What is the proportional eqaution D = n
1 answer:
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We have been given that and angle A is in quadrant 1. We are asked to find the exact value of
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
Now we will find adjacent side using Pythagoras theorem as:
Let us take positive square root on both sides:
Therefore, adjacent side of angle A is 5 units.
Therefore, the exact value of cot A is .
Answer:
a
The 90% confidence interval that estimate the true proportion of students who receive financial aid is
b
Step-by-step explanation:
Considering question a
From the question we are told that
The sample size is n = 200
The number of student that receives financial aid is
Generally the sample proportion is
=>
=>
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 90% confidence interval is mathematically represented as
=>
Considering question b
From the question we are told that
The margin of error is E = 0.03
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the sample size is mathematically represented as
=>
=>