Answer:
h= -10
Step-by-step explanation:
Basically you’re finding out what h is equal to because h can’t be a real number i guess i would say. It is but it also isn’t if that makes sense. Basically just subtract 8 on both sides ands you get your answer. Hope this helped :)
Classify the states of the following Markov chain and select all correct statements. [1 0 0 0 0 0 0 ]
[7/8 1/8 0 0 0 ]
[0001/3 1/2 1/6]
[0 0 1/3 2/3 0]
a)State 1 is absorbing b) States 4 and 5 are periodic c) State 1 is transient d) State 1 is recurrent e) States 3, 4 and 5 are recurrent f) Only state 3 is recurrent
In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.
A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.
State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.
State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.
State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.
State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.
State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.
To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.
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Enter the letter of the answer.
The "rise" of this line is 1. The "run" of the line is (Answer)
.
a. -1
b. 1
c. 3
d. -3
Answer: (B)
Step-by-step explanation:
We can see that the rise is 1 because the y value increases by 1 for every increase of the x value.
Using a similar strategy, we can see that the x value increases by 1 for every increase in the y value.
Therefore the run is 1
(B)
If the value at the 55th percentile of the distribution of WINS over the 44 seasons equals 23.5, by how many WINS can one occurrence of the maximum value for WINS be reduced, yet still NOT change the value at the 55th percentile (holding all other values constant)
To determine the number of WINS by which one occurrence of the maximum value can be reduced without changing the value at the 55th percentile.
We need to find the maximum value in the dataset and evaluate its impact on the percentile.
Let's assume the maximum value for WINS is X. To maintain the value at the 55th percentile (23.5), we need to find the threshold value below which the dataset will not be affected by reducing the maximum value.
We can start by arranging the data in ascending order and finding the value at the 55th percentile. Since we have 44 seasons, the 55th percentile would be approximately at the (55/100) * 44 = 24.2nd value.
Now, we compare the value at the 24th position and the value at the 25th position in the dataset. If both of these values are below 23.5, reducing the maximum value by any amount will not change the value at the 55th percentile.
For example, if the value at the 24th position is 23 and the value at the 25th position is 24, reducing the maximum value by any amount will still keep the 55th percentile at 23.5.
However, if either the value at the 24th position or the value at the 25th position (or both) is 23.5 or higher, reducing the maximum value will impact the 55th percentile.
Therefore, to accurately determine the number of WINS by which one occurrence of the maximum value can be reduced without changing the value at the 55th percentile, we need to know the specific values at the 24th and 25th positions in the dataset.
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6. Which is the solution to the system of equations
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
a father has 4,500 naira to distribute among his children how much would a child with 30percent share get. how much would a child with 45percent get
Answer:
30%=1350
45%=2025
Step-by-step explanation:
30% of 4500 = 0.30 × 4500
=1350
45% of 4500 = 0.45 × 4500
=2025
in the computer game world of warcraft, some of the strikes are critical strikes, which do more damage. assume that the probability of a critical strike is the same for every attack, and that attacks are independent. during a particular fight, a character has 243 critical strikes out of 534 attacks.
Answer: whats the question?
Step-by-step explanation:
can someone help me with this: y=-5x+5
Answer:
I think it would be y=x
Step-by-step explanation:
I might be wrong
Answer:-y=-x is the answer
Step-by-step explanation:
y=-5x+5
move the +5 over to the y
-5y=-5x
Divide by # that can do both so 5
5/-5y=-1y
5/-5x=-1x
So -y=-x
Simplify
10 + 9t + 2 + 9t
Answer:
6(3t+2)
Step-by-step explanation:
What number does the hour hand (the short arm) point to when it is
rotated 150 degrees clockwise? *
20 points
6
7
8
9
a not-so-enthusiastic student has a predictable pattern for attending class. if the student attends class on a certain friday, then she is 2 times as likely to be absent the next friday as to attend. if the student is absent on a certain friday, then she is 4 times as likely to attend class the next friday as to be absent again. what is the long run probability the student either attends class or does not attend class? g
Therefore, the probability that the student attends class on a certain Friday is 1/2, and the probability that the student is absent is also 1/2. The long-run probability that the student either attends class or does not attend class is simply 1, since these are the only two possible outcomes.
Let's use A to represent the event that the student attends class on a certain Friday, and let's use B to represent the event that the student is absent on a certain Friday. We are asked to find the long-run probability that the student either attends class or does not attend class.
We can use the law of total probability and consider the two possible scenarios:
Scenario 1: The student attends class on a certain Friday
If the student attends class on a certain Friday, then the probability that she will attend class the next Friday is 1/3, and the probability that she will be absent is 2/3. Therefore, the probability that the student attends class on two consecutive Fridays is:
P(A) * P(A|A) = P(A) * 1/3
Scenario 2: The student is absent on a certain Friday
If the student is absent on a certain Friday, then the probability that she will attend class the next Friday is 4/5, and the probability that she will be absent again is 1/5. Therefore, the probability that the student is absent on two consecutive Fridays is:
P(B) * P(A|B) = P(B) * 4/5
The probability that the student attends class or is absent on a certain Friday is 1, so we have:
P(A) + P(B) = 1
Now we can solve for P(A) and P(B) using the system of equations:
P(A) * 1/3 + P(B) * 4/5 = P(A) + P(B)
P(A) + P(B) = 1
Simplifying the first equation, we get:
2/3 * P(B) = 2/3 * P(A)
P(B) = P(A)
Substituting into the second equation, we get:
2 * P(A) = 1
P(A) = 1/2
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What is the perimeter?
Answer:
180
Step-by-step explanation:
The perimeter of geometrical shapes is calculated by adding side lengths:
72 + 30 + c = p first we need to find the value of c
The square length of hypotenuse is equal to sum of the square length of the legs:
30^2 + 72^2 = c^2
900 + 5184 = c^2
6084 = c^2 find the root of the both sides
78 = c
78 + 72 + 30 = 180
y + 7x=50 one solution, no solution, Infinite solutions
a data set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 26.5. what is the value of the additional data point?23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19
The value of the additional data point is 36
To find the value of the additional data point, we can use the concept of the sample mean.
Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.
The sample mean of this data set is 26.5.
To find the value of the additional data point, we can use the formula for the sample mean:
(sample mean) = (sum of all data points) / (number of data points)
In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.
Therefore, we can set up the equation:
26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12
Multiplying both sides of the equation by 12 to eliminate the fraction, we have:
318 = 282 + x
Subtracting 282 from both sides of the equation, we find:
x = 318 - 282
x = 36
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.
Find the lengths of the unknown sides of the triangle
it's a Pythagorean theorem though
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
Rise is a vertical line from 0 to 4
Run is a horizontal line from 0 to 4
Slope of a line is called the gradient.
Additional information:
Gradient =rise/run
= 4/4
= 1
Y=mx +c
Y=1x +4
Y= x+4
But the slope show a negative correlation, so gradient will be negative & it's y = - x + 4.
BTW the rise and run could also be from 4 on the y-axis and down to the 4 on the x-axis.
So, there is two possible triangles you could make.
As a result, the rise is a straight line going up or down ( vertical ) and the run is a straight line going across from left to right (horizontal).
Can someone help me solve this please?
The segment lengths for this triangle are given as follows:
PX = 7.5.XQ = 22.5.XY = 9.ZW = 21.6. What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.There are three triangles in this problem, all of which are similar.
PQR.PZW.PXY.The length of segment PX can be obtained with triangles PQR and PXY, as follows:
PX/30 = 10/40
PX/30 = 1/4
4PX = 30
PX = 7.5.
The length of segment XQ is found applying the segment addition postulate, as follows:
PQ + XQ = 30
7.5 + XQ = 30
XQ = 22.5.
The length of segment XY can also be obtained with the similarity of triangles PXY and PQR, as follows:
XY/36 = 10/40
XY/36 = 1/4
4XY = 36
XY = 9.
The length of segment ZW is obtained with the similarity of triangles PZW and PQR, as follows:
ZW/36 = 24/40
ZW/36 = 0.6.
ZW = 36 x 0.6
ZW = 21.6.
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Brianna wants to buy a digital camera for a photography class. One store offers the camera for $60 down and a payment plan of $10 per month. The payment plan for a second store is described by y 20x + 60, where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the camera is paid off in 12 months? Explain.
Please show your work! I will give brainliest answer quick
The cost of the camera in the first store is cheaper as the downpayment is the same for both stores but the monthly payment is cheaper in the first store.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
The total cost for the first store is,
y = 10(12) + 60.
y = 120 + 60.
y = $160.
The total cost for the second store is,
y = 20(12) + 60.
y = 240 + 60.
y = $300.
So, The first store is cheaper.
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Suppose your math teacher was running for Governor. In a pre-election poll of 750 people, the estimate (called a point estimate) was 40%, meaning that 40% of the people would vote for your math teacher. Suppose there was a 4% margin of error. How many people (out of 750) said they would vote for your math teacher? Show your work. Write the answer as a complete sentence.
Solution
- 40% of peole would vote for the mMath teacher out f the 750 people. This implies that the number of people tahat would vote for him is
\(\begin{gathered} 40\%\times750 \\ \frac{40}{100}\times750=300\text{ people} \end{gathered}\)- We are also told that there is a margin of error of 4%. This implies that the number of people that vote for the math teacher is either 4% more or 4% less than the 300 people
- 4% margin of error can be gotten as follows:
\(\frac{4}{100}\times750=30\)- Thus, the number of people that vote for him is 300 give or take 30 people
A mathematics student decides to use
355
an approximation to of
113
Calculate his percentage error in using
this value, giving your answer in
standard form.
In a case whereby A mathematics student decides to use an approximation of π of 355/113 his percentage error in using this value, can be expressed as
How can the percentage error be calculated?Percent error (percentage error) can be described as the difference that can be established between experimental as well as theoretical value, which is been divided by theoretical value then find the multiplication by 100
The error can be calculad as (355/113 - π) / π
=8.5*10^-5
The percentage error = 8.5*10^-5*100 = 8.5*10^-6
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PLEASE HELP. Don’t reply if don’t know!
Answer:
Pradnya can do two consecutive 90°-clockwise rotations or two consecutive 90°-counterclockwise rotations in order to land the piece squarely on the gap.
Answer:
you could turn it upside down and face the L to the left and make it fit into the hole or put it on top of the right facing L
Step-by-step explanation:
hope this helps have a good day
what’s the square root of 50, 147,96 and -8 square root 16
The value that a number produces when it is multiplied by itself is known as the square root of the number. The square root is denoted by the radical sign. For instance, 16 Equals 4. The root symbol or surds is another name for the radical symbol.
How do you calculate the square root?The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."
The square root of 50 is 7.07106781187.
The square root of 147 is 12.124355653
The square root of 96 is 9.79795897113
The square root of -8 is 2.82842712475i
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Gloria has been offered a position selling perfume scented air bags to luxury carmakers. She was given a choice of receiving a monthly salary of $750 plus a bonus of 25% of her monthly sales or a $3000 monthly salary with a 10% bonus on sales. How much would Gloria have to sell to make the same amount of money from each?
Answer:
$15,000
Step-by-step explanation:
Let the monthly sales = x
We write an expression for each choice. Then we set the choices equal and sole for x.
"monthly salary of $750 plus a bonus of 25% of her monthly sales"
0.25x + 750
"$3000 monthly salary with a 10% bonus on sales"
0.1x + 3000
Set the choice equal:
0.25x + 750 = 0.1x + 3000
0.15x = 2250
x = 2250/0.15
x = 15,000
Answer: $15,000
Answer: It’s $15,000.00 or otherwise it would say it’s incorrect.
Find the area of the composite figure.
A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192
The area of the composite figure from the image attached is 112.5 units²
What is the area of a composite figure?The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
A parallelogramA rectangleA triangleThe area of a parallelogram = b × h
where;
b & h refers to the length of the two opposite diagonal lines.The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle \(\mathbf{=\dfrac{1}{2}\times b \times h}\)
where;
Base = b Height = hThe area of the triangle \(\mathbf{=\dfrac{1}{2}\times b \times h}\)
The area of the triangle \(\mathbf{=\dfrac{1}{2}\times 9 \times 7}\)
The area of the triangle \(\mathbf{= 31.5 units^2}\)
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
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A recipe calls for 33 pounds of pasta to serve 1414 people. Of a restaurant is cooking pasta for a party of 5656 people, what should they do
Answer:
the restaurant should cook 132 pounds of pasta for the party of 5656 people.
Step-by-step explanation:
If a recipe calls for 33 pounds of pasta to serve 1414 people, then the amount of pasta needed to serve 5656 people can be calculated using the following proportion:
33 pounds / 1414 people = x pounds / 5656 people
Solving for x gives:
x = (33 * 5656) / 1414 = 132 pounds
Therefore, the restaurant should cook 132 pounds of pasta for the party of 5656 people. I hope this helps!
An art student wants to enlarge a triangle with the sides 8, 8, and 14 cm. The new triangle will have a measurement of 21 cm on its longest side. How long will the other sides be on the new triangle
Answer:
21 ÷ 14 = 1.5
8 × 1.5 = 12
The other sides of the new triangle will be 12 cm.
Suppose that 12 inches of wire costs 36 cents.
At the same rate, how much (in cents) will 42 inches of wire cost?
Answer:
126 cents, or $1.26
Step-by-step explanation:
First you divide 42 by 12 and get 3.5, then you multiply that by 36 and get you answer.
has one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.
one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.
What is eigenvalue?
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)
and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)
and the roots of this polynomial is:
\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
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Complete Quetion
The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.
A quadrilateral has two angles that measure 10° and 70°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?
Answer:
The measures of those two angles are 60° and 220°
Step-by-step explanation:
The sum of the measures of the angles of any quadrilateral is 360°Let us solve the question
∵ A quadrilateral has two angles that measure 10° and 70°
→ By using the rule above, subtract their measure from 360
∴ The sum of the other two angles = 360° - 10° - 70°
∴ The sum of the other two angles = 280°
∵ The other two angles are in a ratio of 3: 11
→ Find the sum of the parts of the ratio
∵ The sum of the parts of the ratio = 3 + 11 = 14
∵ The sum of the measures of these 2 angles is 280°
→ By using the ratio method
→ m∠1 : m∠2 : their sum
→ 3 : 11 : 14
→ x : y : 280°
→ By using cross multiplication
∵ x × 14 = 3 × 280
∴ 14x = 840
→ Divide both sides by 14
∴ x = 60
∴ m∠1 = 60°
∵ y x 14 = 11 x 280
∴ 14y = 3080
→ Divide both sides by 14
∴ y = 220
∴ m∠2 = 220°
∴ The measures of those two angles are 60° and 220°
Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
Find the measures of AB and AC
Show all necessary calculations for full credit
The value of the segments AB and AC and for the similar triangles are 20 inches and 10 inches respectively.
How to calculate for AB and AC for the similar trianglesThe triangles ABC and EDC are similar, this implies that the length CD of the smaller triangle is similar to the length CB of the larger triangle
and the length AB of the smaller triangle is similar to the length ED of the larger triangle
and the length EC of the smaller triangle is similar to the length AC of the larger triangle
so;
12/15 = 16/AB
AB = (16 × 15)/12 {cross multiplication}
AB = 20
12/15 = 8/AC
AC = (8 × 15)/12 {cross multiplication}
AC = 10
Therefore, the value of the segments AB and AC and for the similar triangles are 20 inches and 10 inches respectively.
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