Answer:.
1.43%
2100/300=7
So they bought each shirt for 7 dollars.
Now they are selling them at 10 dollars.
OK so, now we will divide 10 by 7 which is: 1.42857143
and once you simplify its 1.43%
For many hotels, including the Grand Hotel Toplice, the price of a room will fluctuate depending on _____.a. the time of dayb. the time of yearc. the gender of the persond. the nationality of the person
For many hotels, including the Grand Hotel Toplice, the price of a room will fluctuate depending on the time of year. Option B
How to complete the statement
The rates of hotel rooms tend to fluctuate depending on the demand during different seasons and times of high travel activity.
Hotels have a tendency to increase their room rates during peak tourist seasons or notable holiday periods, namely summer vacations or significant local events.
During times when there is less demand or fewer guests, prices may be decreased in order to entice visitors. The demand for hotel rooms and subsequent price changes can be impacted by factors such as climate, nearby activities, and cultural festivities specific to certain periods.
Generally, the room rates at hotels are not directly influenced by additional elements like the individual's gender, nationality, or the time of day.
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Consider the production function f(L,K)=L
3
K
3
where K is fixed at 8 . a. If the short run total cost function is C(q)=16q
3
+40, find the wage rate, w, and the rental rate, r. b. State VC(q),F,MC(q) and AC(q). c. How will MC(q) and AC(q) change if a per-unit tax of $5 is imposed in this market?
The summary of the answer: a. The wage rate, w, can be calculated by differentiating the short run total cost function with respect to labor, L, and setting it equal to the marginal product of labor, MPL.
By substituting the given production function, the wage rate is found to be w = 48. The rental rate, r, is equal to the total cost minus the wage cost divided by the fixed input, K. By substituting the given values, the rental rate is determined to be r = 4.
b. In this case, the variable cost function, VC(q), is obtained by subtracting the fixed cost, FC, from the short run total cost, C(q). The fixed cost is given as 40, so VC(q) = 16q^3. The firm's fixed factor, K, is held constant at 8. The marginal cost, MC(q), is found by differentiating the variable cost function with respect to quantity, q. In this case, MC(q) = 48q^2. The average cost, AC(q), is calculated by dividing the total cost, C(q), by the quantity, q. Therefore, AC(q) = (16q^3 + 40)/q.
c. When a per-unit tax of $5 is imposed, both the marginal cost, MC(q), and the average cost, AC(q), will increase by the amount of the tax. The new marginal cost, MC'(q), will be equal to MC(q) + 5, and the new average cost, AC'(q), will be equal to AC(q) + 5/q.
This increase in costs is due to the additional tax burden imposed on each unit of output. It affects both the marginal and average costs because it adds a constant amount to each unit produced. As a result, the firm's production costs will rise, leading to higher marginal and average costs for each level of output.
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Let's assume that there are many points in 3-D space. Each point has its coordinate as (x, y, z). All x, y, z are floating point value. Anyway, can you sort these 3-D point by an sorting order string "xyz"? That's means x coordinate is primary, y is secondary, z is last priority? The order string can be of any combination of "xyz", "xzy", "yxz", "yzx", "zxy", "zyx" Hint: using lambda expression and Python sorted function Sample Inputs: [(2, 1, 2), (2, 1, 3), (1, 2, 3), (1, 2, 2), (3, 1, 2), (3, 3, 1), (2,3,1), (1, 3, 3), (2, 4, 1)]
The given task is to sort a list of 3-D points based on a given sorting order string using Python's lambda function and sorted function. The sorting order is specified as a string of any combination of 'x', 'y', and 'z', where 'x' represents the primary sorting key, 'y' represents the secondary sorting key, and 'z' represents the last priority.
In Python, we can use a lambda function to define a custom key for sorting using the `sorted()` function. We can create a tuple of the `x`, `y`, and `z` coordinates of each point and pass it as the key to the `sorted()` function. We can use the `index()` method to get the index of the corresponding letter in the sorting order string.Here's an example of the two-line solution to sort the given list of points based on the sorting order string:
```python
sorted_points = sorted(points, key=lambda p: (p[order.index('x')], p[order.index('y')], p[order.index('z')]))
print(sorted_points)
```This will print the sorted list of 3-D points based on the given sorting order string.
In summary, we can use Python's lambda function and sorted function to sort a list of 3-D points based on a given sorting order string. The lambda function creates a tuple of the `x`, `y`, and `z` coordinates for each point based on the sorting order string, and the sorted function sorts the list based on this tuple. The `index()` method is used to get the index of the corresponding letter in the sorting order string.
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Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle.
A pentagon has five angles, and the sum of the angles of a pentagon is equal to 540°. Therefore, the measure of the fifth angle can be found by subtracting the sum of the given angles from 540°:
540° - (85° + 110° + 135° + 95°) = 540° - 425° = 115°.
Therefore, the measure of the missing angle is 115°.
Sum of the angles of a n-sided polygon:
\(\text{S}_{\text{n}}=180^\circ\times(\text{n}-2)\)
In this question, we have a pentagon, so
\(\text{n}=5,\)
then
\(\text{S}_5=180^\circ\times(5-2)\)
\(\text{S}_5=180^\circ\times3\)
\(\text{S}_5=540^\circ \longleftarrow \ \text{sum of the measures of the internal\\}\)
\(\text{angles of a pentagon.}\)
Let \(\text{x}\) be the measure of the missing angle. So,
\(85^\circ+110^\circ+135^\circ+95^\circ+\text{x}=\text{S}_5\)
\(425^\circ+\text{x}=540^\circ\)
\(\text{x}=540^\circ-425^\circ\)
\(\text{x}=115^\circ\longleftarrow \ \ \ \text{measure of the missing angle.}\)
Tags: sum internal angle missing pentagon polygon plane geometry
use the given formula to find the slant height l of a right circular cone whose height is 12 inches and radius is 3.5 inches. round your answer to the nearest tenth.
The slant height of the right circular cone with height 12 inches and radius 3.5 inches is 12.5 inches (rounded to the nearest tenth).
The slant height l of a right circular cone, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (slant height in this case) is equal to the sum of the squares of the other two sides (height and radius). The formula to find the slant height l is:
l = √(h² + r²)
where h is the height of the cone and r is the radius of the cone.
Plugging in the given values, we get:
l = √(12² + 3.5²)
l = √(144 + 12.25)
l = √156.25
l = 12.5 inches (rounded to the nearest tenth)
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A bakery delivers a total of 2176 cookies equally to 8 coffee shops daily. How many cookies does the bakery deliver to each coffee shop in one week
Answer:
1904 cookies
Step-by-step explanation:
2176/8=272
272 is how many cookies a shop gets a day
272x7=1904
Hope this helps
the volume of a cylinder is 980 pi cubic inches. the height of the cylinder is 20 inches. what is the radius of the cylinder?
The radius of the cylinder is 7 inches.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
\(\[ V = \pi r^2 h \]\)
where V is the volume, r is the radius, and h is the height.
In this case, we are given that the volume of the cylinder is 980π cubic inches and the height is 20 inches. Plugging in these values into the formula, we get:
\(\[ 980\pi = \pi r^2 \cdot 20 \]\)
Simplifying the equation, we can divide both sides by π:
\(\[ 980 = 20r^2 \]\)
Dividing both sides by 20 gives us:
\(\[ 49 = r^2 \]\)
To solve for r, we take the square root of both sides:
\(\[ r = \sqrt{49} = 7 \]\)
Therefore, the radius of the cylinder is 7 inches.
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Enter the missing values in the area model for multiplication below.
5 x 35
30
+
5
25
try
Prove the Identity:
\( \large{ \frac{cos( - \theta)}{1 - sin \theta} - \frac{cos( \theta + \pi)}{1 + sin \theta} = \frac{2}{cos \theta} }\)
Show your work, thanks!
Answer:
Use properties:
cos(-θ) = cosθcos(θ + π) = - cosθsin²θ + cos²θ = 1Solution:
cosθ/(1 - sinθ) - (-cosθ)/(1 + sinθ) = cosθ([1/(a- sinθ) + 1/(1 + sinθ)] = cosθ[(1 + sinθ + 1 - sinθ)/(1 - sin²θ)] = cosθ(2/cos²θ) = 2/cosθProved
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
\(\sf{\dfrac{cos( - \theta)}{1 - sin \theta} - \dfrac{cos( \theta + \pi)}{1 + sin \theta} }\)\(\\\)
[\(\tt{cos(-\theta)=cos\theta }\) ]
\(\sf{\dfrac{cos \theta}{1 - sin \theta} - \dfrac{cos( \theta + \pi)}{1 + sin \theta}}\)\(\\\)
[\(\tt{cos(\theta+\pi)=-cos\theta }\) ]
\(\sf{\dfrac{cos \theta}{1 - sin \theta} - \dfrac{-cos\theta }{1 + sin \theta}}\) \(\sf{\dfrac{cos \theta}{1 - sin \theta} + \dfrac{cos\theta }{1 + sin \theta}}\)\(\\\)
\(\sf{cos\theta(\dfrac{1}{1-sin\theta}+\dfrac{1}{1+sin\theta} ) }\)\(\sf{cos\theta(\dfrac{1+sin\theta+1-sin\theta}{(1)^2-(sin\theta)^2 })}\)\(\sf{cos\theta(\dfrac{1\cancel{+sin\theta}+1\cancel{-sin\theta}}{(1)^2-(sin\theta)^2 })}\)\(\sf{cos\theta(\dfrac{2}{1-sin^2\theta })}\)\(\\\)
[\(\tt{1-sin^2\theta=cos^2\theta }\) ]
\(\sf{cos\theta(\dfrac{2}{cos^2\theta })}\)\(\sf{cos\theta(\dfrac{2}{cos\theta×cos\theta })}\)\(\sf{\cancel{cos\theta}×(\dfrac{2}{cos\theta×\cancel{cos\theta} })}\)\(\sf{\dfrac{2}{cos\theta} }\)\(\sf{ }\)
\(\sf{ }\)
\( \therefore{ \frac{cos( - \theta)}{1 - sin \theta} - \frac{cos( \theta + \pi)}{1 + sin \theta} = \frac{2}{cos \theta} }\)(proved)
Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.
The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18
According to the question:
We are required to select all the ratios that have the same constant of proportionality as Ada's observation.let y and x represent amount of juice and oranges respectively;
y = juices squeezed outx = Oranges squeezed iny = k × x5 = k × 35 = 3kk = 5/3
The ratios equivalent to the constant of proportionality is 15/9, 30/18
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Answer:
Step-by-step explanation:
9:15 15:25 6:10
The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1. 7 + 1. 48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction?
While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.
This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.
Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:
Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.
Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.
Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.
In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.
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Simplify: 2(5+3x) + (x + 10)
Answer:
= 20 + 7x
Step-by-step explanation:
2(5+3x) + (x + 10)
10 + 6x + (x + 10)
= 20 + 7x
The simplified expression is 20+7x.
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given:
2(5+3x) + (x + 10)
Now, simplifying
10 + 6x + x +10
=10 + 10 + 6x + x
=20 + 7x
Hence, the simplified expression is 20+7x
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Suppose that u and v are vectors in R to the seventh power both of length 2 the square root of 2 and that the length of u − v is also2 the square root of 2 . Thenparallel-to u plus v parallel-to
Answer:
The angle between u and v is π/3 and parallel-to u plus v parallel-to = k*(u+v) (where k=const)
Step-by-step explanation:
In this question, one is expected to find the angle between u and v, and to get this angle, I will use the triangle formula.
|u-v|^2 = |u|^2 + |v|^2 - 2*|u|*|v|*cosθ
(2√2)² = (2√2)² + (2√2)² - 2(2√2)*(2√2)*cosθ
Expanding (2√2)² = (2√2)*(2√2) = 2*2*2 = 8
8 = 8 + 8 - 16*cosθ
8 = 16 - 16*cosθ
8 - 16 = -16*cosθ
-8 = -16*cosθ
cosθ = 8/16 = 1/2 = 0.5
θ = cos^(-1) (0.5)
θ = π/3
The angle between u and v is π/3 and parallel-to u plus v parallel-to = k*(u+v) (where k=const)
Which linear function shows a direct variation?
A.) Graph A
B.) Graph B
C.) Graph C
D.) Graph D
Answer:
I think it is C
Step-by-step explanation:
what is 0.5% of 30,193,864
Answer:
what is 0.5% of 30 = 0.15
what is 0.5% of 193 = 0.965
what is 0.5% of 864 = 4.32
Step-by-step explanation:
Which equation shows the distributive property? (a) 6 x 3 + 6 x 8 = 6 x (3 + 8) (b) 5 + (22 + 19) = (5 + 22) + 19 (c) 20 x 10 = 10 x 20 (d) 45 + 7 = 7 + 45
help me please
What is the price of an article costing
Rs 1300 after levying 13 value Added Tax
find it
SP-?
CP-1300
VAT% - 13%
Answer: Rs 1469
Step-by-step explanation:
Coat of item = RS 1300
Value added tax = 13%
The price of the item will then be calculated as:
= 1300 + (1300 × 13%)
= 1300 + (1300 × 0.13)
= 1300 + 169
= Rs 1469
Lillian bought snacks for her team's practice. She bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48. How much was each bottle of juice?
Answer:
$1.030 ($1.03 rounded.)
Step-by-step explanation:
First, we need to start of making an equation.
$2.36 + x = 6.48.
We will use x as the variable for the amount of each bottle of juice, because it is unknown.
Then, we must put the variable on one side of the equation. To do this, we must subtract $2.36 from $6.48; and $2.36 - $2.36.
$2.36 - $2.36 crosses out; 0. $6.48 - $2.36 = $4.12.We get the result that x = $4.12. However, only 1 pack is $4.12, and we must find the cost of 4 juice bottles. Therefor, we divide 4.12 by 4.
4.12 / 4 = 1.030. Now, to round the answer, this would be $1.03 per bottle.If Lillian bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48 then each juice bottle costs $1.03.
Let's denote the cost of each juice bottle as "x".
Since Lillian bought a 4-pack of juice bottles, the total cost of the juice is 4x.
Given that the total cost before tax was $6.48, we can set up an equation:
Cost of apples + Cost of juice = Total cost
$2.36 + 4x = $6.48
Now, solve for "x":
4x = $6.48 - $2.36
4x = $4.12
x = $4.12 / 4
x = $1.03
Hence, Each bottle of juice costs $1.03.
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What is the equation of a horizontal line passing through the point (−3, 8)
we want to test if more than 6% of byu students are from texas. is the sampling distribution of p-hat approximately normal in this example? group of answer choices yes, because n > 30. no, because the sample distribution is not normal. no, because the sampling distribution of p-hat does not have a shape. yes, because np0 > 10 and n(1-p0) > 10.
Yes, because\(np0 > 10\)and \(n(1-p0) > 10\).
Thus, the sampling distribution of p-hat is approximately normal, given the conditions of \(np0 > 10 and n(1-p0) > 10.\)
This is because the sampling distribution of p-hat follows the Central Limit Theorem, which states that when sample sizes are greater than 30,
the sampling distribution of the sample proportion will be approximately normal. The Central Limit Theorem is used in this example because the number of BYU students from Texas (n) is greater than 30, so the sample proportion (p-hat) is normally distributed.
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What is the green dashed line called?
Answer:
axis of symetry
Step-by-step explanation:
Beast_Building on yt
-7x+y 3+7x^3 +6x−3y^3−2x^3 +3x
\(\circ\sf\:-7x+y^3+7x^3+6x-3y^3-2x^3+3x\)
\(\circ\sf\:(-7x+6x+3x)+(y^3-3y^3)+(7x^3-2x^3)\)
\(\circ\sf\:(-7x+9x)+(-2y^3)+(5x^3)\)
\(\circ\sf\:2x-2y^3+5x^3\)
\(\circ\:\underline{\boxed{\bf{\blue{x(2-5x^2)-2y^3}}}}\)
16, 6, 12, 5, 12
Find the mean and median number of hours for these students.
If necessary, round your answers to the nearest tenth.
Mean: hours
X Х
?
Median: hours
Answer:
mean: 10.2
median: 12
Step-by-step explanation:
Problem 2: Malia purchased 3 new shirts for $31.50. How much did each shirt cost? Use this problem to answer questions C & D.
A) What units are being compared in problem 2?
B) Solve the problem: Malia purchased 3 new shirts for $31.50. How much did each shirt cost? Label your answer appropriately.
Answer:
10.5
Step-by-step explanation:
We know that Malia purchased 3 new shirts for 31.50.
Using this knowledge, to find the cost of one we can divide 31.50 by 3.
\(31.5/3=10.5\)
Each shirt costs 10.5
A. The shirts she's buying??? Don't understand what this means
B. Same answer as before, $10.5 dollars.
Using the Acetoacetic Ester Synthesis, which alkyl halide(s) can be used with ethylacetoacetate and ethoxide base to eventually lead to the pendak 2-henne? (A) CH₂B and CH₂CH₂CHICHICH (1) CHICH₂CH₂CH₂B (C) CH₂CH₂CH₂CH₂CH₂ (D) CH₂B and CH₂CH₂CH₂CH₂Be (E) CH,CH₂CH₂CH₂CH₂CH₂Br 8. How many chiral centers are present in the open form of a D-aldohexose? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 9 In the proton NMR spectrum of the compound shown below, what is the splitting of the methylene protons signal indicated by the arrow? CH₂-CH₂-O-CH-CH₂ (A) Singlet (B) Doublet (C) Triplet (D) Quartet - (E) Multiplet
1. (B) CH₂CH₂CH₂CH₂CH₂ - Alkyl halide for Acetoacetic Ester Synthesis leading to pendak 2-henne.
2. (C) 3 - Open form of D-aldohexose contains three chiral centers.
3. (C) Triplet - Methylene protons signal in proton NMR spectrum indicated by arrow.
1. The correct answer for the first multiple-choice question is option (B) CH₂CH₂CH₂CH₂CH₂. This alkyl halide can be utilized in the Acetoacetic Ester Synthesis along with ethylacetoacetate and ethoxide base to ultimately yield the product pendak 2-henne.
2. In the open form of a D-aldohexose, there are three chiral centers present. Chiral centers are carbon atoms that are bonded to four different substituents. The open form of a D-aldohexose is a six-carbon sugar containing an aldehyde group (-CHO) and five hydroxyl groups (-OH). Excluding the aldehyde carbon, each carbon atom in the chain has the potential to be a chiral center, resulting in a total of three chiral centers.
3. The proton NMR spectrum of the compound shown indicates that the methylene protons' signal, marked by the arrow, exhibits a triplet splitting pattern. In NMR spectroscopy, a triplet pattern signifies the presence of two chemically nonequivalent neighboring protons that couple with each other. This coupling leads to the splitting of the signal into three peaks of approximately equal intensity.
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O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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Instructions = a. Perform a horizontal percent of base year analysis of WestJet's income statement and balance sheet, assuming 2013 is the base year. b. Using the analyses you prepared in part (a), id
The task requires performing a horizontal percent of base year analysis on WestJet's income statement and balance sheet, considering 2013 as the base year. This analysis will help identify the trends and changes in financial figures over the specified period.
To conduct a horizontal percent of base year analysis, we compare the financial figures of subsequent years to the base year and calculate the percentage change. Here's how the analysis can be performed:
a. Income Statement Analysis:
Calculate the percentage change in each line item of the income statement by comparing it to the corresponding figure in the base year (2013).
For example, if the revenue in 2013 is $100 and it increases to $120 in 2014, the percentage change would be [(120 - 100) / 100] * 100 = 20%.
Perform this calculation for each line item in the income statement to determine the percentage change for each year.
b. Balance Sheet Analysis:
Similar to the income statement analysis, calculate the percentage change in each line item of the balance sheet by comparing it to the corresponding figure in the base year (2013).
For example, if the total assets in 2013 are $500 and they increase to $600 in 2014, the percentage change would be [(600 - 500) / 500] * 100 = 20%.
Perform this calculation for each line item in the balance sheet to determine the percentage change for each year.
Using the analyses prepared in part (a), we can identify the trends and changes in WestJet's income statement and balance sheet over the specified period. By comparing the percentage changes, we can determine which line items have shown significant growth or decline compared to the base year. This analysis helps in assessing the company's financial performance, identifying areas of strength or weakness, and making informed decisions based on the observed trends.
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Workout the value for 3x^2-5y
when x=3 and y=4, i think the answer is 61 because :
3*3=9,
9^2=81,
5*4=20,
81-20=61
I just want to make sure that my answer is correct, can you pls tell me if it’s correct? I’ll give you 10 points hehe
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $28.4, and the standard deviation is known to be $6.6. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.56
To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.
To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.
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In the fraction below, which number is the numerator?
3
4
।
Answer:
3
Step-by-step explanation:
because 3 i less than 4