Two gamblers play the following game. A fair coin is flipped; if the outcome is Heads, player A pays player B $1, and the if the outcome is Tails, player B pays player A $1. The game is continued until one of the players goes broke. From that point onwards, the two players' fortunes remain constant in time. Suppose that initially (n = 0), A has $1 and B has $2; and let Xn be A's fortune at time n. (a) Find the transition probability matrix P of the Markov chain with the set of states{Xn, n > 0}. (b) By considering all allowable transitions in each case, show that P11(2n) = 4-N = P22 (2n) P10(2n) = {(1 – 4+") = P23(2n).

Answer:

70.38 cm

Step-by-step explanation:

π = 3.14

Area of a circle = πr^2

394.38 = πr^2

125.598726 = r^2

r = 11.2070837 cm

Circumference = 2πr

C = 70.3804856 cm

If we pick 23 fruits at random, then 7% of the time, their mean weight will be greater than 210.8 grams.

To solve this problem, we need to use the Central Limit Theorem, which states that the sampling distribution of the means of a random sample from any population will be approximately normally distributed if the sample size is large enough.

In this case, since we are picking 23 fruits at random, we can assume that the sampling distribution of the mean weight of the fruits will be approximately normal with a mean of 204 grams and a standard deviation of 16/sqrt(23) grams.

To find the weight of the fruits such that their mean weight will be greater than a certain amount 7% of the time, we need to find the z-score associated with that probability using a standard normal distribution table. The z-score can be calculated as:

z = invNorm(0.93) = 1.475

where invNorm is the inverse normal function. This means that the weight of the fruits such that their mean weight will be greater than this amount 7% of the time is:

x = 204 + 1.475*(16/sqrt(23)) = 210.8 grams (rounded to one decimal place)

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On solving the provided question, we can say that - the interest ant the end of the time will be 4500

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here,

P = 100000

R = 4.5

T = 1

SI = PRT/100

SI = 100000 X 4.5 X 1/100 = 4500

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The probability that bin 1 contains exactly 3 balls would be 0.015. Probabilities can be expressed as fractions, decimals, or percentages, and they can be used to make predictions or to quantify uncertainty.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. For example, if the probability of it raining tomorrow is 0.3, it means that there is a 30% chance of it raining tomorrow. In addition, probability theory is a branch of mathematics that studies the probability of events, and it plays an important role in many areas such as statistics, finance, and science.

The probability that bin 1 contains exactly 3 balls out of the 10 balls placed is given by the binomial probability mass function with parameters n = 10 and k = 3, and probability of success p = 1/20. Therefore, the probability is given by:

(10 choose 3) * \((1/20)^3\) * \((19/20)^7\) = 120 * (1/8000) * \((19/20)^7\) = 120/8000 = 0.015

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Answer: A

Step-by-step explanation:

A.

It makes an AA similarity(both share 1 angle, and both have right angles)

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

The table has a constant of proportionality of 0.322

The table that completes the question is added as an attachment

On the table, we have the following points

(x, y) = (9.3, 3)

To determine the constant of proportionality, remove the origin

So, we have

(x, y) = (9.3, 3)

The constant of proportionality of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have

k = 3/9.3

Evaluate the quotient

So, we have

k = 0.322

Hence, the constant of proportionality of the table is 0.322

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Answer:

work shown and pictured

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

Each term in pattern B is 9 less than the corresponding term in pattern A.

Buy the land !all angles will be greater than 30 °

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided shape can be decomposed into a group of triangles, trigonometry can be found throughout all of geometry.

cos x = 500²+800²-900²/-2(800)(900)

x = \(cos^{-1}\)(+1200000/+1440000)

=336°

Buy the land !all angles will be greater than 30 °

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The score that separates the top 20% of the population from the bottom 80% is = (-0.84 * 95) + 500 = 417.8, which is rounded to the nearest whole number to be 418.

Answer:

696, 550, 418

As the scores of the College Boards are close to being normally distributed and are scored so as to yield a mean of 500 and a standard deviation of 95. Round your answers to the nearest whole numbers.5(a). An exclusive club wishes to invite those scoring in the top 1% on the College Boards to join.

What score is required to be invited to join the club?The area under the normal curve to the left of the top 1% (i.e., the area between the mean and the top 1%) is 0.01. The z-score that corresponds to an area of 0.01 is found to be 2.33 from the normal distribution table.Therefore, the score required to be invited to join the club is = (2.33 * 95) + 500 = 696.35, which is rounded to the nearest whole number to be 696.5(b).

What score separates the top 70% of the population from the bottom 30%?

The area under the normal curve to the left of the score that separates the top 70% from the bottom 30% (i.e., the area between the mean and that score) is 0.70. By using the normal distribution table, we can find that the z-score that corresponds to an area of 0.70 is 0.52.

Therefore, the score that separates the top 70% of the population from the bottom 30% is = (0.52 * 95) + 500 = 550.4, which is rounded to the nearest whole number to be 550.5(c).

The area under the normal curve to the left of the score that separates the top 20% from the bottom 80% (i.e., the area between the mean and that score) is 0.20. By using the normal distribution table, we can find that the z-score that corresponds to an area of 0.20 is -0.84.

Therefore, the score that separates the top 20% of the population from the bottom 80% is = (-0.84 * 95) + 500 = 417.8, which is rounded to the nearest whole number to be 418.

Answer:

696, 550, 418

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Answer:

2^7⋅3^−5⋅9^4

Step-by-step explanation:

The correct answer of this expression is (b) g>-6.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

a formula expression with the first part signifying a mathematical item and the second part signifying a statement about mathematical objects

given that;

-3 (g + 5) > 3

divide both side by -3, we get

⇒ g + 5 > 3/-3

⇒ g + 5 > -1

subtract both side by 5

⇒ g > -1 -5

⇒ g > -6

so the correct answer is g > -6

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we can graph the solution on the number line. The solution will be the intersection of the two inequalities, which is u >= 5. The solution to the compound inequality is u >= 5.

To solve the compound inequality, we need to isolate the variable on one side of the inequality.

For the first inequality, 4u + 5 > 13, we can subtract 5 from both sides to get:
4u > 8

Then, we can divide both sides by 4 to get:
u > 2

For the second inequality, 2u + 6 >= 16, we can subtract 6 from both sides to get:
2u >= 10

Then, we can divide both sides by 2 to get:
u >= 5

Now, we can graph the solution on the number line. The solution will be the intersection of the two inequalities, which is u >= 5.

On the number line, we can draw a closed circle at 5 and shade to the right to indicate that the solution includes 5 and all numbers greater than 5.

The solution to the compound inequality is u >= 5.

Here is the graph of the solution on the number line:

    0  1  2  3  4  5  6  7  8  9  10

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Answer:

B

Step-by-step explanation:

I cannot see option D but regardless, C is a function for the following reasons

A function y = f(x) is a relationship in x such that f(x)  has only 1 value for a value of x.

In A, we see that for x = -1 we have y = 2 and y = 4 for a single value of x = -1

That alone is sufficient to dismiss this as a function. If that wasn't bad enough you see that y = -3 and -4 for x = 2

In C we see the same problem
For x = 5 there are two value of y = -3 and -2
So we can disregard C

In B we can see a definite pattern
Between x = -2 and x = 0 we see that y increases by 1 unit for every increase of 1 unit in x. This is a linear relationship with a slope of + 1

Between x = 0 and x = +2, for every increase of 1 unit in the x-value, the y-value decreases by 1 unit. This is also a linear relationship but with a slope of -1

In particular this is what is known as a piecewise function. Its function expression is different for different intervals of x value

It can be expressed as follows
f(x) =    x + 2 for -2 ≤ x ≤ 0
     =   -x + 2  for 0 ≤ x ≤ 2

Answer:

prob a

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

The slope is negative

Answer:its d

Step-by-step explanation: trust

Answer:

m=3

Step-by-step explanation:

Answer:

hola grandma said holla

Answer:

1. The degree is 4

2. x^3 - 4x =0

3. x-1/2=0        x-2/3=0

Answer:

hope it helps hehe

im Portuges

:))

1.4

x-1/2=0

Answer: 180 degrees

Step-by-step explanation:

If there are two parallel lines such as we could see in the problem, you can basically carry some angles to the other corners if these corners show the same direction.

In this case, you can carry "a" angle to the corner which is at the top of the "b" angle. Then, you can notice that a and b angles are complementary to 180 degrees for each other. So, this is the answer.

Note: Actually, you can also realize that these two corners at the intersections of the lines should have the same angle otherwise there would be no parallelism.

The line integral ∫C xey dx on the arc of the curve x = ey from (1, 0) to (e^9, 9) is (1/3)(e^27 - 1).

Hi! I'd be happy to help you evaluate the line integral on the given curve. To evaluate the line integral ∫C xey dx, where C is the arc of the curve x = ey from (1, 0) to (e^9, 9), follow these steps:

1. Parameterize the curve: Since x = ey, let y = t, so x = e^t. Thus, the parameterization of the curve is r(t) = (e^t, t), with t ranging from 0 to 9.

2. Compute the derivative of the parameterization: dr/dt = (de^t/dt, dt/dt) = (e^t, 1).

3. Substitute the parameterization into the integrand: xey = (e^t)(e^t) = e^(2t).

4. Compute the dot product of the integrand and dr/dt: (e^(2t)) * (e^t, 1) = e^(3t).

5. Integrate the dot product with respect to t from 0 to 9: ∫(e^(3t)) dt from t = 0 to t = 9.

6. Evaluate the integral: [1/3 * e^(3t)] from t = 0 to t = 9 = [1/3 * e^(27)] - [1/3 * e^0] = (1/3)(e^27 - 1).

So, the line integral ∫C xey dx on the arc of the curve x = ey from (1, 0) to (e^9, 9) is (1/3)(e^27 - 1).

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Answer:

5c^2+2cd-2d^2-15

Step-by-step explanation:

Hello, to find the perimeter of any shape, you just add all the side together. In this picture, you would add all the sides up like this:

4c^2+4cd+12+-5d^2-5cd+2+c^2-d^2+1+3cd+4d^2-30

Then, combine like terms (add all of the numbers with the certain variable together) and you would get the answer which is:

5c^2+2cd-2d^2-15

Answer:

70+5+0.8+0.05+0.004

Step-by-step explanation:

Answer:

2/9 obvi

Step-by-step explanation:

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.