Answer:
30 feet per second
Step-by-step explanation:
you can easily get your answer by dividing 450 by 15.
Given the following transition matrix, P=
[ 0.8 0.2 0 ]
[ 0.3 0.5 0.2]
[ 0.1 0.1 0.8]
, with states 1,2&3 representing brand 1 , brand 2 and brand 3. Each probability represents the likelihood of staying or switching brands after one month of advertising.
Determine the following
1. Given a customer is currently using Brand 3, what is the probability of switching from Brand 3 to Brand 1 after 3 months of advertising? Show your Work ( 5 points)
2. Determine the steady state probabilities. Write the equations ( 10 points)
3. What is the average of months it takes a customer to return to brand 3, i.e. μ 33
4. On an average, how many months of advertising does it take to switch from Brand 1 to Brand 2 ? (5 points)
The answer is, (1) the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%)., (2) x = 0.1667 (or 16.67%) ,y = 0.3571 (or 35.71%) ,z = 0.4762 (or 47.62%) , (3) μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months. , (4) μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.
1. To determine the probability of switching from Brand 3 to Brand 1 after 3 months of advertising, we can use the transition matrix.
The probability can be calculated by multiplying the probabilities of transitioning from Brand 3 to Brand 1 over the course of 3 months.
The transition probability from Brand 3 to Brand 1 is 0.1 (P[3,1] = 0.1), and we need to multiply it by itself three times since we want to find the probability after 3 months.
Therefore, the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%).
2. To determine the steady state probabilities, we need to solve the equation P = P * P, where P is the transition matrix and * represents matrix multiplication.
The steady state probabilities are the eigenvector corresponding to the eigenvalue 1.
Let x, y, and z represent the steady state probabilities for Brand 1, Brand 2, and Brand 3, respectively.
We have the following equations:
0.8x + 0.3y + 0.1z = x
0.2x + 0.5y + 0.1z = y
0.2y + 0.8z = z
Simplifying the equations, we get:
0.8x + 0.3y + 0.1z - x = 0
0.2x + 0.5y + 0.1z - y = 0
-0.2y + 0.8z - z = 0
Solving these equations, we find that the steady state probabilities are:
x = 0.1667 (or 16.67%)
y = 0.3571 (or 35.71%)
z = 0.4762 (or 47.62%)
3. The average number of months it takes a customer to return to Brand 3 can be found by calculating the expected number of transitions from Brand 3 to Brand 3.
This is represented by the element μ33 in the transition matrix.
In the given transition matrix, P[3,3] represents the probability of staying with Brand 3 after one month.
Therefore, μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months.
4. To determine the average number of months it takes to switch from Brand 1 to Brand 2, we need to calculate the expected number of transitions from Brand 1 to Brand 2.
This is represented by the element μ12 in the transition matrix.
In the given transition matrix, P[1,2] represents the probability of switching from Brand 1 to Brand 2 after one month. Therefore, μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.
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Which angles is supplementary to angle 7
Answer:
Angle 8
Step-by-step explanation:
Angles 7 and 8 are supplementary because they are both on a straight line.
A straight line is 180*, and the line that forms the angles 7 and 8 splits 180* into those degrees in the angles, so both of those angles add to 180* which makes them supplementary.
Determine if they are inverses or not
Answer: No
Step-by-step explanation:
They are not inverses because the slope for g(x) needs to also be negative, which it isn't.
How do you write numbers more than 100?
The numerical figures are used to write numbers more than 100.
What is numbers?
An arithmetic value known as a number is used to represent a quantity and perform calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.
To represent numbers greater than 100, use numeral figures; however, whole numbers, such as 300 or 1,000, should be written out.
When representing non-whole numbers like 1,239 or 603, use numerals.
Except for whole numbers combined with hundred, thousand, hundred thousand, million, billion, and beyond, the Chicago Manual of Style advises spelling out numbers from zero to one hundred and using figures after that (e.g., two hundred; twenty-eight thousand; three hundred thousand; one million).
Hence, the numerical figures are used to write numbers more than 100.
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Find the abscissa on the curve x2=2y which is nearest
to a
point (4, 1).
The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
Given the equation x^2 = 2y.
The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:
To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].
Now we need to find the value of x that will minimize this expression.
We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.
Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T
he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
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Reading through a credit card disclosure (aka the Schumer Box), you see the APR for a specific card is set at 9.99% - 23.99%. Which statement is true?
One of the primary factors determining your card's A.P.R. is your credit score is "True". The correct answer is B.
Credit card issuers evaluate applicants' creditworthiness based on their credit scores, among other factors, and use this information to determine the interest rate they will be charged. Higher credit scores generally result in lower A.P.R.s, reflecting a lower risk profile.
However, it is important to note that the specific A.P.R. offered to an individual may also depend on other factors, such as the card's terms and conditions, the applicant's income, and the card issuer's policies. It is incorrect to assume that most cardholders pay the lowest rate listed when given a range of A.P.R.s, as individual circumstances and creditworthiness vary.
Additionally, higher A.P.R.s do not benefit cardholders, as they result in increased interest charges. The notion that A.P.R.s on credit cards are usually fixed and not adjusted is also incorrect, as A.P.R.s can be variable and subject to change based on various factors.
Therefore, the correct answer is B) One of the primary factors determining your card's A.P.R. is your credit score.
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Note: The question would be as
Reading through a credit card disclosure (aka the Schumer Box), you see the A.P.R. for a specific card is set at 9.99% -23.99%. Which of the following statements is probably TRUE?
a. When given a range of A.PR.s like this, you can assume most cardholders pay the lowest rate listed
b. One of the primary factors determining your card's A.P.R. is your credit score
c. With credit card A.PR.s, cardholders like higher A.P.R.s because they earn more
d. The A.PR. on credit cards is usually fixed so they won't be adjusted as long as you are a cardholder
Summer Storme is analyzing an investment. The expected one-year return on the investment is 20 percent. The probability distribution of possible returns is approximately normal with a standard deviation of 15 percent. a. What are the chances that the investment will result in a negative return? b. What is the probability that the return will be greater than 10 percent? 20 percent? 30 percent? 40 percent? 50 percent?
Answer:
suchh harddb
Step-by-step explanation:
0.00005 in standard form
Answer:
5× 10 to the power -5
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Find the sum. (−12) + (−6) + (−3) + (−7)
Answer:
-28
Step-by-step explanation:
Technically, you just have to subtract all of these negatives. This is an easier way to look at it...
-12-6-3-7 It's easier (for me) to subtract left to right.
-18-3-7
-21-7
-28
Hope this helped you!! Have a great day c:
A star system with more than 2 but less than a million stars. which type of star system is pictured?
The star system is pictured is open cluster
What is Open cluster?A type of star cluster known as an open cluster is composed of up to a few thousand stars that are around the same age and originated from the same massive molecular cloud. Within the Milky Way galaxy, more than 1,100 open clusters have been found, and it is believed that there are many more.
What is solar system?The Sun and the things that circle it make up the gravitationally bound solar system. It was created 4.6 billion years ago when a massive interstellar molecular cloud collapsed because to gravity. The Sun is the system's primary mass source, while Jupiter is home to the majority of the system's leftover mass.
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I understand that the question you are looking for is :
| Will mark brainliest | Which type of star system is pictured? |
A. globular cluster
B. open cluster
C. binary
Answer:
B
Step-by-step explanation:
open cluster
Maria list ten multiple of four starting with 4 George list ten multiple of seven starting with 7 with multiple is in both of their list
Answer:
1120
Step-by-step explanation:
10 4 4 7 multiply =1120 is the answer
For what value of k are the graphs of 12y = 9x + 8 and 4y = k(x + 4) parallel?
perpendicular? I HAVE THE ANSWER, just need step to step explanation on how to solve it (pls be clear, answers in pic)
Answer:
parallel: k = 3perpendicular: k = -16/3Step-by-step explanation:
You want to know the values of k that make the line 4y = k(x +4) either parallel or perpendicular to the line 12y = 9x +8.
ParallelThe slopes of parallel lines are the same. When the equation of a line is written in "y =" form, the slope is the coefficient of x. Here, the two equations written in that form are ...
y = k/4x +1y = 3/4x +2/3For parallel lines, we want to choose the value of k so that the slopes are equal:
k/4 = 3/4
k = 3 . . . . . . . . multiply by 4
PerpendicularThe slopes of perpendicular lines have a product of -1. This means we want to choose k so that ...
(k/4)(3/4) = -1 . . . . . the product of slopes k/r and 3/4 is -1
k = -16/3 . . . . . . . . . multiply by 16/3
__
Additional comment
The attached graph shows the original line (dashed red) and the parallel and perpendicular lines with their respective values of k.
Which set of number could represent the length of the sides of a right triangle
Step-by-step explanation:
all can come
better to take 1,2,3
because triangle is of only three sides and we can construct a triangle according to the angle which we want
Answer:
7,24,25
Step-by-step explanation:
i got it right. i may be a little too late. but thats the answer
To determine how American college students feel about commuting, 100 students at a private university were randomly chosen by selecting 50 men and 50 women to participate. They were asked how far they commute each day (in minutes) to campus.
The results of this survey are unreliable primarily because of
voluntary response bias
sampling bias
the absence of a control group
response bias
None of the above
The key reason why this investigation's findings are erroneous is sampling bias. In statistics, sampling bias refers to a bias during which a sample is constructed in a way that makes some members of the intended population less likely than others to be included.
A private university's 100 students, 50 men, and 50 women were randomly chosen to participate in a study on how American college students felt about commuting. They were questioned about their daily commuting distance (in minutes) to college. The key reason why this investigation's findings are erroneous is sampling bias.
When certain individuals of a population are consistently more likely to be chosen in a sample than others, this is known as sampling bias. In the medical sciences, it is also known as ascertainment bias. Because sampling bias jeopardizes external validity, particularly population validity, it restricts the generalizability of findings.
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5) through: (2, 4) and (4.-5)
What is the probability that a data value in a normal distribution is between a
z-score of -1.98 and a z-score of 1.11? Round your answer to the nearest
tenth of a percent.
A. 65.0%
B. 55.3%
C. 46.2%
D. 84.3%
Answer:
answer b.....plz follow me
A town has a population of 2.25 x 104 and grows at a rate of 5.1% every year. Which
equation represents the town's population after 2 years
Answer:
P=(2.25 x 10^4)(1 + 0.051)(1 +0.051)
Step-by-step explanation:
Two linearly independent solutions of the differential equation y" - 4y' + 4y = 0 are (Select the correct answer). ii) Write the general solution. a. y, re", y = * Ob. y =eº, y = xenºn | d. y = "", y = xe ey, = e. Yn = xe**
The given differential equation is y'' - 4y' + 4y = 0. To get two linearly independent solutions, we can use the characteristic equation method.
The characteristic equation for this differential equation is: r^2 - 4r + 4 = 0
This can be factored as (r - 2)^2 = 0. So, the root is r = 2 with multiplicity 2. Since the root has multiplicity 2, the two linearly independent solutions are: y1 = e^(2x) and y2 = x * e^(2x). So, the correct answer is d. y = e^(2x), y = x * e^(2x). To write the general solution of the differential equation, we can combine the linearly independent solutions with arbitrary constants C1 and C2: y(x) = C1 * e^(2x) + C2 * x * e^(2x)
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Codification and decodification Let F =22.. For n ≥ 1, consider the code C = {0^n, 1^n}, where
0 = 00...0. n2 veces. Show that C performs the singlet dimensioning and that, if n = 2m + 1 is odd, it is also a perfect code.
Given F=22.
For n ≥ 1, consider the code C = {0^n, 1^n}, where 0=00...0. n2 veces. We are required to prove that the given code C performs singlet dimensioning and if n=2m+1 is odd, then it is also a perfect code.
A code is a set of symbols or characters that can be arranged or combined to represent or convey information in a specific format or pattern. Codification refers to the process of converting data, information, or knowledge into codes or symbols. The main purpose of codification is to simplify the presentation, interpretation, and analysis of data. Decodification is the process of converting coded information or symbols back into data or information that can be understood or analyzed. The main purpose of decodification is to retrieve and interpret the encoded information from a given code. Now, let us prove that the given code C performs singlet dimensioning. To prove that the code C performs singlet dimensioning, we have to show that there is a unique decoding for every code word in C.
Let us consider a code word C∈C.
If C=0^n,
then the corresponding message is M=0^n.
If C=1^n,
then the corresponding message is M=1^n.
In both cases, there is only one possible message for each code word. Therefore, the code C performs singlet dimensioning. Now, let us prove that if n=2m+1 is odd, then the code C is a perfect code. To prove that the code C is a perfect code, we have to show that it is a singlet dimensioning code and that it meets the sphere-packing bound. Let us first show that the code C is a singlet dimensioning code. We have already shown that in the previous proof. Let us now show that the code C meets the sphere-packing bound. Let d(C) be the minimum distance of the code C. Since C is a singlet dimensioning code, we have d(C)=2. Let V_r be the volume of a ball of radius r in the n-dimensional Hamming space. Since the Hamming distance is the number of positions in which two n-bit strings differ, the number of balls of radius r that can be placed in the n-dimensional Hamming space is given by V_r = (nC_r)2^r. (Here, nC_r denotes the number of ways to choose r positions out of n.) If d(C)=2, then we can place only one code word in each ball of radius 1. Therefore, the maximum number of code words that can be placed in the n-dimensional Hamming space is given by N = V_1 = (nC_1)2 = 2n. We can now calculate the packing density of the code C as the ratio of the number of code words to the number of balls that can be placed in the Hamming space. This is given by δ(C) = (number of code words)/(number of balls) = 2/N = 2/2n = 1/2^(n-1).Therefore, the code C meets the sphere-packing bound, and it is a perfect code.
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Consider the solid bounded by 4x2+y2+z2=9, and z≥ sqrt(4x^2+y^2) with a constant density of 10 kg/m3 (a) Find the volume of the solid, (b) Find its centre of mass
According to the question (a) The volume of the solid is given by \(\(V = \iiint_D dV\)\) over the specified region. (b) The center of mass of the solid is determined by \(\(x_{\text{cm}} = \frac{1}{M} \iiint_D x \cdot dV\), \(y_{\text{cm}} = \frac{1}{M} \iiint_D y \cdot dV\), and \(z_{\text{cm}} = \frac{1}{M} \iiint_D z \cdot dV\)\), where \(\(M\)\) is the total mass of the solid.
(a) The volume of the solid can be found by integrating the given equation over the specified region:
\(\[V = \iiint_D dV\]\)
where \(\(D\)\) represents the region defined by \(\(4x^2 + y^2 + z^2 \leq 9\) and \(z \geq \sqrt{4x^2 + y^2}\)\).
(b) The center of mass of the solid can be found using the formulas:
\(\[x_{\text{cm}} = \frac{1}{M} \iiint_D x \cdot dV, \quad y_{\text{cm}} = \frac{1}{M} \iiint_D y \cdot dV, \quad z_{\text{cm}} = \frac{1}{M} \iiint_D z \cdot dV\]\)
where \(\(M\)\) represents the total mass of the solid, given by \(\(M = \rho \cdot V\), and \(\rho\)\) is the constant density.
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PLS HELP !!
What is cos 30°?
Answer:
E
Step-by-step explanation:
\(cos30 = \frac{ \sqrt{3} }{2} \)
how to find greatest common factor with variables and exponents
Answer:
Factoring Expressions With Exponents - Video & Lesson ...
To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables
Pls give brainliest
The greatest common factor (GCF) with variables and exponents is found by identifying the highest power of each variable that appears in the given expressions and choosing the one with the highest power. If a variable or exponent is not common to all the terms, it is not included in the GCF.
When finding the greatest common factor (GCF) with variables and exponents, we need to consider the highest power of each variable that appears in the given expressions. To find the GCF, we identify the common factors and choose the one with the highest power. If a variable or exponent is not common to all the terms, it is not included in the GCF.
Let's consider an example to illustrate this:
Given expressions: 2x^3y^2 and 4x^2y^3
To find the GCF, we look at the variables and exponents:
The variable 'x' appears in both expressions with exponents 3 and 2. The highest power of 'x' is 2.The variable 'y' appears in both expressions with exponents 2 and 3. The highest power of 'y' is 2.Therefore, the GCF is 2xy^2, as it is the highest power common to both expressions.
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Write and solve an equation for x:
(X + 20)
(9x - 10)
The equation (x + 20)(9x - 10) = 0 has the following two solutions:
x = -20 and x = 10/9.What is the value of x?Assuming the given algebraic expressions are equated to zero.
(x + 20)(9x - 10) = 0
To find the values of x that satisfy this equation, we use the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.
Setting each factor equal to zero, we have:
X + 20 = 0 or 9x - 10 = 0
Solving the first equation for X:
X = -20
Solving the second equation for x:
9x - 10 = 0
9x = 10
x = 10/9
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layla bought a pair of shoes online for $58. she used a coupon code to get a 30% discount. the website also applied a 20% processing fee to the price after the discount. how much was the processing fee? round to the nearest cent.
Answer: $48.72
Step-by-step explanation:
Based on the given conditions: 58*(20%+1)*(1-30%)
Calculate: 58*1.2*0.7
Round to the nearest cent: $48.72
(an astrix (*) means to multiply)
You roll a number cube and flip a coin. Find the probability of rolling a 3 and flipping tails.
Answer:
1/6*1/2= 1/12
Answer is 1/12
Step-by-step explanation: hope this helps (:
solve : 30z + 20 = 480
with steps
FIND THE SLOPE FROM THE TABLE
a.
b.
c.
d.
Answer:
D.3
Step-by-step explanation:
The line goes up 6 so that is the numerator of the fraction. And then the line goes over 2 to get to the point so that is your denominator of your fraction.
6/2 simplified is 3
slope is 3
Answer: D
Step-by-step explanation:
So to find out the slope you use the formula vertical/horizontal cubes and then you get the answer.
I also just learned this a few days ago.
I hope this helps
The length of a rectangle is twice the width. The perimeter is 120 feet more than the width. Find the rectangle’s dimensions
Answer:
2L + 2w = 120
L = 2w
---
2L + 2w = 120
2(2w) + 2w = 120
4w + 2w = 120
6w = 120
---
w = 20 ft
L = 40 ft
Step-by-step explanation:
The rectangle’s dimensions are 40 feet in length and 20 feet in width.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that the length of a rectangle is twice the width. The perimeter is 120 feet more than the width.
As per the given question, the required solution would be :
2L + 2w = 120 ....(i)
L = 2W ....(ii)
Substitute the value of L = 2W in the equation (i), and solve for W
2L + 2W = 120
2(2W) + 2W = 120
4W + 2W = 120
6W = 120
W = 20
Substitute the value of W = 20 in equation (ii), and solve for W
L = 2(20)
L = 40
Therefore, the rectangle’s dimensions are 40 feet in length and 20 feet in width.
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what is -5x-x?
thank you!
Answer:
-5x-x=-6x
hope this helps you
Answer:
-6x
Step-by-step explanation:
-5x-x
add like terms
-6x
CAN SOMEONE TELL ME WHAT THE SLOPE IS
Answer:
\(m=\frac{2}{3}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-2, 0)
Point (1, 2)
Step 2: Find slope m
Substitute: \(m=\frac{2-0}{1+2}\)Subtract/Add: \(m=\frac{2}{3}\)