Well lets have x be the side perpendicular to the barn. You will have two sides of length "x". Which means the side parallel to the barn has the length of (200 -2x)
So we know the area of the pasture is length * width or x * (200 - 2x)
This means we are seeking to maximize x * (200 - 2x).
This is actually a parabola with zeroes that are at x = 0 and x = 100 which means the vertex is at x = 50.
So when x = 50 > (200 - 2x) = 100
So that means the maximum area of the pasture is 50 * 100 = 5000 square feet.
Max mart is $1.25 for an orange, and megmart is $1.125 for an orange. So megmart has the best deal and the difference is $.125
Answer:$51.2
Step-by-step explanation:
We have been given that at the restaurant, the cost of the meal before tax was $40. The tax is 8.5%.
The cost after tax would be .
Sheri wants to leave at least an 18% tip. The cost of meal after tip would be .
Therefore, the total cost of the dinner would be $51.2.
The proportion of people with IQs above 130 is 2.3%.
<h3>How to calculate the value?</h3>
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Here the mean is 100 and a standard deviation of 15.
µ = 100, σ = 15
P(X > 130) =
= P( (X-µ)/σ > (130-100)/15)
= P(z > 2)
= 1 - P(z < 2)
Using excel function:
= 1 - NORM.S.DIST(2, 1)
= 0.023 = 2.3%
The value is 2.3%.
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The area is A = 42. Hope this helps