Find the equilibrium vector for the transition matrix 0.47 0.19 0.34 0 0.45 0.55 0 0 1 The equilibrium vector is (Type an integer or decimaldor each matrix element)

Answer:

Your answer is attached because I could not not write it in text form.

The addition law is particularly useful when calculating the probability of the union of two events. It allows us to determine the probability of either event A or event B occurring.

This law provides a straightforward method for calculating probabilities in situations where we want to know the likelihood of at least one of the events happening.

The addition law, also known as the sum rule, states that the probability of the union of two events A and B is given by the sum of their individual probabilities minus the probability of their intersection. Mathematically, this can be expressed as P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

When we are interested in computing the probability of the union of two events, the addition law allows us to combine the probabilities of the individual events to obtain the overall probability of at least one of them occurring. It is particularly helpful in situations where the events are not mutually exclusive, meaning that they can occur together or independently.

In contrast, when calculating the probability of the intersection of two events or dealing with conditional events, other rules such as the multiplication rule and conditional probability formulas are more appropriate.

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Answer:

1/10 or 0.10 or 10%

Step-by-step explanation:

Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.

Hope this helps! :)

Answer:

Step-by-step explanation:

15.3

+1.285

Answer = 16.585

Answer:

If i recall Maria collected 34 cicadas

Answer:

17 Cicadas

Step-by-step explanation:

62 - 28 divided by two will give us the amount Maria collected.

62 - 28 = 34

34/2 = 17

Maria had 17 cicadas.

How to verify:

17 + 28 + 17 Should equal 62

34 + 28 = 62

Karen is wrong as she wrote the second angle as (x - 10) instead of

(x + 10).

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is that the sum of the measures of the three interior angles of a triangle is 180°. One angle is 10 more than the first angle, while the third angle is 20 more than thrice the first.

No, Karen is completely wrong. She wrote the second angle as (x - 10). However, it is given that one angle is 10 more than the first angle. This means that the second angle is (x + 10).

Therefore, Karen is completely wrong as she wrote the second angle as (x - 10) instead of (x + 10).

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Answer:

Step-by-step explanation:

g(3)= (3+1)/(3-1)= 4/2= 2

f(2)= 3(2)-7 = 6 - 7 = -1

answer is a. -1

Answer:true

Step-by-step explanation:

The top line segment (12) is twice as long as the original, smaller (6), segment

The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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The power set in roster notation requires listing all the possible subsets of a set, including the empty set and the set itself. The number of subsets in a power set can be calculated using the formula 2^n, where n is the number of elements in the original set.

The power set of a set is the set of all its subsets, including the empty set and the set itself. To write out the power set in roster notation, we need to list all the possible subsets of a given set.
(a) The set {a} has two subsets: {a} and {}. Therefore, the power set of {a} in roster notation is {{}, {a}}.
(b) The set {1,2} has four subsets: {1,2}, {1}, {2}, and {}. Therefore, the power set of {1,2} in roster notation is {{}, {1}, {2}, {1,2}}.
It is important to note that the cardinality (number of elements) of the power set of a set with n elements is 2^n. For example, the set {1,2} has two elements, so its power set has 2^2 = 4 subsets. Similarly, the set {a} has one element, so its power set has 2^1 = 2 subsets.
In conclusion, writing out the power set in roster notation requires listing all the possible subsets of a set, including the empty set and the set itself. The number of subsets in a power set can be calculated using the formula 2^n, where n is the number of elements in the original set.

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Answer:

- 5

Step-by-step explanation:

let the number be n then double is 2n , so

2n + (- 6) = - 16

2n - 6 = - 16 ( add 6 to both sides )

2n = - 10 ( divide both sides by 2 )

n = - 5

The number is - 5

Answer:

AC

Step-by-step explanation:

Answer:

AC

Step-by-step explanation:

It will be AC :))

hope this helps

6.29117647059

This is the answer

Answer: 6.29117647059

Step-by-step explanation:

divide the problem :)

Answer:

By saying "paying the same rate"

I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.

If so then there are a couple of factors at play.

First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.

The maxhelper function takes a tuple of a list lst and the largest element seen so far, and recursively searches the list for a larger element. If the list is empty, it returns the largest element seen so far.

Here is an implementation of the max function in OCaml that finds the largest element of a list of integers:

let rec maxhelper (lst, largest) = match lst with

 | [] -> largest

 | hd :: tl -> if hd > largest then maxhelper(tl, hd) else maxhelper(tl, largest)

let max lst = maxhelper(List.tl lst, List.hd lst)

If the head of the list is larger than the largest element seen so far, it calls maxhelper with the tail of the list and the head as the new largest element. Otherwise, it calls maxhelper with the tail of the list and the largest element seen so far.

The max function simply calls maxhelper with the tail of the input list and the head as the largest element seen so far. Note that this function assumes that the input list is non-empty, so it may not behave well if an empty list is passed in.

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Answer:

not positive or negative

Step-by-step explanation:

It is 0 but i would say it is positive nor negative :)

0, It not really postive or negative

37 + -37 = 0 =

Neither negative nor positive

:/

Answer:

y= -2x + 5

Step-by-step explanation:

Parallel equations share the same slope so, you need to take the x coordinate and multiply it by the slope which is -2, and you should get 0. To get from 0 to 5 we need to add 5, so 5 is your y-intercept.

(a) About 38.21% of students at UPW University have a GPA of at least 3.

(b) Approximately 58.57% of students' GPAs are between 2 and 3.3.

a) To find the proportion of students with a GPA of at least 3, we use the z-score formula: z = (X - μ) / σ. Here, X = 3, μ = 2.88, and σ = 0.6. So, z = (3 - 2.88) / 0.6 = 0.2.

Using a z-table, we find that the proportion of students with a z-score below 0.2 is 0.5793. Since we want the proportion of students with a GPA above 3, we subtract this value from 1: 1 - 0.5793 = 0.4207, or about 38.21%.

b) For the proportion of students with a GPA between 2 and 3.3, we first calculate the z-scores for both values. For X = 2, z = (2 - 2.88) / 0.6 = -1.4667. For X = 3.3, z = (3.3 - 2.88) / 0.6 = 0.7.

Using the z-table, we find the proportions for z = -1.4667 and z = 0.7 as 0.0714 and 0.7580, respectively. Subtracting the lower proportion from the higher one gives 0.7580 - 0.0714 = 0.6866, or about 58.57%.

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The composite function fg(x) is a linear function​ by the proof shown below

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x - 1

g(x) = -x + 3

The above functions are linear functions

This means that the function fg(x) will also be a linear function​

To prove this, we have

f(g(x)) = 2(g(x)) - 1

substitute the known values in the above equation, so, we have the following representation

f(g(x)) = 2(-x + 3) - 1

So, we have

f(g(x)) = -2x - 7

Hence, the function is a linear function

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The list of potential rational zeros for the given polynomial f(x) = 5x⁴ - 7x - 4 is:

±1, ±1/5, ±2, ±2/5, ±4, ±4/5

To find the potential rational zeros of the given polynomial function f(x) = 5x⁴ - 7x - 4 using the Rational Zeros Theorem, we need to consider all possible ratios of factors of the constant term (-4) to factors of the leading coefficient (5).

The Rational Zeros Theorem states that if a polynomial function has a rational zero p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, then p must be a factor of the constant term (-4) and q must be a factor of the leading coefficient (5).

The constant term (-4) has factors ±1, ±2, and ±4, and the leading coefficient (5) has factors ±1 and ±5.

Therefore, the potential rational zeros are obtained by taking all possible combinations of the factors:

±1/1, ±1/5, ±2/1, ±2/5, ±4/1, ±4/5

Simplifying the fractions, we get:

±1, ±1/5, ±2, ±2/5, ±4, ±4/5

So, the list of potential rational zeros for the given polynomial f(x) = 5x⁴ - 7x - 4 is:

±1, ±1/5, ±2, ±2/5, ±4, ±4/5

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question is equaled to 180 degrees

Hi there!

\(\large\boxed{x = 38.5}}\)

To solve, we can use right triangle trig.

We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:

tan (A) = O / A

tan (33) = 25 / x

Solve:

x · tan(33) = 25

x = 38.49 ≈ 38.5

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer:

Hey there!

That would be 50,020,000, and choice B would be correct.

Let me know if this helps :)

When using the least-squares line for prediction, the results are generally more reliable for interpolation rather than extrapolation. Interpolation refers to predicting values within the range of the data used to create the least-squares line, while extrapolation involves predicting values beyond that range. The reliability of extrapolation decreases because it assumes that the relationship between the variables continues outside the observed data, which may not always be accurate due to potential unforeseen factors or changes in the underlying relationship.

The least-squares line is a method used to find the best-fit line that minimizes the sum of the squared residuals between the observed data points and the predicted values on the line. It is commonly used for linear regression analysis to make predictions based on the relationship between two variables.

When using the least-squares line for interpolation, the predicted values are within the range of the data used to create the line. In this scenario, the least-squares line provides a reliable estimate because it is based on observed data points and their relationship. Interpolation assumes that the underlying relationship between the variables remains relatively consistent within the observed range.

However, when it comes to extrapolation, the reliability of the results decreases. Extrapolation involves predicting values beyond the observed range of the data. While it is possible to extend the least-squares line to make predictions, it assumes that the relationship between the variables continues in the same manner outside the observed range. This assumption may not always hold true due to potential unforeseen factors or changes in the relationship between the variables.

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Answer:

95tan35°

Step-by-step explanation:

Find the diagram attached

Given the following

Adjacent = 95m

Opposite = height of the tower

Angle of elevation  = 35degrees

Using SOH CAH TOA

tan theta = opp/adj

Tan 35 = h/95

Cross multiply

95 * tan 35 = h

95tan35 = h

Swap

h = 95tan35

Hence then the height of the tower in terms of trigonometric ratios is 95tan35°

Complete question :

Answer:

(-5) * (20) * (3)

Step-by-step explanation:

Diving 5 feets deeper = descent = negative 5 Feets

Each time instrument is checked = (60/3) = depth of 20 feets

Number of times instrument is checked = 3

Hence, maximum depth :

Diving 5 feets deeper * Each time instrument is checked = depth of 20 feets * Number of times instrument is checked

(-5) * (20) * (3) = - 60

Answer:

c

Step-by-step explanation: