Answer: The required number of machines is 24.
Step-by-step explanation: Given that a machine can stamp 40 envelopes in 8 mins.
We are to find the number of machines that are working simultaneously are required or needed to stamp 120 envelopes per minutes.
We will be using the UNITARY method to solve the given problem.
In 8 minutes, number of envelopes stamped by a machine = 40.
So, in 1 minute, the number of envelopes stamped by the machine is given by
Now, number of machines required to stamp 5 envelopes in 1 minute = 1.
So, number of machines required to stamp 1 envelope in 1 minute is
Therefore, the number of machines required to stamp 120 envelopes in 1 minute is given by
Thus, the required number of machines is 24.
<u>Answer-</u>
The standard error of the confidence interval is 0.63%
<u>Solution-</u>
Given,
n = 2373 (sample size)
x = 255 (number of people who bought)
The mean of the sample M will be,
Then the standard error SE will be,
Therefore, the standard error of the confidence interval is 0.63%
Answer:
Ix = Iy = a^4 / 12
Ixy = a^4 / 24
Step-by-step explanation:
Solution:-
- Sketch the right angled isosceles triangle as shown in the attachment.
- The density (ρ) is a multivariable function of both coordinates (x and y).
ρ ( x, y ) = k*(x^2 + y^2)
Where, k: coefficient of proportionality.
- The lamina and density are symmetrical across the line y = x. (see attachment). The center of mass must lie on this line.
- The coordinates of centroid ( xcm and ycm) are given by:
- The coordinates of xcm = ycm, they lie on line y = x.
- Calculate the mass of lamina (m):
- Calculate the Moment (My):
- Calculate ( xcm = ycm ):
xcm = ycm = ( ka^5 /15 ) / ( ka^4/6) = 2a/5
- Now using the relations for Ix, Iy and I: We have:
Ix = bh^3 / 12
Iy = hb^3 / 12
Where, h = b = a .... (Right angle isosceles)
Ix = Iy = a^4 / 12
Ixy = b^2h^2 / 24
Ixy = a^4 / 24
