Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
=1
Step-by-step explanation:
2(9)-(2)=8
18-2=8
9=8
9-8
=1
Im pretty sure this is the answer
Answer:
0.8413 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4.00 centimeters
Standard Deviation, σ = 0.60 centimeters
Sample size, n = 16
We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(diameter of sample is more than 3.85 centimeter)
P(x > 3.85)
Calculation the value from standard normal z table, we have,
0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.
1,188 for surface area. If it's not about surface area I'm sorry bud
Answer:
Hence,
The measure of ∠A is 60.065°

Step-by-step explanation:
Given:
ΔABC is a Right Angle Triangle at ∠ B = 90°
BC = Opposite side to ∠A = 13 unit
AC = Hypotenuse = 15 unit
To Find:
m∠A = ?
Solution:
In Right Angle Triangle ABC ,Sine Identity,

Substituting the values we get

Hence,
The measure of ∠A is 60.065°
