The total number of students surveyed is 1000.
The percentage of students who answered Yes will be:
= (Y / Total) * 100
= (733 / 1000) * 100
= 73.3%
The percentage of students who answered No will be:
= (N / Total) * 100
= (162 / 1000) * 100
= 16.2%
The percentage of students who did not respond will be:
= (NR / Total) * 100
= (105 / 1000) * 100
= 10.5%.
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Jason is baking a cake. The recipe calls for 2 cups of sugar for every 5 cups of flour. If he is making a small cake and is only using 1 cup sugar, how many cups of flour should he use? *
Answer:
2 1/2 cups
Step-by-step explanation:
First, our ratio is sugar:flour or 2:5, so our question is 1:? We find ? by finding how we got to 1 on the other side.
2 ÷ 2 = 1
And what we do to one side, we always have to do to the other to make it proportional, so
5 ÷ 2 = 2.5 or 2 1/2
So, if Jason is using 1 cup of sugar, he should use 2 1/2 cups of flour
hope this helps
two integers that multiply to -20 and add to 1
Answer:
-4 and 5
Step-by-step explanation:
Answer: 5 and -4
Step-by-step explan
In ΔDEF, the measure of ∠F=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure of ∠D to the nearest tenth of a degree.
Answer:
\(\theta=38.42 \textdegree\)
Step-by-step explanation:
From the question we are told that:
Angle of F \(\angle F=90 \textdegree\)
Length of \(EF = 2.3 feet,\)
Length of \(FD= 2.9 feet,\)
Generally the equation for Angle D \(\theta\) is mathematically given by
Since \(\angle F=90\).The triangle is a right angle Triangle
Therefore
\(tan \theta=\frac{EF}{FD}\)
\(tan \theta=\frac{2.3}{2.9}\)
\(\theta=tan^{-1} 0.793\)
\(\theta=38.42 \textdegree\)
help please, i know it may seem easy but I'm in a speed class sorry
Answer:
for every 5 roses there's 1 plant(s)
Step-by-step explanation:
What are the lengths of the major and minor axes of the ellipse?
(x−3)227+(y+4)245=1
The lengths of the major and minor axis are 4√6 and 4√3.
What is Major and Minor Axis?A point on a curve is described by an ellipse if its location is such that the sum of the distances between its two focal points is a constant.
(x−h)²/ b² +(y- k)² /a² = 1
Given:
(x−3)²/ 27+(y+4)² /45=1
The above equation can be compared to the standard equation of an ellipse
(x−h)²/ b² +(y- k)² /a² = 1
where, (h, k) = coordinates of the center of the ellipse
a = length of the semi major axis
b = length of the semi minor axis
By comparison, we have;
(h, k) = (3, -4)
a = √(24) = 2 x√6
b = √(12) = 2 x√3
and, length of the major axis = 2a
length of the minor axis = 2b
Thus, The length of the major axis is
2x a = 2 × 2 x √6 = 4√6
and, length of the minor axis is
2•b = 2 × 2√3 = 4√3
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Answer: 6sqrt(5) and 6sqrt(3)
Step-by-step explanation:
I took the test and these were the correct answers.
Simplify the expression so there is only one positive power for each base.
i hope you understand
Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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Through time, horse have changed significantly. which is not a type of change seen in the horse population?
Solitary animals to herd animals are the type of change which is not seen in the horse population.
Solitary animal, an animal that does not live with others in its species. Solitary but social, a type of social organization in biology where individuals forage alone but share sleeping space.
Many animals naturally live and travel together in groups called herds. Goats, sheep, and llamas, for instance, live in herds as a form of protection. They move from one fertile grassland to another without an organized direction. Predators such as lions, wolves, and coyotes pose major risks to domestic herds.
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Writing to give opinions about the future roles of science and technology
In considering the future roles of science and technology, it is evident that they will continue to play significant and transformative roles in various aspects of our lives.
From healthcare advancements to environmental solutions and innovative communication tools, science and technology will shape the future in numerous ways. However, careful consideration and ethical frameworks must be established to ensure responsible use and mitigate potential risks associated with their rapid development. The future roles of science and technology are bound to be immense and far-reaching. Advancements in fields such as healthcare hold great promise for improving medical treatments, disease prevention, and overall well-being.
From personalized medicine to cutting-edge therapies, science and technology will drive innovative breakthroughs that will revolutionize healthcare systems worldwide. Similarly, addressing pressing global challenges, such as climate change and environmental degradation, will heavily rely on scientific advancements and technological solutions. Sustainable energy sources, efficient resource management, and eco-friendly practices will be vital to creating a more sustainable future.
However, as science and technology continue to advance, it is crucial to approach their implementation with caution. Ethical considerations and responsible governance are necessary to navigate potential risks and unintended consequences. Issues such as data privacy, artificial intelligence ethics, and the digital divide need to be addressed to ensure equitable access and fair distribution of benefits. Balancing innovation with societal well-being, human rights, and environmental sustainability should be a central focus when shaping the future roles of science and technology.
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Define the slope of the slope-intercept line form y=mx+b in terms of A,B and C belonging to the standard form of the linear equation Ax+By=C.
The definition of slope-intercept form y=mx+b is given below.
What is a line explain?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
What are the types of lines?In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.
In the given question:-
The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.
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The perimeter of the outer square in thiæ pattern is 8
Ron says, “The perimeter of the inner square is 4"
Do you agree with Ron? Yes
Show workings to support your answer.
Answer:
The answer is Yes .. Ron is correct
Step-by-step explanation:
This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.
Each side of the inner square divides the outer square into two making each side 1 unit.
The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.
(Chapter 14) If f(x,y) has two local maximal, then f must have a local minimum.TrueFalse
It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.
For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.
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evaluate b-2a-c for a =-3, b=9 and c=-6
Answer:
21
Step-by-step explanation:
b - 2a - c
(9) -2(-3) - (-6)
9 + 6 + 6
21
Helping in the name of Jesus.
The answer is:
↬ 21Work/explanation:
To evaluate further, plug in -3 for a, 9 for b and -6 for c
\(\bf{b-2a-c}\)
\(\bf{9-2a-c}\)
\(\bf{9-2(-3)-(-6)}\)
Simplify
\(\bf{9-2(-3)+6}\)
\(\bf{9-(-6)+6}\)
\(\bf{9+6+6}\)
\(\bf{9+12}\)
\(\bf{21}\)
Hence, the answer is 21.the function f(x) = x^1/2 is transformed to get function W.w(x)= -(3x)^1/2 - 4 what are the domain and the range of function w? domain : x is grater then or equal to ___range : w(x) is less than or equal to ___(picture listed below)
Solution:
Given:
\(w(x)=-(3x)^{\frac{1}{2}}-4\)Rewriting the function, by applying the law of fractional exponents,
\(a^{\frac{1}{2}}=\sqrt{a}\)Hence,
\(\begin{gathered} w(x)=-(3x)^{\frac{1}{2}}-4 \\ w(x)=-\sqrt{3x}-4 \end{gathered}\)The domain of a function is the set of all input values that make the function defined.
The function is undefined when the value of x under the root sign is less than zero because the square root of a negative number is complex.
Hence, the domain exists when x has a value greater than or equal to 0.
Therefore, the domain is;
\(Domain:x\ge0\)The range of a function is the set of all output values that makes the function defined.
Hence, the range exists when y is lesser than or equal to minus 4 because a value of y greater than -4, makes the function and domain undefined.
Therefore, the range is;
\(Range:w(x)\leq-4\)How many years will it take for $4,000 to double at a simple interest rate of 5%? Show your work.
Answer: in explination
Step-by-step explanation:
annual interest = .05(4000) = 200
to double, you need another $4000
number of years = 4000/200 = 20
annual interest = .05(4000) = 200
to double, you need another $4000
number of years = 4000/200 = 20
it will take 20 years
to check if you are right you would...
Check:
simple interest on $4000 for 20 years at 5%
= .05(20)(4000) = 4000
the amount = what we had + new amount
= 4000 + 4000 = 8000 which is double what we started with
So the answer would be it took 20 years.
Determine the product of the binomial −2x−3 and the trinomial −4x2+3x+5.
which function in the random library will generate a random integer from 0 to the parameter value inclusive?
The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function
What is a function?Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.
What are parts of a function in coding?Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.
From the above definition, we get that
The function in the random library will generate a random integer from 0 to the parameter value inclusive is random.randint() function
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Janelle is considering two options for saving money. One option earns simple interest while the other option earns interest compounded monthly. If there are no additional deposits or withdraws, how much more will Janelle earn with the compound interest option? Assume Janelle deposits $3,000 at 3% interest for 7 years for both options
Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.
For the simple interest option, the interest is calculated using the formula:
I = P * r * t
Where:
I is the total interest earned
Using the given values, we can calculate the interest earned with simple interest:
I = 3000 * 0.03 * 7
I = 630
Now, let's calculate the total amount earned with the compound interest option.
Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:
r = 0.03/12
t = 7 * 12
Using these values, we can calculate the total amount with compound interest:
\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)
A ≈ 3,729.19
To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:
Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19
Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
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Lakelyn has $2,500.00 to invest in a savings account. Savings account 1 earns 4% simple interest and savings account 2 earns 4% interest compounded annually. If she plans to deposit the $2,500.00 and leave it in the account for 1 year, in which savings account would she earn more interest?
Answer:
Let’s go back to the savings account example above. We started with $10,000 and ended up with a little more than $500 in interest after 10 years in an account with a 0.50% annual yield.
Step-by-step explanation:
Let’s go back to the savings account example above. We started with $10,000 and ended up with a little more than $500 in interest after 10 years in an account with a 0.50% annual yield.
A=4
alpha=2/5
Beta=3/5
what is the equation for the indifference curve? Find the equation for the indifference curve using values provided for of A,□ and □ ( 2 decimals). Y=
The equation for the indifference curve using the values A=4, alpha=2/5, and beta=3/5 is \(Y=4*(X^(2/5))*(Z^(3/5)).\)
The equation for the indifference curve represents combinations of two goods, X and Z, that provide the same level of utility or satisfaction to an individual. In this case, the values provided are A=4, alpha=2/5, and beta=3/5.
The general form of the equation for the indifference curve is given by \(Y=A*(X^alpha)*(Z^beta)\), where Y represents the level of utility, X represents the quantity of good X consumed, and Z represents the quantity of good Z consumed.
By substituting the given values, the equation for the indifference curve becomes \(Y=4*(X^(2/5))*(Z^(3/5))\). This equation shows that the level of utility, Y, is determined by the quantities of goods X and Z, with X raised to the power of 2/5 and Z raised to the power of 3/5, and multiplied by the scaling factor A=4.
Therefore, the equation for the indifference curve is \(Y=4*(X^(2/5))*(Z^(3/5))\) based on the provided values of A, alpha, and beta.
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Nakeiha wa driving down a road and after 4 hour he had traveled 80 mile. At thi peed, how many mile could Nakeiha travel in 12 hour?
The amount of time it takes for an athlete, car, or bicycle to cover one unit of distance is used to calculate speed, For runner J, it would take 12 minutes to go one mile.
Calculate the mile?For runner J, it would take 12 minutes to go one mile.
Athlete J needs eight minutes to complete a half-mile.
Running one mile in an hour equals one minute for athlete H.
Athlete J's time needed to complete a mile of running.
12 minutes are needed to complete one mile.
Running one mile would take J 12 minutes.
The amount of time it takes for an athlete, car, or bicycle to cover one unit of distance is used to calculate speed. For runner J, it would take 12 minutes to go one mile.
The complete question is,
Athlete J completes a 1/3 mile run in 8 minutes. Athlete H completes 2 3/4 miles in a half-hour.
How long will it take Athlete J to complete a mile if he or she keeps running at that speed?
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If θ is an angle in standard position and its terminal side passes through the point (4,3), find the exact value of \sin\thetasinθ in simplest radical form.
Answer:
0.6
I hope this helps you
:)
Given that lines a and b are parallel, angles 2 and 6 are congruent because they are _____________ angles, and angles 5 and 8 are congruent because they are _____________ angles.
Answer:
parallel and parallel
can someone plz help me with this math equation!
Answer:
\(2x^3-7x^2-10x+4+\frac{1}{x+1}\)
Step-by-step explanation:
Hey this is long division polynomials, my work is a little confusing and I see that you do not need to show step so ill skip it.
If you don't understand I recommand search a video on it
<3
Red
look at image for question and answers
Answer:
ANSWER :
it's x + 3 + x
write the solution set in set notation with no spaces. |2+3m|-9=7
Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $27.15 left on the card, how many yards if ribbon did lena buy?
Step-by-step explanation:
To find out how much she spent:
30 - 27.15 = 2.85
Change it to cents:
2.85 x 100 = 285 cents
Calculate how many yards of ribbon she bought:
285 / 19 = 15
Therefore, she bought 15 yard of ribbon.
the admission fee at a local zoo is $ 1.50 for children and $ 5.00 for adults. on a certain day, 2000 people enter the zoo and $ 7 , 550.00 is collected. how many children and how many adults attended?
There are \(700\) children and \(1300\) adults.
What is system of linear equations?
A System of Linear Equations is when we have two or more linear equations working together.
Let \(x\) be number of children and \(y\) be number of adults.
Since \(2000\) people enter the zoo then \(x+y=2000.\)
The admission fee at a local zoo is $ \(1.50\) for children and $ \(5.00\) for adults and $\(7550.00\) collected then \(1.5x+5y=7550\).
Thus there are two linear equations to solve.
Substitute \(x=2000-y\) in \(1.5x+5y=7550.\)
\(1.5(2000-y)+5y=7550\)
\(3000-1.5y+5y=7550\)
\(3000+3.5y=7550\)
\(3.5y=7550-3000\)
\(3.5y=4550\)
\(y=\frac{4550}{3.5}\)
\(y=1300\)
So \(x=2000-y=2000-1300=700.\)
Therefore there are \(700\) children and \(1300\) adults.
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