You would like to estimate the prevalence of a disease. You randomly sample 10 people from the population of interest and 4 of them have the condition. Using a Beta prior with αα and ββ both being 1010, what is the posterior mean prevalence closest to?
Answers
The required posterior mean prevalence is closest to 0.47.
We can use Bayes' theorem to find the posterior distribution of the prevalence parameter, given the data and the Beta prior:
posterior ∝ likelihood x prior
where the likelihood is given by the binomial distribution:
likelihood = P(observing 4 cases out of 10 | prevalence)
and the prior is a Beta distribution with parameters α = β = 10:
prior = Beta(α=10, β=10)
We can calculate the posterior distribution by multiplying the likelihood and prior, and then normalizing:
posterior = Beta(α=14, β=16)
where the posterior Beta distribution has parameters α=14 (10 + 4) and β=16 (10 + 10 - 4).
The posterior mean of a Beta distribution with parameters α and β is:
posterior mean = α / (α + β)
Plugging in the values of α and β from the posterior distribution, we get:
posterior mean = 14 / (14 + 16) = 0.467
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Related Questions
What is NOT an example of a short term debt?
A monthly electric bill
medical bill due within 90 days
A grocery bil
A nome morgage
Answers
Answer:
C
Step-by-step explanation:
Maybe it's wrong, and maybe it's right.
Just glad I helped!
Hello please, I did not understand this exercise. In the plane referred to an orthonormal reference (o, i, j) place the points A, B, C and D defined by: A(6; 4); B(3; 7); C(12; -2); D(9; 7).
Show that C is the image of A by dilation with center B and ratio 3.
Answers
We have shown that C is the image of A by dilation with center B and ratio 3.
Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:
Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:
AB = A - B = (6 - 3, 4 - 7) = (3, -3)
Multiply the vector AB by the dilation ratio of 3:
3 AB = 3 (3, -3) = (9, -9)
Add the resulting vector to the coordinates of the center B:
BC = B + 3 AB = (3, 7) + (9, -9)
BC = (12, -2)
Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:
BC = (12, -2) = C
Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.
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Type < or > to make this statement true
Answers
Answer:
- \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Step-by-step explanation:
Which number is closer to 0, meaning that number is bigger.
-9/10 = -0.9
-10/10 = -1
We see -0.9 is closer to 0, meaning it is bigger.
So, - \(\frac{9}{10}\) > - \(\frac{10}{10}\)
100 POINTS PLEASEE HELPPP BRAINLIEST
Answers
Answer:
D) a compound
Step-by-step explanation:
Element would mean all the circles (particles) are 1 color (the same)
Heterogeneous means the pattern is a non-uniform substance
While the substance has Particles distributed uniformly, mixtures cannot be represented by chemical formulas. A compound would mean that 2 or more elements bonded. As you can see the 2 different particles (colored circles) are touching each other instead of floating apart.
Solve for x. The radical equation is below.
Answers
Answer:
The answer is the last one
Answer:
\(x = -\frac{3\sqrt3}{2}\)
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Solve for x\(\sqrt{12}(\sqrt3 - x) = 15\)\(\sqrt{36} - x\sqrt{12} = 15\)\(6 - x\sqrt{12} = 15\)\(-x\sqrt{12} = 9\)\(x = -\frac{9}{\sqrt12}\)Rationalize the Denominator:
\(x = -\frac{9}{\sqrt12}*\frac{\sqrt{12}}{\sqrt{12}}\) \(x = -\frac{9\sqrt{12}}{12}\)\(x = -\frac{{9*2\sqrt3}}{12}\)\(x = -\frac{18\sqrt3}{12}\)\(x = -\frac{3\sqrt3}{2}\)The solution for x is \(x = -\frac{3\sqrt3}{2}\).
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
Answers
====================================
\(\large \sf \underline{Problem:}\)
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
====================================
\(\large \sf \underline{Answer:}\)
to reduce the force needed to lift the box and change the direction of the force.
====================================
\(\large \sf \underline{Explanation:}\)
1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."
By this definition, we know that force is needed to lift an object using a lever.
2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"
For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.
3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.
Basically, if we were to put a lever into an equation:
reduced force + change in direction = lever
(the expection) unless load and force are on the same side, there will be no change in direction.
For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.
So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.
*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.
====================================
\(╰┈➤\: \huge\color{pink}{\bold{Answer}}\)
To reduce the force needed to lift the box and change the direction of the force\( \: \: \)
\(╰┈➤\: \huge\color{pink}{\bold{Explanation}}\)
A lever consists of a rigid bar that is able to pivot at one point This point of rotation is known as the fulcrum A force is applied at some point away from the fulcrum (typically called the effort)\(\color{pink}──────────────────────────────\)
\(\mathfrak \red{ - \: Cherrrry \: Red}\)
Please help quick I need it
Answers
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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Determine the length and width of a rectangle if the perimeter is 42 and the length
is six more than twice the width.
Answers
Answer: The width would be 5 and the length would be 16
Step-by-step explanation:
If the length is 5… double that up, and you get 10. Six more than ten is 16… double that and you get 32. And then if you add 32+10 you get your total of 42 for the perimeter.
20points
Which represents the restrictions on the radical inequality
Answers
Answer:
The answer is 2x>0 is the final answer. The last one.
Step-by-step explanation:
It is greater.
There was 1/2. Of a cake left over from Hannah’s birthday party when she and her sister came home from school the next day they ate 2/3 of the left over cake for a snak. How much of the whole cake did the girls eat
Answers
Answer:
1/3
Step-by-step explanation:
This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.
Given the formula: D=m/v
Solve for V.
Answers
Answer:
v=m/d
Step-by-step explanation:
D=m/v
D*v=m
d*v/d=m/d
v=m/d
The required solution for v is v = m/D.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =.
The given equation is,
D = m/v
To solve for v we need to isolate v to one side and other variables to another side.
Therefore multilpying the equation both the side by we get,
Dv = v*m/v
Solving we obtain,
Dv = m
Now divide the equation both side by D we obtain,
Dv/D = m/D
Solving we obtain,
v = m/D
which is the required solution for v.
Thus, the required solution for v is v = m/D.
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What’s the correct answer?????
Correct answer gets brainlest
Answers
Answer:
B. $14
Step-by-step explanation:
starting amount: $8 per hour
8x35 weeks=280
8x0.05=0.4
8+0.4=8.40
8.40x35=294
294-280= 14
OR
8x35 weeks=280
280x0.05= 14
The weights of three samples from an experiment are 1.25050 g, 2.50055 g, and 2.74099 g.
What is a reasonable estimate for the total weight of all three samples?
5.5 g
6.0 g
6.5 g
I don't know.
Answers
Answer:
Ans ; 6.5 g
Step-by-step explanation:
Ans; 1.25050+2.50055+2.74099 = 6.49204 = 6.49 = 6.5 g
The diameter of a quarter is about 1 in.
You trace around the edge of the quarter on a sheet of paper.
What is the area of the circle on the paper?
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answers
Answer: The area is going to be 0.8
Step-by-step explanation: The diameter is 1
You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.
After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14
3.14(0.5)^2= 0.785
you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.
So, the Area is 0.785 but after rounding it is 0.8.
Hope that helped :)
Express 88 kilometers per hour in miles per hour.
mi/hr
(Round to the nearest hundredth as needed.)
Answers
88 kilometers per hour in miles per hour is 54.68 mi/hr
Converting kilometers per hour to miles per hourNote that:
1 km = 0.6214 miles
The measurement to convert is 88 kilometers per hour
Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour
88 kilometers per hour = 88 x 0.6214 miles per hour
88 kilometers per hour = 54.6832 miles per hour
88 kilometers per hour = 54.68 mi/hr
Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr
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Connie can clean her house in 3.5 hours. If Alvaro helps her, together they can clean the house in 1 hour and 40 minutes. How long would it take Alvaro to clean the house by himself?
Answers
Answer:
1 hour and 50 minutes
Step-by-step explanation:
Time Connie takes to clean the house: 210 minutes
Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes
Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.
Answer:Alvaro can clean the house alone in approximately 3.89 hours.
Step-by-step explanation:
If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.
To find how long it would take Alvaro to clean the house alone, we can use the formula:
combined rate of work = sum of individual rates of work
So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.
Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
Answers
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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Every smoothie sold contains 0.5 cups of strawberries. How many smoothies can be sold using 3.25 cups of strawberries?
Answers
Answer:
6 smoothies
Step-by-step explanation:
Answer:
6.5 smoothies can be sold using 3.25 cups of strawberries.
Step-by-step explanation:
3.25/0.5
que significa la h en 0.5
Answers
Answer:
the variable for it
Step-by-step explanation:
Answer:
H es una variable. ¡Marque como más inteligente! <3
y= -x + 1/2+1
- 3x+y=6
Answers
Write the next whole number after 6748nine in the base-nine system.
Answers
Answer:
Step-by-step explanation:
\(6748_9 = 6 *(9^3) + 7 * 9^2 + 4 * 9^1 + 8 * 9 ^ 0 = 4994_{10}\)
Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have
\(6* 9^3 + 7*9^2 + 5*9*1 = 4374 + 576+45 = 4995_{10}\)
Therefore, the number on base 9 will be 6750
The next number on base 9 is 6750.
What is a whole number ?Whole numbers are all the natural numbers and zero.
The number 6748₉ in the ten base system is
6748₉ = 6 * (9³) + 7 *9²+4*(9)¹+8*9⁰ = 4994₁₀
On base 10 system the next number will be 4995
4995 = 4374+576+45 = 6*9³+7*9²+5*9*1
Therefore, the next number on base 9 is 6750.
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The U-Pick-It Farm wants to find out which type of berries their customers
prefer to pick.
Determine which of the following would result in an unbiased sample set.
Customers who are picking blueberries
Customers who have not started picking berries
Customers who are picking raspberries
Customers who are picking strawberries
Answers
Answer:
Customers who have not started picking berries
Step-by-step explanation:
this is becuase the costomers have not started so there is not an assumption yet. If they are picking blueberries, raspberries, or strawberries you already know what they prefer to pick.
help now plss !!!!!!!!
Answers
Answer:
Difference: B: 7
Sum: C: 8
In one town, 47% of all voters are Democrats. If three
voters are randomly selected for a survey, what is the
probability that they are all Democrats?
Answers
Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
Step(i):-
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
Step(ii):-
Let 'X' be the random variable in binomial distribution
\(P(X=r) = n_{C_{r} } p^{r} q^{n-r}\)
The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3
\(P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}\)
\(P(X=3) = 1 (0.47)^{3}\)
P(X=3) = 0.1038
Final answer:-
The probability that the all three votes are Democrats
P(X=3) = 0.1038
A golf ball is selected at random from a golf bag. If the golf bag contains 7 type A balls, 4 type B balls, and 9 type C balls, find the probability that the golf ball is not a type A ball.
what is the probability that the golf ball is not a type A ball?
Answers
Answer:
11/20
Step-by-step explanation:
the probability for all = 7+4+9 = 20
the probability that the golf ball is not a type A ball = the probability of type B + the probability of type C
= 7/20 + 4/20
= 11/20
2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED
Answers
Answer:
The simplified ratio is 19:9.
Step-by-step explanation:
Answer:
19:9
Step-by-step explanation:
First, make it a fraction. 95/45. Then simplify by 5.
Solve for x, and please explain how you got that answer! Thank you :)
Answers
let's recall that in an isosceles triangle, twin sides stemming from a common vertex will yield twin angles.
Check the picture below.
Write an equation of the line that passes
through (4, 1) and has a slope of -2.
Answers
Answer:5
Step-by-step explanation:
Chia knows that she uses two packages of walnuts to make three batches of cookies. She decides to write out the recipe for one batch of cookies. If each package says that it contains 2 1/4 cups of walnuts, how many cups of walnuts are in each recipe?
Answers
Answer:
1 1\8 cup
Step-by-step explanation:
take 2 1\4 divid by 2 = 1 1/4 cup
Answer:
1.5 cupsStep-by-step explanation:
Given
2 packages = 3 batches ⇒ 1 batch = 2/3 packages1 package = 2 1/4 cupsEach recipe is
2/3 packages = 2/3 * 2 1/4 = 2/3 * 9/4 = 3/2 cups = 1.5 cups7+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?
Answers
Answer:
x = 47
Step-by-step explanation:
Given the equation :
7+5(x−3)=227
Expand the equation :
7 + 5x - 15 = 227
5x = 227 + 15 - 7
5x = 235
x = 235 /5
x = 47
Statement is true at x = 47