Answer
given,
apple tree in orchard = 30
yield of apple = 450 apples
yield reduced per tree = 8 apples
number of trees added be x
trees added to maximize the yield = ?
total yield = (30 + x)(400 - 8 x )
T = 12000- 240 x + 400 x - 8 x²
T = - 8 x² + 160 x + 12000
max will occur when


x = 10 (to be added)
maximum yields = - 8 (10²) + 160 x 10 + 12000
= 12800 apple
maximum yield of the orchard is 12800 apple
Answer:
27.94%
Step-by-step explanation:
The statement tells us that we have 5 red balls and 6 blue balls, that is, there are 11 in total (5 + 6)
So the probability of red balls = 5/11 and blue balls probability = 6/11
Let X be the number of red balls of those 5 selected balls.
Then X follows a binomial distribution with the following parameters:
n = 5
p = 5/11
q = 6/11
P (X) = nCx * p ^ (x) * q ^ (n -x)
required probability is P (X = 3), replacing:
P (X = 3) = 5C3 * (5/11) ^ (3) * (6/11) ^ (5 -3)
P (X = 3) = 5! / (3! (5-3)!) * 0.02794
P (X = 3) = 10 * 0.02794
P (X = 3) = 0.2794
Which means that the probability is 27.94%
Answer:
The logo has an area of 5.7 cm².
Step-by-step explanation:
The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.


The total area of the figura is:

The logo has an area of 5.7 cm².
9.77777... Is a rational number because it has a pattern and is a decimal.
Answer:
his father is the best in the country to the right to be able for