Answer:
a) 0.172
b) 0.167
c) 0.1404
Step-by-step explanation:
Margin of error, E = 
here,
p = probability of the event
n = sample size
a) n = 30
p = 10 ÷ 30 = 0.333
Therefore,
E = 
= 2 × 0.0861
= 0.172
b) n = 30
p = 21 ÷ 30 = 0.7
Therefore,
E = 
= 2 × 0.0836
= 0.167
c) n = 30
p = 22 ÷ 50 = 0.44
Therefore,
E = 
= 2 × 0.0702
= 0.1404
Answer:
The third one.
Explanation:
A dilation is a shrink or a stretch of a figure.
In a dilation, all sides either increase or decrease by the same scale factor. Additionally, in a dilation the angle measures of the figure do not change.
In the first figure, we can see that the base angles of the pre-image are slightly different than those of the image. This is not a dilation.
In the second figure, the angles are noticeably different; again, not a dilation.
In the fourth figure, much like the second figure, the angles are noticeably different. This is not a dilation.
In the third figure, however, we can see that the slanted sides of the larger figure go through three boxes; they are three units long. Additionally we can see that the slanted sides of the smaller figure go through 1 side; this is a dilation b a factor of 3.
The base sides of the third figure, in the larger shape, are 6 units long; in the smaller figure, they are 2 units long. This is a dilation by a factor of 3.
Step-by-step explanation:
the table is non-existent
Anything under 2 would be true
Well, to get rid of them, you would have to add or subtract that fraction to both sides of the equation (making them still equal to each other), so it would just get too complicated to completely get rid of a fraction. That is, if you don't need to.
