Answer:
a. .92
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error of the interval is:

The lower bound is the point estimate
subtracted by the margin of error.
The upper bound is the point estimate
added to the margin of error.
Point estimate:
The confidence interval is symmetric, so it is the mean between the two bounds.
In this problem:

Sample of 400, which means that 
Margin of error is the estimate subtracted by the lower bound. So 
We have to find z.




has a pvalue of 0.96.
This means that:




Confidence level:

So the correct answer is:
a. .92
Answer:
use formula
area =1/4*π*d^2
81π=1/4*π*d^2(here two pie gets cancel)
81=1/4*d^2
81*4=d^2
=d
18=d
Step-by-step explanation:
If you would like to write an inequality to represent the situation, using X to represent the amount of Alicia's paycheck, you can calculate this using the following steps:
X ... the amount of Alicia's paycheck
X/2 - $42.15 >= $20
X/2 >= $20 + $42.15
X/2 >= $62.15 /*2
X >= $62.15 * 2
X >= $124.3
The correct result would be <span>X >= $124.3</span>.
Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that
found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.