First one is A and D.
2) D
3) *3-5* or 3-38.
4) 28
5) (35, 7)
these are your answers.
Let x and y be the sides of the rectangular corral. Therefore,
Area, A = x*y = xy
Additionally, let the side bordering the barn be x. Then,
Circumference, C = x+y+y = x+2y = 4000 ft => x = 4000 - 2y
Substituting for x in the area equation,
A = (4000-2y)y = 4000y - 2y^2
For maximum area, dA/dy = 0
Then,
dA/dy = 4000 - 4y = 0 => 4000 = 4y => y = 4000/4 = 1000 ft
And x = 4000 - 2y = 4000 - 2*1000 = 4000 - 2000 = 2000 ft
The dimensions of the corral are: 2000 ft by 1000 ft.
Area, A = xy = 2000*1000 = 2000,000 ft^2
Is there a picture to go with this ?
<span>Population mean (u) = $131.80
Standard deviation (sd) = $29.12
Sample number (n) = 15
Sample mean = $150
Using Z score formula..
Z = (150 - 131.80)/ (29.12)/15^1/2
Z = 2.420
Area under the curve (alpha) with Z = 2.420 = 49.22
In percentage Alpha = 0.4922
Probability = 1-Alpha
Probability = 1- 0.4922 = 0.5078</span>
