consider the crop network below, with random variables e: environmental potential, g: genetic potential, v: vegetative organs, n: number of seeds, w: seeds mean weight, and c: crop. express the joint distribution p(e,g,v,n,w,c) as a product of conditional probabilities using the definition of bayesian networks.
Answers
To express the joint distribution p(e,g,v,n,w,c) as a product of conditional probabilities using the definition of Bayesian networks, we need to first construct the network. The network should have nodes for each of the random variables e, g, v, n, w, and c, with directed edges connecting them based on their conditional dependencies.
We can start by noting that the environmental potential e and genetic potential g both influence the vegetative organs v, which in turn affect the number of seeds n and the mean weight of seeds w. The crop c is then determined by all of these factors.
Based on this structure, we can write the joint distribution as a product of conditional probabilities:
p(e, g, v, n, w, c) = p(c | e, g, v, n, w) * p(w | e, g, v, n) * p(n | e, g, v) * p(v | e, g) * p(g | e) * p(e)
Each of these conditional probabilities can be expressed in terms of conditional probabilities involving fewer variables. For example:
p(c | e, g, v, n, w) = p(c | n, w) (the crop depends only on the number of seeds and mean weight)
p(w | e, g, v, n) = p(w | n, v) (the mean weight depends only on the number of seeds and vegetative organs)
p(n | e, g, v) = p(n | v) (the number of seeds depends only on the vegetative organs)
p(v | e, g) = p(v | e) (the vegetative organs depend only on the environmental potential)
p(g | e) = p(g) (the genetic potential is independent of the environmental potential)
p(e) = p(e) (the environmental potential has no parents)
By substituting these conditional probabilities into the joint distribution expression and simplifying, we get:
p(e, g, v, n, w, c) = p(c | n, w) * p(w | n, v) * p(n | v) * p(v | e) * p(g) * p(e)
This expression gives us a compact way of representing the joint distribution of the crop network in terms of its conditional dependencies.
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Related Questions
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answers
Answer:
13
Step-by-step explanation:
I want to know if my answer to these questions were right
Answers
From the triangle given,
a) To find cosθ,
\(\cos \theta=\frac{Adj}{Hyp}=\frac{a}{b}\)b) To find tanτ,
\(\tan \tau=\frac{Opp}{Adj}=\frac{a}{x+y}\)c) To find tan (θ+φ),
\(\tan (\theta+\Phi)=\frac{Opp}{Adj}=\frac{x+y}{a}\)d) To find sin μ,
\(\sin \mu=\frac{Opp}{Hyp}=\frac{a}{b}\)e) To find csc τ,
\(\csc \tau=\frac{1}{\sin \tau}=\frac{1}{\frac{a}{c}}=\frac{c}{a}\)f) To find sec (θ+φ),
\(\sec (\theta+\Phi)=\frac{1}{\cos (\theta+\Phi)}=\frac{1}{\frac{a}{c}}=\frac{c}{a}\)Answers given above.
66 * 648
Helpppp me and fastttttt
Answers
Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answers
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
Determine whether or not the function is one-to-one, and if it is, determine its inverse function
Answers
Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.
What is a horizontal line test?It is simple to establish whether the inverse of a function is also a function using the horizontal line test.
Because it fails the vertical line test, a function's inverse might not actually be a function.
Graph of the line
f\left( x \right) = - x + 2
f(x)=−x+2.
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Find the solution for x if |7x + 5|= 19. Where | | denotes the absolute value
Answers
We have the following expression:
\(|7x+5|=19\)where the bars | | denote the absolute value.
This absolute value equation implies that we have 2 cases:
\(\begin{gathered} \text{case A) 7x+5=19} \\ \text{case B) 7x+5=-19} \end{gathered}\)Case A)
In this case, if we move +5 to the right hand side, we get
\(\begin{gathered} 7x=19-5 \\ 7x=14 \end{gathered}\)Now, if the move the coefficient of x to the right hand side, we have
\(\begin{gathered} x=\frac{14}{7} \\ x=2 \end{gathered}\)that is, the solution for this case is x=2
Case B).
In this case, if we move +5 to the right hand side, we obtain
\(\begin{gathered} 7x=-19-5 \\ 7x=-24 \end{gathered}\)Finally, f the move the coefficient of x to the right hand side, we get
\(\begin{gathered} x=-\frac{24}{7} \\ \end{gathered}\)that is, the solution for this case is x=-24/7
Therefore, the solution for the problem is
\(x=2\text{ and x=-}\frac{24}{7}\)the titration curve for a spectrometric titration: a (analyte) b (titrant) = c d both a (100 ml of 0.001 m) and b (0.001 m) display a similar color at 520 nm (EA =100, EB, = 200 M-1 cm-1, b = 1.0 cm) and both C and D are colorless. Measure the absorbance at 520 nm at different %T. Sketch the titration curve and label 0%T, 50%T, 100%T, and 200%T. At end point, you have:- a) Volume of B added is 50 mL, and the absorbance measured is 0.24 b) Volume of B added is 100 mL, and the absorbance measured is 0.4 4 c) Volume of B added is 100 mL, and the absorbance measured is 04 d) Volume of B added is 100 mL, and the absorbance measured is 0.24 ? ? ? Į 소
Answers
The titration curve for a spectrometric titration of A(analyte) by adding B (titrant), the volume of B at end point is 100 ml and absobance at this point is equals to zero. So, option(c) is right one.
We have a spectrometric titration with A (analyte) B (titrant) = C + D ( products)
where A (100 ml of 0.001 m) and B (0.001 m) display a similar color at 520 nm both C and D are colorless.In the spectrophotometric titration of the colored substrat and colored titrant to produce colorless products, the absorbance is maximum intially because both the analyte and the titrant are colored. The absorbance of the solution decreases with the addition if the titrant due to the formation of the colorless products. The abosrbance becomes zero at the end point where the reaction undergoes completion and all substrate is converted into products. Then, the absorbance of the solution again increases due to the addition of the colored titrant solution. The titration curve is present in attached figure. At end point volume of B can be determined by following equation, \(M_A V_A = M_B V_B \)
where M --> represents molarity
V --> volume
here \( M_A =0.001 M , M_B = 0.001 M\) and \(V_A = 100 ml \).
So, \(0.001 (100) = (0.001 ) V_B\)
=> \(V_B = 100 ml\)
As the products C and D are colourless, so at that point absorbance is equals to the zero. Hence, Volume 100 ml, of B is added and absorbance is zero.
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please help me answer this question asap
Answers
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
WILL GIVE BRAINLIEST
Answers
Answer:
Answer:
4 m
Step-by-step explanation:
I took the test
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The volume of a cone (V) is calculated as
V = \(\frac{1}{3}\) πr²h ( r is the radius and h the height )
Here V = 151 and r = diameter ÷ 2 = 12 ÷ 2 = 6 , then
\(\frac{1}{3}\) πr²h = 151 ( multiply both sides by 3 to clear the fraction )
πr²h = 453 , that is
3.14 × 6² × h = 453
3.14 × 36h = 453
113.04h = 453 ( divide both sides by 113.04 )
h ≈ 4 m ( to the nearest metre ) → B
50 points! Which expression is equivalent to
Answers
We have,
= -6(3x - 2/3)
= -6(3x × 3 - 2)/3
= -6(9x - 2)/3
= -2(9x - 2)
= (-18x + 4)
Your answer will be option number 4.
Answer:
- 18x + 4
Step-by-step explanation:
\(-6(3x-\frac{2}{3})\)
- 18x + 4
Please help me please
Yesterday, two friends went into a bank to open savings accounts. Ted started by putting $300 in his account, and he will deposit an additional $4 each week. Carly made no initial deposit, but she will add $16 more each week. In a few weeks, the friends will have the same account balance. How many weeks will that take?
Answers
To solve this problem, we can use algebraic equations. Let's say that the number of weeks it takes for Ted and Carly to have the same account balance is "w".
Ted's account balance after "w" weeks can be represented by:
300 + 4w
Carly's account balance after "w" weeks can be represented by:
16w
We want to find out when their account balances will be equal, so we can set these two equations equal to each other:
300 + 4w = 16w
Simplifying this equation, we get:
300 = 12w
Dividing both sides by 12, we get:
25 = w
Therefore, it will take 25 weeks for Ted and Carly to have the same account balance.
Anna and Matt each opened a savings account with a deposit of $100.
Anna earned 4.5% simple interest per year.
Matt earned 3% simple interest per year.
Neither of them made additional deposits or withdrawals.
How much more did Anna receive in interest than Matt after 3 years?
Answers
\(~~~~~~ \stackrel{\textit{\Large Anna}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.045)(3)]\implies A=100(1.135)\implies A=113.5 \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \stackrel{\textit{\Large Matt}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.03)(3)]\implies A=100(1.09)\implies A=109 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Anna}{113.5} - \stackrel{Matt}{109}\implies 4.5\)
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=33°, and KL = 25 feet. Find the length of LJ to the nearest tenth of a foot.
Answers
Answer:
38.5
Step-by-step explanation:
Find the length of D.
Answers
Answer:
root 50
Step-by-step explanation:
Pythagorean theorem d is the hypotenuse
Answer:
5/2
Step-by-step explanation:
/50 if you do a2+b2=c2 and c=d
Select the answer with the correct number of decimal places for the following sum.
13.914 cm + 243.1 cm + 12.00460 cm = _____
a. 269.01860 cm
b. 269.02 cm
c. 269.0186 cm
d. 269.0 cm
e. 269.019 cm
Answers
Answer:
269.01860??
But i can tell u 13.914 cm + 243.1 cm + 12.00460 cm = 260.01860 not 269.01860
Step-by-step explanation:
Kenisha is about to call a Bingo number in a classroom game from 1-
75.
1. Describe an event that is likely to happen, but not certain, for the
number she calls.
2. Describe an event that is unlikely to happen, but not impossible, for
the number she calls.
3. Describe an event that is certain to happen for the number she calls.
PLEASE HELP WILL VOTE BRANLIEST ONLY IF ANSWER IS CORRECT 10 POINTS !!!!!!!!!
Answers
1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.
2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.
3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
The solution is given below.
1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.
2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.
3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.
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The x is the same number in all of them but what is it!!
Answers
Step-by-step explanation: basically its 6 + 1 = 7x
6 - 14 = 8x 9 + 4 = 13x
Answer: x = 9
Explanation: In this problem, we're given a triangle and information
about each of its angles and we're asked to find the value of x.
The measures of the angle of a triangle always add to 180 degrees.
So we can setup the equation 6x + 1 + 9x + 4 + 6x - 14 = 180.
Simplifying on the left side, we have 21x - 9 = 180.
Adding 9 to both sides, we have 21x = 189.
Now divide both sides by 21 to get x = 9.
What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.
Answers
Answer:
Hope it helps:) 18j+10
Step-by-step explanation:
(2)(3j+5+6j)
(2)(3j)+(2)(5)+(2)(6j)
6j+10+12j
18j+10
Please help, having trouble with this
Answers
-9x. -9x
3x+6=-15 (subtract 6 to both sides)
-6. -6
3x=-21 (divide 3)
x=-9
Answer:
it’s -7
Step-by-step explanation:
because when you subtract the 6 from both sides you get 12x=9x-21 then subtract the 9x from both sides to get 3x=-21 then divide both sides by 3 to get x=-7.
A container of fuel dispenses fuel at the rate of 5 gallons per second. If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship. Complete the statement about the slope of the line representing that relationship in the coordinate plane.
The slope will be , 1 of 2.
Select Choice
because the amount of fuel in the tank is , 2 of 2.
Select Choice
.
Answers
The slope of the line representing that relationship in the coordinate plane is -5.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
A container of fuel dispenses fuel at the rate of 5 gallons per second.
If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship.
The linear equation is,
y = -5x.
And the slope is -5.
Therefore, the slope is -5.
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How do I do this?
x y
0 -6
1 -3
2 0
3 3
Equation:
M=
B=
Answers
The equation of the given line is y = 3x - 6.
What is the Equation of line in Slope Intercept form?Equation of a line in slope intercept form is,
y = Mx + B,
where M is the slope of the line and B is the y intercept, which is the y coordinate of the point where it touches the Y axis.
Given a set of points.
Slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is,
Slope = (y₂ - y₁) / (x₂ - x₁)
Consider any two points on the line, let it be (0, -6) and (1, -3).
Slope, M = (-3 - -6) / (1 - 0) = 3/1 = 3
We already have the point (0, -6), where the line touches the Y axis.
y intercept, B = -6
Equation is y = 3x - 6
Hence y = 3x - 6 is the equation of the required line.
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What is the value of x?
Answers
Answer:
x=17
Step-by-step explanation:
we know the sum of angles in atriangle is 180°
x +17 + 4x -34 +6x +10 = 180
x+4x+6x +17 -34 +10 = 180
11x -7 =180
11x = 180 +7
x = 187/11 = 17
the fruit at the top of an apricot tree looks like its ready to be picked. The tree is 28.92 feet tall and you are using a ldder that is 28 feet long. You are able to reach with your arm three feet up from the top of the ladder. what is the smallest angle the ladder would have to be at in order for you to reach the fruit at the top of the tree?
Answers
The smallest angle the ladder would have to be at is approximately 14.9 degrees, allowing you to reach the fruit.
To determine the smallest angle the ladder would have to be at in order to reach the fruit at the top of the tree, we can use trigonometry. Let's break down the solution step by step:
The height of the tree is given as 28.92 feet, and the length of the ladder is 28 feet.
By subtracting the length of the ladder from the height of the tree, we find that there is a gap of 0.92 feet between the top of the ladder and the fruit.
To reach the fruit, you can extend your arm three feet up from the top of the ladder, making the effective reach 3.92 feet.
Using trigonometric ratios, we can determine the angle between the ladder and the ground. The tangent of the angle is equal to the height of the tree divided by the effective reach.
Calculating the numerical value, we find that the angle is approximately 14.9 degrees.
Therefore, the ladder would need to be at an angle of approximately 14.9 degrees to allow you to reach the fruit at the top of the tree.
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Find the slope of the line passing through the points (-6, -5) and (4,4).
Answers
Answer:
9/10 or 0.9
Step-by-step explanation:
Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run
where
rise = y2 - y1
run = x2 - x1
Given points (- 6, - 5) and (4, 4),
rise = 4 - (-5) = 4 + 5 = 9
run = 4 - ( - 6) = 4 + 6 = 10
Slope = rise/run = 9/10 or 0.9
Abdul drive at a peed of 60
mile per hour. He ha covered 180
mile o far. Which equation how how to calculate the number of hour Abdul took to cover thi ditance?
Answers
Answer:
3 hours
Step-by-step explanation:
Given,
Distance = 180 miles
Speed = 60 miles per hour
Distance/Speed = Time
Thus, Time taken is 180/60
Which is 3 hours
f(x) = 3x²5x + 20
Find f(-8)
Answers
Answer:
f(-8)= -7660
Step-by-step explanation:
f(-8)= 3(-8)^2·5(-8)+20
if x+3=9 whats the answer:)
enjoy
Answers
Answer:
x=6
Step-by-step explanation:
then x=6 because replacing x 6+3=9
A rectangle has an area of 36x⁵ + 9x⁴. The width of the rectangle is equal to the greatest common factor of 36x⁵ and 9x⁴. What is the length and width of the rectangle?
Answers
4x+1=length
9x^4 = width
Order the tiles to match the scenario of the graph of the
hot air balloon.
Height
Rises
Rises
Loses
Floats
slowly
quickly
altitude
steadily
Time
Answers
Answer:rises slowly floats steadily loses altitude rises auickly
Step-by-step explanation:
I did the question it's not that hard
Answer:
Rise slowly
Floats steadily
Loses altitude
Rises quickly
Step-by-step explanation:
I hope I helped
Suppose you are interested in using regression analysis to estimate house price using the following independent variables: length of the driveway, number of previous owners, median house price in the surrounding area, the house is furnished, square footage of the house, and crime rate in the surrounding area. Which of the following independent variables are indicator (dummy) variables? Select all that apply.
A) Length of the driveway
b) number of previous owners
c)median house price in the surrounding area
d)the house furnished
e)square footage of the house
f)crime rate in the surrounding area
g)none of these
Answers
The house is furnished is an indicator (dummy) variable. So, the correct option is (D)
Indicator (dummy) variables are used to represent categorical data as binary data in regression analysis. In this case, the house being furnished is a categorical variable that can be represented as a binary variable (1 or 0). The other variables are continuous or ordinal variables and do not need to be represented as indicator variables.
If the p-value is less than the chosen significance level (alpha), typically 0.05, then the independent variable is considered statistically significant in the model. Therefore, in this case, we need to examine the p-values associated with the coefficients for Age, Living Area, and Bedrooms in the regression output to determine which group of independent variables is significant.
If the p-value for any independent variable is less than 0.05, then that variable is considered significant in the model
Without the regression output, it is not possible to determine which group of independent variables is significant in the model. Please provide the Excel output for further analysis
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