Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week
//0.20113,0.20887[/tex]
Step-by-step explanation:
<u>step 1:-</u>
Given sample  size n=200
of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week
  Population proportion of employed individuals who work at home at least once per week  P = 
Q=1-P= 1-0.205 = 0.705
<u>step 2:-</u>
Now  
=0.0015
<u>step 3:-</u>
<u>Confidence intervals</u>
<u>using formula</u>


=0.20113,0.20887[/tex]
<u>conclusion:</u>-
99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week
//0.20113,0.20887[/tex]
 
        
             
        
        
        
Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:


Now, we will multiply both fractions as:



Therefore, the 2nd debate was 3 hours long.
 
        
             
        
        
        
9/3x = 5/8 
Using the reciprocal, multiply each side by 3/9. 
5/8 * 3/9 = 15/72
Simplify it : 5/24
x = 5/24
Hope this helps :)
        
             
        
        
        
Answer:
5040
Step-by-step explanation:
When a number is in the Parenthesis that means you multiply. First you do 42*3 The answer would be 126. Since there is another Multiplication sign you just plug in your quotient (answer) into the problem. Now the equation is 126*40. 126*40=5040