The minimal number of parameters for a multinomial model with the English alphabet as the vocabulary is 26.
In a multinomial model, we assume that the occurrence of each letter in a document follows a multinomial distribution. Since we have 26 letters in the English alphabet, there are 26 possible outcomes for each trial.
Therefore, we need 26 parameters to describe the probability of each outcome. Specifically, we need to estimate the probability of each letter appearing in a document, which gives us a probability vector of length 26.
This probability vector contains 26 parameters. Hence, the minimal number of parameters for this multinomial model is 26.
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Can you help me with a question can you show how my teacher got those answer
7 is what percent of 90
Let us put it as an equation
7 = x% * 90
Is means = and of means times
You must change x% to normal value by divide x by 100
\(7=\frac{x}{100}\times90\)Now we will solve the equation
Multiply both sides by 100 to cancel the denominator in the right side
\(7\times100=\text{ x}\times90\)\(700\text{ = 90 x}\)To find x divide both sides by 90
\(\frac{700}{90}=x\)x = 7.8
7 is 7.8% of 90
Can somebody help me please ASAP first person to answer gets brainliest
Answer:
Yes, d = 7, 32, 39, 46
Step-by-step explanation:
You can see each time it goes up by 7, meaning it is arithmetic.
The sequence would be: 4, 11, 18, 25, 32, 39, 46
ADAM!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Ima just answer this to getpoints
40 points
hey whats the answer
pls show step explanation
Answer:.
Answer:1.we have dividend =divisor*quotient+remainder=
(x²+2x-1)(x²-2x+1)+(-4x+1)
=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1
=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1
=x⁴-4x²
Dividend is x⁴-4x².
2.
Multiplier is a-a²+1.
Answer:
\(i \: hope \: the \: above \: picture \\ helps\)
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In a class of 40 students, 19 play tennis, 20 play netball and 8 play both of these sports. A student is randomly chosen from the class. Determine the probability that the student plays tennis.
Answer:
19/40 OR 0.475 OR 47.5%
Step-by-step explanation:
The probability of an event is calculated by dividing the total number of 'favorable outcomes' by the number of total outcomes. Here, the number of 'favorable outcomes' is the number of students who play tennis, so 19. The total number of outcomes is 40 as there are 40 students. Therefore the probability a student plays tennis is 19/40, or 0.475 or 47.5%.
Hope this helped!
an event that increases the probability that a response will be repeated is called _____.
The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.
Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.
Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.
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An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet
Anaswer Let the height of the tree be
y
ft. By condition;
tan
38
=
y
43
or
y
=
43
tan
38
or
y
=
33.6
ft [Ans]
Step-by-step explanation:
Answer:
Step-by-step explanation:
The CORRECT answer is
C. 32.8 feet Got it correct
The quadratic equation h=-16t^2+32t+2
represents the height, h (in feet), of a ball kicked after t seconds. Answer each question. Express each answer as a decimal rounded to the nearest hundredth.
How long will it take the ball to reach 18 feet?
When will the object be at 10 feet?
When will the ball hit the ground?
By solving the quadratic equations,
It will take the ball 1 second to reach 18 feet
It will take the ball 1.71 seconds to be at 10 feet
It will take the ball 2.06 seconds to hit the ground
Solving quadratic equations: Determining how long it would take the ball to reach a heightFrom the question, we are to determine how long it would take the ball to reach 18 feet
To determine how long it would take the ball to reach 18 feet, we will set h = 18 in the equation
The given equation is
h = -16t² + 32t + 2
Put h = 18
18 = -16t² + 32t + 2
Rearrange
16t² - 32t - 2 + 18 = 0
16t² - 32t + 16 = 0
16t² - 16t - 16t + 16 = 0
16t(t - 1) -16(t - 1) = 0
(16t - 16)(t - 1) = 0
16t - 16 = 0 OR t - 1 = 0
16t = 16 OR t = 1
t = 16/16 OR t = 1
t = 1 OR t = 1
Hence,
t = 1 second
Hence, it will take the ball 1 second to reach 18 feet
To determine how long it will take the ball to reach 10 feet, we will set h = 10
h = -16t² + 32t + 2
Put h = 10
10 = -16t² + 32t + 2
Rearrange
16t² - 32t - 2 + 10 = 0
16t² - 32t + 8 = 0
Using the quadratic formula,
t = 0.29 second OR t = 1.71 seconds
The ball will hit the ground when h = 0
Set h = 0 in the equation
h = -16t² + 32t + 2
0 = -16t² + 32t + 2
16t² - 32t - 2 = 0
Using the quadratic formula,
t = -0.06 OR t = 2.06
Since t cannot be negative,
t = 2.06 seconds
Hence, it will take 2.06 seconds for the ball to hit the ground
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Sam is writing a report on cell phone usage. he collects data from a random sample of eight graders in his school, and finds that 18 out of 20 eight graders have cell phones. if there are 310 eight graders in his school,estimate the number of eighth graders who have cell phones.
For each of the following data sets, decide which has the higher standard deviation (set 1 or set 2), if any, without doing any computation. Explain the rationale behind your choice. Then, verify your choice by computing the standard deviation by hand.
It is not possible to determine which data set has a higher standard deviation without computing it.
Can we identify the data set with the higher standard deviation without performing calculations?Without computing the standard deviation, it is impossible to determine which data set has a higher standard deviation. The rationale behind this is that the standard deviation is a measure of the dispersion or spread of data points around the mean. It takes into account the individual values and their distances from the mean. Therefore, to compare the standard deviations of two data sets, we need to consider the actual values in each set and how they vary from the mean. This information is not provided in the question, so we cannot make a definitive comparison without computing the standard deviations.
To verify which data set has a higher standard deviation, we would need to calculate the standard deviations of both sets by hand or using a statistical software. This involves finding the mean of each data set, then calculating the differences between each value and the mean, squaring those differences, averaging them, and taking the square root. By performing these calculations, we can determine the precise standard deviation for each set and compare them to identify the one with the higher value.
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HELP ME !!!!!
Help me please !!!!
Answer: 141.3cm^3
Step-by-step explanation:
Pi((3)^2)(-5)
Pi(9)(5)
Pi(45)
3.14×45
141.3
context switching is required by all preemptive algorithms.
true/false
The given statement "context switching is required by all preemptive algorithms " is False.
Context switching is not required by all preemptive algorithms. Preemptive algorithms allow the operating system to interrupt the currently executing process and switch to another process.
Context switching involves saving the state of the currently running process and restoring the state of the next process to be executed. While context switching is a common mechanism in preemptive scheduling algorithms, there are non-preemptive algorithms that do not require context switching as they allow processes to run until they voluntarily release the CPU.
So, the statement that context switching is required by all preemptive algorithms is false.
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in a right triangle, the longer leg is two more than three times the shorter leg, and the area of the triangle is 400. what is the length of the shorter leg?
The length of the shorter leg is 16 units which was found using the given data.
What exactly is a quadratic equation?A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is ax² + bx + c = 0.
Given: The larger leg of a right triangle is twice more than three times the shorter leg, and the triangle's area is 400.
We know that,
Area of triangle = 1/2(larger leg)(shorter leg)
400=1/2(larger leg)(shorter leg) Equation(1)
larger leg = 2 + 3(shorter leg)
We need to substitute this in Equation(1)
400 = 1/2[2+3(shorter leg)](shorter leg)
800 = 2(shorter leg) + 3(shorter leg)²
3(shorter leg)² + 2(shorter leg) - 800 = 0
Solving this quadratic equation,
we get, shorter leg = - 16 or +16
Thus, we found that the length of the shorter leg is 16 units as -16 cannot be the length because it is negative.
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What is the value of the expression below
(-64)^2/3
Answer:
16
Step-by-step explanation:
\((-64)^2/3\)
64 = \(2^{6}\)
\(2^{6} ^{\frac{1}{3} } ^{2}\)
\(2^{ 2^{2} }\)
\(2^{4}\)
16
State the equation of the graphed function.
The equation of the graphed function is given as follows:
f(x) = x³ + 2x² - 5x - 6.
How to obtain the equation of the function?
The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
From the graph, the zeros of the function are:
x = -3.x = -1.x = 2.Hence the function is:
f(x) = a(x + 3)(x + 1)(x - 2).
In which a is the leading coefficient.
Expanding the product, we have that:
f(x) = a(x² + 4x + 3)(x - 2)
f(x) = a(x³ + 2x² - 5x - 6).
When x = 0, y = -6, hence the leading coefficient a is obtained as follows:
-6a = -6
a = 1.
Hence the function is:
f(x) = x³ + 2x² - 5x - 6.
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Y-1= -1/3(x-6) in standard form
Answer:
x + 3y = 9
Step-by-step explanation:
the count in a bacteria culture was 400 after 10 minutes and 2000 after 30 minutes. assuming the count grows exponentially, what was the initial size of the culture?
The bacteria culture has an initial size of 79.7409
Given,
The count in a bacteria culture;
After 10 minutes is 400
After 30 minutes is 2000
Assume that the count grows exponentially;
We have to find the initial size of the culture;
Here,
The growth of population can be calculated using;
P = P₀ (1 + r)^t
Here,
Count of bacteria, P = 400 and 2000
Time period, t = 15 and 30
Initial size = P₀
So,
400 = P₀ × (1 + r)¹⁰
2000 = P₀ × (1 + r)³⁰
Take P₀ common.
Then,
400/(1 + r)¹⁰ = 2000/(1 + r)³⁰
(1 + r)³⁰/ (1 + r)¹⁰ = 2000/400
(1 + r)¹⁰ = 5
1 + r = 1.175
r = 0.175
Now,
The value of P₀ should be determined from the above equation;
That is,
400 = P₀ × (1 + 0.175)¹⁰
P₀ = 400/ (1 + 0.175)¹⁰
P₀ = 79.7409
Therefore,
The initial size of the bacterial culture is 79.7409
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okay okay so can anyone help me with this??
Answer:
30
Step-by-step explanation:
Solve the system of linear equations by elimination.
8x-5y=11
4x-3x=5
Answer:
x=5
y=-5.8
Step-by-step explanation:
4x-3x=1x
1x=5
x=5
8(5)-5y=11
40-5y=11
40-11=29
-5y=29
29/-5=-5.8
y=-5.8
an acetal disk precisely 5 mm thick by 25 mm diameter is used as a cover plate in a mechanical loading device. if a 30- kn load is applied to the disk, calculate the resulting dimensions.
The resulting dimensions of the acetal disk under a 30-kN load cannot be calculated without additional information about the material properties and deformation behavior.
To calculate the resulting dimensions of the acetal disk, we need to know its properties such as its modulus of elasticity, Poisson's ratio, and yield strength. Without this information, it is not possible to accurately calculate the resulting dimensions.
However, assuming that the acetal disk behaves as a linearly elastic material and that it does not yield under the applied load, we can use the following formula to calculate the resulting dimensions:
δ = PL/(Et^3π/16)
where δ is the deflection of the disk, P is the applied load, L is the diameter of the disk, t is the thickness of the disk, E is the modulus of elasticity, and ν is Poisson's ratio.
Assuming that the acetal disk has a modulus of elasticity of 2.8 GPa and a Poisson's ratio of 0.35, we can calculate the deflection of the disk as follows:
δ = (30 kN)(25 mm)/[(2.8 GPa)(5 mm)^3π/16] ≈ 0.021 mm
Therefore, the resulting dimensions of the acetal disk would be:
Diameter: 25 mm + 2δ ≈ 25.042 mm
Thickness: 5 mm - δ ≈ 4.979 mm
Note that these calculations are based on several assumptions and simplifications, and the actual resulting dimensions of the acetal disk may differ from these estimates. It is always important to consider the specific properties and behavior of the material being used in any mechanical loading device.
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I need help pleaseee):
Answer:
Step-by-step explanation:
The formula for the circumference of a circle with diameter d is C = nd.
a. Solve the formula for d.
b. The circumference of a circle is 8 inches. What is the diameter of the circle?
Part (a)
\(C=\pi d \implies d=\frac{C}{\pi}\)
Part (b)
\(d=\frac{8}{\pi}\)
What is the relationship between force, mass, and acceleration?
Step-by-step explanation:
Force = Mass × Acceleration
SI Unit of Force Is NewtonSI Unit of Mass Is Kilograms SI Unit of Acceleration Is Metre per second Square .Hope it helps :)
★ As per newton's second law of motion, force is measured as the product of mass and acceleration\(.\)
F = m × aF denotes force
m denotes mass
a denotes acceleration
➤ Force is a polar vector quantity as it has point of application.
It has both magnitude as well as direction.
SI unit of force : N (newton)Hope It Helps!What is the diameter of a hemisphere with a volume of 2507 in³, to the
nearest tenth of an inch?
Answer:
The formula for the volume of a hemisphere is V = (2/3)πr³. Solving for r, we get r = (3V/4π)^(1/3). Substituting V = 2507 in³, we get r ≈ 7.5 in. The diameter of a hemisphere is twice its radius, so the diameter of this hemisphere is approximately 15 inches to the nearest tenth of an inch.
Step-by-step explanation:
Let X be the number of Heads in 10 fair coin tosses. Find the conditional distribution of X given that the first two tosses both land Heads.
The conditional distribution of X given that the first two tosses both land Heads is:
P(X = 0 | HH) = 1
P(X = 1 | HH) = 2
P(X = 2 | HH) = 0
Given that the first two tosses both land Heads, the sample space is reduced to {HH, HT}. Therefore, X can take values 0, 1, or 2, with respective probabilities P(X = 0 | HH) = P(X = 0, HH) / P(HH), P(X = 1 | HH) = P(X = 1, HH) / P(HH), and P(X = 2 | HH) = P(X = 2, HH) / P(HH).
We have:
Probability of getting two heads in a row = P(HH) = 1/2 × 1/2 = 1/4
Probability of getting one head and one tail = P(HT) = 1/2 × 1/2 = 1/4
Now, if the first two tosses are both Heads, then we can only get the following: HH. Thus, the distribution of X is:
X = 0:
- Only one way, P(X = 0, HH) = 1/4
- Hence P(X = 0 | HH) = (1/4) / (1/4) = 1
X = 1:
- Only one way, P(X = 1, HH) = 2/4 = 1/2
- Hence P(X = 1 | HH) = (1/2) / (1/4) = 2
X = 2:
- No way, P(X = 2, HH) = 0
- Hence P(X = 2 | HH) = 0
Thus, the conditional distribution of X given that the first two tosses both land Heads is:
P(X = 0 | HH) = 1
P(X = 1 | HH) = 2
P(X = 2 | HH) = 0
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One architect designed 30 houses on Lackey Avenue, which is 60% of all the houses on that avenue. How many total houses are there on Lackey Avenue?
Answer: 50 houses
Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.
for each picture there is a 1/4 chance of everyone looking at the camera. how many pictures do i need to take for at least a 4/5 pprobability of everyone looking at the camera
Answer: (My view) 6.
Step-by-step explanation: Letting "n" be the number of pictures taken. The probability of no one look at the camera for n photos is of (3/4)^n.
Hence, the probability of at least one photo be the picture craven is of:
(1 - (3/4)^n), and since the likelihood of that being equal to 4/5, it's feasible to assume that (1 - (3/4)^n) = 4/5, solving for that would give:
(3/4)^n = 1/5. Notice that the proposal can also be interpreted as "The number of pictures needed such that the probability of a picture NOT including one with everyone looking at the camera is at most 1/5",
Therefore, (3/4)^n < 1/5;
To solve for that:
n = 1:
3/4 > 1/5,
n = 2:
9/16 > 1/5
n = 3
27/64 > 1/5
n = 4
81/256 > 1/5
n = 5
243/1024 > 1/5
But finally:
n = 6
729/4096 < 1/5
For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.
Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,
= 1 - (1 - p)ⁿ ≥ P
= (1 - p)ⁿ ≤ 1 - P
= n ≥ ln(1-P)/ln(1-p)
= n ≥ ln (0.2) / ln (0.75)
=5.6
Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.
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Simplify
√5 x √12 x √50
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Here's the solution ~
\(\qquad \sf \dashrightarrow \: \sqrt{5} \times \sqrt{12} \times \sqrt{50} \)
\(\qquad \sf \dashrightarrow \: \sqrt{5} \times \sqrt{2 {}^{2} \times 3 } \times \sqrt{2 \times {5}^{2} } \)
\(\qquad \sf \dashrightarrow \: \sqrt{5} \times 2 \sqrt{3} \times 5 \sqrt{2} \)
\(\qquad \sf \dashrightarrow \: 2 \times 5 \sqrt{5 \times 3 \times 2} \)
\(\qquad \sf \dashrightarrow \: 10 \sqrt{30} \)
Please Help solve simultaneous equations , I never got hang of it.
1. a+3b=5
3a+2b=8
2. 3m-4n= -14
2m+2n= 14
\(\huge\underline\mathtt\colorbox{cyan}{ATTACHMENT}\)
Answer:
see explanation
Step-by-step explanation:
(1)
a + 3b = 5 ( subtract 3b from both sides )
a = 5 - 3b → (1)
3a + 2b = 8 → (2)
Substitute a = 5 - 3b into (2)
3(5 - 3b) + 2b = 8 ← distribute and simplify left side
15 - 9b + 2b = 8
15 - 7b = 8 ( subtract 15 from both sides )
- 7b = - 7 ( divide both sides by - 7 )
b = 1
Substitute b = 1 into (1)
a = 5 - 3(1) = 5 - 3 = 2
Then a = 2 and b = 1
(2)
3m - 4n = - 14 → (1)
2m + 2n = 14 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the n- term
4m + 4n = 28 → (3)
Add (1) and (3) term by term to eliminate n
7m + 0 = 14
7m = 14 ( divide both sides by 7 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (2)
2(2) + 2n = 14
4 + 2n = 14 ( subtract 4 from both sides )
2n = 10 ( divide both sides by 2 )
n = 5
Then m = 2 and n = 5
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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