Answer:
1.165.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
. So


So the correct answer is:
1.165.
Answer:
n = -2 or n = 10
Step-by-step explanation:
n^2 - 8n - 20 = 0
Answer:
(4x+3) (4x-3)
Step-by-step explanation:
Answer:
Option C - 420
Step-by-step explanation:
Given : Objective function, P, with the given constraints

Constraints,


To find : What is the maximum value
Solution :
First we plot the graph through the given constrains.
As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)
Refer the attached figure.
So, we put all the points in P to, get maximum value.






Therefore, The value is maximum 420 at (0,12)
So, Option C is correct.
Answer:

Step-by-step explanation:
Biquadratic Equation
It's a fourth-degree equation where the terms of degree 1 and 3 are missing. It can be solved for the variable squared as if it was a second-degree equation, and then take the square root of the results
Our equation is

If we call
, our equation becomes a second-degree equation

Dividing by -3

Factoring

It leads to these solutions

Taking back the change of variable, we have for the first solution

Now for the second solution, we get imaginary (complex) values

Summarizing, the four solutions for x are
