Answer:
x = 5
Step-by-step explanation:
I already answer this on another question you actually made, but here it is again:
To do this, you need to use the Thales theorem.
You can actually apply this theorem and choose two sides of the figure to do it.In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:
LM/MN = DE/EF
This theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FN
Therefore, it's time to replace the values of those segments and solve for X:
LM/MN = DE/EF
14/16 = 6x -9 / 4x + 4
7/8 = 6x - 9 / 4x + 4
7(4x+4) = 8(6x-9)
28x + 28 = 48x - 72
72 + 28 = 48x - 28x
100 = 20x
x = 100/20
x = 5
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We are given the following data
n = 35
x = 50
s = 2
CI = 95% (z = 1.96)
The formula for the margin of error is
E = z s / √n
Substituting the given values
E = 1.96 (2) / √35)
E = 0.66 or 66%
Option B. 106 cannot represent anything, 106% is not a valid percentage. There is no probability about that. However, all the other numbers seem valid, so there.