4. A rectangle measures 20cm by 15cm If each dimension is increased by 2.5cm by what percentage is a) The perimeter of the rectangle increased b) The area of the rectangle is increased​

The average daily capacity factor for a MOD-2 WTG operating in Cherry Point, NC in March is approximately 0.13%.

To find the average daily capacity factor for a MOD-2 WTG in Cherry Point, NC in March using the Weibull distribution, calculate the probability of wind speeds exceeding the rated speed and power output exceeding the rated power. Multiply these probabilities to get the capacity factor, which is approximately 0.13%.

To calculate the average daily capacity factor using the Weibull distribution for a MOD-2 WTG operating in Cherry Point, NC in March, we will need to use the following parameters:

PR = 2,500 kW
VC = 6.26 m/s
VR = 12.5 m/s
VF = 26.83 m/s
Vmax = 30 m/s

Using the approximate method, we can calculate the capacity factor as follows:

1. Determine the shape and scale parameters of the Weibull distribution for the given wind speed range:

k = (VF/VC)^2 x ln(VR/VC) = (26.83/6.26)^2 x ln(12.5/6.26) = 3.27
c = VC / Γ(1 + 1/k) = 6.26 / Γ(1 + 1/3.27) = 3.43

where Γ is the gamma function.

2. Calculate the probability of wind speed exceeding the rated wind speed VR:

P(V > VR) = (Vmax/VR)^k = (30/12.5)^3.27 = 0.073

3. Calculate the probability of power output exceeding the rated power PR:

P(P > PR) = exp(-(PR/c)^k) = exp(-(2,500/3.43)^3.27) = 0.018

4. Calculate the average daily capacity factor as the product of the two probabilities:

CF = P(V > VR) x P(P > PR) = 0.073 x 0.018 = 0.0013

Therefore, the average daily capacity factor for a MOD-2 WTG operating in Cherry Point, NC in March is approximately 0.13%.

Learn more about cumulative distribution function here: brainly.com/question/30402457

#SPJ11

The put option should be worth $8.11 The current stock price of khhnon 8 - solvnson ப6) is $178 Instantaneous rate of return is 6% Instantaneous standard deviation of J.

J's stock is 30%Strike price is $171 Expiration date is 60 days from now The formula for the put option using the Black-Scholes model is given by: C = S.N(d1) - Ke^(-rT).N(d2)

Here,C = price of the put option

S = price of the stock

N(d1) = cumulative probability function of d1

N(d2) = cumulative probability function of d2

K = strike price

T = time to expiration (in years)

t = time to expiration (in days)/365

r = risk-free interest rate

For the given data, S = 178

K = 171

r = 6% or 0.06

T = 60/365

= 0.1644

t = 60N(d2)

= 0.63687

Using Black-Scholes, the price of the put option can be calculated as: C = 178.N(d1) - 171.e^(-0.06 * 0.1644).N(0.63687) The value of d1 can be calculated as:d1 = [ln(S/K) + (r + σ²/2).T]/σ.

√Td1 = [ln(178/171) + (0.06 + 0.30²/2) * 0.1644]/(0.30.√0.1644)d1

= 0.21577

The cumulative probability function of d1, N(d1) = 0.58707 Therefore, C = 178 * 0.58707 - 171 * e^(-0.06 * 0.1644) * 0.63687C = 104.13546 - 96.02259C

= $8.11

Therefore, the put option should be worth $8.11.

To know more about stock price visit:

https://brainly.com/question/18366763

#SPJ11

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

\(P(A\cap B)=P(A)\cdot P(B)\)

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., \(P(A\cap B)\), therefore \(P(A\cap B)=P(A)\cdot P(B)\).

Hence, the correct option is A.

Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.

Therefore, the answer is 0 and π.

f(θ) = 2cos(θ) +(sin(θ))²

f'(θ) = -2sin(θ) +2sin(θ)cos(θ)

Critical values of f are points at which f' is zero or not defined.

For all values of θ, we can find that f'(θ) is defined.

f'(θ) = 0

-2sin(θ) +2sin(θ)cos(θ) = 0

cos(θ) - 1 = 0 or sin(θ) = 0

cos(θ) = 1

θ = nπ, n = 0, 1, 2, ...

sin(θ) = 0

θ = nπ, n = 0, 1, 2, ...

Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.

2π is not there as it is not included in the interval.

To know more on critical values

https://brainly.com/question/36886

#SPJ4

Answer:

Step-by-step explanation:

first term = a=-2

second term= ar=-2*(3/2)=-3

hope this helps

hope im not so late  

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

Since given total fruits are 20

So lets name fruit by its first letter,

according to question,

5A, 2P, 3B, and x grapes(say)

Hence, she had 10 grapes.

Answer:

10 fruits

Step-by-step explanation:

Answer:

trure correct

ok must of luck

Considering the given tree diagram, there is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

At each node, the sum of the probabilities is of 1, hence:

0.2 + 0.3 + Z = 1.

Z = 0.5.

There is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

In calculating the mean of this data set  Ashrita did the best job.

The  Mean of the data set is the most commonly used measures of central tendency.

It means the average value of the data set.

one doesn't have to arrange the data in order  for finding it.

The data set value  takes is to add them all together and divide that by the number of the data.

It can be written as

\(,(x_1 + x_2 + x_3 + ..... + x_n) / n\)

Where \(x_1 , x_2 , x_3 , ..... ,x_n\)are the values in the data set

Therefore we can conclude that Ashrita did the best job in calculating the mean of this data set.

To learn more about the mean visit:

https://brainly.com/question/968894

The required with the help of the equation model original price of a movie was $12.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Define a variable. Let x = the original price of a movie.

The equation that models the problem is 3(x - 4) = 24. This equation represents the total cost Jacob paid after taking the discount.

To solve the equation, first distribute the 3 on the left side of the equation: 3x - 12 = 24.

Next, isolate the variable by adding 12 to both sides of the equation: 3x = 36.

Finally, solve for x by dividing both sides by 3: x = 12.

Therefore, the original price of a movie was $12.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1

Answer:

0+8

Step-by-step explanation:

add 8 each time

it is 0 because in times table if you have 8, 16 and 24 then you don't need to add it on or take away from it, so it will be 0.

I hope that helped.

If 2 layers will fill the entire truck then the volume of the truck is 16 cubic meters.

Since the floor of the truck can be completely covered with a layer of 8 boxes, we know that the area of the truck's floor is equal to the total area of 8 boxes.

The volume of each box is one cubic meter, which means each box has a height, length, and width of 1 meter. Therefore, the area of the truck's floor is 8 square meters (8 boxes x 1 square meter per box).

If two layers of boxes will fill the entire truck, we need to multiply the area of the truck's floor by the height of two layers. Since each box has a height of 1 meter, the height of two layers will be 2 meters.

The volume of the truck = Area of the floor x Height

Volume of the truck = 8 square meters x 2 meters

Volume of the truck = 16 cubic meters

Therefore, the volume of the truck is 16 cubic meters.

To learn more about the volume;

https://brainly.com/question/23477586

#SPJ1

Answer:

17

Step-by-step explanation:

17000/1000=17

The expanded form calculator takes the number you feed it and expands it with respect to the decimal base.

The Extended Form Calculator displays a number of Extended Forms, including Extended Note Form, Extended Factor Form, Extended Exponential Form, and Verb Form.

Expanded form or expanded notation is a way of writing numbers to see the mathematical value of individual numbers. When numbers are broken down into individual place values ​​and decimal places, they can also form a mathematical expression. 5,325 in expanded notation is 5,000,300 20 5 = 5,325.

Expanded Form:

5,000 + 300 + 20 + 5 = 5,325

.know more about   Expanded Notation Calculator click here;

https://brainly.com/question/2192601

#SPJ4

Answer:

   20 miles

Step-by-step explanation:

first, draw a diagram. Then, use the pythagorean theorem to calculate.

In three-dimensional graphing, we use three axes (x, y, and z) to divide the space into eight sections or intervals.(option d)

In three-dimensional graphing, we use three axes to represent the three dimensions: x, y, and z. These axes are typically labeled as x-axis, y-axis, and z-axis, respectively. The x-axis represents the horizontal direction, the y-axis represents the vertical direction, and the z-axis represents the depth or distance from the viewer's perspective.

When we combine these three axes, they create a three-dimensional space or a graph. Each axis is perpendicular to the other two axes, forming a right-handed coordinate system. The x, y, and z axes intersect at a point called the origin, usually denoted as (0, 0, 0). The origin serves as the reference point from which we measure distances and positions in three-dimensional space.

Each axis is divided into smaller sections or intervals, just like the number line on a two-dimensional graph. These divisions, also known as units or ticks, help us locate and label specific points or positions in the three-dimensional space accurately. The number of sections or intervals on each axis depends on the scale or range of values being represented.

The correct answer to the question is D) 3,8, as there are three axes (x, y, and z) and each axis is divided into eight sections or intervals, depending on the scale or range being represented.

To know more about triangle here

https://brainly.com/question/8587906

#SPJ4

The length of QT should be considered when the Parallelogram QRST where QR = 6X - 5 is to be \(x=-13/3\).

SInce

Parallelogram QRST where QR = 6X - 5 and RS = 4x + 13

So here we can write like

-3x = 13

x = \(-13 /3\)

hence, The length of QT should be considered as the \(x=-13/3\).

Learn more about length here: https://brainly.com/question/21005254

Answer:

9th term is 83 . im not good in explaining this if you can understand then good if not try harder

Answer:

18

3+x (x=15)

so

3+15 =

18

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Answer:

Solution is in attached photo.

Step-by-step explanation:

Answer:

66 pots

Step-by-step explanation:

The height of flower pot is 66 inches

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Measurement of mug = 6 inches

as, the slower pot is 11 times taller than the mug

=11 * 6

=66 inches.

Hence, the height of flower pot is 66 inches

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Let smaller no be x and bigger be y

Put it in eq(1)

Now

The numbers are 9 and 30

\(A(t)=5000(1.013)^{t25}\implies A(t)=5000(1.013)^{t\cdot 25}\implies A(t)=5000(1.013^t)^{25}\)

Answer:

x= 18 and y= 20

Step-by-step explanation:

hope this helps

Answer:

256

Step-by-step explanation:

16 ×16= 256

Hope it works out for you

Answer:

i think its 256, but my desmos is being a bit rude to me.

Step-by-step explanation:

Answer:

m(∠W) = 114°

Step-by-step explanation:

By the property of a parallelogram,

"Opposite angles of a parallelogram are equal in measure"

By this property,

m(∠W) = m(∠U)

9x + 15 = 4 + 10x

15 - 4 = 10x - 9x

x = 11

Therefore, m(∠W) = 9x + 15

                              = 9(11) + 15

                              = 99 + 15

                              = 114°

Measure of angle W is 114°.

Answer:

14th term

Step-by-step explanation:

12÷10 = 1.2

14.4÷12 = 1.2

17.28÷14.4 = 1.2

Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’

We call it (Vn)

The general term of the sequence:

Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹

To determine the term at which the sequence exceeds 100 we have to solve the equation:

Vn ≥ 100

⇔ 10×(1.2)ⁿ⁻¹ ≥ 100

⇔ (1.2)ⁿ⁻¹ ≥ 100/10

⇔ (1.2)ⁿ⁻¹ ≥ 10

⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)

⇔ (n-1)×ln(1.2) ≥ ln(10)

\(\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}\)

\(\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14\)

Verification:

\(V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072\)

Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

Read more about cost reimbursement

brainly.com/question/31930459

#SPJ1