The relationship between two variables partialling out the effect that a third variable has on one of those variables can be exp
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Answer:
Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10
Part 2: The research board can be chosen in 32760 ways
Step-by-step explanation:
Part 1:
The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:
So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:
- n by 40 participants
- k by 4 groups
- n1, n2, n3 and n4 by 10 participants of every subgroups
We get:
Part 2:
The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:
So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.
Therefore, replacing values of:
- n by 15 doctors
- k by 4 offices
We get:
Answer:
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actually its my sista handwriting
Answer:
7) x= 5, 8) x= 6, 9) x= 7
Step-by-step explanation:
As per the secant theoram, if two secant intersect outside the circle then the product of the exterior secant and total length of each secant are equal.
7) ∴
opening parethesis and distributing 3 with x and 3.
⇒
subtracting 9 on both side.
⇒
cross multiplying
∴ x= 5.
8)
Opening parethesis and distributing 4 with x and 4.
⇒
⇒
subtracting 16 on both side.
⇒
cross multiplying
∴ x= 6.
9)
opening parethesis and distributing 5 with x and 5.
⇒
subtracting 25 on both side.
⇒
cross multiplying
∴ x= 7.