Answer:
(A) With 99% confidence, the proportion that favours the Green initiative is between 418.895 and 423.105 (no approximation; answers were gotten exactly in 3 decimal places).
(B) If many groups of 593 (greater than the initial sample size of 556) randomly selected Americans were surveyed then a different confidence interval would be used or produced from each group.
About 90% of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 10% will not contain the true population proportion.
Step-by-step explanation:
(A) 99% of 421 = 416.79
421 - 416.79 = 4.21
4.21 ÷ 2 = 2.105
(421-2.105), (421+2.105)
The lower and upper limits are:
[418.895 , 423.105]
(B) A wider confidence interval such as 90% will be better suited in a case of multiple samples like this.
A) 9 plus 4
B) 13
C) x plus 5
D) 5
E) 4
Hope this is right sorry if it’s wrong
Given equation is
To find the x coordinate of vertex we use formula
From the given equation a= 2, b= 8 and c= -5
Plug in all the values
The x coordinate of vertex is x=-2
To find y coordinate of vertex we plug in -2 for x in the given equation
So vertex is (-2,-13)
To express the equation in a point-slope form, obtain first the slope of the line between the points. The slope, m, of this line is,
(y2 - y1)/(x2 - x1) = (8 - 0)/(2--2) = 2
The point-slope form of the line is generally expressed as
y - y2 = m (x - x2)
Thus, in this given the point-slope form is,
y - 8 = 2 (x - 2)
<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
Shapes are said to be similar if we can turn one into the other by moving, rotating, flipping, or scaling (or dilating), which means making it bigger or smaller, kind of zooming in or out. In the figure below, we have two right triangles that are similar to each other. So they share the same angles and their corresponding sides are proportional. This proportion can be found by the ratio that is a fraction that tells us how many times longer a thing is compared to another thing.
Finally, this can be a SIMILARITY SENTENCE:
<em>These two triangles are similar because you can turn one into the other by moving and scaling and the </em><em>ratio</em><em> is </em><em>r = 2, </em><em>So the triangle on the right is two times bigger the triangle on the left.</em>