The number of hurricanes that will hit a certain house in the next ten years is Poisson distributed with mean 4. Each hurricane results in a loss that is exponentially distributed with mean 1,000. Losses are mutually independent and independent of the number of hurricanes. Calculate the variance of the total loss due to hurricanes hitting this house in the next ten years.

Answer:

Step-by-step explanation:-2 1/8

Answer:

C.) -2 1/8

Step-by-step explanation:

-5 5/8 can be rewritten as  - 45/8

3 1/2 can be rewritten as 7/2

Now we need it so that the denominator is equal.

so, we are going to multiply 7 and 2 by 4 to get 2 to 8 and 7 to 28.

7/2 = 28/8

Now subtract.

28/8 - 45/8 = - 17/8

Now we simplify.

Since 8 x 2 equals 16, we subtract 16 from 17 and get 1 so, the whole number is 2 and the fraction is 1/8, so the answer is -2 1/8

Answer:

27 students received an A

Step-by-step explanation:

90% of 150 is 135

1/5 of 135 is 27

The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

Learn more about equation at https://brainly.com/question/14107099

#SPJ4

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

An integer is a whole number, including 0. An integer can be positive or negative.

Examples of integers:

0, 2, -5, -16, 18, -3000, -1

Therefore -1 can be said to be an integer.

ANSWER:

Yes, -1 is an integer

To find arbitrarily large powers of s without doing matrix multiplication, we can use the binary representation of the power and exponentiation by squaring.

Exponentiation by squaring is a method for computing large powers of a number efficiently. To compute s^n, we first convert n to its binary representation. For example, if we want to compute s^13, we first convert 13 to its binary representation of 1101, which is equivalent to 8 + 4 + 1.

We then compute s^8, s^4, and s^1, and multiply them all together. To compute s^8, we use the fact that s^8 = (s^4)^2. To compute s^4, we use the fact that s^4 = (s^2)^2. To compute s^2, we use the fact that s^2 = s*s.

We continue in this way until we have computed the powers of all the individual binary digits, and then multiply them all together to get s^13. This method is much more efficient than computing the powers directly by multiplying s by itself 13 times.

For more questions like Matrix click the link below:

https://brainly.com/question/28180105

#SPJ4

The 90% confidence interval for the population mean is (29.411, 41.409).

To find the 90% confidence interval for the population mean, we can use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size)

Given that the sample mean is 35.41, the standard deviation is 20 months, and the sample size is 30, we need to determine the critical value for a 90% confidence level.

For a 90% confidence level, we need to find the critical value associated with a two-tailed test. The area in each tail is (1 - 0.90) / 2 = 0.05.

To find the critical value, we can use a table or calculator. Using a standard normal distribution table, we find that the critical value is approximately 1.645.

Now, we can substitute the values into the formula:

Confidence interval = 35.41 ± (1.645 * 20 / √30)

Calculating this, we get:

Confidence interval = 35.41 ± (1.645 * 20 / √30)
                   = 35.41 ± (1.645 * 3.651)
                   = 35.41 ± 5.999
                   = (29.411, 41.409)

Therefore, the 90% confidence interval for the population mean is (29.411, 41.409). This means that we are 90% confident that the true population mean falls within this interval.

Learn more about Confidence Interval: https://brainly.com/question/20309162

#SPJ11

The \(Z-score\) of the normal distribution is found to be 6.5

Here we have a normal distribution having mean of 137 and a standard deviation of 5. The data value is 150 so we find the \(Z-score\) as below:

Mean (μ) = 137

Standard deviation (SD) σ = 5

Data value x = 150

Z-score = \(\frac{x - mean }{SD}\)

∴ Z-score = \(\frac{150 -137 }{5}\)

⇒ Z- score = 13 /5

⇒ Z-score  = 6.5

Therefore the \(Z-score\) of the distribution is 6.5

To learn more about normal distribution click here:

https://brainly.ph/question/2648870

#SPJ4

Answer:

perpendicular slope = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = 9 ( subtract x from both sides )

y = - x + 9 ← in slope- intercept form

with slope m = - 1

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-1}\) = 1

Answer:x<3

Step-by-step explanation: First we isolate the 2x by subtracting 5 on both sides. This gives us 2x<6, now we divide 2 on both sides to get x<3.

Answer:

1/3(x-10)=-4

We move all terms to the left:

1/3(x-10)-(-4)=0

Domain of the equation: 3(x-10)!=0

We add all the numbers together, and all the variables

1/3(x-10)+4=0

We multiply all the terms by the denominator

4*3(x-10)+1=0

Wy multiply elements

12x(x+1=0

Step-by-step explanation:

B) The data does not represent a proportional relation, but it has constant rate of change of $5 per shirt.

A)

Take number of T-shirts up to 3 and calculate their proportions.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Clearly the rate of T- shirts is not proportional.

B)

From option (A) we found the given data is not proportional but from the table given in question the rate of change of T- shirts is indeed $5.

C)

No, there is a constant rate of change of $5 as shown in the table below.

D)

No, the data does not represent a constant proportionality. The rate varies.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Rate of change is the rate that describes how one quantity changes relative to another quantity. If x is the independent variable and y is the dependent variable, then

rate of change change=change in y / change x  

Rate of change can be positive or negative. This corresponds to an increase or decrease in the y-value between two data points. If a quantity does not change over time, it is called zero rate of change.

To learn more about rate of change, visit;

https://brainly.com/question/11606037

#SPJ1

Answer:

what is this a different answer orrrr?

The solutions that match the given differential equation are a)y=0 and b)y=2x.

The differential equation is a homogeneous linear differential equation with constant coefficients, which can be written in the form of y" + p(x)y' + q(x)y = 0. The general solution to this type of equation is y = c1e^(rx) + c2e^(rx) where r is the root of the characteristic equation r^2 + p(x)r + q(x) = 0.

In this case, the equation is of the form xy'' - y' = 0. By dividing both sides by x, we get y'' - (1/x)y' = 0, which is a homogeneous linear differential equation with constant coefficients. The characteristic equation is r^2 - (1/x)r = 0. The roots of this equation are r1 = 0 and r2 = 1/x.

Therefore, the general solution to this differential equation is y = c1 + c2x.

y=0 is a solution of the differential equation since it satisfies the equation when plugged in.

y=2x is also a solution of the differential equation since it also satisfies the equation when plugged in.

y=2x^2 and y=2 are not solutions of the differential equation because when plugged into the equation they don't satisfy it.

For more questions equations click the link below:

brainly.com/question/14620493

#SPJ4

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

The nearest thousandth, the vibration period T for a spring with a hanging weight of 2.0 kilograms is approximately 0.628 seconds.

The length of time it takes for a vibrating system or item to complete one full cycle of motion is referred to as the vibration period, also known as the period of oscillation. It is a key idea in engineering and science, especially when researching oscillatory and vibrational phenomena. Time units, such as seconds, are used to measure the duration. It is influenced by things like the vibrating system's mass, rigidity, and damping. The number of completed cycles per unit of time—the vibration's frequency—is inversely proportional to the period.

To find the vibration period T for a spring with a hanging weight of 2.0 kilograms, you can use the given formula:
T = \(2\pi \sqrt{(w / 200}\)

1. Substitute the given weight (w = 2.0 kg):
T = \(2\pi \sqrt{2.0 / 200}\)
2. Simplify the expression inside the square root:
T = \(2\pi \sqrt{0.01}\)

3. Calculate the square root:
\(T = 2\pi \sqrt{0.01}  = 2\pi (0.1)\)

4. Multiply by\(2\pi\):
\(T = 2\pi (0.1) = 0.2\pi\)

5. Calculate the numerical value of T:
\(T = 0.2\pi  = 0.628\)

To the nearest thousandth, the vibration period T for a spring with a hanging weight of 2.0 kilograms is approximately 0.628 seconds.

Learn more about vibration period here:

https://brainly.com/question/32025228

#SPJ11

Answer:

help with what? could you add a picture?

Answer:

i think the answer is C. 1/2

The number of cubic wooden blocks with a side length of 3 cm that can be cut from the rectangular block is approximately equal to 133 blocks (rounded to the nearest whole number).

The volume of the block is the product of its length, width and height. Using the given values, the volume of the block can be calculated as:volume = length × width × height = 15 cm × 12 cm × 20 cm = 3,600 cubic cm

The volume of each small wooden block that can be cut from the rectangular block is the product of its side length, width and height.Using the given value of the side length as 3 cm, the volume of each small wooden block can be calculated as:

volume of each small wooden block = side length × side length × side length = 3 cm × 3 cm × 3 cm = 27 cubic cm

The number of small wooden blocks that can be cut from the rectangular block is equal to the volume of the rectangular block divided by the volume of each small wooden block.

Therefore, the number of small wooden blocks that can be cut from the rectangular block is:total number of small wooden blocks = volume of rectangular block/volume of each small wooden block = 3,600 cubic cm/27 cubic cm = 133 1/3So, the number of cubic wooden blocks with a side length of 3 cm that can be cut from the rectangular block is approximately equal to 133 blocks (rounded to the nearest whole number).Therefore, the answer is 133.

Know more about volume here,

https://brainly.com/question/28058531

#SPJ11

Answer:

12.5%

Step-by-step explanation:

1/8=0.125=12.5%

Answer:

x = -25

Step-by-step explanation:

To solve this equation, we need to have an integer that is not 0, that can be solved via division.

1) Multiply x with 3, changing the 3 to 3x.

2) Subtract -75 from both sides, to allow 0 to be replaced by -75.

3) Divide the new -75 by 3, giving you an answer of -25.

The answer is -25, thus x = -25.

Answer:

x=25 id.k

Step-by-step explanation:

well, the opening price was "x", which oddly enough is the 100%, however during the trading of the day the company gained 3.5%, so that'd be 100% + 3.5% = 103.5%, and we know that that is 16.56, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16.56&103.5 \end{array}\implies \cfrac{x}{16.56}=\cfrac{100}{103.5}\implies 103.5x=1656 \\\\\\ x=\cfrac{1656}{103.5}\implies x=16\)

Yes,

It is true that if A is invertible, then det(A⁽⁻¹⁾) = det(A).

The determinant of a matrix and its inverse are closely related.

The determinant of a matrix is nonzero, then the matrix is invertible, and its inverse has the same determinant as the original matrix.

The following properties of determinants:

det(AB) = det(A)det(B) for any square matrices A and B

If A is invertible, then det(A⁽⁻¹⁾) = 1/det(A)

Using these properties, we can write:

det(A⁽⁻¹⁾) = det(A⁽⁻¹⁾)det(AI) = det(A⁽⁻¹⁾A) = det(I) = 1

And:

det(A) = det(AA⁽⁻¹⁾) = det(A)det(A⁽⁻¹⁾)

Multiplying both sides by det(A⁽⁻¹⁾), we get:

det(A)det(A⁽⁻¹⁾) = det(A⁽⁻¹⁾)det(A⁽⁻¹⁾) = det(A⁽⁻¹⁾)det(A)

det(A⁽⁻¹⁾) = det(A).

The determinant of a matrix and its inverse are closely related.

The determinant of a matrix is nonzero, then the matrix is invertible, and its inverse has the same determinant as the original matrix.

For similar questions on invertible

https://brainly.com/question/3831584

#SPJ11

Therefore, based on the inspection of the sample, it can be estimated that 8% of the articles in the original shipment may be defective.

The answer  is that the probable percentage of defective articles in the original shipment can be estimated using the formula:

Probable percentage of defective articles = (Number of defective articles in sample / Sample size) x 100

In this case, the number of defective articles in the sample is 4, and the sample size is 50. Plugging these values into the formula, we get:

Probable percentage of defective articles = (4/50) x 100 = 8%

Therefore, based on the inspection of the sample, it can be estimated that 8% of the articles in the original shipment may be defective.


Sampling is a technique used to estimate the characteristics of a large population by examining a smaller subset of it. In this case, a sample of 50 articles was inspected to estimate the probable percentage of defective articles in the original shipment of 500 articles. The number of defective articles in the sample was found to be 4, which represents 8% of the sample size. This percentage can then be used to estimate the probable percentage of defective articles in the entire shipment. However, it is important to note that the estimate may not be completely accurate, as the sample may not be fully representative of the entire population.

To know more about Sampling  visit:

brainly.com/question/16797504

#SPJ11

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

To learn more about tangent plane click here : brainly.com/question/33052311

#SPJ11

Answer:

16 units

Step-by-step explanation:

Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16

Answer:

52 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply -3 for x and for 5

-3x-15=27

When you have this type of equation the first thing you do is take off the parentesis

Then you pass the 15 to the other side and you get -3x= 27 +15 . After that you divide that for -3 and you get the x . In this case x= -14

Sorry if the english is bad, i hope this helps

Answer:

25%

Step-by-step explanation:

20/80=1/4=0.25=25%

Answer:

x               g(x + 2)-1               h(x)

-2              g(-2+2)-1              -1

-1               g(-1+2)-1               0

0               g(0+2)-1               1

1                g(1+2)-1                2

2               g(2+2)-1               3

Part A: 3

Part B: -1

Step-by-step explanation:

When you have questions like these all you have to do is plug in and solve.

For example I will do h(2) & h(-2) for reference.

h(2):

\((2+2)-1\\4-1\\3\)

h(-2):

\((-2+2)-1\\0-1\\-1\)