Answer:
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- <u><em>The length of the image of the segment GH would be 5 units.</em></u>
Explanation:
You can use the <em>center of dilation</em> as your origin of coordintes.
Thus, the <em>point H</em> would have coordinates (0,0) and the <em>point G</em> (-1,0).
A <em>dilation</em> multiplies the coordinates by the <em>scale factor</em>. Hence:
- H = (0,0) → H' = 5 × (0,0) = (0,0)
- G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)
Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.
C and B is proportional relationships , because the proportional relationships always start at zero and the line must be straight !
Based on the given mathematical statement, it can be rewritten into a mathematical equation to simplify and to be solved easily. The statement, "When one is subtracted from three-tenths of a number" corresponds to the equation, 3x/10 - 1, that is assuming the number is represented by the variable x. This is equal to one-fifth of the number. In other words,
3x/10 - 1 = x/5
x = 10
You weren't clear on instructions
Answer:(a) margin error = 2.4%
(b) The margin error gives the measure in percentage of how the population parameter determined differ from the real population statistics or value.
(c) in 90% of the samples of teens in the country, the percent who go online several times a day will be within 50.6% and 55.4%. of the estimated 100%
Step-by-step explanation:
Using the proportion formulae
Margin error = z √p(1-p)/n
n= 1170, p = 53% = 0.53, 1-p = 0.47
and the z value at 90% C.I = 1.645
M error= 1.645 √0.53×0.47/1170
Margin error = 0.024 = 0.024 ×100
Margin error = 2.4%
53 - 2.4 = 50.6% and 53 + 2.4 = 55.4%
In other words 90% of the time: the number of teens who go online several time a day will be between 50.6 and 55.4%.
