Answer:
(19228.737 ; 20771.263)
Step-by-step explanation:
Given that:
Sample size, n = 17
Sample mean, m = 20,000
Sample standard deviation, s = 1500
α = 95%
The confidence interval,
Mean ± margin of error
Margin of Error : Tcritical * s/sqrt(n)
Tcritical at α = 0.05 ; df = n-1 = 17 - 1 = 16 ; 2 - tailed test = 2.120
Margin of Error = 2.120 * 1500/sqrt(17) = 771.263
Lower boundary :
20,000 - 771.263 = 19228.737
Upper boundary :
20,000 + 771.263 = 20771.263
Confidence interval :
(19228.737 ; 20771.263)
Answer:
=64 ft
Step-by-step explanation:
The wire, the pole and the flat surface form a right triangle with a base angle of 40°. The pole is the height of the triangle and is opposite the angle 40°.
Therefore we can use the trigonometric ratio -sine of the angle 40° -to find the height.
Sin∅ =opposite/hypotenuse
opposite=hypotenuse × sin∅
=100ft × Sin 40°
=64.28ft
≅64 ft
Answer:
see the explanation
Step-by-step explanation:
Let
L ---> the length of rectangle in cm
W ---> the width of rectangle in cm
The area of rectangle is
so
---> equation A
we know that
<u><em>Prime numbers</em></u> only have factors of 1 and themselves.
So a rectangle with an area of 991 cm² can only be either
or
Basically evaluate the riennam sum for infinitely small rectangles
basically we got
in interval form