<span>Finding the square root.</span>
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:
F is reduced by 31%
Step-by-step explanation:
F = 1/(d²)
now, we increase the distance by 20% (multiply by 1.2).
F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =
= 1/1.44 × old F = 0.69 × old F
100 - 69 = 31%
Answer:
x = 12
Step-by-step explanation:
The diagram shows an equilateral triangle (because all angles are congruent). All sides in equilateral triangle are congruent, so

Solve the equation

Check this value:

Thus, 