Answer:
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.
Step-by-step explanation:
Given that 20% of the residents in a certain state support an increase in the property tax.
Sample size = 400
We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)
i.e. margin of error <0.04
Std error of sample = 
Critical value = margin of error/ std error = 
We know z value for 95% two tailed roughly equals 2.
Hence 95% confidence is right.
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Quadrilateral QRST
Q (1, 2), R (3, 4), S (5, 6), and T (2, 7)
Dlated Factor = 2
Required
Coordinates of quadrilateral Q′R′S′T′
<em>Provided that a quadrilateral is dilated with the center of dilation at the origin; the new dilated shape is simply the multiplication of the dilation factor by the coordinates of the original shape;</em>
<em />
In other words,
Q'R'S'T' = Dilation factor * QRST
When Q = (1,2)
Q' = 2 * (1,2)
Q' = (2,4)
When R = (3,4)
R' = 2 * (3,4)
R' = (6,8)
When S = (5,6)
S' = 2* (5,6)
S' = (10,12)
When T= (2,7)
T' = 2 * (2,7)
T' = (4,14)
Hence, the coordinates of Q'R'S'T' is
Q' = (2,4); R' = (6,8); S' = (10,12); T' = (4,14)
Answer:
9/25
Step-by-step explanation:
(6/10)(6/10)
= (3/5)(3/5)
=9/25
Yes it is possible to prove this is a parallelogram.
XN = NZ means the diagonal XZ has been bisected
The same goes for diagonal WY (because NY = NW)
Furthermore, we have the pair of vertical angles XNY and ZNW which are congruent
Through SAS, we can say that triangles XNY and ZNW are congruent
Using CPCTC, we can get to the fact that angle NWZ = angle NYX which are alternate interior angles leading to proving that XY || WZ
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If you repeat those steps above, but focus on triangles WNX and YNZ, we can prove that XW || YZ
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After proving that XY || WZ and XW || YZ, this is enough to prove we have a parallelogram as the opposite sides are parallel.
