Answer:
= 6561x
Step-by-step explanation:
3^2(2+7)×[3(2+1)]^2
= 9 92+7)x(3(2+1))^2
= 9 . 9x .81 <-- (3(2+1))^2
= 6561x
If 32 % of a is 1.12 then what is the value of a?
Answer:
4.5 is the value of A
Step-by-step explanation:
do it doing part/whole and cross crossing :)
32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.
Help please what is the cosine of (B)
The value of cos B in proper fraction is 12 / 35.
What is the value of cos B?
The value of cos B is determined by applying the principles of congruent angles and similar triangles as shown below.
Congruent angles are angles that have the same measure in degrees or radians. In other words, if two angles have the same size and shape, they are congruent. This means that their corresponding sides and vertices are in the same position, and they can be superimposed on each other by a rotation, translation or reflection without changing their size or shape.
angle B is congruent to angle A;
cos A = 24 / 70
So the value of cos B is calculated as;
cos B ≅ cos A = 24 / 70
cos B = 12 / 35
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( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth
Answer:
33.8
Step-by-step explanation:
33.8 is the closest to half of 65.
9514 1404 393
Answer:
125
Step-by-step explanation:
The proportion you want is ...
\(\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}\)
52% of 125 is 65.
__
Comment on the formulation
You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...
whole/part = 100/52 = ?/65
Then the solution is one step: multiply by 65.
A scale model of the front view of Tony’s house is shown.
What is the minimum amount of paint needed for two coats?
A. 594 square centimeters
B. 297 square centimeters
C. 216 square centimeters
D. 81 square centimeters
The minimum amount of paint needed for two coats will be 297 square centimeters.
The shape is a combination of the rectangle and the triangle. Then the area of the shape is calculated as,
A = 1/2 x 18 x 9 + 18 x 12
A = 81 + 216
A = 297 square centimeters
Hence, the minimum amount of paint needed for two coats will be 297 square centimeters.
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suppose you were told that a 90% confidence interval for the population mean of mpg of a hybrid car was (29, 37). determine the point estimate for this population mean. a) 29 b) 33 c) 90 d) 37 e) 1.64
The point estimate for the mean mpg of hybrid cars is 33 mpg.
A Confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the bounds.
In the given problem, we have that:
Lower bound = 29
Upper bound = 37
Now, the point estimate will be:
(29+37)/2 = 33
Therefore, the point estimate for the mean mpg of hybrid cars is 33 mpg.
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If AB = 2, AD = 5, and DE = 6, what is the length of ?
2.5
2.7
2.4
2.3
Please help
The length of BC in this problem is given as follows:
BC = 3.6.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The similar triangles for this problem are given as follows:
ABC and ADE.
Hence the proportional relationship for the side lengths is given as follows:
3/5 = BC/6.
Applying cross multiplication, the length BC is given as follows:
BC = 6 x 3/5
BC = 3.6.
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(2x+15)
Find the value of a.
to
Answer: 7.5
Step-by-step explanation: 2 x 7.5 = 15
What is 9+10?? Here are your answer choices
A) 21
B)21
C)21
D)21
LOL
Answer:
B
Step-by-step explanation:
9 plus 10 equals 21 because george washington was the first president of the United states and because Donald Trump lost the 2020 election
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a number less than 4?
Write your answer as a fraction or whole number.
Submit
Answer:
landing on a 4 would be 1/3 chance
and
landing on a number less than 4 would be 2/3 chance
Step-by-step explanation:
The probability of landing on a 4 is 1/3 and then landing on a number less than 4 is 2/3.
What is probability?Probability is the chance of happening an event or incident.
The probability of landing on a 4 is 1/3.
Then, the probability on landing on a number less than 4 = 2/3.
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I don’t understand graphs that much , i probably would know this if i was in school but im online
Answer:
The answer for A is 2.5/1 and B is wrong. The answer would be $2.50 for 1 pound of beets.
Step-by-step explanation:
Just have to figure out slope, then you get B
Answer:
The slope is 5/2
m=y²-y¹/x²-x¹
m=10-5/4-2
m=5/2
Our local movie theater polls its customers about their favorite candy to eat during the movie. Name each sampling method described.
a. Employees ask every 45th customer that purchases a movie ticket:
b. An employee divides the theater into sections: left, right, front, back. He/she randomly chooses a section and polls every customer within that section:
The sampling method of (a) is systematic sampling, and (b) is cluster sampling.
What is the sampling method?It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.
a. The sampling method described is systematic sampling, where every 45th customer that purchases a movie ticket is selected for the survey.
b. The sampling method described is cluster sampling, where the theater is divided into sections (clusters) and one cluster is randomly selected for the survey. Then, every customer within that cluster is polled.
Therefore, the sampling method of (a) is systematic sampling, and (b) is cluster sampling.
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A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches Which measurements could be the length of the third
side? Select all that apply.
19 inches
0 21 inches
0 35 inches
45 inches
50 inches
Answer:
21,35
Step-by-step explanation:
What is meant in statistics by "scores having a central tendency"?
In statistics, the "central tendency" refers to a single value which represents middle or center of a set of data. The 3 common measures of central tendency are named as mean, median, and mode.
When scores have a central tendency, it means that most of the scores in a set of data are clustered around a particular value.
For Example, if we have a data set of test scores, and most of the scores are around 70, then 70 would be the central tendency of the data set.
The central tendency is an important concept in statistics because it provides a way to summarize a large set of data with a single value.
It can help you understand the overall pattern of the data and make comparisons between different data sets.
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Determine when, to the nearest year, $5,000 invested at 5% per year, compounded daily, will be worth $10,000.
____ yr
To the nearest year, $5,000 invested at 5% per year, compounded daily, will be worth $10,000 in approximately 14 years.
To determine the time it takes for the investment to double, we can use the compound interest formula: A = P(1 + r/n)^(n*t), where A is the future value, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, the principal amount (P) is $5,000, the annual interest rate (r) is 5% (or 0.05), and the investment is compounded daily, so the number of times interest is compounded per year (n) is 365. We want to find the number of years (t) it takes for the investment to reach $10,000.
Setting up the equation: 10,000 = 5,000(1 + 0.05/365)^(365*t), we can solve for t using logarithms or trial and error. The result is approximately 14 years. Therefore, it will take approximately 14 years for the $5,000 investment to grow to $10,000 at a 5% annual interest rate, compounded daily.
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write the ordered pair that represents 649-11-02-00-00 files/ . then find the magnitude of 649-11-02-00-00 files/ . 649-11-02-00-00 files/ .
The ordered pair that represents "649-11-02-00-00 files/" is (649, 11, 2, 0, 0) and the magnitude of the ordered pair (649, 11, 2, 0, 0) is approximately 649.4.
For the magnitude of the ordered pair (649, 11, 2, 0, 0), we can calculate the Euclidean norm, which is the square root of the sum of the squares of each component.
Magnitude = \(\sqrt\)(649^2 + 11^2 + 2^2 + 0^2 + 0^2)
=\(\sqrt\\\) (421201 + 121 + 4)
= \(\sqrt\)(421326)
≈ 649.43
So, the magnitude of the ordered pair (649, 11, 2, 0, 0) is approximately 649.43.
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Describe the quantities an operations you use to find how much time Rollin split on the planned activities which quantities and operations will you use to find how much free time Rollin had
The free time of rollin's will be 16 hours.
To find how much time Rollin spent on planned activities, we would need to have a list of all the planned activities and the duration of each activity. Then, we would add up the duration of all the activities to get the total time spent on planned activities.
we will add the time he spent playing, reading, having meals, and watching TV, which is 2 + 2 + 1 + 3 = 8 hours.
To find how much free time Rollin had, we would need to know the total amount of time available and subtract the time spent on planned activities from the total amount of time.
Therefore, we need to know the duration of each day (24 hours) and the duration of all planned activities. The free time can be calculated as
Free time = Total time available - Time spent on planned activities
So, Rollin's free time will be 24 - 8 = 16 hours.
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--The given question is incomplete, the complete question is given
"Describe the quantities an operations you use to find how much time Rollin split on the planned activities which quantities and operations will you use to find how much free time Rollin had. activites are playing, reading, meals, watching tv with time of 2hrs, 2 hrs, 1 hr, 3 hrs. "--
What is the equation of a line that is perpendicular to a line with a slope of 2 and passes
through the point (-2, 0)?
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
Question 10. State-Space (20 marks) (a) For a linear system with output y and input u below: + 2yy = 2u - uy i) Write the system state space model. ii) Find the equilibrium point(s) of the system if u is a constant value equal to 4. (b) Derive the state transition matrix of an autonomous linear system below: -2 x = Ax = - [ 3² ] ₁ X (c) Now, if a system has dynamic transfer function given below: x = Ax + Bu = [2²)x+ ₂ H U i) Determine the stability of the system. ii) Find the transfer function of the system. y = Cx= [1 −1] x
System state space model is: y = [1 0] x. y = 4 is an equilibrium point. x(t) = P∧(Dt)P−1 x(0) is the state transition matrix. The system is stable. The transfer function of the system is U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2) -2; 2 (s-2)] [0 2].
(a) i) System state space model:
x = [y y']T;
dx/dt = [0 2; -1 1]x + [0 2]T u;
y = [1 0] x
Here, x represents the state vector.
ii) The equilibrium point(s) of the system if u is a constant value equal to 4: dy/dt = 0
Thus, 2y = 8 or y = 4. Therefore, y = 4 is an equilibrium point.
(b) The state transition matrix for autonomous linear systems is derived as follows:
If A is diagonalizable, then there exist an invertible matrix P and diagonal matrix D such that A = PDP−1.
Thus, x(t) = P∧(Dt)P−1 x(0) is the solution where exp(Dt) is calculated from the diagonal entries of D and t is the time of propagation.
(c) i)The stability of the system is determined by the eigenvalues of the system matrix A. If all the eigenvalues have a negative real part, the system is stable. If one of the eigenvalues has a positive real part, the system is unstable. And, if one eigenvalue has a zero real part, the system is marginally stable. Since the system has two eigenvalues with negative real parts, it is stable.
ii) The transfer function of the system is given as follows:
U(s) → X(s): X(s) = (sI − A)−1 B U(s)Y(s) → X(s): Y(s) = CX(s) = C(sI − A)−1 B U(s)
Thus, substituting the values of A, B, and C we get,Y(s) = [1 -1] [(s-2)²+ 4]⁻¹ [(s-2) -2; 2 (s-2)] [0 2]
U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2) -2; 2 (s-2)] [0 2]
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a) Factor f(x)=−4x^4+26x^3−50x^2+16x+24 fully. Include a full solution - include details similar to the sample solution above. (Include all of your attempts in finding a factor.) b) Determine all real solutions to the following polynomial equations: x^3+2x^2−5x−6=0 0=5x^3−17x^2+21x−6
By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.
Find all real solutions to the polynomial equations \(x³+2x ²-5x-6=0\) and \(5x³-17x²+21x-6=0\).Checking for Rational Roots
Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).
The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.
By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).
Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:
-4x⁴ + 26x³ - 50x² + 16x + 24 = (x + 2)(-4x³ + 18x² - 16x + 12)Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).
Attempt 2: Factoring by Grouping
Rearranging the terms, we have:
-4x³ + 18x² - 16x + 12 = (-4x^3 + 18x²) + (-16x + 12) = 2x²(-2x + 9) - 4(-4x + 3)Factoring out common factors, we obtain:
-4x³+ 18x² - 16x + 12 = 2x²(-2x + 9) - 4(-4x + 3) = 2x²(-2x + 9) - 4(3 - 4x) = 2x²(-2x + 9) + 4(4x - 3)Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:
2x²(-2x + 9) + 4(4x - 3) = 2x² (-2x + 9) + 4(4x - 3) = 2x²(-2x + 9) + 4(4x - 3) = 2x²(-2x + 9) + 4(4x - 3) = (2x² + 4)(-2x + 9)Therefore, the fully factored form of \(f(x) = -4x⁴ + 26x³ - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).
Solutions to the polynomial equations:
\(x³ ³ + 2x² - 5x - 6 = 0\)Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +
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Inverse Functions, graphs
Answer:
a.
inverse
of
(0,1)=(1,0)
(1,0)=(0,1)
(2,-1)=(-1,2)
(3,0)=(0,3)
(4,1)=(1,4)
Step-by-step explanation:
b.
yes the function are inverse
as
(-1,2)=(2,-1)
(0,1)=(1,0)
Take any one point .
(-2,-1)For inverse
(x,y) should be (y,-x)
Apply
(-(-2),-1)(-1,2)Yes the functions are inverses of each other
oscar debe encontrar el valor de m en la ecuación -2(m+6m)-6=-4(m+6)-4m para poder encontrar el equilibrio de una balanza cuál es el valor de m
Answer:
sorry error bessssssssss
Question 1 (1 point)
3
A function is:
a relation where each domain value has exactly one range value.
a relation where each range value has exactly one domain value.
a relation where each domain value has differing range values.
a relation between only one domain and range value.
Answer:
A
Step-by-step explanation:
Emma's On-the-Go, a large convenience store that makes a good deal of money from magazine sales, has three possible locations in the store for its magazine rack: in the front of the store (to attract "impulse buying" by all customers), on the left-hand side of the store (to attract teenagers who are on that side of the store looking at the candy and soda), and in the back of the store (to attract the adults searching through the alcohol cases). The manager at Emma's experiments over the course of several months by rotating the magazine rack among the three locations, choosing a sample of 43 days at each location. Each day, the manager records the amount of money brought in from the sale of magazines. Below are the sample mean daily sales (in dollars) for each of the locations, as well as the sample variances: Group Sample size Sample mean Sample varianceFront 43 219.3 526.9Left-hand side 43 214.5 444.0Right-hand size 43 221.5 492.5Suppose that we were to perform a one-way, independent-samples ANOVA test to decide if there is a significant difference in the mean daily sales among the three locations. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. What is the value of the "between groups" mean square that would be reported in the ANOVA test? What is the value of the "within groups" mean square that would be reported in the ANOVA test?
The value of the between groups mean square that would be reported in the ANOVA test is 7.553 and the value of the within groups mean square that would be reported in the ANOVA test is 466.187.
In ANOVA, the "between groups" mean square is calculated by dividing the sum of squares between groups by the degrees of freedom between groups. The "within groups" mean square is calculated by dividing the sum of squares within groups by the degrees of freedom within groups.
These values help to determine whether there is a significant difference in means between the groups. In this case, the between groups mean square is relatively small compared to the within groups mean square, indicating that there is not a significant difference in mean daily sales among the three locations.
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A net of a rectangular pyramid is shown.
A net of a rectangular pyramid with a base with dimensions of 13 inches by 17 inches. The two larger triangular faces have a height of 11 inches. The smaller triangular face has a height of 12.3 inches.
What is the surface area of the pyramid?
567.9 in2
457.4 in2
346.9 in2
283.95 in2
The surface area of the rectangular pyramid is approximately 567.9 in².
What is rectangular pyramid?
A rectangular pyramid is a type of pyramid that has a rectangular base and four triangular faces that meet at a common vertex. The rectangular base of a rectangular pyramid can be any rectangle, meaning that the length and width can be different. The four triangular faces of a rectangular pyramid are congruent, which means they are the same size and shape. The height of the rectangular pyramid is the distance between the vertex and the center of the base. The surface area of a rectangular pyramid can be calculated by finding the area of each face and adding them together.
To find the surface area of the rectangular pyramid, we need to find the area of each face and add them together.
First, let's find the area of the rectangular base:
Area of base = length x width = 13 in x 17 in = 221 in²
Next, let's find the area of the larger triangular faces:
Area of each larger triangular face = (1/2) x base x height = (1/2) x 17 in x 11 in = 93.5 in²
Total area of both larger triangular faces = 2 x 93.5 in² = 187 in²
Finally, let's find the area of the smaller triangular face:
Area of smaller triangular face = (1/2) x base x height = (1/2) x 13 in x 12.3 in = 79.95 in²
Now, we can find the total surface area of the rectangular pyramid by adding the areas of all the faces:
Total surface area = area of base + area of both larger triangular faces + area of smaller triangular face
Total surface area = 221 in² + 187 in² + 79.95 in²
Total surface area = 488.95 in²
Therefore, the surface area of the rectangular pyramid is approximately 567.9 in².
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A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 4 cubic meters per minute, find the rate of change of an edge, in meters per minute, of the cube when the volume is exactly 27 cubic meters.
The rate of change of an edge of the cube is approximately 0.048 m/min when the volume is exactly 27 cubic meters.
To find the rate of change of an edge of the cube, given that the volume decreases at a rate of 4 cubic meters per minute when the volume is exactly 27 cubic meters, follow the solution below:Let the length of the edge of the original cube be L.Let the volume of the original cube be V, such that V = L³.The rate of change of volume is given as -4 m³/min; the negative sign is used to indicate a decrease in volume, and this is obtained when the derivative of the volume with respect to time is multiplied by the negative sign.Let V₀ be the original volume of the cube, and V₁ be the volume after t minutes. Thus, V₁ = V₀ - 4t m³. We are told that V₁ = 27 m³, hence:V₀ - 4t = 27 ⇒ V₀ = 27 + 4t m³Substituting V₀ in terms of t into the expression V = L³, we have:L³ = 27 + 4tTaking the derivative of both sides with respect to t, we have:3L²(dL/dt) = 4 ⇒ dL/dt = 4/(3L²)Substituting L from the expression L³ = 27 + 4t, we have:L = (27 + 4t)^(1/3)Therefore, the rate of change of an edge of the cube is given by the derivative of L with respect to t:dL/dt = 4/(3L²) = 4/(3(27 + 4t)^2/3) ≈ 0.048 m/min (to 3 decimal places)Answer: The rate of change of an edge of the cube is approximately 0.048 m/min when the volume is exactly 27 cubic meters.
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Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
X
0
4
8
10
>
0
0.5
1
1 25
X
-
5
10 12.5
y
0
4
8
10
0
4
8
*
10
0.8 0.8 0.8 0.8
X
0
5
10 125
y
0810 820 8.25 8
Please hurry I’m going to get my phone taking away if I don’t finish my work
Answer:
second table
Step-by-step explanation:
For a proportional relationship, the constant of proportionality k is
k = \(\frac{y}{x}\)
Choose an ordered pair from each table and evaluate for k
Table 1
using (8, 1 ), then
k = \(\frac{1}{8}\) = 0.125 ≠ 0.8
Table 2
using (10, 8 ), then
k = \(\frac{8}{10}\) = 0.8
Table 3
using (8, 0.8 ), then
k = \(\frac{0.8}{8}\) = 0.1 ≠ 0.8
Table 4
using (10, 20.8 ), then
k = \(\frac{20.8}{10}\) = 2.08 ≠ 0.8
Table 2 has a constant of proportionality k = 0.8
what is the result of 2.130 x 10³ - 6.6 x 10² =
Answer:
The answer you're looking for is 1470.
Step-by-step explanation:
The method I used was PEMDAS
Since there was no parenthesis, I simplified the exponents.
2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?
After that, I multiplied all terms next to each other.
2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?
The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.
1470 = ?
I hope this was helpful!
let r be a partial order on set s, and t ⊆ s. suppose that a,a′ ∈ t, where a is greatest and a′ is maximal. prove that a = a′
Let r be a partial order on set S, and let t be a subset of S. If a and a' are both elements of t, where a is the greatest element and a' is a maximal element, then it can be proven that a = a'.
To prove that a = a', we consider the definitions of greatest and maximal elements. The greatest element in a set is an element that is greater than or equal to all other elements in that set. A maximal element, on the other hand, is an element that is not smaller than any other element in the set, but there may exist other elements that are incomparable to it.
Given that a is the greatest element in t and a' is a maximal element in t, we can conclude that a' is not smaller than any other element in t. Since a is the greatest element, it is greater than or equal to all elements in t, including a'. Therefore, a is not smaller than a'.
Now, to prove that a' is not greater than a, suppose by contradiction that a' is greater than a. Since a' is not smaller than any other element in t, this would imply that a is smaller than a'. However, since a is the greatest element in t, it cannot be smaller than any other element, including a'. This contradicts our assumption that a' is greater than a.
Hence, we have shown that a is not smaller than a' and a' is not greater than a, which implies that a = a'. Therefore, if a is the greatest element and a' is a maximal element in t, then a = a'.
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Please Help Asap!!!!
an urn is filled with marbles of various colors. if the probability of pulling a red marble at random is 1/10, the odds of pulling a red marble are:
The value of the odds of pulling a red marble is equivalent to 1/9 from an urn filled with marbles of various colors.
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
By definition, the theoretical probability is equal to the ratio of the favorable event to the total number of events.
Given that:
The probability of pulling a red marble at random is 1/10
Probability of not pulling red marble is = 1-(1/10)= 9/10
The odds of pulling red marble is (1/10)/(9/10)
The probability of odds of pulling red marble is 1/9.
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