Answer:
i think the answer is 7.9373
Step-by-step explanation:
so its the Herons Formula (when you know all 3 sides) so the formula would be
Area = √ p ( p − a ) ( p − b ) ( p − c )
p is half the perimeter
or,
a + b + c
-----------------------------
2
Answer:
Step-by-step explanation:
Given
Required
Determine the area of a square with the same perimeter
First, calculate the perimeter (P) of the rectangle.
The perimeter of a square is:
Where L is the side length.
Substitute 36 for P
Make L the subject
The area of the square is:
Expanding the denominator gives
Then in the whole rational expression, we can divide through by
. Since
, we assume that
, so this is legal.
As
gets arbitrarily large, the rational terms in the numerator and denominator become negligible. So for large
, we have
And so the limit is
.
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)
