Consider the situation where the maximum temperature in degrees Farenheit for the seven successive days in a certain week is the vector random variable, (T1,..., 77), where T₁ ~ N(75,0² = 4), Tj+1=14+0.87, +3Xj, j = 1,...6, where X₁,..., X6 i.i.d. U[-1,1]. A weather derivative pays $100 if there are two or more days with maximum temperatures below 70 degrees. Using Monte Carlo simulation com- pute the fair price of this derivative with n= 105 sample paths. Ignore the time value of money for a week. [Hint: Generate the sample temperature paths using the iterative formula step by step. Create a matrix to store sample temperature paths using command "ma- trix(NA,nrow-n,ncol=7)", then fill in each column (each day) of the sample paths. Think about how to write the code to check the number of days with maximum temperature below 70. The option price is estimated using the sample mean of payoffs.]

Answer:

40   mark Brainliest please

Step-by-step explanation:

15/40

Let the missing number be x .

Then :-

\( \frac{3}{8} = \frac{15}{x} \)

\( 3 \times x = 8 \times 15\)

\(3x = 120\)

\(x = \frac{120}{3} \)

\(x = 40\)

The missing number is 40 .

Let us check it by doing cross multiplication :-

\(3 \times 40 = 15 \times 8\)

\(120 = 120\)

Hence proved the missing number is 40 .

\(therefore \: , \frac{3}{8} = \frac{15}{40} \)

Answer:

To determine whether the given triangle is a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's label the sides of the triangle as follows:

side a = 40 inches

side b = 75 inches

side c = 85 inches (the longest side)

Now we can apply the Pythagorean theorem:

c^2 = a^2 + b^2

85^2 = 40^2 + 75^2

7225 = 1600 + 5625

7225 = 7225

Since the equation is true, we can conclude that the given triangle is a right triangle.

Answer: yes

Step-by-step explanation:

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.

a and b are the legs of the right triangle.

40²+75²=85²

1600+5625=7225

7225=722

Hey there!

4x - 2 * (3x - 2) + 3x

= 4x - 2(3x - 2) + 3x

= 4x - 2(3x) - 2(-2) + 3x

= 4x - 6x + 4 + 3x

= -2x + 4 + 3x

= 1x + 4

= x + 4

Therefore, your answer is: x + 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The product of (4x + 7) and (3x - 8) is 12x² + 7x - 56.

WHAT IS BOX METHOD ?

The box method, also known as the grid method, is a visual method used to multiply two numbers or two binomials. It involves creating a grid or box and filling it in with the products of the digits in each row and column. The method works for both single-digit and multi-digit numbers.

To use the box method for multiplying two numbers, we draw a box with two rows and two columns. We write one number along the top row and the other number along the left column. Then, we multiply the digits in each row and column and write the products in the corresponding cell of the box. Finally, we add the numbers in each cell of the box to get the product of the two numbers.

The box method can be used to multiply two binomials, such as (4x + 7) and (3x - 8). To use the box method, we draw a box with four cells, and we write the two binomials along the top and left sides of the box, like this:

     |  4x  |  7

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

 3x  |      |

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

    |      |

Then, we fill in the four cells of the box by multiplying the corresponding terms. For example, the top-left cell is filled by multiplying 4x and 3x, which gives 12x². The other cells are filled in a similar way:

     |  4x  |  7

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

 3x  | 12x² | 28x

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

    | -21x | -56

Next, we combine the terms in each row and column of the box, and write the final answer as the sum of these terms:

12x² + 28x - 21x - 56

Simplifying this expression gives:

12x² + 7x - 56

Therefore, the product of (4x + 7) and (3x - 8) is 12x² + 7x - 56.

To know more about binomials visit :-

https://brainly.com/question/25566343

#SPJ1

Answer:

Step-by-step explanation:

From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary

========================================================

Explanation:

The drawing is shown below.

Notice that 23 + 67 = 90, or you could say 90-67 = 23.

Use the tangent ratio to find x.

tan(angle) = opposite/adjacent

tan(23) = x/903

x = 903*tan(23)

x = 383.300759 approximately

x = 383.30

part a: In order to determine and interpret the least squares regression line (LSRL), you need to have a set of data points and perform regression analysis.

The LSRL is a line that best fits the data points and represents the relationship between two variables. It is commonly used to predict or estimate values based on the given data.

To determine the LSRL, you will need to calculate the slope and the y-intercept of the line. The slope (m) represents the rate of change of the dependent variable for a one-unit increase in the independent variable.

The y-intercept (b) represents the value of the dependent variable when the independent variable is equal to zero.

Once you have determined the LSRL equation in the form of y = mx + b, you can interpret it.

For example, if the LSRL equation is y = 2x + 3, it means that for every one unit increase in the independent variable, the dependent variable is expected to increase by 2 units.

The y-intercept of 3 indicates that when the independent variable is zero, the dependent variable is expected to be 3.

part b: To predict the percent of children living in single-parent homes in 1991 for state 14, we can use the LSRL equation.

First, substitute the known value of the independent variable (1985) into the equation and solve for the dependent variable (percent of children living in single-parent homes). Let's say the LSRL equation is y = 0.5x + 10.

In this case, x represents the year and y represents the percent of children living in single-parent homes. So, when x is 1985, we can substitute it into the equation:

y = 0.5 * 1985 + 10
y = 993.5 + 10
y ≈ 1003.5

Therefore, the predicted percent of children living in single-parent homes in 1991 for state 14 would be approximately 1003.5 percent.

part c: To calculate the residual for state 14, we need to compare the observed percent of children living in single-parent homes in 1991 (21.5 percent) with the predicted value we obtained in part b (1003.5 percent).

The residual is calculated by subtracting the predicted value from the observed value:

Residual = Observed value - Predicted value
Residual = 21.5 - 1003.5
Residual ≈ -982

The negative value of the residual indicates that the observed value is significantly lower than the predicted value.

In other words, the actual percent of children living in single-parent homes in state 14 in 1991 is much lower than what was predicted based on the LSRL equation and the data from 1985.



To know more about LSRL refer here:

https://brainly.com/question/33424090

#SPJ11

Answer:

567 square mm

because 27*7 is 189 an times 3 because each side has 3 sides so it equals to 567 square mm! :)

Step-by-step explanation:

BRAINLIEST THAT BOOM!!!!!!!!!

Answer:

roast beef

Step-by-step explanation:

you change the fraction ham changes to 2 and 5/20 turkey changes to 1 and 4/20 and roast beef changes to 15/20 roast beef is the most

The categories of the ordered pairs are

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

f = {(3, -4). (6, 5), (-4,3), (5,7)}

g = {(-4,8), (5,-3), (-3,-4),(7, 4)}

In the above, we have

[f . g](x) = f(g(x))

So, we have

[f . g](x) = f(g(6))

This gives

[f . g](x) = f(g(6))

Next, we have

[g . f](x) = g(f(x))

So, we have

[g . f](6) = g(f(6))

[g . f](6) = g(5)

[g . f](6) = -3

This means that

(6, -3) = [g . f](x)

Next, we have

[f . g](-3) = f(g(-3))

This gives

[f . g](-3) = f(-4) = 3

This means that

(-3, 3) = [f . g](x)

Next, we have

[f . g](7) = f(g(7))

This gives

[g . f](7) = f(g(7)) = f(4)

[g . f](7) = Neither

Next, we have

[f . g](5) = f(g(5)) = f(-3) =

[g . f](5) = g(f(5)) = g(-3) = -4 = Neither

Read more about composite functions at

https://brainly.com/question/10687170

#SPJ1

Answer:

100 of the 20$ tickets, and 60 of the 35$ tickets

Step-by-step explanation:

20*x + 35*y = 4100

x + y = 160

That means x = 160 - y, put this into the first equation

20(160 - y) + 35y = 4100

3200 - 20y + 35y = 4100

15y + 3200 = 4100

15y = 900

y = 60

Put y = 60 into the second equation and

x + 60 = 160

x = 100

y = 60, x = 100

Double check that this works for both equations to make sure its right

20 * 100 + 35 * 60= 4100

2000 + 2100 = 4100 /Correct

100 + 60 = 160 /Correct

Answer:

Step-by-step explanation:

The graph is that of the basic absolute value function y = |x|, except that the vertex (0, 0) has been translated 4 units to the right and 7 units down.

We need to find the probability of exactly three successes in six trials of a binomial experiment. Probability of success 50% (no success is 50%).

To find this probability, we need to use the following formula for Bernoulli Trials (or Binomial Experiment):

The combinations are given by:

Then, we have:

Thus, the probability of exactly three successes in six trials of a binomial experiment (which the probability of success is 50%) is 0.0625.

Rounding to the nearest tenth is about p = 0.1 (1/10) or 10%.

The Sampling technique used in the given scenario is random sampling technique.

There are four main types of this sampling method:

In the sampling method known as random sampling, each sample has an equal chance of being chosen. The purpose of a randomly chosen sample is to fairly represent the total population. for example-A straightforward random sample might be 25 names chosen at random from a pool of 250 employees. Since every employee has same chance of being chosen, the sample in this case is random and the population in this case is all 250 employees.

To know more about random sampling visit to:

https://brainly.com/question/13219833

#SPJ1

Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

For such more question on variable

https://brainly.com/question/28248724

#SPJ8

Answer:

To work out the percentage, all you have to do is divide the first subject by the second and multiply that by 100%.

In other words, \(\frac{\$10}{\$10} \cdot 100\%\)

= \(1 \cdot 100\%\)

= \(100\%\).

Step-by-step explanation:

Hope this helped!

There are 56 possible outcomes that contain exactly 3 heads when a coin is flipped 8 times.

To find the number of possible outcomes that contain exactly 3 heads when a coin is flipped 8 times, we can use the formula for combinations.

The total number of possible outcomes when flipping a coin 8 times is 2^8 = 256 (since each flip can result in 2 outcomes: heads or tails).

To calculate the number of outcomes with exactly 3 heads, we need to choose 3 out of the 8 flips to be heads, and the remaining 5 flips to be tails. The number of ways to choose 3 items out of a set of 8 is given by the combination formula:

C(8,3) = 8! / (3! * 5!) = 56

Therefore, there are 56 possible outcomes that contain exactly 3 heads when a coin is flipped 8 times.

To learn more about possible outcomes, click here:

brainly.com/question/27292589

#SPJ11

Waris bought 3 cakes of the same size. After consuming half of one cake and one third of another cake, we need to determine how much cake is left over.

To determine how much cake was left over, let's break down the information provided step by step:

Waris bought 3 cakes of the same size.

Half of one cake means taking one cake and dividing it into two equal parts.

One third of another cake means taking another cake and dividing it into three equal parts, then selecting one part.

We need to determine the total amount of cake that remains after the above steps.

Let's assume each cake is represented by the unit "cake."

Initially, Waris has 3 cakes.

After halving one cake, we have 3 - 1/2 = 2.5 cakes remaining.

After taking one third of another cake, we have 2.5 - 1/3 = 2.1667 cakes remaining.

Therefore, Waris has approximately 2.1667 cakes of cake left over altogether.

To learn more about unit : brainly.com/question/23843246

#SPJ11

Answer:

What is the quadratic formula?

Step-by-step explanation:

Answer:

48

Hope this helps!

The area of triangle is 47.906 square unit.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle.

Triangle's characteristics

s = (AB+BC+CA)/2

s = (14+12+8)/2

s = 17

Area of triangle using Heron's formula is:

A = √{s(s-a)(s-b)(s-c)}

A =  √{17(17-14)(17-12)(17-8)}

A = 47.906 square unit

To know more about triangle please visit:

https://brainly.com/question/2773823

#SPJ13

The domain of f is the range of f −1, and the domain of f −1 is the range of f.

The domain of a function f is the set of all possible input values for which the function is defined and produces a unique output. The inverse function of f, denoted by f^(-1), is a function that reverses the input and output of f. That is, if f(x) = y, then f^(-1)(y) = x.

The domain of f^(-1) is the range of f because the output values of f become the input values of f^(-1), and the input values of f become the output values of f^(-1). Therefore, the range of f becomes the set of possible input values for f^(-1), which is the domain of f^(-1). Similarly, the range of f^(-1) is the domain of f because the output values of f^(-1) become the input values of f, and the input values of f^(-1) become the output values of f.

Learn more about function here

brainly.com/question/20207421

#SPJ4

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

Read more about Equivalent fractions at: https://brainly.com/question/17220365

#SPJ1

Answer:

d. 2x³y + 12x²y² + 18xy³

Step-by-step explanation:

Volume = l x b x h

= 2xy × x + 3y × x + 3y

= 2xy × (x + 3y)²

= 2xy × (x² + 6xy + 9y²)

= 2x³y + 12x²y² + 18xy³

The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

Learn more about mean-square from the given link

https://brainly.com/question/30763770

#SPJ11  

Hunter has 32 different possible outcomes if he rolls a pyramid-shaped die with four sides, spins a spinner with four equal-sized sections, and flips a coin.

There are different methods to approach this problem, but one possible way is to use the multiplication principle of counting, which states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks in sequence.

In this case, Hunter has three tasks: rolling the die, spinning the spinner, and flipping the coin.

For the first task, rolling the die, there are four possible outcomes.

For the second task, spinning the spinner, there are four possible outcomes as well.

For the third task, flipping the coin, there are two possible outcomes.

Using the multiplication principle, the total number of possible outcomes is:

4 x 4 x 2 = 32

To learn more about outcomes click on,

https://brainly.com/question/23382764

#SPJ1

Answer: yes

Step-by-step explanation:

SOLUTION

Probability for Z score is given by the formula

So from the Z score calculator, the Probability of it lasting more than 13 years = 0.67

Answer:

∠ T = 126°

Step-by-step explanation:

in an isosceles trapezoid

• lower base angles are congruent

• any lower base angle is supplementary to any upper base angle

then

∠ U = ∠ W = 54° , so

∠ T + ∠ U = 180°

∠ T + 54° = 180° ( subtract 54° from both sides )

∠ T = 126°