<u>1.38</u> as a fraction is <em>138/100</em> .
As a fraction, it can be reduced to lower terms.
138/100 = 69 / 50
Answer: the margin of error is 0.02
Step-by-step explanation:
Confidence interval for population proportion is written as
Sample proportion ± margin of error
If the confidence interval for this population proportion is (0.52, 0.56.), it means that the lower boundary is 0.52 and the upper boundary is 0.56
Let x represent the sample proportion and y represent the margin of error. Therefore,
x - y = 0.52
x + y = 0.56
Subtracting the second equation from the first equation, it becomes
- 2y = - 0.04
y = - 0.04/-2
y = 0.02
The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
<h3>Trigonometric ratios</h3>
Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
learn more on trigonometric ratios here: brainly.com/question/24320387
#SPJ1
