\(\dfrac r3 = 7 \\\\\implies r = 3 \times 7 = 21\)
Answer:
r = 21
Step-by-step explanation:
(r / 3) = 7
(r / 3)(3) = 7(3)
r = 21
A fraction multiplied by the denominator will equal the numerator.
which expression is equivalent to 121-x to the second power
Answer:
(11-x)x(11+x) I think this is what your looking for!
Step-by-step explanation:
Due to a product upgrade, two new operations are need for the new version of the part mentioned in Practice Problem 1. Operation 3 is a high-precision drilling operation. Machine 3 has a mean time to fail of 10 hours and a mean time to repair of 45 minutes. Machine 4 paints the part pink1. Its mean time to fail is 100 hours and its mean time to repair is 6 hours. The operation times of Machines 3 and 4 are 2 minutes.
When the line is rebuilt there may be buffers between the machines. As the manufacturing systems engineer, your job is to decide whether buffers are needed. (It will also be to decide what size the buffers should be, but that issue is treated in the second part of this course.)
The product upgrade has led to the creation of two new operations, one of which is a high-precision drilling operation, that necessitates the use of Machines 3 and 4.
For the new version of the component described in Practice Problem 1, the aim is to create a manufacturing system that can handle high production levels with a limited chance of downtime. Machine 3's mean time to failure is 10 hours, and its mean time to repair is 45 minutes. This means that the machine's failure rate is roughly 1/6000, while its repair rate is approximately 1/45. Machine 4, on the other hand, has a mean time to failure of 100 hours and a mean time to repair of 6 hours. This means that its failure rate is approximately 1/10000, while its repair rate is approximately 1/6.The rate of production of the machines is 2 minutes. As a result, the manufacturing system engineer must decide whether to have buffers between the machines. The production rate is 0.5 pieces per minute if the buffer is set to zero.
The decision to add buffers to an assembly line is critical in ensuring that production runs smoothly and without interruption. The buffer sizes are determined by a number of factors, including the equipment's mean time to failure and repair, as well as the rate of production.
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What is the slope of this line?
Answer:
A
Step-by-step explanation:
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3. Assume that a small open economy can be described as follows: Y=C+I+G + NX Y = F(L,K) = Y = 5000 C = 1000+ 0.5(Y - T) I = 2000 20r G = G = 1600 T = T = 1000 r = r* = 6% Please note that economists are treating interest rates as whole numbers, not decimals, e.g., if the interest rate is 3%, then r = 3. a. What is the trade balance? Is the country experiencing a trade surplus, a trade deficit, or balanced trade? Explain. b. Is the country borrowing or lending money on the world financial markets? If so, how much? Explain.
The country is borrowing 1600 units of money on the world financial markets.
a. To determine the trade balance, we need to calculate the net exports (NX) using the given information. The formula for net exports is:
NX = Y - (C + I + G)
Given:
Y = 5000
C = 1000 + 0.5(Y - T) = 1000 + 0.5(5000 - 1000) = 1000 + 0.5(4000) = 1000 + 2000 = 3000
I = 2000
G = 1600
T = 1000
Plugging these values into the net exports equation:
NX = 5000 - (3000 + 2000 + 1600) = 5000 - 6600 = -1600
The trade balance is -1600. A negative trade balance indicates a trade deficit, which means that the country is importing more goods and services than it is exporting. In this case, the country is experiencing a trade deficit.
b. To determine whether the country is borrowing or lending money on the world financial markets, we need to examine the relationship between domestic investment (I) and national saving (S). If domestic investment exceeds national saving, the country is borrowing money. If national saving exceeds domestic investment, the country is lending money.
The formula for national saving (S) is:
S = Y - C - G
Plugging in the given values:
S = 5000 - 3000 - 1600 = 400
The national saving is 400.
Since investment (I) is 2000, which is greater than national saving (400), the country is borrowing money on the world financial markets. The amount being borrowed is the difference between investment and national saving:
Borrowing = I - S = 2000 - 400 = 1600
Therefore, the country is borrowing 1600 units of money on the world financial markets.
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if you know the answer please help me ese
Answer:
Domain { 4,8,12,16,20}
Range { 1,2,3,4}
This is not a function because two of the inputs have more than one output
Step-by-step explanation:
The domain is the x values ( input)
Domain { 4,8,12,16,20}
The range is the y values (output)
Range { 1,2,3,4}
This is not a function because two of the inputs have more than one output
A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.
show work plz thanks!
Theoretical Probability Compound Events
Answer:
5/33
Step-by-step explanation:
five apples and seven peaches = 12 total
P( apple) = number of apples / total
= 5/12
No replacement since you ate it
four apples and seven peaches = 11 total
P( peach) = number of peach / total
= 4/11
P(apple, no replacement, peach) = 5/12 * 4/11 = 5/33
A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross
section in the shape of a triangle.
Which of the following solids could have resulted in
that cross section?
The Right triangular prism will result in a triangular cross-section.
What is a solid?In Geometry, the shape or the figure that has three (even higher) dimensions, are known as solids or three-dimensional shapes.
When a solid is cut by a plane that is parallel to its base, forming a two-dimensional cross-section, in order to have a triangular cross-section the base or bases of that solid must be a triangle.
So, 1) Rectangular pyramid will result in a rectangular cross-section.
2)Right hexagonal prism will result in a hexagonal cross-section.
3)Cube will result in a squared cross-section.
4)Right triangular prism will result in a triangular cross-section.
Therefore, The Right triangular prism will result in a triangular
cross-section.
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The solid that could have resulted in a two-dimensional cross section in the shape of a triangle when cut by a plane parallel to its base is the "rectangular pyramid."
When a rectangular pyramid is cut parallel to its base, the resulting cross section is a triangle. This is because one of the sides of the pyramid's base forms the base of the triangle, and the other edges of the pyramid converge to form the other sides of the triangle in the cross section.
The other listed solids—right triangular prism, right hexagonal prism, and cube—would not form a triangle as their cross sections when cut parallel to their base; they would typically result in polygons with more sides or shapes different from a triangle.
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10 points Please help!!!!
Question 15:
Option B is the correct answer
If the Patriots win their division, then they will go to the playoffs:
- Invalid conclusion was made.
Question 16:
Option D is the correct answer.
Conclusion: Ethan's boy scout dues are free:
- Drawn using the law of detachment.
What is the law of detachment?
The Law of Detachment states that we must detach ourselves from the outcome in order to allow what we desire to materialize in the physical universe.
Example:
If p equals q and p is also true. Then q is true.
We have,
- If the Patriots win their next game, then they will win their division.
- If the Patriots win their next game, then they will go to the playoffs.
Each statement's conclusion is drawn using the law of detachment.
Therefore, if the patriots win their division, then they will go to the playoffs is an invalid conclusion made.
Ethan sold $1000 worth of popcorn.
Conclusion: Ethan's boy scout dues are free.
This conclusion was drawn using the law of detachment.
Thus,
Therefore, if the patriots win their division, then they will go to the playoffs: - Invalid conclusion made.
Conclusion: Ethan's boy scout dues are free:
- Drawn using the law of detachment.
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PLEASE HELP ASAP!!!
Use the image to determine the line of reflection.
Reflection across the x-axis
Reflection across the y-axis
Reflection across y = -1
Reflection across x = -3
Answer:
Reflection across y = -1
what is the following product? Assume x>0 3root x^2 times 4 root x ^3
the product of the given expressions will be x(\(x^{5/12}\))
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
\(x^{2/3}\) * \(x^{3/4}\)
= \(x^{2/3+3/4}\)
=\(x^{17/12}\)
=x(\(x^{5/12}\))
Hence the product of the given expressions will be x(\(x^{5/12}\))
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the scaling assumptions underlying a question determine which measure is appropriate. a. descriptive b. inference c. difference d. association
The scaling assumptions underlying a question determine which descriptive measure is appropriate.
The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.
A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.
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HELP ASAP! Linear function k has a zero at 3 and a y-intercept of 9. Which graph best represents k?
a quadratic equation can be written in vertex form or in standard form sometimes one form is more beneficial than the other Identify which form would be more helpful if you needed to do each task listed below and explain why. A .factor the equation. B graph the parabola.C identify the vertex minimum or maximum of the parabola D and solve the equation using the quadratic formula
a. In order to factor the equation, the vertex form needs to be expanded to the standard form first, to obtain the factors of the equation
b. The parabola is easily graphed with the information on the vertex given in the vertex form of the quadratic equation
c. The vertex, minimum or maximum of the parabola are easily obtained in the vertex form of the quadratic equation
d. The quadratic formula is defined based on the standard form of the quadratic equation
Answer:
\(\huge{\boxed{\text{A) Standard form}}}\\\huge{\boxed{\text{B) Vertex Form}}}\\\huge{\boxed{\text{C) Vertex Form}}}\\\huge{\boxed{\text{D) Standard Form}}}\\\)
Step-by-step explanation:
Vertex form is represented as: \(f(x) = a(x-h)^2+k\), where the vertex of the parabola is (h, k).
Standard form is represented as \(f(x) = ax^2+bx+c\), where a, b, and c are constants.
A) When factoring an equation, the sum of the roots is equal to b and the sum of the roots is equal to c, meaning standard form is the beneficial.
B) When graphing a parabola, vertex form is extremely beneficial, as it provides the vertex of the parabola, and the direction in which it opens. If "a" is positive, the vertex opens upward, while when "a" is negative, the vertex opens downward. As such, graphing is greatly eased with this information.
C) As is evident from the name, vertex form is the best for identifying the vertex of a parabola, as it is explicitly shown via the constants h and k.
D) The quadratic formula directly uses the constants a, b, and c, so working in standard form is more beneficial, as it removes the effort of solving for each constant.
Hope it helps :) and let me know if you want me to elaborate.
Triangles J K L and M N R are shown. In the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS?
A. KL ≅ NR
B. ∠L ≅ ∠R
C.∠K ≅ ∠N
D.JK ≅ MN
Answer:
a on edge 2021
Step-by-step explanation:
i took the test and got 100, hope this helps:)
Answer:
I think it is D
Step-by-step explanation:
Edge
a collection of nickels, dimes, and quarters consist of 70 coins with a total of $ 8.00 . if there are 2 times as many dimes as quarters, find the number of each type of coins.
The number of each type of coins are as follows:
q = 15 quarters.
d = 30 dimes.
n = 25 nickels.
How to determine the number of each type of coins?In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.
Let q represent number of quarters.
Let n represent number of nickels.
Let T represent total number of coins.
Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.
Translating the word problem into an algebraic equation, we have;
Dimes; d = 2q .....equation 1.
Nickels; (70 - (q + 2q)) = (70 - 3q) .....equation 2.
Total coins; T = n + d + q
0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00
Multiplying all through by 100, we have:
5(70 - 3q) + 2q(10) + q(25) = 800
350 - 15q + 20q + 25q = 800
350 + 30q = 800
30q = 800 - 350
30q = 450
q = 450/30
q = 15 quarters.
For the number of dimes, we have:
Dimes, d = 2q
Dimes, d = 2(15)
Dimes, d = 30 dimes.
For the number of nickels, we have:
Nickels, n = (70 - 3q)
Nickels, n = (70 - 3(15))
Nickels, n = (70 - 45)
Nickels, n = 25 nickels.
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Which of the numbers given below is an irrational number ?
0
2.14
2.14367.....................
Answer:
2.14367............. is a irrational number.Find the least common multiple for each pair
The LCM for each pair is: LCM (2, 8) = 8 LCM (3, 4) = 12 LCM (6, 8) = 24. To find the least common multiple (LCM) for each pair, we first need to understand what LCM means.
The LCM is the smallest multiple that two or more numbers have in common. For example, the LCM of 2 and 8 is 8 because 8 is the smallest multiple that both 2 and 8 have in common.
So let's start with the first pair, 2 and 8. We can list out the multiples of each number and find the smallest one they have in common:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
Multiples of 8: 8, 16, 24, 32, 40, ...
The smallest multiple they have in common is 8, so the LCM of 2 and 8 is 8.
Next, let's look at the pair 3 and 4:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, ...
The smallest multiple they have in common is 12, so the LCM of 3 and 4 is 12.
Finally, let's tackle the pair 6 and 8:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, ...
The smallest multiple they have in common is 24, so the LCM of 6 and 8 is 24.
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Solve
(6x + 5) - (x + 3)
Answer:
5x+2
Step-by-step explanation:
6x-x=5x and 5-3=2
so 5x+2 is the answer.
helllllllllllllllllpppppp meeeeeeeeeeee please i really need this Sabastian wanted to compare how much time his neighbors spend on the Internet to how much mail they receive in a week. He gathered data by surveying his neighbors. [ NOTE: He gathered data, so He Has it Already, do not go back in time...] Explain the steps Sabastian should take in order to analyze the data.
Answer:
Step-by-step explanation:
Step 1: Create a Survey
Step 2: Administer the Survey
Step 3: Collect responses.
Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.
Step 5: Analysis
Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?
The step to analyze the collected data include plotting the data on an histogram
How to determine the steps?From the question, we understand that the data has already been gathered.
The next step is to analyze the collected data.
This can be done in several ways.
One of them is as follows:
Sort the data in ascending orderDetermine the mean, median, mode and rangeDetermine the standard deviation and variancePlot the data on a chart (e.g. histogram)Read more about data analysis at:
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A player chooses one card from deck a and one card from deck b. what is the probability that the player will choose a c2 card from the first deck or a c6 card from the second deck?
the probability of choosing a c3 card from deck a or choosing a c5 card from deck b is?
To calculate the probability of choosing a c2 card from the first deck (Deck A) or a c6 card from the second deck (Deck B):
First, calculate the probability of choosing a c2 card from Deck A:
P(c2) = Number of c2 cards in Deck A / Total number of cards in Deck A
= 4/20
= 1/5
Next, calculate the probability of choosing a c6 card from Deck B:
P(c6) = Number of c6 cards in Deck B / Total number of cards in Deck B
= 2/10
= 1/5
Since the events of choosing a c2 card and a c6 card are mutually exclusive, the probability of both events occurring together (P(c2 and c6)) is zero.
Therefore, the probability of choosing a c2 card from Deck A or a c6 card from Deck B can be found by adding these probabilities:
P(c2 or c6) = P(c2) + P(c6) - P(c2 and c6)
= 1/5 + 1/5 - 0
= 2/5
So, the probability of choosing a c2 card from Deck A or a c6 card from Deck B is 2/5.
Now, let's calculate the probability of choosing a c3 card from Deck A or a c5 card from Deck B:
P(c3) = Number of c3 cards in Deck A / Total number of cards in Deck A
= 5/20
= 1/4
P(c5) = Number of c5 cards in Deck B / Total number of cards in Deck B
= 1/10
Therefore, the probability of choosing a c3 card from Deck A or a c5 card from Deck B is:
P(c3 or c5) = P(c3) + P(c5)
= 1/4 + 1/10
= 3/10
So, the probability of choosing a c3 card from Deck A or a c5 card from Deck B is 3/10.
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would the following method produce a random sample of a school population of 1000 students? answer yes or no. all students with last names beginning with the letter m.
Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.
A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.
By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.
To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.
This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.
Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.
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1. the average human body temperature is 98.24 with a standard deviation of 0.72. if we were to take a random sample of 64 people and measure their body temperature. a.) what would we expect the average body temperature of that sample of people to equal? b.) by how much might we expect the mean of that sample of 64 people to vary from the mean of the population, on average?
a) The expected average body temperature of the sample of 64 people is 98.24 degrees Fahrenheit.
b) Expected mean of that sample of 64 people to vary from the mean of the population by an average of 0.09 degrees Fahrenheit.
a) The expected average body temperature of the sample of 64 people can be calculated as the same as the population mean, which is 98.24.
b) The standard error of the mean (SE) is given by the population standard deviation divided by the square root of the sample size, which is
SE = 0.72 / sqrt(64) = 0.09
The standard error of the mean represents the variability of sample means around the population mean. The standard deviation of the sample means is approximately equal to the standard error of the mean.
Therefore, we can expect the mean of that sample of 64 people to vary from the mean of the population by an average of 0.09 degrees Fahrenheit.
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scores on a certain test are normally distributed with a variance of 14. a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
The researcher needs a sample size of at least 10 to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
To find the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units, we can use the formula:
n = (Z * σ / E)²
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, 90% confidence corresponds to a Z-score of approximately 1.645)
σ = standard deviation of the population (given as the square root of the variance, so σ = √14)
E = maximum allowable error or margin of error (given as 2 units)
Plugging in the values:
n = (1.645 * √14 / 2)²
Simplifying:
n = (1.645 * 3.74 / 2)²
n = (6.1393 / 2)²
n = 3.06965²
n ≈ 9.42
Therefore, the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units is approximately 9.42.
The researcher should gather a sample of at least 10 adults to estimate the mean score achieved by all adults on the test with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
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What is the growth factor when something is decreasing by:
15.7%
0.12%
When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.
In math, what is the definition of multiplying?
Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.
If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.
As a result, when something decreases by 15.7%, the growth factor is about 1.182.
When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.
As a result, when something decreases by 0.12%, the growth factor is about 1.00012.
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a poll states that a candidate will receive 43 percent of the vote. there is an 8 percent margin of error. what should you think of the poll?
The 43 percent result from the poll should be considered as a rough estimate of the candidate's expected performance, and not a precise prediction of the election outcome.
What are prediction and example?a forecast of what you believe will happen in the future: Please do not ask me to forecast the meeting's outcome for tomorrow. [ + that ] Nobody listened to her prediction that the world would end on November 12. additional examples The estimate of 4 million unemployed people appears terrifyingly plausible.
What exactly does the term "prediction" imply?
A prediction is what someone believes will happen. A forecast is a forecast, but it is not always about the weather. Pre is a diction term that means "before" and refers to talking. As a result, a forecast is a prediction about the future.
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Box 4: Contextual Questions
1. What does the point (5, 75)
represent within the given context?
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Answer:
hi
Step-by-step explanation:
HELP ME WITH THIS DUE IN A HOUR!! WILL GIVE BRAINLIST
Answer:
It is 9/10 x 3/2= 1 7/20
Step-by-step explanation:
Jada's sister earns a commission. She makes 3.5% of the amount she sells. Last week she sold $7,000 worth of furniture. How much was her commission
Answer:
65
Step-by-step explanation:
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What is 38 Inches in Feet?
38 inches is equivalent to 3.166666667 feet.
To convert inches to feet, you can use the conversion factor of 1 inch = 0.08333333 feet. This means that for every inch, there are 0.08333333 feet. To convert 38 inches to feet, you would divide 38 by 12 (the number of inches in a foot) using this conversion factor.
Alternatively, you can use a conversion calculator or a conversion table. These can be found online or on your smartphone, and they are especially useful when you need to convert large numbers or when you need to convert measurements on a regular basis.
It's important to note that the conversion factor of 1 inch = 0.08333333 feet only gives you the approximate value of height in feet, as rounding errors may occur. However, it is an easy way to quickly convert inches to feet in your head.
It's important to be aware of the units of measurement when working with measurements, especially when traveling internationally or when working with recipes or other information that use different units. Knowing how to convert inches to feet can be helpful in many situations, such as when reading product specifications or when communicating with people who use the imperial system.
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Discuss the concept and theory of Value at Risk (VaR) and its
shortcomings. Explain which other risk measure overcomes the
limitations and how?
[25 marks]
Value at Risk (VaR) is a popular measure of financial risk that quantifies the maximum potential loss a portfolio could incur over a specified time period with a given level of confidence. VaR is based on statistical modeling that considers historical returns and market volatility to estimate the worst-case scenario loss that could occur under normal market conditions.
However, VaR has several shortcomings. Firstly, VaR assumes that asset returns are normally distributed, which is not always the case. Secondly, VaR does not account for extreme events or tail risks that could result in catastrophic losses. Thirdly, VaR is a static measure and does not adjust to changes in market conditions.
To overcome these limitations, other risk measures have been developed, such as Expected Shortfall (ES) or Conditional Value at Risk (CVaR). These measures take into account the potential losses beyond the VaR threshold and the distribution of returns in the tail region. ES measures the expected loss in the tail region, while CVaR calculates the average loss in the worst-case scenarios.
In conclusion, while VaR is a popular risk measure, it has limitations that can lead to inaccurate risk assessments. Other risk measures, such as ES and CVaR, provide a more comprehensive and realistic assessment of financial risk, particularly in extreme market conditions.
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