Answer:
So the answer for this case would be n=183 rounded up to the nearest integer
Step-by-step explanation:
Information provided
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
the margin of error desired
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =0.023 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The confidence level is 97% or 0.97 and the significance would be
and
then the critical value would be:
, replacing into formula (5) we got:
So the answer for this case would be n=183 rounded up to the nearest integer
Answer:
Perimeter of first triangle = 102.73
Perimeter of 2nd triangle = 123.27
Step-by-step explanation:
Dividing the area of two triangle we can find the square of the scale factor:
= 1.44
Scale factor will become =
= 1.2
Sum of perimeter of triangle = 226dm
perimeter of triangle = x + y + z = p
perimeter of first triangle = 1.2(x + y + z) = 1.2p
perimeter of 2nd triangle = (x + y + z) = p
Permieter of first triangle + Perimeter of second triangle = 226
1.2(p) + p = 226
2.2p = 226
p = 102.73 // This is the perimeter of 2nd triangle
For finding permieter of first triangle, multiply it with 1.2
102.7 * 1.2 = 123.27 // This is the perimeter of 1st triangle
Answer:
(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0
Step-by-step explanation:
Either one should be right I think. Hope this helps.
in file
Step-by-step explanation: