Answer:
Margin of error of 0.0485 hours.
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
.
That is z with a pvalue of
, so Z = 1.96.
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 question:

The margin of error is of:



Margin of error of 0.0485 hours.
Answer:
It's A.
Step-by-step explanation:
5x2 + 60x = 0
5x is the GCF so:
5x(x + 12 ) = 0
5x = 0, x + 12 = 0
x =0, x = -12.
Answer:
110 students
Step-by-step explanation:
The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:

The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:

The number of students that have taken a course in either calculus or discrete mathematics is:

Answer:
No, it is not possible to obtain zero by adding two vectors of unequal magnitudes.
Explanation:
The Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vectors of unequal magnitude cannot be added to give a null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.