There are 105 comparisons made with 15 statistically independent scenarios.
According to the statement
we have given value of n is 15.
Then r = 2. so,
we use the formula NcR then
Substitute the values in it then
15c2
we open it according to ncr formula
In this formula we arrange the terms according to the following
NcR formula = n! /r! * (n-r)!
then the terms will arrange in this way.
So,
ncr = 15! / 2! * 13!
After solving the statement some terms will be cancel with each other and remaining terms are
ncr = 15*14/2
ncr = 210/2
ncr = 105
here the value becomes 105.
So, There are 105 comparisons made with 15 statistically independent scenarios.
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Answer:
x = 53
Step-by-step explanation:
The two angles identified are alternate exterior angles. Since the lines are parallel, alternate exterior angles are equal.
2x+15 = 3x-38
Subtract 2x from each side
2x-2x+15 = 3x-2x-38
15 = x-38
Add 38 to each side
15+38 = x-38+38
53 = x
Answer:
234
Step-by-step explanation:
We want to find the summation from n = 2 to n = 10 of the equation -4 + 5n.
We can use the summation formula:
, where a1 is the first term, 
is the last term, and n is the number of terms
Here, we can say the first term occurs when n = 2:
-4 + 5n
-4 + 5 * 2 = -4 + 10 = 6
The last term will be when n = 10:
-4 + 5n
-4 + 5 * 10 = -4 + 50 = 46
The number of terms is just 10 - 2 + 1 = 9 terms.
Substitute these in:
Thus, the answer is 234.
