Answer:
Step-by-step explanation:
we would like to figure out the derivative of the following:
to do so, let,
By simplifying we acquire:
use law of exponent which yields:
take derivative in both sides:
use sum derivation rule which yields:
By constant derivation we acquire:
use exponent rule of derivation which yields:
simplify exponent:
two negatives make positive so,
<h3>further simplification if needed:</h3>
by law of exponent we acquire:
simplify addition:
and we are done!
The probability from 1.5 ≤ x ≤ 3 can be calculated by dividing the Area from x=1.5 to x=3 by the total Area of the distribution.
The given distribution is rectangular shaped, so its Area will be = Length x Width = 1 x 3 = 3 square units
From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.
Thus, <span>P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
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Answer:
Your question was a bit confusing so I found another related question. You can reference it with your own details.
A vendor bought 10 dozen eggs at the rate of Rs 22 per dozen. Six of the eggs were rotten. He sold the remaining eggs at the rate of Rs 2.50 per egg . Find his profit or loss
Vendor bought 10 dozen eggs which means the vendor bought:
= 10 * 12 eggs
= 120 eggs
6 were rotten and he sold the rest for Rs. 2.50 per egg.
= (120 - 6) * 2.5
= Rs. 285
The amount he spent on the eggs was:
= 10 dozen * 22
= Rs. 220
Profit = 285 - 220
= Rs. 65
Let's draw the diagonals of the square. The square is being divided by 4 right triangles. & these right triangles are also isosceles (the diagonals of a square intercepts each other in the middle).
The area of each right triangle = (6 x 6) / 2 = 18 yard² & the 4 right triangles => 4x 18 = 72 yd²
