Answer:
-6 + 3x = -9

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And 6 to both sides:

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3x = -3

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Divide by 3 on both sides:

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x = -1

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**Answer: x = -1**

-----------------------------

-----------------------------

And 6 to both sides:

-----------------------------

3x = -3

-----------------------------

Divide by 3 on both sides:

-----------------------------

x = -1

-----------------------------

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A store sells ice cream with assorted toppings. They charge $$$3.00 for an ice cream plus $$50 cents per ounce of toppings.How much does an ice cream cost with $$11 ounces of toppings?

The average starting salary of this year's vocational school graduates is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of the graduates

Solve for XHello, my daughter needs help with Trigonometry. I was never very gifted at math, and cannot remember too much about this subject. Please Help!

The question is in the pic pls help

The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.92. Of the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.01. a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present

The average starting salary of this year's vocational school graduates is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of the graduates

Solve for XHello, my daughter needs help with Trigonometry. I was never very gifted at math, and cannot remember too much about this subject. Please Help!

The question is in the pic pls help

The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.92. Of the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.01. a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present

A triangle is 180 if two angles equal to eachother and the other angle is these two combines the angels will be 45 45 90

45+45=90

45+45=90

If two lines do not intersect, then

they are parallel.

If it is not intersect they are not parallel

**Answer:The picture did not load**

**Step-by-step explanation:Sorry**

**Answer:**

−2x^2+ 19x−24

**Step-by-step explanation:**

-2 x^2 + 19 x -24

Is the answer

Is the answer

**Answer:**

the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

**Step-by-step explanation:**

Since the random variable X= length of component chosen at random , is normally distributed, we can define the following standardized normal variable Z:

Z= (X- μ)/σ

where μ= mean of X , σ= standard deviation of X

for a length between 4.98 cm and 5.02 cm , then

Z₁= (X₁- μ)/σ = (4.98 cm - 5 cm)/0.02 cm = -1

Z₂= (X₂- μ)/σ = (5.02 cm - 5 cm)/0.02 cm = 1

therefore the probability that the length is between 4.98 cm and 5.02 cm is

P( 4.98 cm ≤X≤5.02 cm)=P( -1 ≤Z≤ 1) = P(Z≤1) - P(Z≤-1)

from standard normal distribution tables we find that

P( 4.98 cm ≤X≤5.02 cm) = P(Z≤1) - P(Z≤-1) = 0.841 - 0.159 = 0.682 (68.2%)

therefore the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

**Answer:**

**Step-by-step explanation:**

(a) If the state space is taken as , the probability of transitioning from one state, say (XY) to another state, say (XZ) will be the same as the probability of Y losing out to X, because if X and Y were playing and Y loses to X, then X and Z will play in the next match. This probability is constant with time, as mentioned in the question. Hence, the probabilities of moving from one state to another are constant over time. Hence, the Markov chain is time-homogeneous.

(b) The state transition matrix will be:

where as stated in part (b) above, the rows of the matrix state the probability of transitioning from one of the states (in that order) at time n and the columns of the matrix state the probability of transitioning to one of the states (in the same order) at time n+1.

Consider the entries in the matrix. For example, if players X and Y are playing at time n (row 1), then X beats Y with probability , then since Y is the loser, he sits out and X plays with Z (column 2) at the next time step. Hence, P(1, 2) = . P(1, 1) = 0 because if X and Y are playing, one of them will be a loser and thus X and Y both together will not play at the next time step. , because if X and Y are playing, and Y beats X, the probability of which is, then Y and Z play each other at the next time step. Similarly,, because if X and Z are playing and X beats Z with probability, then X plays Y at the next time step.

(c) At equilibrium,

i.e., the steady state distribution v of the Markov Chain is such that after applying the transition probabilities (i.e., multiplying by the matrix P), we get back the same steady state distribution v. The Eigenvalues of the matrix P are found below:

The solutions are

These are the eigenvalues of P.

The sum of all the rows of the matrix is equal to 0 when Hence, one of the eigenvectors is :

The other eigenvectors can be found using Gaussian elimination:

Hence, we can write:

, where

and

After n time steps, the distribution of states is:

Let n be very large, say n = 1000 (steady state) and let v0 = [0.333 0.333 0.333] be the initial state. then,

Hence,

Now, it can be verified that