what are the probabilities of having at loeas one flood at the given location equal to or greater than the 25-year flood during the next year the next 25 years and any 5 years period

Answer:

For every 7 students in 8th grade, there are 3 students in 6th grade.

I hope I'm right.

Answer:

24 pots 2 plates

Step-by-step explanation:

Answer:

24 pots and 2 plates

Step-by-step explanation:

The number of miles in a day at which the rental costs for company a and company b are the same are 350 miles.

Let the number of miles travelled be 'x';

According to question; for rental costs to be same;

120 + 0.40x = 50 + 0.90x;

0.50x = 70;

x = 350;

Of the one hundred biggest cities national, San Francisco's hire discounts are the steepest, according to records from domestic-seek internet site rental listing. The metropolis's median rents are down roughly 10% from March 2020, stated senior economist Christopher

Rents within the San Francisco metro area, which incorporates the East Bay and the Peninsula, have been up just over 12% in April compared to 365 days ago, and were at the upward thrust for the ultimate four months directly, consistent with the ApartmentList file.

To learn more about Rents visit: https://brainly.com/question/24412816

#SPJ4

If all else remains constant and the values of two variables move in the same direction, it indicates a positive correlation.

  Correlation is a statistical measure that expresses the relationship between two variables. The correlation coefficient, which ranges from -1 to +1, is used to quantify the correlation.

 A positive correlation is when the values of the variables move in the same direction. A correlation of +1 indicates that the variables are perfectly positively correlated, implying that as one variable increases, the other also increases.

 A correlation of -1 indicates that the variables are perfectly negatively correlated, implying that as one variable increases, the other decreases. A correlation of zero indicates that there is no correlation between the variables.

   Hence a positive correlation exists when the values of two variables move in the same direction while all other factors remain constant.

To learn more about correlation visit: https://brainly.com/question/29972433

#SPJ11

Using the property that the Fourier Transform of the nth derivative of a function is given by (iω)^n times the Fourier Transform of the original function, we get:

F(ω) = (-iω)^3 F(ω)'

(a) To find the Fourier Transform of the given function, we can use the definition of the Fourier Transform:

\(F(ω) = ∫[-∞,∞] f(t) e^(-iωt) dt\)

where f(t) is the input signal and F(ω) is its Fourier Transform.

For the given function, f(t) is equal to 1 for 0 < t < 1 and 0 otherwise. We can write this as:

f(t) = u(t) - u(t-1)

where u(t) is the unit step function, defined as u(t) = 1 for t > 0 and u(t) = 0 for t < 0.

Substituting this expression for f(t) into the Fourier Transform integral, we get:

\(F(ω) = ∫[0,1] e^(-iωt) dt - ∫[1,∞] e^(-iωt) dt\)

Using integration by parts with u = e^(-iωt) and dv/dt = 1, we get:

\(∫ e^(-iωt) dt = -iω e^(-iωt) / ω^2 + C\)

where C is the constant of integration. Substituting this into the Fourier Transform integral, we get:

\(F(ω) = [(-iω e^(-iωt) / ω^2 + C)]_0^1 - [(-iω e^(-iωt) / ω^2 + C)]_1^∞\)

Simplifying this expression, we get:

\(F(ω) = (-iω e^(-iω) / ω^2 + C) - C - (-iω e^(-iω) / ω^2 + C)= -iω e^(-iω) / ω^2\)

Therefore, the Fourier Transform of the given function is F(ω) = -iω e^(-iω) / ω^2.

(b) To find the Fourier Transform of the given function using differentiation, we can differentiate the function three times and use the property that the Fourier Transform of the nth derivative of a function is given by (iω)^n times the Fourier Transform of the original function.

The first derivative of the function is:

f'(t) = δ(t) - δ(t-1)

where δ(t) is the Dirac delta function, which has a value of infinity at t = 0 and 0 elsewhere. The second derivative of the function is:

f''(t) = δ'(t) - δ'(t-1) = -δ(t) + δ(t-1)

where δ'(t) is the derivative of the Dirac delta function, which is defined as δ'(t) = d/dt δ(t).

The third derivative of the function is:

f'''(t) = -δ'(t) + δ'(t-1) = -δ''(t) + δ''(t-1)

where δ''(t) is the second derivative of the Fourier Transform which is defined as\(δ''(t) = d^2/dt^2 δ(t).\)

where F(ω)' is the Fourier Transform of f'(t). To find F(ω)', we can use the fact that the Fourier Transform of the Dirac delta function is 1, and the   Fourier Transform

To know more about Fourier Transform, refer here:

https://brainly.com/question/29063535

#SPJ11

In 15 minutes, a water pump capable of pumping 13.2 gallons of water per minute will remove a total of 198 gallons of water from the pool.

If a water pump can pump 13.2 gallons of water in a pool every minute, we can calculate the amount of water it will remove in 15 minutes by multiplying the pumping rate by the duration. Therefore, 13.2 gallons/minute x 15 minutes = 198 gallons. During the 15-minute period, the water pump will continue to operate at a constant rate, removing water from the pool. Each minute, 13.2 gallons of water will be pumped out. When we multiply this rate by the duration of 15 minutes, we find that a total of 198 gallons of water will be removed from the pool. It's important to note that this calculation assumes a constant pumping rate without any interruptions or changes in efficiency.

learn more about efficiency here: brainly.com/question/10478611

#SPJ11

The surface area of the square base pyramid of slight height 6 inches is 36 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

To calculate the surface area of the square base pyramid, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the surface area is 36 in².

Learn more about surface area here: https://brainly.com/question/1297098

#SPJ1

Answer:

64

Step-by-step explanation:

Answer: a>l and a<164

Step-by-step explanation:

The first one is that because Andre’s height is greater than Lin’s (the letters represent their names, but if the paper says to use other variables, do that)

The second one is because Andre’s height is less than his teacher’s, which is 164. For that one, you could also do 164> a, but I’d go with the first one.

Hope this helps :D

Answer:

c-43=47

Step-by-step explanation:

Well this is kinda obvious.

He already sold 43 cups of hot choclate and he needed 47 more.

So the total amount of cups is (c) so we can make an equation like this

c-43 (since theres total which is unknown so ”c” and then Theres the already sold 43 cups).

c-43=47 (the 47 is the amount he needs to sell)

So final equation to determine total cups needed

c-43=47

If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.

We are required to find the speed of slower car and faster car.

let the speed of slower car be x mph.

In this way the speed of faster car be (x+20) mph.

Speed=Distance/ time

We have to first take slower car.

x=165/Time

Time=165/x-----------1

Now by taking faster car.

x+20=225/time

Time=225/(x+20)-------2

From equation 1 an equation 2.

165/x=225/(x+20)

225x=165x+3300

225x-165x=3300

60x=3300

x=55 mph

Faster car=55+20

=75 mph.

Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Learn more about speed at https://brainly.com/question/4931057

#SPJ1

Answer:

C=hypotenuse [h]=50 feet

A=[base]=40foot.

B=perpendicular [p]=?

Area =?

we have

By using Pythagoras law

p²+b²=h²

B²=40²=50²

B²=50²-40²

B=√900

B=30feet

we have

Area of triangle =½×A×B=½×30×40=600feet²

the roped off area is 600 square feet.

it is a right angled triangle.

Find Base

Area

Off course right angle

Answer:

d = 5 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 1) ← 2 points on the line

d = \(\sqrt{(8-5)^2+(1-5)^2}\)

 = \(\sqrt{3^2+(-4)^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

To learn more on irrational numbers: https://brainly.com/question/17450097

#SPJ1

The value of x in the solution to the system of linear equations is 17/3.

What is a linear equation ?

A linear equation is an equation that, when graphed on a coordinate-plane, shows a straight line. It's an algebraic equation constant terms or the product of a constant and variable. A linear equation has the basic form y = mx + b, where y and x are variables, m is the slope, and b is the y-intercept.

Now,

Cramer's Rule is used to solve systems of linear equations with help of  determinants. To use Cramer's Rule, we need to find the determinants of certain matrices.

In this case, we have the system of equations:

3x + 4y = 15

8x - 2y = 40

writing this in matrix form

| 3 4 | | x | | 15 |

| 8 -2 | x | y | = | 40 |

To solve for x using Cramer's Rule, we need to find the determinant of the coefficient matrix and the determinant of the matrix formed by replacing the x column with the constants:

| 3 4 |

| 8 -2 |

and

| 15 4 |

| 40 -2 |

The determinant of the coefficient matrix is:

det(A) = (3)(-2) - (8)(4) = -30

The determinant of the matrix formed by replacing the x column with the constants is:

det(Ax) = (15)(-2) - (40)(4) = -170

Now we can use the formula for Cramer's Rule to solve for x:

x = det(Ax) / det(A)

x = (-170) / (-30)

x = 17/3

Therefore, the value of x in the solution to the system of linear equations is 17/3.

To know more about linear equations visit the link

brainly.com/question/29739212

#SPJ1

The measure of angle RQT is 63°

From the question, we are to determine the measure of angle RQT.

From the diagram,

We can observe that ∠PQS and ∠SQT form a linear pair

Thus,

∠PQS + ∠SQT = 180°

(4x + 15)° + (10x - 3)° = 180°

First, determine the value of x

4x + 15 + 10x - 3 = 180

4x + 10x = 180 - 15 + 3

14x = 168

x = 168/14

x = 12

In the diagram,

∠RQT and ∠PQS are vertically opposite

From the given information,

∠PQS = (4x + 15)°

∴ ∠RQT = (4x + 15)°

Substitute the value of x

∠RQT = (4(12) + 15)°

∠RQT = (48 + 15)°

∠RQT = 63°

Hence, the measure of angle RQT is 63°

Learn more on Calculating angles here: https://brainly.com/question/11002516

#SPJ1

We can be 99% confident that the true average price of a regular room with a king size bed falls within this interval.

The interval estimate to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence can be constructed using the sample mean, sample standard deviation, and the critical value for a 99% confidence level.

Given that the sample mean is $125 and the sample standard deviation is $30, we can calculate the margin of error using the formula:

Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)

Since we have a sample size of 18 and we want a 99% confidence level, the critical value can be obtained from the Z-table or using statistical software, and for a 99% confidence level, it is approximately 2.878. Plugging in the values, we get:

Margin of Error = 2.878 * (30 / √18) ≈ 18.71

The interval estimate is then constructed by adding and subtracting the margin of error from the sample mean:

Interval Estimate = Sample Mean ± Margin of Error

Interval Estimate = $125 ± $18.71

Rounded to two decimal places, the interval estimate for the true average price of a regular room with a king size bed in the resort community with 99% confidence is approximately $106.29 to $143.71.

# A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $125 with a standard deviation of $30. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.

Learn more about standard deviation here:
brainly.com/question/13498201

#SPJ11

When a plane intersects only one nappe of a double-napped cone such that it is parallel to a generating line, it forms a parabola.

When a plane intersects only one nappe of a double-napped cone parallel to a generating line, it forms a conic section known as a parabola. This is because a parabola is defined as the set of all points that are equidistant to a fixed point (known as the focus) and a fixed line (known as the directrix).

When a plane intersects a double-napped cone parallel to a generating line, it intersects all the generatrices at the same angle, resulting in a curve that is symmetric and opens in one direction. This curve is a parabola, and it is commonly found in nature, such as the path of a thrown ball, the shape of a satellite dish, or the reflector of a car's headlights.

The properties of a parabola make it useful in various fields, including optics, physics, and engineering, where it is used to model and analyze a wide range of phenomena, such as the trajectory of projectiles, the behavior of lenses and mirrors, and the design of antennas and reflectors.

To know more about parabola:

https://brainly.com/question/21685473

#SPJ4

Lineear positive association

Step-by-step explanation:

because the horizontal line is +x and vertical line is +y

Answer:

13 people wouldn't have electricity

Step-by-step explanation:

Ratio of people with electricity to people without electricity is 8,000,000,000 : 1,000,000,000 or 8:1

8:1 = 100:x  We need to find x.  To do this, divide 100 by 8.

100/8 = 12.5

Then multiply the other side of the ratio (1) by that number.

12.5 · 1 = 12.5

Out of 100 people in a village 12.5 of them don't have electricity.  (You can't have half of a person so you round it to 13.)

Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

To know more about Heaviside step function follow the link:

https://brainly.com/question/7137484

#SPJ11

The variable assigned to strgrade when intscore equals 90 would likely be 'A'.

When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.

Learn more about variable

brainly.com/question/15078630

#SPJ11

4 fries + 6 cheeseburgers = $52

3 fries + 2 cheeseburgers = $24

9 fries + 6 cheeseburgers = $24×3

= $72

$72-$52=$20

5 fries = $20

1 fries = $20÷5

= $4

1 cheeseburger = [$24 - (3×$4)]÷2

= $6

6)  19$

7) (1,3)

8) 3

9) (-∞,4)

10) The common difference is 10

Answer:

72%

Step-by-step explanation:

18/25 are pink.

18*4 = 72.

72 percent.