how large a sample is needed if we wish to be % confident that our sample mean will be within hours of the true mean?
Answers
To determine the sample size needed to have a % confidence that our sample mean will be within hours of the true mean, we would need to use a formula. Specifically, we would use the formula: n = (Z^2 * s^2) / E^2
Where n is the sample size needed, Z is the z-score associated with the desired confidence level, s is the standard deviation of the population, and E is the margin of error (in this case, the specified difference of hours between the sample mean and true mean).
Assuming we have information about the population standard deviation (s), we can plug in the values for Z, s, and E to find the necessary sample size. For example, if we wanted to be 95% confident that our sample mean would be within 2 hours of the true mean, we would use a Z-score of 1.96 (which corresponds to a 95% confidence level). Let's say the population standard deviation is 5 hours. Plugging in these values, we would get:
n = (1.96^2 * 5^2) / 2^2
n = 96.04
So we would need a sample size of at least 97 in order to be 95% confident that our sample mean would be within 2 hours of the true mean.
To determine the sample size needed to be confident that our sample mean will be within a specific number of hours of the true mean, we need to know the confidence level, standard deviation, and margin of error (in hours). The formula for calculating the sample size is:
n = (Z^2 * σ^2) / E^2
where:
n = sample size
Z = Z-score corresponding to the desired confidence level
σ = population standard deviation
E = margin of error (in hours)
Once you provide the confidence level, standard deviation, and margin of error (hours), we can plug in the values and calculate the required
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Related Questions
amahle buys a bag of cookies that contains 7 chocolate chip cookies, 7 peanut butter cookies, 9 sugar cookies, and 8 oatmeal cookies. what is the probability that amahle reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? round your answer to four decimal places.
Answers
The probability that Amahle randomly selects a chocolate chip cookie from the bag, eats it, and then randomly selects an oatmeal cookie is 0.0068, rounded to 4 decimal places.
The probability that Amahle randomly selects a chocolate chip cookie and then an oatmeal cookie from a bag containing 7 chocolate chip cookies, 7 peanut butter cookies, 9 sugar cookies, and 8 oatmeal cookies can be calculated using the formula for conditional probability:
P(Oatmeal | Chocolate chip) = P(Chocolate chip and Oatmeal) / P(Chocolate chip)
The probability of selecting a chocolate chip cookie from the bag is 7/31, since there are 7 chocolate chip cookies in a bag of 31 total cookies. After Amahle selects and eats a chocolate chip cookie, there are 6 chocolate chip cookies and 30 total cookies remaining in the bag.
The probability of selecting an oatmeal cookie from the remaining cookies in the bag is 8/30, since there are 8 oatmeal cookies and 30 total cookies remaining.
Therefore, the probability of selecting a chocolate chip cookie and then an oatmeal cookie is:
P(Chocolate chip and Oatmeal) = (7/31) * (8/30) = 0.00678 (rounded to 4 decimal places)
The probability of selecting a chocolate chip cookie is 7/31, as mentioned earlier. Therefore, the probability of selecting an oatmeal cookie given that a chocolate chip cookie has been selected is:
P(Oatmeal | Chocolate chip) = (7/31) * (8/30) / (7/31) = 8/210 = 0.0381 (rounded to 4 decimal places)
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What are the tax consequences to Euclid from the following independent events? In your computations, do not round intermediate division. If required, round the per share answer to two decimal places. Round all other answers to the nearest dollar. a. Euclid bought 500 shares of common stock five years ago for $50,000. This year, Euclid receives 20 shares of common stock as a nontaxable stock dividend. As a result of the stock dividend, Euclid's per share basis is $ X. b. Assume instead that Euclid received a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000. After the receipt of the stock dividend, the basis of the preferred stock is $ X, and the basis of the common stock is Φ
Answers
Euclid receives 20 shares of common stock as a nontaxable stock dividend.The basis of the common stock remains the same as in scenario a, which is $96.15 per share.
To calculate the per share basis, we divide the original purchase cost by the total number of shares (including the dividend shares). In scenario b, Euclid receives a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000.
The tax consequences involve determining the new basis of the preferred stock and the common stock after the dividend. a. To find the per share basis of Euclid's common stock after receiving the stock dividend, we divide the original purchase cost by the total number of shares. The original purchase cost was $50,000 for 500 shares, which means the per share basis was $50,000/500 = $100. After receiving 20 additional shares as a dividend, the total number of shares becomes 500 + 20 = 520.
Therefore, the new per share basis is $50,000/520 = $96.15. b. In this scenario, Euclid receives a preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock has a fair market value of $75,000. To determine the new basis of the preferred stock, we consider its fair market value.
Since the preferred stock dividend is nontaxable, its basis is equal to the fair market value, which is $5,000.
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How many square feet of outdoor carpet will we need for this hole?
Answers
Answer:
38 square feet
Step-by-step explanation:
Triangle 1: area = bh / 2 -> 3x4 / 2 = 6 square feet
Triangle 2: area = 4x4 / 2 = 8 square feet
Rectangle: area = 8x3 = 24 square feet
6 + 8 + 24 = 38 square feet
issabele drinks orange juice for 36 days in a row each day she drinks 2 cups witch pair of expressions shows two ways to determine the total number of cups of orange juice that isabelle drinks? answer's A) 30 x 2 and 30 x 6 B) 36x 2 and 30 x 2 C) (36 X 2) + (6 X 2) And 2 + 2 D) (30 x 2) + (6 x 2) and 36 + 36 answer these questions and i will giveaway a giftcard
Answers
Answer:
it would be D) (30 x 2) + (6 x 2)
If you pick a card from a standard deck find the following probabilities write your answer as a reduce fraction with no spacesP(even number card or face card)P(number card or heart)
Answers
Given data:
The given deck of card.
The probability of even number card or face card is,
\(\begin{gathered} P(\text{even or face)=P(E)+P(f)} \\ =\frac{20}{52}+\frac{12}{52} \\ =\frac{32}{52} \\ =\frac{4}{13} \end{gathered}\)Thus, the probability of even number card or face card is 4/13.
The probability of numbered card or heart is,
\(\begin{gathered} P(x)=\frac{36}{52}+\frac{13}{52}-\frac{9}{52} \\ =\frac{40}{52} \\ =\frac{10}{13} \end{gathered}\)Thus, the probability of numbered card or heart is 10/13.
On her way to a concert, Hermione stopped at a restaurant for dinner. In her purse, she had 12 bills worth a total of $40. She had only $1 bills and $5 bills. How many $5 bills did Hermione have in her purse?
1
2
5
7
Answers
Let x be the number of $1 bills and y be the number of $5 bills that Hermione had in her purse. Then we can write two equations based on the given information:
x + y = 12 (because Hermione had 12 bills in total)
x + 5y = 40 (because the total value of the bills was $40)
We can solve this system of equations by first solving the first equation for x:
x = 12 - y
Substituting this expression for x into the second equation, we get:
(12 - y) + 5y = 40
Simplifying and solving for y, we get:
4y = 28
y = 7
Therefore, Hermione had 7 $5 bills in her purse. Answer: 7.
Isabel need to cut a square piece of wood with the area of 70 in.² approximate the size of the square round to the nearest 10th of a inch
Answers
Answer:
8.4 in by 8.4 in
Step-by-step explanation:
The area of a square is the side length squared.
Let s be the side length:
s^2 = 70
s = \sqrt(70) = 8.4 in
What is the smallest set of integers for which we are guaranteed there exist two whose difference is a multiple of 14
Answers
Therefore, The smallest set of integers guaranteed to have a difference that is a multiple of 14 is 15. This is due to the Pigeonhole Principle and the 14 possible remainders when dividing integers by 14.
The smallest set of integers for which we are guaranteed there exist two whose difference is a multiple of 14 is 15. This can be explained by considering the possible remainders when dividing integers by 14. There are 14 possible remainders (0 to 13), but if we choose 15 integers, then by the Pigeonhole Principle, at least two of them must have the same remainder when divided by 14. The difference between these two integers will be a multiple of 14, as their remainders are the same. Therefore, the smallest set of integers required is 15.
Therefore, The smallest set of integers guaranteed to have a difference that is a multiple of 14 is 15. This is due to the Pigeonhole Principle and the 14 possible remainders when dividing integers by 14.
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Alex knits hats and scarves to sell at a craft market. He can make at most 20 hats and 30 scarves, but no more than 40 items altogether, in time for the market.
Write and graph a system of inequalities that shows the possible numbers of hats and scarves Alex can bring to the craft market if he wants to bring at least 25 items. Identify three (3) possible combinations, and say which he should
choose.
Answers
The three (3) possible combinations are
hats = 10, scarves = 30hats = 10, scarves = 20hats = 20, scarves = 20Alex should 20 hats and 20 scarves
How to find the possible combinations Alex can bring to the marketLet the number of scarves be x and y be the number of hats
He can make at most 20 hats and 30 scarves, but no more than 40 items altogether
x ≤ 20
y ≤ 30
x + y ≤ 40 (in time of market)
x + y ≥ 25
The possible combinations are
1 ⇒ x = 10, y = 302 ⇒ x = 10, y = 203 ⇒ x = 20, y = 20He should choose the third option x = 20, y = 20 this allows him to take more products to the show
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3/5 of an apple tree are ripe what PERCENT of the tree is NOT ripe?
Answers
Answer:
40 percent
Step-by-step explanation:
100 / 5 = 20
⅕ = 20 percent
⅗ = 60 percent
100 - 60 = 40
3. if the provided hash value is the same as the one you calculated, does that mean that this is absolutely the right file that delivers what it promises, or could it be malicious? explain.
Answers
When comparing hash values, if the provided hash value matches the one you calculated, it means that the file you have received is identical to the original file used to calculate the hash. This implies that the file has not been modified or tampered with since the hash was generated.
However, it is important to note that a matching hash value does not guarantee that the file is completely safe or trustworthy. Hash functions are designed to generate a unique hash value for each unique input, but it is still theoretically possible for two different files to have the same hash value (known as a collision). Although the chances of a collision are extremely low with well-designed hash functions, it is not entirely impossible.
Therefore, while a matching hash value provides some level of confidence that the file has not been altered, it does not guarantee the integrity or security of the file. Other factors should be considered, such as the source and reputation of the file, the context in which it was obtained, and the presence of any additional security measures or verification methods.
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A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, what would be the slope?
50
25
75
0
Answers
Answer:
slope is 25 because the equation is y=25x+50
Step-by-step explanation:
heres the official answer
Pls help :(
where are the vertical asymptotes for y = 7tan(0. 4x)?
Answers
Answer:
x = 3.92699081 + 7.85398163n where n is an integer
AK and CG intersect at point M in plane T
Answers
I'll give brainiest
all quadrilaterals have four sides true or false
pls explain why
Answers
Answer:
True
Every quadrilateral has 4 sides, 4 vertices, and 4 angles. 4. The total measure of all the four interior angles of a quadrilateral is always equal to 360 degrees.
What value of x makes the 2 triangles congruent by SAS? Find the length of FE
Answers
Answer:
x = 4
FE = 8
Step-by-step explanation:
Congruent means equal. Notice how both F and C equal 30 degrees while line AC and line DF are both equal to 9 inches. This means we can equal line CB to line FE to find the value of x:
2x = x + 4
Isolate variable x by subtracting both sides by x:
2x - x = x - x + 4
x = 4
Check your work:
2(4) = 4 + 4
8 = 8
Correct
I need help comparing the fractions using <, > or =. I have school in 40 minutes and fractions is the last thing i'm good at.
Answers
i hope i helped)))))))))
Match the number on the net with the appropriate vertex on the prism.
Answers
Answer:
1. D
2. A
3. H
4. C
5. G
Step-by-step explanation:
What is the length of the diagonal?
Answers
Answer: 5.657
Step-by-step explanation:
Split it into two right triangles, with the hypotenuse being the diagonal.
Then, a square plus b square = c square
So, 4 square + 4 square = c square
16 + 16 = c square
32 = c square
square root of 32 = c
square root of 32 = ~5.657
c = ~5.657
A cable on a fishing boat lowers a fish trap into a lake at a rate of 3 1/2 feet per second. What is the change in depth of the fish trap after 12 seconds?
Answers
Answer:
After 12 Seconds the cable would be 42 Ft down in depth
Step-by-step explanation:
3 1/2 Ft = 1 Second
3 1/2 Ft x 12 Seconds = 42Ft in Depth
The change in the depth of the fish trap after 12 second is 30 feet.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Given, a cable on a fishing boat lowers a fish trap into a lake at a rate of 3 1/2 feet per second.
\(3\frac{1}{2}\) = 5/2 feet per second.
To find the change in depth of the fish trap after 12 seconds:
Multiplied by 12 to the rate of feet per second.
5/2 x 12
= 30 feet
The change of rate is 30 feet per 12 second.
Therefore, the change in depth is 30 feet per 12 second.
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a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval
Answers
The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.
It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.
The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.
The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.
A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.
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Which graph represents the solution to the linear system
Sy=-3x-5
-5?
y= 3x +1
Answers
Answer:
Step-by-step explanation: both graphed is D
The graph D represents the solution of the system of the equation.
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given, the system of equation;
y = -3x - 5 {equation 1}
y = 3x + 1 {equation 2}
Add both of the equation:
2y = -4
y = -2
And x = 1
And the solution set is (1 , -2).
And only D have the solution set (1 , -2)
Therefore, the graph D represents the solution of the system of the equation.
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The area of a parallelogram that has the base of 15m and A height of 13
Answers
Answer:
···⇒Area=195m²
Step-by-step explanation:
\(Solution,\\\\Base(b)=15m\\\\Height(h)=13m\\\\Now,\\\\Area=b*h\\\\Area=15m*13m\\\\Area=195m^{2}\)
Answer:
The area of parallelogram is 195 m².
Step-by-step explanation:
As per given question we have provided that :
\(\purple\star\) Base = 15 m\(\purple\star\) Height = 13 mHere's the required formula to find the area of parallelogram :
\(\longrightarrow{\pmb{\sf{A = B \times H}}}\)
\(\pink\star\) A = Area \(\pink\star\) B = Base\(\pink\star\) H = HeightSubstituting all the given values in the formula to find the area of parallelogram :
\(\longrightarrow{\sf{A = B \times H}}\)
\(\longrightarrow{\sf{A = 15 \times 13}}\)
\(\longrightarrow{\sf{A = 195}}\)
\(\star{\underline{\boxed{\sf{\red{A = 195 \: {m}^{2}}}}}}\)
Hence, the area of parallelogram is 195 m².
\(\rule{300}{2.5}\)
Poultry Layer Ration - Evaluate the ration. Malze Barley Molasses Cottonpeed Meal Fish Meal Dicalcium Phosphate Total Requirement Total-Requirement Content Gikg 612 158 20 100 100 10 1000 ME MJkg 8.58 0.70 0.16 0.78 1:08 12.0 11.1 0.9 CP g/kg 53.86 7.35 0.64 44.00 64 20 170 160 10 LYS g/kg 1.47 0.25 1.73 4.90 84 7.3 MET g/kg 2.14 0.23 1.73 2.52 6.6 5.5 PHE TRP g/kg g/kg 5.63 0.55 0.61 0.09 3.00 4.88 14.1 7.0 7.1 0.55 0.74 1.0 14 -0.4 Ca g/kg 0.12 0.02 0.18 0.15 3.73 213 6.3 35 -287 P g/kg 0.57 0.08 0.01 0.30 2.43 1.87 5.2 0.2 Na g/kg 0.12 0.03 0.04 0.88 0.01 3.0 1.5 1.5 Consumers had complained that these were the funniest looking eggs they had ever seen and tasted terrible. Additionally the egg producer had complained that feed intake had dropped off slightly. The ration was feed as a coarsely ground mash. Provide an explanation for the above conditions and make recommendations for feed changes to alleviate the problem. Your recommendations should include choice of feeds and any other factor you think may be important. No calculations are required.
Answers
The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.
Based on the given information, the poultry layer ration contains the following ingredients:
- Maize: 612 g/kg
- Barley: 158 g/kg
- Molasses: 20 g/kg
- Cottonseed Meal: 100 g/kg
- Fish Meal: 100 g/kg
- Dicalcium Phosphate: 10 g/kg
The ration also provides the total requirements for various nutrients, such as metabolizable energy (ME), crude protein (CP), lysine (LYS), methionine (MET), phenylalanine (PHE), tryptophan (TRP), calcium (Ca), phosphorus (P), and sodium (Na).
The complaints regarding funny-looking and terrible-tasting eggs, along with a slight decrease in feed intake, suggest that there may be issues with the ration that are impacting egg quality and palatability. Based on this information, here are some possible explanations and recommendations:
1. Imbalanced Nutrient Composition: The nutrient content of the ration may be imbalanced, leading to poor egg quality and taste. It's important to ensure that the nutrient levels are appropriate for poultry layer production. A consultation with a poultry nutritionist or veterinarian would be beneficial to determine the correct nutrient ratios for the ration.
2. Inadequate Amino Acid Balance: The amino acid balance in the ration is crucial for egg production and quality. The levels of lysine (LYS), methionine (MET), phenylalanine (PHE), and tryptophan (TRP) should be carefully evaluated. Supplementing the ration with specific amino acids or adjusting the protein sources may help improve egg quality.
3. Insufficient Calcium and Phosphorus: Calcium and phosphorus are essential for eggshell formation. The provided ration appears to have low levels of calcium (Ca) and phosphorus (P), which can lead to weak or abnormal eggshells. Increasing the levels of these minerals, either by adjusting the ratio of existing ingredients or incorporating additional calcium and phosphorus sources, may help address this issue.
4. Sodium Imbalance: Sodium (Na) is required for various physiological functions, including egg production. However, the ration seems to have a low sodium content. Ensuring adequate sodium levels in the diet might help stimulate feed intake and improve overall performance.
5. Texture and Processing: The ration is described as a coarsely ground mash. The texture and processing of the feed can influence how well the birds consume and utilize the ration. It might be worth exploring different feed forms (e.g., pellets or crumbles) to improve intake and digestion.
Overall, to alleviate the reported issues with egg quality and palatability, it is recommended to consult with a poultry nutritionist or veterinarian to reformulate the ration. The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.
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5) A warehouse outside of a factory currently has an inventory of 1245 boxes. After an 8-
hour work day, the warehouse has 2000 boxes. Assume the warehouse was being filled at a
constant (linear) rate.
a) How many boxes per hour is the factory able to provide to the warehouse?
b) What would be the inventory at the end of a 40-hour work week?
c) How long will it take to fill the warehouse to its 50,000 box capacity?
6) In the year 2007, a FOREVER stamp cost cost $0.41. In 2023, the cost of a FOREVER
stamp was $0.63. Assume that the cost of stamps increased at a constant (linear) rate.
a) If price increases continue at the current rate, how much will a FOREVER stamp
cost in 2035?
b) In what year would you expect a FOREVER stamp to cost one dollar?
7) In January of 2021, there were 980,000 games available on the Apple App Store. By July
of 2021, there were 984,200 games available. If we assume that the number of available
games is steadily increasing at a constant (linear) rate,
a) How many games does this pattern predict will be available in January 2022?
b) At this rate, when will there be 1,000,000 games available for purchase in the Apple
App Store?
Answers
Thee factory is able to provide 94.38 boxes per hour to the warehouse.
How to calculate the valueRate = (2000 - 1245) / 8 = 94.38 boxes per hour
Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.
Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2
Therefore, the inventory at the end of a 40-hour work week would be:
1245 + 3775.2 = 5020.2 boxes
rate = (50000 - 1245) / time
Simplifying this equation, we get:
time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).
Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,
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PLZ HELP ASAP!!!!!!!!
Answers
Answer: 3:2
Step-by-step explanation:
the base ratio of unused tape to used tape is 24:16.
then we have to simplify,
both 16 and 24 can be divided by eight,
24 divided by eight is 3
16 divided by eight is 2
therefore, our simlpified ratio is 3:2
hope this helped! <3
Help until 10:15! consider the expression 40 + 24. find the greatest common factor of the two numbers, and rewrite the expression using the distributive property.
Answers
Answer:
8(5+3)
hope this helps
what two numbers multiple to -48 & add to -8
Answers
Answer:
-12 and 4
Step-by-step explanation:
-12 x 4 = 48
and
-12 + 4 = -8
Answer:
-12 and +4
Step-by-step explanation:
-12 * 4 = - 48
-12 + 4 = - 8
How did Captain Hook Get Injured?
Answers
Captain Hook Get Injured from the previous battle with Peter.
It is required to how the Captain Hook Get Injured.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
Hook sits in his room, sick and injured from the previous battle with Peter. He is bothered by Smee hammering up a sign asking to not disturb the captain. But when Hook tries to attack Smee, he is accidentally smacked on the head with the hammer, causing him to briefly lose consciousness.
Therefore, Captain Hook Get Injured from the previous battle with Peter.
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If angle 2 is 130°, what are the measures of 1, 3 and 4
Answers
Answer:
The missing are 8°, 16°, 24°.Let the missing angles be x, 2x, 3x.
X + 130° + 2x + 3x = 180°. (sum of angles is 180°)
6x + 130° = 180°
6x = 180°- 130°
6x = 50°
x = 50° ÷ 6
x = 8°
:. 2x = 8 × 2
16°
:. 3x = 8 × 3
24°
Step-by-step explanation:
Hope it is helpful...