Answer:
131.2 ;
12.8 ;
(118.4, 144)
Step-by-step explanation:
Given :
X = 131.2, s=55 , and n= 50
Point estimate of the mean :
Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :
Margin of Error = Zcritical * s / sqrt(n)
Zcritical at 90% = 1.645
Margin of Error : 1.645 * (55 / sqrt(50))
Margin of Error : 1.645 * 7.7781745
Margin of Error = 12.795097
Margin of Error = 12.8
The confidence interval (C.I) :
C.I = x ± margin of error
C. I = 131.2 ± 12.8
(131.2 - 12.8) ; (131.2 + 12.8)
(118.4, 144)
Answer:
hello your question is incomplete below is the complete question
verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??
answer : <em>attached below</em>
Step-by-step explanation:
Attached below is the required verification of the conclusion of Green's Theorem
In the attached solution I have proven that Green's theorem ( ∫∫c F.Dr ) .
i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2
Answer:
Step-by-step explanation:
The area of a rectangle(A) related to the length (L) and WITDH (W) of its sides by the following Relationship:A=L W if you know the width is easy to find the length rearranging this equation to get L=A÷w if you know the length and want width rearranged to get W=A÷L this is the formula not the answer.