Answer:

Step-by-step explanation:
Given
Total = 900
Singing = 600
Dancing = 500
None = 125
Required
Determine the number of students that participate in both
Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;
In Set Notation;

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

Open Brackets

Collect Like Terms



Collect Like Terms


Multiply both sides by -1


Reorder

<em>Hence, the number of students that do not participate in both is 325</em>
Answer: 
Step-by-step explanation:
Given : Sample size : n= 9
Degree of freedom = df =n-1 =8
Sample mean : 
sample standard deviation : 
Significance level ; 
Since population standard deviation is not given , so we use t- test.
Using t-distribution table , we have
Critical value = 
Confidence interval for the population mean :

90% confidence interval for the mean value will be :






Hence, the 90% confidence interval for the mean value= 
Answer: 12.8
Step-by-step explanation:
Divide 80.5 by pi then divide by 2