Answer:
And rounded up we have that n=421
Step-by-step explanation:
We know that the sample proportion have the following distribution:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume that a prior estimation for p would be 
since we don't have any other info provided. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=421
Answer:
1. 30 mins
Step-by-step explanation:
Answer:
<em>2x - 1</em>
Step-by-step explanation:
<u>Equivalent Algebraic Expressions
</u>
One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.
The expression:
1 + 2(x - 1)
Can be modified by applying the following operations:
Multiplying the constant by the contents in parentheses:
1 + 2x - 2
Collecting like terms:
-1 + 2x
Or, equivalently:
2x - 1
if ∡PQR = 82°, and the ray QS bisects it, it cuts ∡PQR into two equal halves, ∡PQS and ∡RQS, each of which is then 82/2, or 41°.
