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Find Jeffreys' prior for parameter o (standard deviation) of the Normal(a, o²) distribution. Find Jeffreys' prior for parameter p (probability of success) of the Binomial (p, n) distribution.

Answers

Answer 1

For the parameter σ (standard deviation) of the Normal(a, σ²) distribution, Jeffreys' prior is proportional to 1/σ.

For the parameter p (probability of success) of the Binomial(p, n) distribution, Jeffreys' prior is proportional to 1/√(p(1-p)).

Jeffreys' prior is a non-informative prior that aims to be invariant under reparameterization.

It is based on the Fisher information, which measures the amount of information that data carries about the parameter. Jeffreys' prior is proportional to the square root of the determinant of the Fisher information matrix, and it is considered to be objective in the sense that it does not introduce any subjective bias into the analysis.

To derive Jeffreys' prior for the standard deviation σ of the Normal distribution, we calculate the Fisher information for σ and take the square root of its reciprocal.

Similarly, for the probability of success p in the Binomial distribution, we calculate the Fisher information and take the reciprocal square root. These calculations result in the respective expressions for Jeffreys' prior for each parameter.

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Related Questions

Forty yards of fabric are used to make 9 school banners. How many yards of fabric does each banner use? Write the answer as an improper fraction and mixed number.

Answers

Answer: 4 4/9 yards

Step-by-step explanation:

Since we are given the information that forty yards of fabric are used to make 9 school banners.

The number of yards of fabric that each banner use will be the total yards of fabric which is 40 yards divided by 9. This will be:

= 40/9

= 4 4/9 yards

Each banner will use 4 4/9 yards

Please help.................................................................................................

Please help.................................................................................................

Answers

Answer:

Step-by-step explanation:

L = 3*w + 1                      Given

P = 2*(L + w)                   Formula for Perimeter. Substitute for L    

P = 2*(3w + 1 + w)           Combine

P = 2*(4w + 1)                  

P = 58                             Given

58 = 8w + 2                    Remove the brackets

58 - 2 = 8w                     Subtract 2

56 = 8*w                         Divide by 8

56/8 = w

7 = w

================

Find L

L = 3*w + 1

L = 3*7 + 1

L = 22

================

Check

2L + 2W  = 58

2*22 + 2*7 =? 58

44 + 14 = ? 58

58 = 58

The answer checks.

ASAP ASAP ASAP ASAP... pls pls pls

ASAP ASAP ASAP ASAP... pls pls pls

Answers

3.7%

hey im just guessing

Answer:

B. 37%

Step-by-step explanation:

There are 37 students out of 100 that prefer pineapples to peaches and a percent is out of a hundred so therefore 37% is correct

Express 1.32 bar on 32 + 0.35 bar on 35

Answers

1.32 (bar on 32) + 0.35 (bar on 35) is equal to 166/99 in the simplest form.

To express 1.32 (bar on 32) + 0.35 (bar on 35) in fractional form, we can use the following steps:

Step 1: Let x = 1.32 (bar on 32)

So, x = 1.323232... (since the bar notation indicates that the digits after the bar repeat infinitely).

This means that 100x = 132.323232...

Step 2: Subtract x from 100x to eliminate the repeating decimal:

100x - x = 132.323232... - 1.323232...

99x = 131

x = 131/99

Step 3: Let y = 0.35 (bar on 35)

So, y = 0.353535...(since the bar notation indicates that the digits after the bar repeat infinitely).

This means that 10y = 3.5

Step 4: Subtract y from 100y to eliminate the repeating decimal:

100y = 35.353535...

100y - y = 35.3535... - 0.3535..

99y = 35

y = 35/99

Step 5: Add x and y to get the sum in the fractional form:

1.32 + 0.35 = (131/99) + (35/99)

Step 6: Simplify the sum by finding a common denominator and adding the numerators:

1.32 + 0.35 = (131/99) + (35/99)

1.32 + 0.35 = 166/99

Therefore, 1.32 (bar on 32) + 0.35 (bar on 35) is equal to 166/99 in the simplest form.

The question was Incomplete, Find the full content below :


Express 1.32 (bar on 32) + 0.35 (bar on 35) as a fraction in the simplest form

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Sally and anne went to the movies. they each purchased a drink. they also bought one popcorn and one veggie cup to share. each woman’ total is modeled with this expression: 9 1.34 1 2 (3.50 1.74) how would you simplify the expression? explain your steps.

Answers

Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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Simplify: 5(-8 + 6x) - 9(-5 - 8x)​

Answers

Answer:

5 + 102x

Step-by-step explanation:

  5(-8+6x) - 9(-5-8x)

= -40 + 30x + 45 + 72x

= 5 + 102x

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One week the height of a plant increased from 30 cm to 35 cm.
Work out the percentage increase.

Answers

Plant height increased after 1 week: 35 cm - 30 cm = 5cm

Percentage increase: (5 : 30) x 100% = 16.66%

the sweet drip beverage co sells cans of soda popo in machnes it finds that sales average 26,000 cans per month when the can sell for 50 cents each for each nickel increase in the price the sales per mont drop by 1000 cans

Answers

The Sweet Drip Beverage Co sells cans of soda popo in machines, and the company has observed that when the price per can is 50 cents, the average monthly sales are 26,000 cans. For each nickel (5 cents) increase in price, the company experiences a decrease of 1,000 cans in monthly sales.

This information suggests an inverse relationship between the price of the cans and the number of cans sold per month. For every nickel increase in price, the company experiences a decrease in sales of 1,000 cans. This implies that customers are sensitive to price changes, with higher prices leading to lower demand for the product. The relationship can be described by a linear equation, where the number of cans sold per month is a function of the price. The specific equation can be determined by using the given data points and applying linear regression techniques.

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Solve the equation for x. x^2 = 900

Answers

Answer:

x = 30, -30

Step-by-step explanation:

square root both sides to get the answer x=30

complete the rule for the transformation shown in the table below. Grab the original figure and transformed figure on the coordinate plane. Describe the transformations applied in words

complete the rule for the transformation shown in the table below. Grab the original figure and transformed

Answers

Notice that:

\(\begin{gathered} (5,-3)=(1+4,-1*3), \\ (6,0)=(2+4,-1*0), \\ (8,-1)=(4+4,-1*1). \end{gathered}\)

Therefore the rule for the given transformation is:

\((x,y)\to(x+4,-y).\)

The graph of the original points is:

The graph of the transformed points is:

Notice that the points are reflected over de x-axis and then translated 4 units to the right.

Answer:

\((x,y)\to(x+4,-y).\)

The points are reflected over de x-axis and then translated 4 units to the right.

complete the rule for the transformation shown in the table below. Grab the original figure and transformed
complete the rule for the transformation shown in the table below. Grab the original figure and transformed
complete the rule for the transformation shown in the table below. Grab the original figure and transformed

What is the value of
* f(-1) when f(x) = 2x + 2?

Answers

The answer is 0.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment

What is the value of* f(-1) when f(x) = 2x + 2?

If the temperature is 77 F what is it in Celsius

Answers

Answer:

25 degrees celcius

Step-by-step explanation:

The graph of f(x) is shown below of g(x) and f(x) are inverse functions, which graph represents g(x)

The graph of f(x) is shown below of g(x) and f(x) are inverse functions, which graph represents g(x)

Answers

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

(2 points) the lynx population on a small island is observed to be given by the function P(t) = 121t - 0.4t^4 + 1000. where t is the time (in months) since observations of the island began. The number of lyn x on the island when first observed is___lynx.

Answers

The initial population of lynx on the island is 1000 lynx.

To find the initial population of lynx on the island, we need to look at the equation for P(t) when t = 0.

This is because t represents the time since observations of the island began, so when t = 0, this is the starting point of the observations.

Therefore, we can substitute t = 0 into the equation for P(t):
P(0) = 121(0) - 0.4(0)⁴ + 1000
P(0) = 0 - 0 + 1000
P(0) = 1000

So the initial population of lynx on the island is 1000 lynx.

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Mia has $30 in a savings account that earns 5% annually. The interest is not compounded. How much will she have in 1 year?

Answers

Answer:

He would have $31.5 after one year. If you multiply 30 by 1.05 (which represents 5% interest) you get 31.5

Step-by-step explanation:

PLEASE HELP GIVING POINTS!!!!!

PLEASE HELP GIVING POINTS!!!!!
PLEASE HELP GIVING POINTS!!!!!

Answers

Answer:

its c

Step-by-step explanation:

Assume the price of snacks is $4, the price of meals is $10, and the consumer has $240 remaining on their meal card. Which consumption bundle will NOT be the consumer's choice given our assumptions about consumers choosing the optimal consumption bundle?
A) 5 Snacks, 20 Meals
B) 30 Snacks, 12 Meals
C) 20 Snacks, 16 Meals
D) None of the bundles will be chosen.
E) There is not enough information to tell

Answers

The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.

Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.

For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.

For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.

For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.

Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.

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A six-foot man casts a 15 foot shadow. At the same time a streetlight casts an 80-foot shadow.

The same six-foot tall man wants to indirectly measure the streetlight in screen 3. But it is a cloudy day and there are no shadows. So holding his phone by his eye, he uses the "level" feature on the Measure app to sight the top of the streetlight. Standing 20 feet away he finds an angle of elevation of 52.5 degrees.

Write and solve an equation to determine the height of the streetlight.

Answers

The man is standing about 40.44 feet away from the base of the streetlight and  height of the streetlight is 32 ft

We can use the fact that the man's height and shadow length are proportional to the streetlight's height and shadow length.

Let the streetlight's height be "h".

(6 ft) / (15 ft) = h / (80 ft)

Simplifying this proportion, we get:

h = (6/15) × 80

h = 32 ft

Now we have found the height of the streetlight.

We can use trigonometry to find the distance from the man to the base of the streetlight.

Let's call this distance "d".

We know the angle of elevation is 52.5 degrees, and we can use the tangent function:

tan(52.5) = h / d

Solving for d, we get:

d = h / tan(52.5)

d = 32 / tan(52.5)

d ≈ 40.44 ft

Therefore, the man is standing about 40.44 feet away from the base of the streetlight.

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which are the following statements is 6×7 = 42

which are the following statements is 67 = 42

Answers

Answer:

A and B are both correct

Step-by-step explanation:

the definitions of the following words are:

factor- a number or quantity that when multiplied with another produces a given number or expression.

multiple- a number that can be divided by another number without a remainder.

6 multiplied with 7 equals 42

42 divided by 7 equals 6

another way of phrasing it:

7 and 6 are factors of 42

and

42 is a multiple of both 7 and 6

hope this helped!

Answer:

42 is a multiple of 7.

6 is a factor of 42

Step-by-step explanation:

Show that if m

(A)=0, then m

(AUB)=m

(B)

Answers

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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PLEASE HELP MEEEE ill mark brilliance!!!!

PLEASE HELP MEEEE ill mark brilliance!!!!

Answers

Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

please answer soon! and make sure to explain the steps!!

please answer soon! and make sure to explain the steps!!

Answers

Answer:

15

Step-by-step explanation:

140x(3/4)=105 went to sport club

105x(1/7)=15 went to sport club and art club

heh can someone help with this?

heh can someone help with this?

Answers

Answer:

You can figure out the area of the rectangle and aproximate

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

I think it is 360 because if you split it into two part and you plot the top and motte number you get 8 for the top and 10 for the bottom so 18 times ten is 180 and 180 times 2 is 360

Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = (t, 9 – t, 2t) r(-9) (x, y, z) = ___r(0) (x, y, z) = ___r(9) (x, y, z) = ___

Answers

To sketch the curve with the given vector equation r(t) = (t, 9 - t, 2t), we need to find the points r(-9), r(0), and r(9).

1. For r(-9), substitute t = -9 in the vector equation:
r(-9) = (-9, 9 - (-9), 2(-9))
r(-9) = (-9, 18, -18)

2. For r(0), substitute t = 0 in the vector equation:
r(0) = (0, 9 - 0, 2(0))
r(0) = (0, 9, 0)

3. For r(9), substitute t = 9 in the vector equation:
r(9) = (9, 9 - 9, 2(9))
r(9) = (9, 0, 18)

So the points are:
r(-9) (x, y, z) = (-9, 18, -18)
r(0) (x, y, z) = (0, 9, 0)
r(9) (x, y, z) = (9, 0, 18)

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Athlete endorsers are often viewed as role models and expected to portray positive character traits while maintaining high moral standards, though in recent years, some athletes have rebelled against this notion. However, in some cases, teams, organizations, and brands will be willing to overlook moral or ethical blunders and character issues if a player is popular with the target audience. What is your opinion about the moral, ethical, and character standards in place for athlete endorsers? Drawing on the tenets of a Christian worldview (CWV) perspective, what would you do if you were asked to sign an athlete endorser with questionable character or moral and ethical values that were in conflict with your own?

Answers

In such a situation, I would choose not to endorse the athlete.

From a Christian worldview perspective, moral, ethical, and character standards hold significant importance. Athlete endorsers, as role models, should strive to uphold positive character traits and high moral standards. However, it is evident that in recent years, some athletes have challenged this notion.

When faced with the decision to sign an athlete endorser with questionable character or conflicting moral and ethical values, it is crucial to prioritize one's own values and beliefs. As a Christian, I would consider the impact of endorsing such an athlete on my personal integrity, as well as the message it sends to others.

It is essential to remain true to one's own moral compass and avoid promoting behavior that goes against Christian values. By doing so, I would be staying consistent with my beliefs and upholding the standards I hold dear.

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a survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. there were 100 randomly selected individuals in each sample. find the 95% confidence interval for the difference of the two proportions.

Answers

The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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Complete the square for the following equations:
1)6x^2+3x+9
2)x^2+5x+26
3)-x^2+6x+9

Answers

The complete square of the given numbers are-

Part a: 6(x + 1/4)^2 + 69/8

Part b: (x + 5/2)^2 + 27/2

Part c: -(x + 3)^2 + 18

What is meant by completing the square?A quadratic equation is represented as a mixture of quadrilaterals was using to form a square by the method of completing the square.The idea behind this method is to find a special value that, when added both to sides of a quadratic, produces a perfect square trinomial.

For the given question

Part a: 6x^2+3x+9

Tale 6 commom;

6(x^2 + x/2 + 3/2)

Add and subtract 1/16 to the equation;

6(x^2 + x/2 + 1/16 - 1/16 + 3/2)

6((x^2 + x/2 + 1/16) - 1/16 + 3/2)

6((x + 1/4)^2 + 23/16)

6(x + 1/4)^2 + 69/8

Part b: x^2+5x+26

Add and subtract 25/4 to the equation;

x^2 + 5x + 25/4 - 25/4 + 26

(x^2 + 5x + 25/4) - 25/4 + 26

(x + 5/2)^2 + 27/2

Part c: -x^2+6x+9

Taking - 1 common.

-(x^2 - 6x - 9)

Add and subtract 9 in the equation;

-(x^2 - 6x + 9 ) - 9  - 9)

-((x^2 - 6x + 9 ) - 9  - 9)

-((x + 3)^2 -18)

-(x + 3)^2 + 18

Thus, the complete square of the umber are found.

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Answer: 123

Step-by-step explanation:

what you mean bae

Inequalities
3x-(2½-x)>0
3(4-y)>6-y
Please this is my 2 of my 10 assignment,please help me with it i would do the rest my self​

Answers

Answer:

x=5,y=2

Step-by-step explanation:

THis are the answer's because in the inequalities u solve them and them u get your answer

True or False: For a given mass of rising air, the dry adiabatic rate will always be higher than the wet adiabatic rate.

Answers

Answer:

true

Step-by-step explanation:

because there's less humidity

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP

Answers

A is the answer

Explanation:
It is the only one function that has (x+4) as a factor and -3 as one of the zeros

Hope I helped. Best luck with your studying
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