Answer:
Complemetry angle = 90° - 40°
= 50°
Using the margin of error for the z-distribution, the sample sizes are given as follows:
a) 822.
b) 1068.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
The margin of error is given by:
In which:
is the sample proportion.
We have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
Item a:
The estimate is of 
, hence we solve for n when M = 0.03.
n = 821.2
A sample of 822 is needed.
Item b:
No prior estimate, hence 
.
n = 1067.11
A sample of 1068 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
C. X = 3
Step-by-step explanation:
Multiply both sides by 5 to remove fractions
2x = 6
divide by 2
x = 3
Is there anything more to the problem?
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>
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Reflection is the flipping of a figure. If a point A(x, y) is reflected across the y axis, the new point is at A'(x, -y). Given the vertices of the triangle at A(6,4), B(-2,1) and C(5,0).
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
Find out more on reflection at: brainly.com/question/14062035
