Based on the scenario provided in the question, we can determine DLW Corporation's year 3 cost recovery for each factorization asset if DLW sells these assets on 4/25 of year 3 by using the MACRS method.
MACRS (Modified Accelerated Cost Recovery System) is the tax depreciation system used in the United States for the recovery of assets that is placed into service after 1986 and it stands for "Modified Accelerated Cost Recovery System". It is a depreciation method that assigns assets to a particular depreciation schedule based on the type of asset and its use.Each asset acquired and placed in service by DLW Corporation during the year will have a specific life based on the type of property.
The IRS assigns different useful lives to different types of assets and it is then used to determine the depreciation amount of the asset each year using MACRS.We have been provided with no information regarding the type or class of the assets acquired and placed into service during the year, so for this question, I will provide a generic solution which is not based on any asset life or classification. Please note that in the case of actual assets, you would need to consult IRS Publication 946 to determine the asset's depreciable life, class, and MACRS depreciation schedule.Let's use the formula for calculating the MACRS depreciation of the asset.
MACRS allows for the deduction of the cost of tangible property used in a business over a specified period of time. The formula is:Depreciation = Cost basis x Depreciation rateCoefficient for Year 3 = 1.0 x 0.192 (If we assume that the depreciation method used for these assets is a 5-year property, which is applicable to most machinery and equipment.)Coefficient for Year 3 = 0.192Depreciation = Cost basis x Depreciation rateDepreciation = Cost basis x Coefficient for Year 3The formula for determining Cost Basis is:Cost basis = Acquisition Cost – Salvage Value + Capital ImprovementsAs we have not been provided with either the Acquisition Cost or Salvage Value, I will assume that the Acquisition Cost is equal to the cost of each asset.
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write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3
Answer:
y-1=-3(x+2)
Step-by-step explanation:
When you have a division problem, what do you do to the exponents?
Answer:
you work out the exponents before you divide,
Step-by-step explanation:
8x2y + qxy2 + 41XY2 - 570X2Y
+
Answer:
16y+qy
2
+41Y
2
−1140Y
Step-by-step explanation:
Pasos de la solución
8×2y+q×y2+41×Y2−570×2Y
Multiplica 8 y 2 para obtener 16.
16y+qy
2
+41Y
2
−570×2Y
Multiplica 570 y 2 para obtener 1140.
16y+qy
2
+41Y
2
−1140Y
Ivan's garden is an irregular polygon. He wants to buy mulch to cover the whole garden. Find the area of each section of the garden. Then find the area of the whole garden
To find the area of each section of Ivan's irregular polygon garden, you would need to break it down into smaller regular polygons. For example, you could divide the garden into triangles, rectangles, or trapezoids. Once you have identified the regular polygons that make up the irregular polygon, you can use their formulas to find their individual areas. To find the area of the whole garden, you would add up the areas of all the regular polygons that make up the irregular polygon.
This can be a bit tricky since the irregular polygon may not have clearly defined sides or angles, but with some careful measurement and calculation, you can determine the total area of the garden. Once you have calculated the area of the garden, you can use that information to determine how much mulch Ivan will need to cover the entire area. This can help him plan his purchase and ensure that he has enough mulch to cover his entire garden.
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The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?
Answer:
180 boys
Step-by-step explanation:
If there is a ratio of 9 boys : 11 girls
9 + 11 = 20 total
And if there are 400 students total in the school
400/20 = 20.
9 * 20 = 180
11 * 20 = 220
So the ratio of 400 pupils would now be 180 boys: 220 girls
whatt is -1/6 x 5/6 ok help ok
Answer:
-5/36
Step-by-step explanation:
-1*5 = -5
6*6 = 36
-5/36
HELP ASAP ONLY IF YOU KNOW THE ANSWER
Decide if the following biconditional statement is true or false:
Two angles are congruent if and only if they are vertical angles
True or false?
Answer: TRUE
Step-by-step explanation:
i got it right.
who was the president of the confederate states during the civil war?
What is the average of 66 and 41?
Answer: 53.5
Step-by-step explanation:
To determine the average of any group of numbers
You must first add them all together
Then you must divide the sum by the amount of number in the group
In this case, we have 2 numbers
So let's add them
66 + 41 = 107
Now divide 107 by 2
107/2 =53.5
A small box holds 60 hats. A large box holds 180% as many hats in the small box. How many hats does the large box hold.
Answer:
108
Step-by-step explanation:
Answer:108
Step-by-step:180/100×6=180080180×6=
For a certain type of hay fever, Medicine H has a 30% probability of working. In which distributions does the variable X have a binomial distribution?
Select EACH correct answer.
A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
B. When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.
C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
D. When the medicine is tried with two patients, X is the number of doses each patient needs to take.
The variable X has a binomial distribution in the following distributions:
A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
What is binomial distribution?In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value.
In a binomial distribution, we have a fixed number of independent trials (in this case, the number of patients), and each trial has only two possible outcomes (success or failure). The probability of success remains the same for each trial (in this case, the probability of the medicine working is 30%).
Option B does not represent a binomial distribution since it counts the number of patients for whom the medicine does not work, which is the complement of success. Option D is not a binomial distribution as it counts the number of doses each patient needs to take, which is not a success/failure outcome.
So, the correct answers are:
A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.
C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.
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clients with a quickbooks online plus subscription can create 400 ungrouped tags and 1000 grouped tags distributed among up to 40 tag answer
Clients with a QuickBooks Online Plus subscription have the ability to create a total of 400 ungrouped tags and 1000 grouped tags, which can be distributed among up to 40 tag categories.
QuickBooks Online Plus offers users the flexibility to categorize transactions using tags. Tags are a way to organize and track transactions based on specific criteria or categories. There are two types of tags available: ungrouped tags and grouped tags.
With a QuickBooks Online Plus subscription, clients can create a maximum of 400 ungrouped tags. These tags can be assigned to individual transactions to provide additional information or categorization. Clients can create up to 40 tag categories and distribute the 1000 grouped tags among these categories.
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Distributive property 12(w+7)
Answer: show me the problem it doesn’t make sense
Step-by-step explanation:
Answer:
12 w + 84
Step-by-step explanation:
Multiply using the distributive property.
Help me with these questions (picture) Plsss I will reward brainliest and points
Answer:
1/4 2/3 and 1/12 sfgjikjhskskshrmsl
Answer:
1) Fill in the Blanks
The First Blank is 1/2 because 1/2 + 1/2 = 1
The Second Blank is 3/4 because 3/4 + 1/4 = 1
The Third Blank is 1/3 because 1/3 + 2/3 = 1
2) Find the LCD
The Least Common Denominator (also known as LCD) is 60
To find this, find the number that each of the denominators can multiply to and have the same one together.
3) Find the length of the final scarf
A full scarf has a length of 150cm
We must use the fragment that is 1/2 this size
150 ÷ 2 = 75
We must use the second fragment which is 3/4 150cm
Divide the scarf into 4 pieces
150 ÷ 4 = 37.5
We need 3 1/4 fragments to = 3/4
37.5 x 3 = 112.5
The final fragment is 1/3 the length of the full scarf
We must divide the scarf into 3 sections
150 ÷ 3 = 50
The three lengths we just found were 75cm, 112.5cm, and 50cm
Add all of the lengths up to find the final length of the last scarf
75 + 112.5 + 50 = 237.5cm
The Final scarf length is 237.5cm
Answers please help me
Answer:
Rita: r - 5= 2c, or r - 5= 2(36), or r - 5 = 72
Cora: (r - 5)/2 = 36
Step-by-step explanation:
Rita had r apps (let r = Rita original apps)She deleted 5 of them so r-5 She now has twice the number of apps as Cora so r-5 = 2c (let c = Cora's total apps) Cora's total apps are 36 so Rita's equation is r-5= 2(36) which means Rita equation for her number of apps is r-5= 72. As for Cora her equation is c= 36 but in relation to Rita's number of apps it's (r-5)/2 = 36Qn) Consider an IQ test for which the scores of adult Americans are known to have a normal distribution with expected value 100 and Variance 324, and a second IQ test for which the scores of adult Americans are known to have a normal distribution with expected value 50 and Variance 100. Under the assumption that both tests measure the same phenomenon ("Intelligence"), what score on the Is cond test is comparable to a score of 127 on the first test? I plain your answer
The score on the second test that is comparable to a score of 127 on the first test is 131.
Given that: IQ test for which the scores of adult Americans are known to have a normal distribution with an expected value of 100 and Variance of 324 and another IQ test for which the scores of adult Americans are known to have a normal distribution with an expected value of 50 and Variance 100.
Let x denote the first test score that is comparable to a second test score of 127. Then, we have; (127 − 100) / 18 = (x − 50) / 10 (the z-scores corresponding to the scores)
Simplifying the above equation gives;
(127 − 100) × 10 = (x − 50) × 18
Solve for x as follows;
(127 − 100) × 10 + 50 = (x) × 18
Hence, x = 131
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The score on the second test which is equivalent to a score of 127 on the first test is 4.332, or approximately 4.33 (rounded to two decimal places).
If X1, X2 are the IQ scores of the first and second tests respectively, we are given that X1 and X2 are both normally distributed. This means that their expected values and variances are known.
E(X1) = 100, Var(X1) = σ1² = 324E(X2) = 50, Var(X2) = σ2² = 100
We need to find the score, x on the second test which is equivalent to a score of 127 on the first test.
Therefore, we need to find
P(X1 ≤ 127) and then solve for x so that
P(X2 ≤ x) = P(X1 ≤ 127).
We know that
Z1 = (X1 - μ1) / σ1 and
Z2 = (X2 - μ2) / σ2 where μ1, μ2 are the respective expected values.
For a given probability P(Z ≤ z), we can find z using a standard normal table. Therefore, we can rewrite P(X1 ≤ 127) in terms of Z1 as follows;
P(X1 ≤ 127) = P((X1 - μ1) / σ1 ≤ (127 - μ1) / σ1) = P(Z1 ≤ (127 - μ1) / σ1) = P(Z1 ≤ (127 - 100) / 18) = P(Z1 ≤ 1.5)
The corresponding score on the second test, X2 can be found using;
Z2 = (X2 - μ2) / σ2 ⇒ X2 = σ2 Z2 + μ2
From the given values, μ2 = 50 and σ2 = 10.
Therefore,
X2 = σ2 Z2 + μ2 = 10 Z2 + 50
We need to find the value of x such that
P(Z2 ≤ x) = P(Z1 ≤ 1.5).
From a standard normal table,
we have P(Z ≤ 1.5) = 0.9332 and therefore,
P(Z2 ≤ x) = 0.9332 implies that
x = (0.9332 - 0.5) / 0.1 = 4.332.
Therefore, the score on the second test which is equivalent to a score of 127 on the first test is 4.332, or approximately 4.33 (rounded to two decimal places).
We are given
E(X1) = 100, Var(X1) = σ1² = 324E(X2) = 50, Var(X2) = σ2² = 100
We need to find x such that P(X1 ≤ 127) = P(X2 ≤ x).
Therefore, we find P(X1 ≤ 127) in terms of Z1 as follows;
P(X1 ≤ 127) = P(Z1 ≤ (127 - 100) / 18) = P(Z1 ≤ 1.5) = 0.9332
The corresponding value of X2, denoted by x can be found from
P(Z2 ≤ x) = P(Z1 ≤ 1.5).
From a standard normal table, we have
P(Z ≤ 1.5) = 0.9332 and therefore,
P(Z2 ≤ x) = 0.9332 implies that
x = (0.9332 - 0.5) / 0.1 = 4.332.
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Find the measurements of X
pt
Answer:
x = 15°
Step-by-step explanation:
the inscribed angle APB is half the measure of the central angle AOB , so
x = \(\frac{1}{2}\) × 30° = 15°
The line plot represents the heights, in inches, of tomato plants in a garden.
4 5 6 7 8 9 10 11 12
Height (in inches)
What is the median of the data shown on the line plot? Enter the answer in the box.
in
The Median of the data shown on the line plot is 6.5.
The median of a line plot The median is the central value in a data set that is arranged in numerical order from least to greatest. In other words, the median is the middle number of a set of data. To find the median of a set of data on a line plot, follow the steps below:
Step 1: Arrange the data in numerical order from least to greatest. In the line plot provided above, the data is already arranged in order from least to greatest. It ranges from 4 to 12.
Step 2: Determine the total number of data points. In this case, there are 8 data points.
Step 3: Identify the middle value in the data set. This is done by dividing the total number of data points by 2 (the middle point). If the number of data points is even, the median is the average of the two middle values. If the number of data points is odd, the median is the middle value itself. Since there are 8 data points in the line plot above, we have an even number of data points. The two middle values are 6 and 7, so the median is the average of these two values.
Step 4: Calculate the median. Add the two middle values (6 and 7) together and divide by 2:6 + 7 = 13 13/2 = 6.5
Therefore, the median of the data shown on the line plot is 6.5.
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The question says find the missing angles HELPP
Answer:
y: 71 degrees
z: 71 degrees
v: 71 degrees
x: 54.5 degrees
w: 54.5 degrees
Step-by-step explanation:
Ok, I might be wrong, please don't hate me!!!!
Since all triangles are 180 degrees, you can find all the measure while knowing only one angle measure.
To find y and z, you need to subtract 180 degrees by 38 degrees:
180 - 38 = 142
Since there are two angles, you need to divide the answer by 2.
142 / 2 = 71 degrees.
Since y and v are directly across from each other, they are the same measure (71 degrees).
With measures x and w, you do the same process of subtracting 180 by the value you know.
180 - 71 = 109
Then divide by 2.
109 / 2 = 54.5 degrees.
A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u = 68 with standard deviation o = 20. One year, the teacher taught a much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class affected scores in any way. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was * = 78. The hypothesis the teacher tested was He : 4 = 68 vs. H. : #68. The P-value for this hypothesis was found to be: 0.0233 O 0.0248 O 0.0124. O 0.0062
The P-value for the hypothesis that teaching a smaller class affects scores in the first midterm is 0.0233.
In hypothesis testing, the P-value represents the probability of observing a sample statistic as extreme as the one obtained, assuming the null hypothesis is true. In this case, the null hypothesis (H₀) states that there is no difference in the mean score for the smaller class compared to the mean score for the larger class, which is 68.
To determine if teaching a smaller class affected scores, the teacher compared the average midterm score of the smaller class to the mean score of 68 obtained from the larger class. The P-value of 0.0233 indicates that if there were truly no difference in the scores, there is a 2.33% chance of obtaining an average score of 78 or higher in a randomly selected sample of 25 students.
A P-value below the significance level (commonly set at 0.05) suggests that the observed difference is statistically significant, and we reject the null hypothesis in favor of the alternative hypothesis (H₁), which states that teaching a smaller class does affect scores.
Therefore, based on the obtained P-value of 0.0233, we can conclude that teaching a smaller class had a statistically significant impact on the scores of the first midterm.
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A survey of 230 young professionals found that one-eighth of them use their cell phones primarily for e-mail. Can you conclude statistically that the population proportion who use cell phones primarily for e-mail is less than 0.19? Use a 95% confidence interval. The 95% confidence interval is ___. As 0.19 is below the lower limit of the confidence interval, we cannot conclude that the population proportion is less than 0.19.
(Use ascending order. Round to four decimal places as needed)
The 95% confidence interval is approximately (0.089, 0.161).
To determine whether we can conclude statistically that the population proportion of young professionals who use cell phones primarily for e-mail is less than 0.19, we can perform a hypothesis test and construct a confidence interval.
Let's define the hypotheses:
Null hypothesis (H0): The population proportion is equal to or greater than 0.19.
Alternative hypothesis (Ha): The population proportion is less than 0.19.
We can use the sample proportion to test the hypothesis. Given that one-eighth of the 230 young professionals use their cell phones primarily for e-mail, we have:
Sample proportion (\(\hat{p}\)) = 1/8 = 0.125
To construct the 95% confidence interval, we can use the formula:
Confidence interval = \(\hat{p}\) ± z * √[(\(\hat{p}\) * (1 - \(\hat{p}\))) / n]
Where:
- \(\hat{p}\) is the sample proportion,
- z is the z-score corresponding to the desired confidence level (in this case, 95%),
- n is the sample size.
Since we are testing whether the population proportion is less than 0.19, we need to find the lower bound of the confidence interval.
Let's calculate the confidence interval:
Confidence interval = 0.125 ± z * √[(0.125 * (1 - 0.125)) / 230]
To find the z-score corresponding to a 95% confidence level, we can use a standard normal distribution table or a statistical calculator. The z-score for a 95% confidence level is approximately 1.645.
Substituting the values into the formula, we get:
Confidence interval = 0.125 ± 1.645 * √[(0.125 * 0.875) / 230]
Calculating the confidence interval:
Confidence interval = 0.125 ± 1.645 * √[0.0109 / 230]
Confidence interval ≈ 0.125 ± 0.036
The 95% confidence interval is approximately (0.089, 0.161).
As 0.19 is below the lower limit of the confidence interval, we cannot conclude that the population proportion is less than 0.19.
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Cora is building block towers of two different heights. In each tower, the ratio of blue blocks to purple blocks remains the same as shown in the diagram.The table shows the number of blue blocks and the number of purple blocks that Cora will use on each of her towers.Based on the ratio, complete the missing values in the table.
Answer:
54
Step-by-step explanation:
rgefgyhjkdguiofguioWEGRFIUG
Darnell took a total of 14 pages of notes during 7 hours of class. After attending 8 hours of
class, how many total pages of notes will Darnell have in his notebook? Assume the
relationship is directly proportional.
pages
Answer:
16 pages
Step-by-step explanation:
1 hour= 2 pages written of notes
so 8 hours of notes = 8x2=16 pages
m
m
=
5m+100°
2m+10°
Answer:
m= 20 for one becouse 5×20 is 100
m= 5 because 5×2 is 10
or do 5÷100 that is 20
and 2÷10 that is 5
Lef f{(-1,2), (0,3),(1,5),(-1,3)} and g={(-2,1),(0,3),(1,5),(-1,3),(3,0)} find 2f + 4g and 2g/h
The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)
In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.
We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.
Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:
Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.
Simplify the resulting set by removing any duplicate ordered pairs.
Let's work through this process step by step for our given functions:
Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}
Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}
Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}
Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}
So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.
For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:
2g(1) = 2 * 5 = 10
h(5) = 4
2g(1)/h(5) = 10/4 = 2.5
Therefore, the ordered pair (1,2.5) is in the result set.
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Rose, bill, jean, and candice each received different seat numbers to watch the performance. The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. Bill received the seat number that is the greatest multiple of 8 from the group of seats. Rose received the only seat number that is a prime number. Which seat number did jean receive?.
It should be noticed that the seat assigned to Jean as per the given data is 108 .
Jean seat = 108.
The seat numbers were either 53, 64, 108, or 216 based on the information.
The single seat with a factor of 16 went to Candice. The seat is 64 .
In the group of seats, Bill was given the seat with the highest multiple of 8. It's number 216.
Rose was given the sole prime number-containing seat number. It is 53.
Therefore, 108 is the sum that is left.
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
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California college students who drink according to the centers for disease control and prevention, 60% of all american adults ages 18 to 24 currently drink alcohol. is the proportion of california college students who currently drink alcohol different from the proportion nationwide? A survey of 450 california college students indicates that 66% currently drink alcohol. the null hypothesis is ___________. The alternative hypothesis is _____________.
Based on the information given, you are asked to identify the null hypothesis and the alternative hypothesis for the proportion of California college students who currently drink alcohol.
Let's denote the proportion of California college students who drink alcohol as p_california and the proportion of nationwide college students who drink alcohol as p_nationwide.
Null hypothesis (H0): There is no significant difference between the proportion of California college students who currently drink alcohol and the proportion nationwide. Mathematically, this is represented as:
H0: p_california = p_nationwide (0.60)
Alternative hypothesis (H1): There is a significant difference between the proportion of California college students who currently drink alcohol and the proportion nationwide. Mathematically, this is represented as:
H1: p_california ≠ p_nationwide (0.60)
In this case, the survey found that 66% of 450 California college students currently drink alcohol. To test the hypotheses, you would perform a hypothesis test for proportions, and based on the test results, decide whether to reject or fail to reject the null hypothesis.
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A researcher randomly selects 2 fish from among 10 fish in a tank and puts each of the 2 selected fish into different containers. How many ways can this be done? 180 b 90 c) 45 270 e 40 None of the above
There are 45 ways for the researcher to randomly select 2 fish from a tank of 10 fish and put each of the selected fish into different containers.
To determine the number of ways the researcher can select 2 fish from a tank of 10 fish and put each of the selected fish into different containers, we can use the concept of combinations.
Step 1: Identify the number of fish in the tank: There are 10 fish in the tank.
Step 2: Determine the number of ways to select 2 fish: We can use the combination formula, which is given by nCr = n! / (r! * (n-r)!), where n is the total number of fish and r is the number of fish to be selected.
In this case, we want to select 2 fish from a total of 10 fish, so the formula becomes:
10C2 = 10! / (2! * (10-2)!)
Simplifying the equation:
10C2 = 10! / (2! * 8!)
10C2 = (10 * 9) / (2 * 1)
10C2 = 45
Step 3: Interpret the result: The result of 45 represents the number of ways the researcher can select 2 fish from the tank and put each of the selected fish into different containers.
Therefore, the correct answer is option c) 45.
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Suppose you are holding stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the expected return? Please enter the answer as a percent with two decimal places for instance 55.55 for 55.55% Suppose you are holding a stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the standard deviation of return? Please enter a number (not a percentage). Please convert all percentages to numbers before calculating, then type in the number. Now type in 4 decimal places. The answer will be small. Suppose you are holding a stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the variance of return? Please enter a number (not a percentage). Please convert all percentages to numbers before calculating, then type in the number. Now type in 4 decimal places. The answer will be small.
The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.
To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:
Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)
Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)
Expected return = 0.036 + 0.0495 - 0.0125
Expected return = 0.073
The expected return is 7.30%.
To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:
Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)
Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2
Variance = 0.00232 + 0.000173 + 0.001903
Variance = 0.004423
The standard deviation is the square root of the variance:
Standard deviation = √(0.004423)
Standard deviation = 0.0665
Therefore, the value obtained is 0.0665.
To know more about standard deviation refer here:
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Please solve: 8n+2≤8n−9! Show your work please!