Answer:
a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

d.9
b) 
a.15
c) For this case we have the sample size n = 25 and the sample variance is
, the standard error can founded with this formula:

Step-by-step explanation:
Part a
For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

d.9
Part b
From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

And the sample variance for this case can be calculated from this formula:

a.15
Part c
For this case we have the sample size n = 25 and the sample variance is
, the standard error can founded with this formula:

=<span><span><span><span><span>16<span>x4</span></span>+<span>40<span>x3</span></span></span>+<span>5<span>x2</span></span></span>−<span>25x</span></span>−<span>6</span></span>
Answer:
14
Step-by-step explanation:
prime factorization of 100
100 = 2 * 2 * 5 * 5
Sum of all prime factors
2 + 2 + 5 + 5 = 14
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Extra credit
Sum of unique prime factors
2 + 5 = 7