Answer:

Step-by-step explanation:
Given
-- Objective function
Constraints:



Required
Minimum value of E
To do this, we apply graphical method
See attachment for plots of
and 
From the attached plot, the point that satisfy
is:

So, we have:

This gives:



3bc is the answer to your problem
We know that a parallelogram has two pairs of congruent sides. If we know that the diagonals are perpendicular and the perimeter is 48 feet, we can solve is using the area of parraleogram formula: with that we get the answer of 5, and 9
Answer:
a) 0.1587
b) 0.0475
c) 0.7938
Step-by-step explanation:
Let's start defining our random variable.
X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''
X is modeled as a normal random variable.
X ~ N(μ,σ)
Where μ is the mean and σ is the standard deviation.
To calculate all the probabilities, we are going to normalize the random variable X.
We are going to call to the standard normal distribution ''Z''.
[(X - μ) / σ] ≅ Z
We normalize by subtracting the mean to X and then dividing by standard deviation.
We can find the values of probabilities for Z in a standard normal distribution table.
We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''
a)

Φ(-1) = 0.1587
b)


1 - Φ(1.666) = 1 - 0.9525 = 0.0475
c)

Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938
Answer:
these are two answers i got
-14=
-5=