find c so that the sample mean is greater than 0.5 - c and less than 0.5 c, but less than 0.5+c with appoximately probability 0.95. That is, find c so that P(0.5 - c < X<0.5+c) = 0.95
Answers
The c is /√
Defination of mean in mathematics?
In mathematics, the is a measure of central tendency of a set of numerical data.
Now, the answer is,
To solve this problem, we need to find the range of values for c such that the probability of the sample faling within the interval (0.5 - c, 0.5 + c) is approximately 0.95.
Let X be the random variable representing the sample mean. We know that X has a normal distribution with mean μ and standard deviation σ/√n, where μ is the population mean, σ is the population standard deviation, and n is the sample size.
Using the normal distribution tables or a calculator, we can find that the probability of X falling within 1.96 standard deviations of the mean is approximately 0.95. That is,
P(-1.96 < Z < 1.96) = 0.95,
where Z = (X - μ) / (σ/√n) is the standard normal random variable.
Substituting the values of μ = 0.5 and σ/√n = 0.5c, we get
P(0.5 - c < X < 0.5 + c) = P((-1.96)(0.5c) < Z < (1.96)(0.5c))
= P(-0.98c < Z < 0.98c)
= 0.95.
Using the normal distribution tables again, we can find that the probability of Z falling within (-0.98, 0.98) is approximately 0.6915. Therefore, we need to solve the equation
0.6915 = P(-0.98c < Z < 0.98c) = P((0.5 - c - μ)/(σ/√n) < Z < (0.5 + c - μ)/(σ/√n))
= P((0.5 - c - 0.5)/(0.5c/√n) < Z < (0.5 + c - 0.5)/(0.5c/√n))
= P(-√n < Z < √n).
The solution to this equation is c = 1/2√n.Therefore, the range of values for c such that the sample mean falls within (0.5 - c, 0.5 + c) with approximately probability 0.95 is given by
0 < c < 1/2√n.
The c is 1/2√n
the answer of c is /√
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Related Questions
1. When it comes to laws about alcohol, when is a person no longer
considered a minor?
O A. At 16 years of age
O B. At 18 years of age
O C. At 21 years of age
O D. At 30 years of age
Submit
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PLEASE HELP QUICK!!! Henry is going to invest in an account paying an interest rate of 4.3% compounded
continuously. How much would Henry need to invest, to the nearest dollar, for the
value of the account to reach $820 in 13 years?
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Answer: P ≈ 469
Step-by-step explanation:
solve for xxx. reduce any fractions to lowest terms. don't round your answer, and don't use mixed fractions. 54x 64 \geq 49x 5954x 64≥49x 59
Answers
The inequality 54x/64 ≥ 49x/59 simplifies to x ≥ 0. Thus, the solution for x is greater than or equal to zero.
To solve the inequality 54x/64 ≥ 49x/59, we can begin by cross-multiplying:
(54x)(59) ≥ (49x)(64)
3186x ≥ 3136x
Next, we can subtract 3136x from both sides:
3186x - 3136x ≥ 0
50x ≥ 0
Finally, we divide both sides by 50:
x ≥ 0/50
x ≥ 0
Therefore, the solution to the inequality is x ≥ 0.
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This graph suggests that the greater the rainfall in June through August, the fewer acres are burned by wildfires. Which factor in the graph supports this idea?
Answers
The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.
The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.
The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.
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(GIVING BRAINLIEST) During a snowstorm the temperature drops from 0 F to - 7 in 7 hours on average by how many degrees is the temperature changing per hour
Answers
Answer: A. 1*F
Step-by-step explanation:A-P-E-X
No link please I need a answer
Answers
Answer: 10
Step-by-step explanation:
We need to find the hypotenuse (the hypotenuse is the diagonal side of a right triangle), so we can use this formula: \(a^2+b^2=c^2\)
The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.
So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b
\(a^2+b^2=c^2\)
\(6^2+8^2=c^2\)
\(36+64=c^2\)
\(100=c^2\)
\(\sqrt{100}=c\)
\(c=10\)
what percent of flights are expected to meet the 20 minute "time to carousel"?
Answers
that it is difficult to determine an exact percentage of flights that are expected to meet the 20 minute "time to carousel" as it can vary depending on factors such as airport size, number of passengers, and baggage handling procedures. However, according to the Department of Transportation, the average wait time for baggage retrieval at major airports in the United States is around 30 minutes.
In explanation, the time it takes for baggage to reach the carousel after a flight lands is affected by several factors. These include the size of the airport, the number of passengers on the flight, the efficiency of baggage handlers, and any delays or issues that may occur during the transportation of the luggage from the plane to the carousel.
while it is difficult to provide an exact percentage of flights that meet the 20 minute "time to carousel" goal, it is clear that wait times for baggage retrieval can vary and can sometimes exceed 30 minutes. Factors such as airport size and efficiency of baggage handling can contribute to this variation.
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Explain how the following would affect the margin of error of a confidence interval, if all other things remained the same. Increasing the confidence level
Answers
Increasing the confidence level would increase the margin of error of a confidence interval, all other things remaining the same. This is because a higher confidence level corresponds to a wider interval so larger range of possible values.
In order to maintain the same level of precision, a wider interval requires a larger margin of error to account for the increased variability in the data. For example, a 95% confidence interval would have a smaller interval width than a 99% confidence interval, as the latter requires a larger range of possible values to be included in the interval.
As a result, increasing the confidence level would increase the precision and accuracy of the estimate but at the cost of a larger margin of error.
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if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h, what are the mean and standard deviation of vehicle speed? (round your answers to three decimal places.) mean standard deviation
Answers
The mean is 58.319 m/h and the standard deviation is 11.665 m/h of the vehicle speed if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h.
The mean and standard deviation of the vehicle speed can be calculated by using the formula for z-score.
The z-score of measure X can be given as;
Z = X - μ / σ
In this case, 39.13 m/h is the 5th percentile; therefore when X = 39.13, Z has a p-value of 0.05, hence Z = -1.645
Z = X - μ / σ
-1.645 = (39.13 - μ) / σ
39.13 - μ = -1.645σ
μ = 39.13 + 1.645σ
Additionally, 73.25 m/h is the 90th percentile (100 - 10 = 90), therefore when X = 73.25, Z has a p-value of 0.9, hence Z = 1.28
1.28 = (73.25 - μ) / σ
73.25 - μ = 1.28σ
μ = 73.25 - 1.28σ
We can find the standard deviation by equalling both equations as follows;
39.13 + 1.645σ = 73.25 - 1.28σ
1.645σ + 1.28σ = 73.25 - 39.13
2.925σ = 34.12
σ = 34.12/2.925 = 11.665 m/h
Now the mean can be calculated as follows;
μ = 73.25 - 1.28σ
μ = 73.25 - 1.28(11.665)
μ = 58.319 m/h
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The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 10
pizzas in all, 4 of which were mushroom pizzas. What percentage of the pizzas were
mushroom pizzas?
Answers
see 10 as 100% so the 4 would be 40%:) have a great day
Answer:
40%
Step-by-step explanation:
4/10=.40
.40=40% as a percentage
can someone help me solve this system. thanks
2y = 6
3(x + y) = 12
Answers
Answer
y=3 x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
subtract 9 from both sides to get...
3x=3
divide 3 from both sides to get...
x=1
Step-by-step explanation:
this is very easy
2y=6
y=2/6=3
so ,
3(x+y)=12
3x+3y=12
3x+3+3=12
3x+9=12
3x=12-9
3x=3
x=3/3
x=1
19) Consider The Model Yi=B0+B1Xi+B2Ziui, If You Know The Variance Of Ui Is Σi2=Σ2zi2 How Would You Estimate The Regression?
Answers
To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.
In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.
To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.
In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.
By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.
Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].
By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.
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write and run a query on the wax.crayons table to find all the crayon colors with a value for the column red that is less than 110
Answers
According to the question SELECT color FROM wax_crayons WHERE red < 110.
To write and run a query on the "wax.crayons" table to find all the crayon colors with a value for the column "red" that is less than 110, you can use the following SQL query:
```sql
SELECT color
FROM wax.crayons
WHERE red < 110;
```
- "SELECT color" specifies that we want to retrieve the "color" column from the table.
- "FROM wax_crayons" indicates that we are querying the "wax_crayons" table.
- "WHERE red < 110" sets the condition that the value of the "red" column should be less than 110 to filter the results.
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Remarks : The correct question of Technology : write and run a query on the wax.crayons table to find all the crayon colors with a value for the column red that is less than 110
Find a positive number such that the sum of and is as small as possible. does this problem require optimization over an open interval or a closed interval? a. closed b. open
Answers
To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible.
To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible. So, we need to minimize the sum of and . Now, let's use calculus to find the minimum value of the sum.To find the minimum value, we have to find the derivative of the sum of and , i.e. f(x) with respect to x, which is given by f '(x) as shown below:
f '(x) = 1/x^2 - 1/(1-x)^2
We can see that this function is defined on the closed interval [0, 1]. The reason why we are using the closed interval is that x is a positive number, and both endpoints are included to ensure that we cover all positive numbers. Therefore, the problem requires optimization over a closed interval. This means that the minimum value exists and is achieved either at one of the endpoints of the interval or at a critical point in the interior of the interval.
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Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
$1278.23
Step-by-step explanation:
class 9
if (x+1) is a factor of x³+2x²-5x-6, then factorise it.
please give me the answer fast...
Answers
9514 1404 393
Answer:
(x +3)(x +1)(x -2)
Step-by-step explanation:
A graphing calculator is a good tool for finding factors fast. Each zero (p) gives rise to a factor (x -p).
The graph shows zeros at -3, -1, and 2, so your factorization is ...
(x +3)(x +1)(x -2)
one container is filled with a mixture that is 30% acid a second container is filled with the mixture that is 50% acid the second container is 50% larger than the first and the two containers are emptied into a third container what percent of acid is in the third container
Answers
Answer:
42%
Step-by-step explanation:
x is for the volume of the container
the amount filled in the first container=0.30x
the volume of the first container + 50% of the second=(x+x*50%)=1.5 x
the amount of acid in the second container= 1.5x * 50%=0.75x
total amount of acid in the third one =0.3x+0.75x=1.05x
total solution : x+1.5x=2.5x
percentage=1.05x/2.5x= 0.42 or 42%
how many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same (matching) suit are chosen
Answers
Answer:
Step-by-step explanation:
17
Write a rule for the following graph
Answers
Answer:
y = x + 1
Step-by-step explanation:
This is in slope intercept form. 1 is the point that you start at: (0, 1)
The slope is 1
y = 1x + 1 or
y = x + 1
The sum of the measures of ∠QRT and ∠TRS is 180∘.
What is the measure of ∠TRS?
Enter the correct answer in the box.
Answers
Answer:
90° i think..........
2x - 12 = 2(x-10)-87
Answers
The equation 2x - 12 = 2(x-10)-87 has no solutions.
Given: To find the value of x: 2x - 12 = 2(x - 10) - 87
What are algebraic expressions?
Algebraic expressions are sequences or combinations of characters containing letters, numbers, symbols, operators, and variables which are used to derive a certain relation among all of them.
What is an algebraic equation?
When an algebraic expression has a value it becomes an algebraic equation. The algebraic equation helps to make a relation between different variables for a problem.
Let's solve the question.
2x - 12 = 2(x - 10) - 87
Adding 12 on both sides:
2x - 12 + 12 = 2(x-10) - 87 + 12
=> 2x = 2(x -10) - 75
=> 2x = 2x - 20 - 75
=> 2x = 2x - 95
Adding -2x on both sides:
2x - 2x = 2x - 95 - 2x
0 = -95
This is contradictory.
The equation is independent of x, and 0 = -95 is false. Therefore, the equation has no solutions.
Hence the equation 2x - 12 = 2(x-10)-87 has no solutions.
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Use a linear equation to solve the word problem.
Two truck rental companies have different rates. V-Haul has a base charge of $75.00 , plus $0.50 per mile. W-Haul has a base charge of $69.10, plus $0.55 per mile. For how many miles would these two companies charge the same amount?
If a driver drives miles___________, those two companies would charge the same amount of money.
Answers
The equations are
\(\\ \tt\hookrightarrow y=0.50x+75\)
\(\\ \tt\hookrightarrow y=0.55x+69.10\)
x is no of milesNow
\(\\ \tt\hookrightarrow 0.55x+69.10=0.50x+75\)
\(\\ \tt\hookrightarrow 0.55x-0.50x=75-69.1\)
\(\\ \tt\hookrightarrow 0.05x=5.9\)
\(\\ \tt\hookrightarrow x=5.9/0.05\)
\(\\ \tt\hookrightarrow x=118mi\)
The ratio of red counters to green counters in a bag is 3:17. What percentage of the counters are red
Answers
Answer:
0.15%
Step-by-step explanation:
red is 3
the total is 20
percentage of red counters = 3 ÷ 20 = 0.15%
Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.
Payoffs are as follows:
u1(s1,s2)=1−[s1 −(1/2)s2]^4
uA2(s1,sA2)=100−[sA2 −s1−1/4]^2
uB2 (s1,sB2 )=100−[sB2 −s1]^2.
Find a Bayes-Nash equilibrium of this game.
Answers
The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.
Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.
Payoffs are as follows:
u1(s1,s2)=1−[s1 −(1/2)s2]^4
uA2(s1,sA2)=100−[sA2 −s1−1/4]^2
uB2 (s1,sB2 )=100−[sB2 −s1]^2.
To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.
The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.
A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.
This is a refinement of the Nash equilibrium that takes into account the players' information about the game.
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Find the value of x. x+35 4x
Answers
Please help! I will give Brainliest!
Answers
Answer:
A. 44/625
Step-by-step explanation:
There are 25 marbles total. To first calculate the probability of picking a yellow marble first can be represented as 11/25, the probability of picking blue is 4/25. We multiply these to figure out the probability of finding a yellow marble and then a blue one.
11/25 x 4/25 = 44/625
Consider a battery whose voltage is a random variable with a variance of 1. Two independent measurements of the voltage are taken to estimate the voltage, the first with a variance of 1, and the second with a variance of 4. a) Write the weighted least squares voltage estimate in terms of the initial estimate 30 and the two measurements y1 and y2. b) If weighted least squares is used to estimate the voltage, what is the variance of voltage estimate after the first measurement
Answers
a) In order to write the weighted least squares voltage estimate in terms of the initial estimate 30 and the two measurements y1 and y2, we know that the variance of the voltage is given as:σ^2 = 1Also, the first measurement of the voltage is taken with a variance of 1 and the second measurement is taken with a variance of 4. Thus, we can write the weighted least squares voltage estimate as follows:
WLSE = \(((1/1) * y1 + (4/1) * y2 + (1/1) * 30) / ((1/1) + (4/1) + (1/1))= (y1 + 4y2 + 30) / 6b)\) If weighted least squares is used to estimate the voltage, the variance of voltage estimate after the first measurement is given as: Var(WLSE) = σ^2 / Σ wi= 1 / ((1/1) + (4/1) + (1/1))= 1 / 6 \(= σ^2 / Σ wi= 1 / ((1/1) + (4/1) + (1/1))= 1 / 6\) Thus, the variance of the voltage estimate after the first measurement is 1/6.More than 100 words: The weighted least squares is a statistical method that is used to find the best fit between a dependent variable and an independent variable.
The method works by minimizing the sum of the squares of the residuals. When estimating a random variable with two independent measurements, the weighted least squares voltage estimate can be used. If a battery's voltage is a random variable with a variance of 1, two independent measurements of the voltage can be taken to estimate the voltage.
The first measurement can have a variance of 1, and the second measurement can have a variance of 4.The weighted least squares voltage estimate can be written in terms of the initial estimate 30 and the two measurements y1 and y2. The variance of the voltage estimate after the first measurement can also be calculated using the formula Var
\((WLSE) = σ^2 / Σ wi, where σ^2\)is the variance of the voltage, and wi are the weights assigned to each measurement. Using the given values, the variance of the voltage estimate after the first measurement is found to be 1/6.
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kellen looks at his watch and it reads 3:40. He takes his dog on a walk and gets home at 4:28. how long did he walk his dog?
Answers
I had the same question I got it right
Answer:
48 minutes
Step-by-step explanation:
Borrow 1 hour from 4 hours as 60 minutes. Then add the 60 minutes to 28 minutes. Now you have 3:88 - 3:40. Subtract 3 - 3 = 0 hours; subtract 88 - 40 = 48 minutes.
4:28 - 3:40 = 3:88 - 3:40 = 0:48
Answer: 48 minutes
Which ordered pair is on the graph of the equation 6 + 3 = 9 ?
a) (0,5)
b) (−2,7)
c) (0, −5)
D)(2,7)
Answers
Answer:
D
Step-by-step explanation:
Let's break this down step-by-step:
1) The equation given is: 6 + 3 = 9
2) This simplifies to: 6 = 9 - 3 => 6 = 6
3) Any ordered pair (x,y) that satisfies this equation must have:
x = 6 (because x = 6)
4) Looking at the options:
a) (0,5) : x does not equal 6, so this is not the solution
b) (−2,7) : x does not equal 6, so this is not the solution
c) (0, −5) : x does not equal 6, so this is not the solution
d) (2,7) : x equals 6, so this is the solution
Therefore, the ordered pair that satisfies the equation 6 + 3 = 9 is (d) (2,7).
The correct choice is d.
find the area of the shaded regions give your answers as a correctly simplified answer value in terms of pie
Answers
well, let's notice, hmmm a circle has 360°, and that one above is shaded but 90°, so that means the shaded area is really 270° of the circle whose radius is 6.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =270 \end{cases}\implies A=\cfrac{(270)\pi (6)^2}{360}\implies A=27\pi\)