Find the coefficient of variation from the following data mean=4 variance=25

24 59' 60'' is equivalent to what degrees

denpristay [2]

Answer:

25 degrees

Step-by-step explanation:

The computation is shown below:

24°59'60" = 24°+59'+60"

Now

As we know that

1'=60"

i.e. (1 minute = 60 seconds)

so,

24°+59'+60" = 24°+59'+1'

=24°+60'

Also,

1°=60'(1 degree=60 seconds)

= 24°+1°

=25°

5 0

3 years ago

Reza is building a cone-shaped storage container. The container has a radius of 5.5 feet and a slant height of 6 feet. If Reza w

swat32

199 square feet. This problem could be worked out two ways. First is to use the radius and slant height to calculate the height, then use the formula for the surface area of a cone. The other is to work it out from basic principles. I'll solve this from basic principles. You can consider the cone to be made of two surfaces. The base whose area is pi*r^2 and the cone part on top. If you imagine cutting a straight line from the base to the tip of the cone, you can flatten it into a circle with a wedge cut out of it. The side of that partial circle will have the same length of the curve as the perimeter of the base. So you can use that to calculate that area as well. Area of top without wedge cut out is: pi*6^2 = 36 pi. Perimeter of top without wedge cut out is: 2*pi*6 = 12 pi Perimeter of base is: 2*pi*5.5 = 11 pi. So the area of the top is 11pi/12pi * pi * 6^2 = 11/12 * pi * 36 = 33pi. And the area of the base is pi*r^2 = pi*5.5^2 = 30.25pi. So the overall area of the cone is: 33pi + 30.25pi = 63.25pi = 198.7057353 = 199. To show that the above method was correct, let's do it the conventional way. We can use the Pythagorean theorem to get the height. So: sqrt(6^2 - 5.5^2) = sqrt(36 - 30.25) = sqrt(5.75) = 2.397915762 And the surface area of a cone is: A=pi*r(r+sqrt(h2+r2)) Substitute the known values. And since we know the square already, I'll use that more precise value: A=pi*5.5(5.5+sqrt(5.75+30.25)) A=pi*5.5(5.5+sqrt(36)) A=pi*5.5(5.5+6) A=pi*5.5(11.5) A=pi*63.25 A=198.7057353 And as you can see, you get the exact same answer.

8 0

3 years ago

Read 2 more answers

A function is a type of ___________.

miv72 [106K]

Answer:

A function is a type of vertical line test.

5 0

3 years ago

Read 2 more answers

A = 4 0 0 1 3 0 −2 3 −1 Find the characteristic polynomial for the matrix A. (Write your answer in terms of λ.) Find the real ei

Illusion [34]

Answer:

Step-by-step explanation:

We are given the matrix

$A = \left[\begin{matrix}4&0&0 \\ 1&3&0 \\-2&3&-1 \end{matrix}\right]$

a) To find the characteristic polynomial we calculate $\text{det}(A-\lambda I)=0$ where I is the identity matrix of appropiate size. in this case the characteristic polynomial is

$\left|\begin{matrix}4-\lambda&0&0 \\ 1&3-\lambda&0 \\-2&3&-1-\lambda \end{matrix}\right|=0$

Since this matrix is upper triangular, its determinant is the multiplication of the diagonal entries, that is

$(4-\lambda)(3-\lambda)(-1-\lambda)=(\lambda-4)(\lambda-3)(\lambda+1)=0$

which is the characteristic polynomial of A.

b) To find the eigenvalues of A, we find the roots of the characteristic polynomials. In this case they are $\lambda=4,3,-1$

c) To find the base associated to the eigenvalue lambda, we replace the value of lambda in the expression $A-\lambda I$ and solve the system $(A-\lambda I)x =0$ by finding a base for its solution space. We will show this process for one value of lambda and give the solution for the other cases.

Consider $\lambda = 4$ . We get the matrix

$\left[\begin{matrix}0&0&0 \\ 1&-1&0 \\-2&3&-5 \end{matrix}\right]$

The second line gives us the equation x-y =0. Which implies that x=y. The third line gives us the equation -2x+3y-5z=0. Since x=y, it becomes y-5z =0. This implies that y = 5z. So, combining this equations, the solution of the homogeneus system is given by

$(x,y,z) = (5z,5z,z) = z(5,5,1)$